inelastic design spectra _newmark hall design spectra_[yoppy soleman, 2006]

243
Inelastic Design Spectra (IDS)_ 1. Equivalent Linear System (Rosenblueth, Herrera, Chopra) 2. Elastic Design Spectrum (Newmark, Hall) 3. Inelastic Design Spectrum (Newmark, Hall) 4. Metoda IDS (Inelastic Design Spectra) A. Variasi perioda dan redaman viskos sistem l 0 0.5 1 1.5 2 2.5 3 a = 0.00 1.00 1.00 1.00 1.22 1.41 1.58 1.73 a = 0.05 1.00 1.00 1.00 1.21 1.38 1.52 1.65 a = 0.10 1.00 1.00 1.00 1.20 1.35 1.47 1.58 a = 0.20 1.00 1.00 1.00 1.17 1.29 1.39 1.46 a 1. Hubungan perioda untuk sistem linear ekivalen deng Faktor kekakuan pasca- luluh, a 0 1 2 3 4 5 6 7 0.00 0.50 1.00 1.50 2.00 2.50 3.00 3.50 Variasi Perioda terhadap Teq : Tn

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Excel spreadsheet for counting Inelastic Design Spectra (IDS) to implement A.K. Chopra Method. This is one of several methods that are included in Displacement-Based Method Procedures for Earthquake Resistant Structure Design.

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Page 1: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

Inelastic Design Spectra (IDS)_Prof. A.K. Chopra1. Equivalent Linear System (Rosenblueth, Herrera, Chopra)2. Elastic Design Spectrum (Newmark, Hall)3. Inelastic Design Spectrum (Newmark, Hall)4. Metoda IDS (Inelastic Design Spectra)

A. Variasi perioda dan redaman viskos sistem linear ekivalen dengan duktilitas

0 0.5 1 1.5 2 2.5 3 3.5a = 0.00 1.00 1.00 1.00 1.22 1.41 1.58 1.73 1.87

a = 0.05 1.00 1.00 1.00 1.21 1.38 1.52 1.65 1.76

a = 0.10 1.00 1.00 1.00 1.20 1.35 1.47 1.58 1.67

a = 0.20 1.00 1.00 1.00 1.17 1.29 1.39 1.46 1.53

a

1. Hubungan perioda untuk sistem linear ekivalen dengan duktilitas

Fa

kto

r ke

kaku

an

p

asc

a-lu

luh

, a

Faktor Duktilitas Struktur, m

0 1 2 3 4 5 6 7 8 9 100.00

0.50

1.00

1.50

2.00

2.50

3.00

3.50

Variasi Perioda terhadap Faktor Duktilitas

= a0.00 = a

0.05 = a

0.10

Faktor Duktilitas, m

Te

q :

Tn

Page 2: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

0 0.5 1 1.5 2 2.5 3 3.5a = 0.00 0.00 0.00 0.00 0.21 0.32 0.38 0.42 0.45

a = 0.05 0.00 0.00 0.00 0.19 0.27 0.32 0.35 0.37

a = 0.10 0.00 0.00 0.00 0.17 0.25 0.29 0.31 0.31

a = 0.20 0.00 0.00 0.00 0.14 0.20 0.22 0.23 0.23

2. Hubungan redaman viskos ekivalen pada sistem linear ekivalen dengan duktilitas

Fa

kto

r ke

kaku

an

p

asc

a-lu

luh

, a

Faktor Duktilitas Struktur, m

0 1 2 3 4 5 6 7 8 9 100.00

0.50

1.00

1.50

2.00

2.50

3.00

3.50

Variasi Perioda terhadap Faktor Duktilitas

= a0.00 = a

0.05 = a

0.10

Faktor Duktilitas, m

Te

q :

Tn

0.00

0.10

0.20

0.30

0.40

0.50

0.60

0.70

Variasi Redaman Viskos Ekivalen terhadap Faktor Duktilitas

= a0.00 = a

0.05 = a

0.10

Faktor Duktilitas, m

Re

da

ma

n v

isko

s e

kiv

ale

n, xe

q

Page 3: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

B. Elastic Design Spectrum

Nilai-nilai maksimum spektra tripartie Newmark-Hall

x (%) A

2.00 3.66 2.92 2.42 1.0g

3.00 3.24 2.64 2.24 981 cm/s2

5.00 2.71 2.30 2.01

10.00 1.99 1.84 1.69

23.34 1.1038 1.27 1.31 0.40789 4.772309

NoPBA 1.0g

1 0.010 1.00002 0.020 1.00003 0.030 1.0000

4 0.033 1.00005 0.0334 1.06886 0.0335 1.07117 0.0336 1.07338 0.0337 1.07569 0.0338 1.0778

10 0.125 1.103911 0.130 1.103912 0.140 1.103913 0.150 1.103914 0.160 1.103915 0.170 1.103916 0.180 1.103917 0.190 1.103918 0.200 1.103919 0.210 1.103920 0.220 1.103921 0.230 1.103922 0.240 1.103923 0.250 1.103924 0.260 1.103925 0.270 1.1039

1. Faktor Amplifikasi Spektrum Percepatan,

Kecepatan dan Displasemen vs Redaman Redaman x = 5%

aA aV aD

2. Elastic Pseudo-Accelleration Design Spectrum (Newmark-Hall Procedure)

Tabel Respons Spektra Percepatan Elastik, x = x0 = 5%

Period (s) (m=1)

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 5.5 6.00.0

0.2

0.4

0.6

0.8

1.0

1.2

Pseudo Respons Percepatan Elastik Newmark-Hall (x=5%) Profil Tanah Keras (Tipe B), PBA = 1.0g, m=1

Perioda Tn (detik)

Pseudo-A

ccellera

tion S

pectr

a (

g)

Page 4: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

26 0.280 1.103927 0.290 1.103928 0.300 1.103929 0.310 1.103930 0.320 1.103931 0.330 1.103932 0.340 1.103933 0.350 1.103934 0.360 1.103935 0.370 1.103936 0.380 1.103937 0.390 1.103938 0.400 1.103939 0.410 1.103940 0.420 1.103941 0.430 1.103942 0.440 1.103943 0.450 1.103944 0.460 1.103945 0.470 1.103946 0.480 1.103947 0.490 1.103948 0.500 1.103949 0.510 1.103950 0.520 1.103951 0.530 1.103952 0.540 1.103953 0.550 1.103954 0.560 1.103955 0.570 1.103956 0.580 1.103957 0.590 1.103958 0.600 1.103959 0.610 1.103960 0.620 1.103961 0.630 1.103962 0.640 1.103963 0.650 1.103964 0.660 1.1039

65 0.667 1.103966 0.670 1.097067 0.680 1.080968 0.690 1.065269 0.700 1.050070 0.710 1.035271 0.720 1.020872 0.730 1.006873 0.740 0.9932

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 5.5 6.00.0

0.2

0.4

0.6

0.8

1.0

1.2

Pseudo Respons Percepatan Elastik Newmark-Hall (x=5%) Profil Tanah Keras (Tipe B), PBA = 1.0g, m=1

Perioda Tn (detik)

Pseudo-A

ccellera

tion S

pectr

a (

g)

Page 5: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

74 0.750 0.980075 0.760 0.967176 0.770 0.954577 0.780 0.942378 0.790 0.930479 0.800 0.918880 0.810 0.907481 0.820 0.896382 0.830 0.885583 0.840 0.875084 0.850 0.864785 0.860 0.854786 0.870 0.844887 0.880 0.835288 0.890 0.825889 0.900 0.816790 0.910 0.807791 0.920 0.798992 0.930 0.790393 0.940 0.781994 0.950 0.773795 0.960 0.7656

96 0.970 0.757797 0.980 0.750098 0.990 0.742499 1.000 0.7350

100 1.100 0.6682101 1.200 0.6125102 1.300 0.5654103 1.400 0.5250104 1.500 0.4900105 1.600 0.4594106 1.700 0.4324107 1.800 0.4083108 1.900 0.3868109 2.000 0.3675110 2.100 0.3500111 2.200 0.3341112 2.300 0.3196113 2.400 0.3063114 2.500 0.2940115 2.600 0.2827116 2.700 0.2722117 2.800 0.2625118 2.900 0.2534119 3.000 0.2450120 3.100 0.2371121 3.200 0.2297

PGA = 1.0g (ARS)

Page 6: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

122 3.300 0.2227123 3.400 0.2162124 3.500 0.2100125 3.600 0.2042126 3.700 0.1986127 3.800 0.1934128 3.900 0.1885129 4.000 0.1838130 4.100 0.1793

131 4.120 0.1784132 4.150 0.1716133 4.200 0.1675134 4.300 0.1598135 4.400 0.1526136 4.500 0.1459137 4.600 0.1397138 4.700 0.1338139 4.800 0.1283140 4.900 0.1231141 5.000 0.1182142 5.500 0.0977143 6.000 0.0821

144 10.000 0.0740145 11.000 0.0612146 20.000 0.0185147 25.000 0.0118

Displasemen 1.0gNo

PBA 1.0g

1 0.010 0.00252 0.020 0.00993 0.030 0.0224

4 0.033 0.02715 0.0334 0.02966 0.0335 0.02997 0.0336 0.0301

PGA = 1.0g (ARS)

Tabel Respons Spektra Displasemen, x = x0 = 5%

Period (s) (m=1)

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 5.5 6.00.0

25.0

50.0

75.0

100.0

125.0

150.0

175.0

200.0

Elastic Deformation Design Spectrum, x = 5%

Perioda Tn (detik)

Um

, cm

)

Page 7: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

8 0.0337 0.03049 0.0338 0.0306

10 0.125 0.428611 0.130 0.463612 0.140 0.537613 0.150 0.617214 0.160 0.702215 0.170 0.792716 0.180 0.888717 0.190 0.990218 0.200 1.097219 0.210 1.209720 0.220 1.327621 0.230 1.451122 0.240 1.580023 0.250 1.714424 0.260 1.854325 0.270 1.999726 0.280 2.150627 0.290 2.306928 0.300 2.468729 0.310 2.636130 0.320 2.808931 0.330 2.987232 0.340 3.171033 0.350 3.360234 0.360 3.555035 0.370 3.755236 0.380 3.961037 0.390 4.172238 0.400 4.388939 0.410 4.611140 0.420 4.838741 0.430 5.071942 0.440 5.310643 0.450 5.554744 0.460 5.804345 0.470 6.059446 0.480 6.320047 0.490 6.586148 0.500 6.857649 0.510 7.134750 0.520 7.417251 0.530 7.705252 0.540 7.998753 0.550 8.297754 0.560 8.602255 0.570 8.9122

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 5.5 6.00.0

25.0

50.0

75.0

100.0

125.0

150.0

175.0

200.0

Elastic Deformation Design Spectrum, x = 5%

Perioda Tn (detik)

Um

, cm

)

Page 8: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

56 0.580 9.227657 0.590 9.548658 0.600 9.875059 0.610 10.206960 0.620 10.544361 0.630 10.887262 0.640 11.235563 0.650 11.589464 0.660 11.9487

65 0.667 12.203566 0.670 12.236967 0.680 12.419568 0.690 12.602269 0.700 12.784870 0.710 12.967571 0.720 13.150172 0.730 13.332773 0.740 13.515474 0.750 13.698075 0.760 13.880776 0.770 14.063377 0.780 14.245978 0.790 14.428679 0.800 14.611280 0.810 14.793981 0.820 14.976582 0.830 15.159183 0.840 15.341884 0.850 15.524485 0.860 15.707186 0.870 15.889787 0.880 16.072388 0.890 16.255089 0.900 16.437690 0.910 16.620391 0.920 16.802992 0.930 16.985593 0.940 17.168294 0.950 17.350895 0.960 17.533596 0.970 17.716197 0.980 17.898798 0.990 18.081499 1.000 18.2640

100 1.100 20.0904101 1.200 21.9168102 1.300 23.7432103 1.400 25.5696104 1.500 27.3960

Page 9: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

105 1.600 29.2224106 1.700 31.0489107 1.800 32.8753108 1.900 34.7017109 2.000 36.5281110 2.100 38.3545111 2.200 40.1809112 2.300 42.0073113 2.400 43.8337114 2.500 45.6601115 2.600 47.4865116 2.700 49.3129117 2.800 51.1393118 2.900 52.9657119 3.000 54.7921120 3.100 56.6185121 3.200 58.4449122 3.300 60.2713123 3.400 62.0977124 3.500 63.9241125 3.600 65.7505126 3.700 67.5769127 3.800 69.4033128 3.900 71.2297129 4.000 73.0561130 4.100 74.8825

131 4.120 75.2478132 4.150 73.4289133 4.200 73.4289134 4.300 73.4289135 4.400 73.4289136 4.500 73.4289137 4.600 73.4289138 4.700 73.4289139 4.800 73.4289140 4.900 73.4289141 5.000 73.4289142 5.500 73.4289143 6.000 73.4289

144 10.000 183.8828145 11.000 183.8828146 20.000 183.8828147 25.000 183.8828

Page 10: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

Parameter Integrasi Dt Spektra Newmark-Hall:

b = 0.25

g = 0.50

Faktor Reduksi Gaya, R

NoPBA 0.4g R PBA 0.4g R PBA 0.4g R PBA 0.4g

1.0 1.5 2.0 4.01 0.010 0.4000 1.0000 0.4000 1.0000 0.4000 1.0000 0.4000

2 0.020 0.4000 1.0000 0.4000 1.0000 0.4000 1.0000 0.4000

Period (s)

Page 11: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

3 0.030 0.4000 1.0000 0.4000 1.0000 0.4000 1.0000 0.4000

Ta 4 0.033 0.4000 1.0000 0.4000 1.0000 0.4000 1.0000 0.4000

5 0.0334 0.4275 1.0000 0.4275 1.0905 0.4275 1.1472 0.4275

6 0.0335 0.4284 1.0000 0.4284 1.0905 0.4284 1.1472 0.4284

7 0.0336 0.4293 1.0000 0.4293 1.0905 0.4293 1.1472 0.4293

8 0.0337 0.4302 1.0000 0.4302 1.0905 0.4302 1.1472 0.4302

9 0.0338 0.4311 1.0000 0.4311 1.0905 0.4311 1.1472 0.4311

Tb 10 0.125 0.4416 1.0000 0.4416 1.4142 0.4416 1.7321 0.4416

11 0.130 0.4416 1.0000 0.4416 1.4142 0.4416 1.7321 0.4416

12 0.140 0.4416 1.0000 0.4416 1.4142 0.4416 1.7321 0.4416

13 0.150 0.4416 1.0000 0.4416 1.4142 0.4416 1.7321 0.4416

14 0.160 0.4416 1.0000 0.4416 1.4142 0.4416 1.7321 0.4416

15 0.170 0.4416 1.0000 0.4416 1.4142 0.4416 1.7321 0.4416

16 0.180 0.4416 1.0000 0.4416 1.4142 0.4416 1.7321 0.4416

17 0.190 0.4416 1.0000 0.4416 1.4142 0.4416 1.7321 0.4416

18 0.200 0.4416 1.0000 0.4416 1.4142 0.4416 1.7321 0.4416

19 0.210 0.4416 1.0000 0.4416 1.4142 0.4416 1.7321 0.4416

20 0.220 0.4416 1.0000 0.4416 1.4142 0.4416 1.7321 0.4416

21 0.230 0.4416 1.0000 0.4416 1.4142 0.4416 1.7321 0.4416

22 0.240 0.4416 1.0000 0.4416 1.4142 0.4416 1.7321 0.4416

23 0.250 0.4416 1.0000 0.4416 1.4142 0.4416 1.7321 0.4416

24 0.260 0.4416 1.0000 0.4416 1.4142 0.4416 1.7321 0.4416

25 0.270 0.4416 1.0000 0.4416 1.4142 0.4416 1.7321 0.4416

26 0.280 0.4416 1.0000 0.4416 1.4142 0.4416 1.7321 0.4416

27 0.290 0.4416 1.0000 0.4416 1.4142 0.4416 1.7321 0.4416

28 0.300 0.4416 1.0000 0.4416 1.4142 0.4416 1.7321 0.4416

29 0.310 0.4416 1.0000 0.4416 1.4142 0.4416 1.7321 0.4416

30 0.320 0.4416 1.0000 0.4416 1.4142 0.4416 1.7321 0.4416

Tc8.0 31 0.330 0.4416 1.0000 0.4416 1.4142 0.4416 1.7321 0.4416

32 0.340 0.4416 1.0000 0.4416 1.4142 0.4416 1.7321 0.4416

33 0.350 0.4416 1.0000 0.4416 1.4142 0.4416 1.7321 0.4416

34 0.360 0.4416 1.0000 0.4416 1.4142 0.4416 1.7321 0.4416

Tc6.0 35 0.370 0.4416 1.0000 0.4416 1.4142 0.4416 1.7321 0.4416

36 0.380 0.4416 1.0000 0.4416 1.4142 0.4416 1.7321 0.4416

37 0.390 0.4416 1.0000 0.4416 1.4142 0.4416 1.7321 0.4416

38 0.400 0.4416 1.0000 0.4416 1.4142 0.4416 1.7321 0.4416

39 0.410 0.4416 1.0000 0.4416 1.4142 0.4416 1.7321 0.4416

40 0.420 0.4416 1.0000 0.4416 1.4142 0.4416 1.7321 0.4416

41 0.430 0.4416 1.0000 0.4416 1.4142 0.4416 1.7321 0.4416

42 0.440 0.4416 1.0000 0.4416 1.4142 0.4416 1.7321 0.4416

Tc4.0 43 0.450 0.4416 1.0000 0.4416 1.4142 0.4416 1.7321 0.4416

Page 12: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

44 0.460 0.4416 1.0000 0.4416 1.4142 0.4416 1.7321 0.4416

45 0.470 0.4416 1.0000 0.4416 1.4142 0.4416 1.7321 0.4416

46 0.480 0.4416 1.0000 0.4416 1.4142 0.4416 1.7321 0.4416

47 0.490 0.4416 1.0000 0.4416 1.4142 0.4416 1.7321 0.4416

48 0.500 0.4416 1.0000 0.4416 1.4142 0.4416 1.7321 0.4416

49 0.510 0.4416 1.0000 0.4416 1.4142 0.4416 1.7321 0.4416

50 0.520 0.4416 1.0000 0.4416 1.4142 0.4416 1.7321 0.4416

51 0.530 0.4416 1.0000 0.4416 1.4142 0.4416 1.7321 0.4416

52 0.540 0.4416 1.0000 0.4416 1.4142 0.4416 1.7321 0.4416

53 0.550 0.4416 1.0000 0.4416 1.4142 0.4416 1.7321 0.4416

54 0.560 0.4416 1.0000 0.4416 1.4142 0.4416 1.7321 0.4416

55 0.570 0.4416 1.0000 0.4416 1.4142 0.4416 1.7321 0.4416

56 0.580 0.4416 1.0000 0.4416 1.4142 0.4416 1.7321 0.4416

Tc2.0 57 0.590 0.4416 1.0000 0.4416 1.4142 0.4416 1.7691 0.4416

58 0.600 0.4416 1.0000 0.4416 1.4142 0.4416 1.7991 0.4416

59 0.610 0.4416 1.0000 0.4416 1.4142 0.4416 1.8291 0.4416

60 0.620 0.4416 1.0000 0.4416 1.4142 0.4416 1.8591 0.4416

Tc1.5 61 0.630 0.4416 1.0000 0.4416 1.4168 0.4416 1.8891 0.4416

62 0.640 0.4416 1.0000 0.4416 1.4393 0.4416 1.9190 0.4416

63 0.650 0.4416 1.0000 0.4416 1.4618 0.4416 1.9490 0.4416

64 0.660 0.4416 1.0000 0.4416 1.4843 0.4416 1.9790 0.4416

Tc 65 0.667 0.4416 1.0000 0.4416 1.5000 0.4416 2.0000 0.4416

66 0.670 0.4388 1.0000 0.4388 1.5000 0.4388 2.0000 0.4388

67 0.680 0.4324 1.0000 0.4324 1.5000 0.4324 2.0000 0.4324

68 0.690 0.4261 1.0000 0.4261 1.5000 0.4261 2.0000 0.4261

69 0.700 0.4200 1.0000 0.4200 1.5000 0.4200 2.0000 0.4200

70 0.710 0.4141 1.0000 0.4141 1.5000 0.4141 2.0000 0.4141

71 0.720 0.4083 1.0000 0.4083 1.5000 0.4083 2.0000 0.4083

72 0.730 0.4027 1.0000 0.4027 1.5000 0.4027 2.0000 0.4027

73 0.740 0.3973 1.0000 0.3973 1.5000 0.3973 2.0000 0.3973

74 0.750 0.3920 1.0000 0.3920 1.5000 0.3920 2.0000 0.3920

75 0.760 0.3868 1.0000 0.3868 1.5000 0.3868 2.0000 0.3868

76 0.770 0.3818 1.0000 0.3818 1.5000 0.3818 2.0000 0.3818

77 0.780 0.3769 1.0000 0.3769 1.5000 0.3769 2.0000 0.3769

78 0.790 0.3722 1.0000 0.3722 1.5000 0.3722 2.0000 0.3722

79 0.800 0.3675 1.0000 0.3675 1.5000 0.3675 2.0000 0.3675

80 0.810 0.3630 1.0000 0.3630 1.5000 0.3630 2.0000 0.3630

81 0.820 0.3585 1.0000 0.3585 1.5000 0.3585 2.0000 0.3585

82 0.830 0.3542 1.0000 0.3542 1.5000 0.3542 2.0000 0.3542

83 0.840 0.3500 1.0000 0.3500 1.5000 0.3500 2.0000 0.3500

84 0.850 0.3459 1.0000 0.3459 1.5000 0.3459 2.0000 0.3459

Page 13: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

85 0.860 0.3419 1.0000 0.3419 1.5000 0.3419 2.0000 0.3419

86 0.870 0.3379 1.0000 0.3379 1.5000 0.3379 2.0000 0.3379

87 0.880 0.3341 1.0000 0.3341 1.5000 0.3341 2.0000 0.3341

88 0.890 0.3303 1.0000 0.3303 1.5000 0.3303 2.0000 0.3303

89 0.900 0.3267 1.0000 0.3267 1.5000 0.3267 2.0000 0.3267

90 0.910 0.3231 1.0000 0.3231 1.5000 0.3231 2.0000 0.3231

91 0.920 0.3196 1.0000 0.3196 1.5000 0.3196 2.0000 0.3196

92 0.930 0.3161 1.0000 0.3161 1.5000 0.3161 2.0000 0.3161

93 0.940 0.3128 1.0000 0.3128 1.5000 0.3128 2.0000 0.3128

94 0.950 0.3095 1.0000 0.3095 1.5000 0.3095 2.0000 0.3095

95 0.960 0.3063 1.0000 0.3063 1.5000 0.3063 2.0000 0.3063

96 0.970 0.3031 1.0000 0.3031 1.5000 0.3031 2.0000 0.3031

97 0.980 0.3000 1.0000 0.3000 1.5000 0.3000 2.0000 0.3000

98 0.990 0.2970 1.0000 0.2970 1.5000 0.2970 2.0000 0.2970

99 1.000 0.2940 1.0000 0.2940 1.5000 0.2940 2.0000 0.2940

100 1.100 0.2673 1.0000 0.2673 1.5000 0.2673 2.0000 0.2673

101 1.200 0.2450 1.0000 0.2450 1.5000 0.2450 2.0000 0.2450

102 1.300 0.2262 1.0000 0.2262 1.5000 0.2262 2.0000 0.2262

103 1.400 0.2100 1.0000 0.2100 1.5000 0.2100 2.0000 0.2100

104 1.500 0.1960 1.0000 0.1960 1.5000 0.1960 2.0000 0.1960

105 1.600 0.1838 1.0000 0.1838 1.5000 0.1838 2.0000 0.1838

106 1.700 0.1729 1.0000 0.1729 1.5000 0.1729 2.0000 0.1729

107 1.800 0.1633 1.0000 0.1633 1.5000 0.1633 2.0000 0.1633

108 1.900 0.1547 1.0000 0.1547 1.5000 0.1547 2.0000 0.1547

109 2.000 0.1470 1.0000 0.1470 1.5000 0.1470 2.0000 0.1470

110 2.100 0.1400 1.0000 0.1400 1.5000 0.1400 2.0000 0.1400

111 2.200 0.1336 1.0000 0.1336 1.5000 0.1336 2.0000 0.1336

112 2.300 0.1278 1.0000 0.1278 1.5000 0.1278 2.0000 0.1278

113 2.400 0.1225 1.0000 0.1225 1.5000 0.1225 2.0000 0.1225

114 2.500 0.1176 1.0000 0.1176 1.5000 0.1176 2.0000 0.1176

115 2.600 0.1131 1.0000 0.1131 1.5000 0.1131 2.0000 0.1131

116 2.700 0.1089 1.0000 0.1089 1.5000 0.1089 2.0000 0.1089

117 2.800 0.1050 1.0000 0.1050 1.5000 0.1050 2.0000 0.1050

118 2.900 0.1014 1.0000 0.1014 1.5000 0.1014 2.0000 0.1014

119 3.000 0.0980 1.0000 0.0980 1.5000 0.0980 2.0000 0.0980

120 3.100 0.0948 1.0000 0.0948 1.5000 0.0948 2.0000 0.0948

121 3.200 0.0919 1.0000 0.0919 1.5000 0.0919 2.0000 0.0919

122 3.300 0.0891 1.0000 0.0891 1.5000 0.0891 2.0000 0.0891

123 3.400 0.0865 1.0000 0.0865 1.5000 0.0865 2.0000 0.0865

124 3.500 0.0840 1.0000 0.0840 1.5000 0.0840 2.0000 0.0840

125 3.600 0.0817 1.0000 0.0817 1.5000 0.0817 2.0000 0.0817

Page 14: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

126 3.700 0.0795 1.0000 0.0795 1.5000 0.0795 2.0000 0.0795

127 3.800 0.0774 1.0000 0.0774 1.5000 0.0774 2.0000 0.0774

128 3.900 0.0754 1.0000 0.0754 1.5000 0.0754 2.0000 0.0754

129 4.000 0.0735 1.0000 0.0735 1.5000 0.0735 2.0000 0.0735

130 4.100 0.0717 1.0000 0.0717 1.5000 0.0717 2.0000 0.0717

131 4.120 0.0714 1.0000 0.0714 1.5000 0.0714 2.0000 0.0714

132 4.150 0.0686 1.0000 0.0686 1.5000 0.0686 2.0000 0.0686

133 4.200 0.0670 1.0000 0.0670 1.5000 0.0670 2.0000 0.0670

134 4.300 0.0639 1.0000 0.0639 1.5000 0.0639 2.0000 0.0639

135 4.400 0.0611 1.0000 0.0611 1.5000 0.0611 2.0000 0.0611

136 4.500 0.0584 1.0000 0.0584 1.5000 0.0584 2.0000 0.0584

137 4.600 0.0559 1.0000 0.0559 1.5000 0.0559 2.0000 0.0559

138 4.700 0.0535 1.0000 0.0535 1.5000 0.0535 2.0000 0.0535

139 4.800 0.0513 1.0000 0.0513 1.5000 0.0513 2.0000 0.0513

140 4.900 0.0492 1.0000 0.0492 1.5000 0.0492 2.0000 0.0492

141 5.000 0.0473 1.0000 0.0473 1.5000 0.0473 2.0000 0.0473

142 5.500 0.0391 1.0000 0.0391 1.5000 0.0391 2.0000 0.0391

143 6.000 0.0328 1.0000 0.0328 1.5000 0.0328 2.0000 0.0328

144 10.000 0.0296 1.0000 0.0296 1.5000 0.0296 2.0000 0.0296

145 11.000 0.0245 1.0000 0.0245 1.5000 0.0245 2.0000 0.0245

146 20.000 0.0074 1.0000 0.0074 1.5000 0.0074 2.0000 0.0074

147 25.000 0.0047 1.0000 0.0047 1.5000 0.0047 2.0000 0.0047

Page 15: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

Inelastic Design Spectra (IDS)_Prof. A.K. Chopra

A. Variasi perioda dan redaman viskos sistem linear ekivalen dengan duktilitas

4 4.5 5 5.5 6 6.5 7 7.5 82.00 2.12 2.24 2.35 2.45 2.55 2.65 2.74 2.83

1.87 1.96 2.04 2.12 2.19 2.26 2.32 2.38 2.43

1.75 1.83 1.89 1.95 2.00 2.05 2.09 2.13 2.17

1.58 1.63 1.67 1.70 1.73 1.76 1.78 1.81 1.83

Faktor Duktilitas Struktur, m

0 1 2 3 4 5 6 7 8 9 100.00

0.50

1.00

1.50

2.00

2.50

3.00

3.50

Variasi Perioda terhadap Faktor Duktilitas

= a0.00 = a

0.05 = a

0.10

Faktor Duktilitas, m

Te

q :

Tn

Page 16: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

4 4.5 5 5.5 6 6.5 7 7.5 80.48 0.50 0.51 0.52 0.53 0.54 0.55 0.55 0.56

0.38 0.38 0.39 0.39 0.39 0.39 0.38 0.38 0.38

0.32 0.32 0.32 0.31 0.31 0.30 0.30 0.29 0.29

0.22 0.22 0.21 0.21 0.20 0.20 0.19 0.18 0.18

Hubungan redaman viskos ekivalen pada sistem linear ekivalen dengan duktilitas

Faktor Duktilitas Struktur, m

0 1 2 3 4 5 6 7 8 9 100.00

0.50

1.00

1.50

2.00

2.50

3.00

3.50

Variasi Perioda terhadap Faktor Duktilitas

= a0.00 = a

0.05 = a

0.10

Faktor Duktilitas, m

Te

q :

Tn

0.00

0.10

0.20

0.30

0.40

0.50

0.60

0.70

Variasi Redaman Viskos Ekivalen terhadap Faktor Duktilitas

= a0.00 = a

0.05 = a

0.10

Faktor Duktilitas, m

Re

da

ma

n v

isko

s e

kiv

ale

n, xe

q

Page 17: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

Nilai-nilai maksimum spektra tripartie Newmark-Hall

V D

122 cm/s 91.4 cm

122 cm/s 91.4 cm

48 in/s 36 in

PP

NoPBA 0.4g

1 0.010 0.40002 0.020 0.40003 0.030 0.4000

4 0.033 0.40005 0.0334 0.42756 0.0335 0.42847 0.0336 0.42938 0.0337 0.43029 0.0338 0.4311

10 0.125 0.441611 0.130 0.441612 0.140 0.441613 0.150 0.441614 0.160 0.441615 0.170 0.441616 0.180 0.441617 0.190 0.441618 0.200 0.441619 0.210 0.441620 0.220 0.441621 0.230 0.441622 0.240 0.441623 0.250 0.441624 0.260 0.441625 0.270 0.4416

Redaman x = 5%

Elastic Pseudo-Accelleration Design Spectrum (Newmark-Hall Procedure)

Period (s) (m=1)

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 5.5 6.00.0

0.2

0.4

0.6

0.8

1.0

1.2

Pseudo Respons Percepatan Elastik Newmark-Hall (x=5%) Profil Tanah Keras (Tipe B), PBA = 1.0g, m=1

Perioda Tn (detik)

Pseudo-A

ccellera

tion S

pectr

a (

g)

Page 18: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

26 0.280 0.441627 0.290 0.441628 0.300 0.441629 0.310 0.441630 0.320 0.441631 0.330 0.441632 0.340 0.441633 0.350 0.441634 0.360 0.441635 0.370 0.441636 0.380 0.441637 0.390 0.441638 0.400 0.441639 0.410 0.441640 0.420 0.441641 0.430 0.441642 0.440 0.441643 0.450 0.441644 0.460 0.441645 0.470 0.441646 0.480 0.441647 0.490 0.441648 0.500 0.441649 0.510 0.441650 0.520 0.441651 0.530 0.441652 0.540 0.441653 0.550 0.441654 0.560 0.441655 0.570 0.441656 0.580 0.441657 0.590 0.441658 0.600 0.441659 0.610 0.441660 0.620 0.441661 0.630 0.441662 0.640 0.441663 0.650 0.441664 0.660 0.4416

65 0.667 0.441666 0.670 0.438867 0.680 0.432468 0.690 0.426169 0.700 0.420070 0.710 0.414171 0.720 0.408372 0.730 0.402773 0.740 0.3973

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 5.5 6.00.0

0.2

0.4

0.6

0.8

1.0

1.2

Pseudo Respons Percepatan Elastik Newmark-Hall (x=5%) Profil Tanah Keras (Tipe B), PBA = 1.0g, m=1

Perioda Tn (detik)

Pseudo-A

ccellera

tion S

pectr

a (

g)

Page 19: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

74 0.750 0.392075 0.760 0.386876 0.770 0.381877 0.780 0.376978 0.790 0.372279 0.800 0.367580 0.810 0.363081 0.820 0.358582 0.830 0.354283 0.840 0.350084 0.850 0.345985 0.860 0.341986 0.870 0.337987 0.880 0.334188 0.890 0.330389 0.900 0.326790 0.910 0.323191 0.920 0.319692 0.930 0.316193 0.940 0.312894 0.950 0.309595 0.960 0.3063

96 0.970 0.303197 0.980 0.300098 0.990 0.297099 1.000 0.2940

100 1.100 0.2673101 1.200 0.2450102 1.300 0.2262103 1.400 0.2100104 1.500 0.1960105 1.600 0.1838106 1.700 0.1729107 1.800 0.1633108 1.900 0.1547109 2.000 0.1470110 2.100 0.1400111 2.200 0.1336112 2.300 0.1278113 2.400 0.1225114 2.500 0.1176115 2.600 0.1131116 2.700 0.1089117 2.800 0.1050118 2.900 0.1014119 3.000 0.0980120 3.100 0.0948121 3.200 0.0919

PGA = 1.0g (ARS)

Page 20: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

122 3.300 0.0891123 3.400 0.0865124 3.500 0.0840125 3.600 0.0817126 3.700 0.0795127 3.800 0.0774128 3.900 0.0754129 4.000 0.0735130 4.100 0.0717

131 4.120 0.0714132 4.150 0.0686133 4.200 0.0670134 4.300 0.0639135 4.400 0.0611136 4.500 0.0584137 4.600 0.0559138 4.700 0.0535139 4.800 0.0513140 4.900 0.0492141 5.000 0.0473142 5.500 0.0391143 6.000 0.0328

144 10.000 0.0296145 11.000 0.0245146 20.000 0.0074147 25.000 0.0047

Displasemen 1.0g Displasemen 0.4gNo

PBA 0.4g

1 0.010 0.00102 0.020 0.00403 0.030 0.0089

4 0.033 0.01085 0.0334 0.01196 0.0335 0.01197 0.0336 0.0120

PGA = 1.0g (ARS)

Period (s) (m=1)

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 5.5 6.00.0

25.0

50.0

75.0

100.0

125.0

150.0

175.0

200.0

Elastic Deformation Design Spectrum, x = 5%

Perioda Tn (detik)

Um

, cm

)

Page 21: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

8 0.0337 0.01219 0.0338 0.0122

10 0.125 0.171411 0.130 0.185412 0.140 0.215113 0.150 0.246914 0.160 0.280915 0.170 0.317116 0.180 0.355517 0.190 0.396118 0.200 0.438919 0.210 0.483920 0.220 0.531121 0.230 0.580422 0.240 0.632023 0.250 0.685824 0.260 0.741725 0.270 0.799926 0.280 0.860227 0.290 0.922828 0.300 0.987529 0.310 1.054430 0.320 1.123631 0.330 1.194932 0.340 1.268433 0.350 1.344134 0.360 1.422035 0.370 1.502136 0.380 1.584437 0.390 1.668938 0.400 1.755639 0.410 1.844440 0.420 1.935541 0.430 2.028842 0.440 2.124243 0.450 2.221944 0.460 2.321745 0.470 2.423846 0.480 2.528047 0.490 2.634448 0.500 2.743149 0.510 2.853950 0.520 2.966951 0.530 3.082152 0.540 3.199553 0.550 3.319154 0.560 3.440955 0.570 3.5649

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 5.5 6.00.0

25.0

50.0

75.0

100.0

125.0

150.0

175.0

200.0

Elastic Deformation Design Spectrum, x = 5%

Perioda Tn (detik)

Um

, cm

)

Page 22: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

56 0.580 3.691157 0.590 3.819458 0.600 3.950059 0.610 4.082860 0.620 4.217761 0.630 4.354962 0.640 4.494263 0.650 4.635864 0.660 4.7795

65 0.667 4.881466 0.670 4.894867 0.680 4.967868 0.690 5.040969 0.700 5.113970 0.710 5.187071 0.720 5.260072 0.730 5.333173 0.740 5.406274 0.750 5.479275 0.760 5.552376 0.770 5.625377 0.780 5.698478 0.790 5.771479 0.800 5.844580 0.810 5.917581 0.820 5.990682 0.830 6.063783 0.840 6.136784 0.850 6.209885 0.860 6.282886 0.870 6.355987 0.880 6.428988 0.890 6.502089 0.900 6.575190 0.910 6.648191 0.920 6.721292 0.930 6.794293 0.940 6.867394 0.950 6.940395 0.960 7.013496 0.970 7.086497 0.980 7.159598 0.990 7.232699 1.000 7.3056

100 1.100 8.0362101 1.200 8.7667102 1.300 9.4973103 1.400 10.2279104 1.500 10.9584

Page 23: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

105 1.600 11.6890106 1.700 12.4195107 1.800 13.1501108 1.900 13.8807109 2.000 14.6112110 2.100 15.3418111 2.200 16.0723112 2.300 16.8029113 2.400 17.5335114 2.500 18.2640115 2.600 18.9946116 2.700 19.7252117 2.800 20.4557118 2.900 21.1863119 3.000 21.9168120 3.100 22.6474121 3.200 23.3780122 3.300 24.1085123 3.400 24.8391124 3.500 25.5696125 3.600 26.3002126 3.700 27.0308127 3.800 27.7613128 3.900 28.4919129 4.000 29.2224130 4.100 29.9530

131 4.120 30.0991132 4.150 29.3715133 4.200 29.3715134 4.300 29.3715135 4.400 29.3715136 4.500 29.3715137 4.600 29.3715138 4.700 29.3715139 4.800 29.3715140 4.900 29.3715141 5.000 29.3715142 5.500 29.3715143 6.000 29.3715

144 10.000 73.5531145 11.000 73.5531146 20.000 73.5531147 25.000 73.5531

Page 24: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

Parameter Integrasi Dt Spektra Newmark-Hall:

R PBA 0.4g R PBA 0.4g R NoPeriod (s) 1

6.0 8.01.0000 0.4000 1.0000 0.4000 1.0000 1 0.010 0.4000

1.0000 0.4000 1.0000 0.4000 1.0000 2 0.020 0.4000

m = 1.0

Page 25: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

1.0000 0.4000 1.0000 0.4000 1.0000 3 0.030 0.4000

1.0000 0.4000 1.0000 0.4000 1.0000 Ta 4 0.033 0.4000

1.2754 0.4275 1.3495 0.4275 1.4029 5 0.0334 0.4275

1.2754 0.4284 1.3495 0.4284 1.4029 6 0.0335 0.4284

1.2754 0.4293 1.3495 0.4293 1.4029 7 0.0336 0.4293

1.2754 0.4302 1.3495 0.4302 1.4029 8 0.0337 0.4302

1.2754 0.4311 1.3495 0.4311 1.4029 9 0.0338 0.4311

2.6458 0.4416 3.3166 0.4416 3.8730 Tb 10 0.125 0.4416

2.6458 0.4416 3.3166 0.4416 3.8730 11 0.130 0.4416

2.6458 0.4416 3.3166 0.4416 3.8730 12 0.140 0.4416

2.6458 0.4416 3.3166 0.4416 3.8730 13 0.150 0.4416

2.6458 0.4416 3.3166 0.4416 3.8730 14 0.160 0.4416

2.6458 0.4416 3.3166 0.4416 3.8730 15 0.170 0.4416

2.6458 0.4416 3.3166 0.4416 3.8730 16 0.180 0.4416

2.6458 0.4416 3.3166 0.4416 3.8730 17 0.190 0.4416

2.6458 0.4416 3.3166 0.4416 3.8730 18 0.200 0.4416

2.6458 0.4416 3.3166 0.4416 3.8730 19 0.210 0.4416

2.6458 0.4416 3.3166 0.4416 3.8730 20 0.220 0.4416

2.6458 0.4416 3.3166 0.4416 3.8730 21 0.230 0.4416

2.6458 0.4416 3.3166 0.4416 3.8730 22 0.240 0.4416

2.6458 0.4416 3.3166 0.4416 3.8730 23 0.250 0.4416

2.6458 0.4416 3.3166 0.4416 3.8730 24 0.260 0.4416

2.6458 0.4416 3.3166 0.4416 3.8730 25 0.270 0.4416

2.6458 0.4416 3.3166 0.4416 3.8730 26 0.280 0.4416

2.6458 0.4416 3.3166 0.4416 3.8730 27 0.290 0.4416

2.6458 0.4416 3.3166 0.4416 3.8730 28 0.300 0.4416

2.6458 0.4416 3.3166 0.4416 3.8730 29 0.310 0.4416

2.6458 0.4416 3.3166 0.4416 3.8730 30 0.320 0.4416

2.6458 0.4416 3.3166 0.4416 3.9580 31 0.330 0.4416

2.6458 0.4416 3.3166 0.4416 4.0780 32 0.340 0.4416

2.6458 0.4416 3.3166 0.4416 4.1979 33 0.350 0.4416

2.6458 0.4416 3.3166 0.4416 4.3178 34 0.360 0.4416

2.6458 0.4416 3.3283 0.4416 4.4378 35 0.370 0.4416

2.6458 0.4416 3.4183 0.4416 4.5577 36 0.380 0.4416

2.6458 0.4416 3.5082 0.4416 4.6777 37 0.390 0.4416

2.6458 0.4416 3.5982 0.4416 4.7976 38 0.400 0.4416

2.6458 0.4416 3.6882 0.4416 4.9175 39 0.410 0.4416

2.6458 0.4416 3.7781 0.4416 5.0375 40 0.420 0.4416

2.6458 0.4416 3.8681 0.4416 5.1574 41 0.430 0.4416

2.6458 0.4416 3.9580 0.4416 5.2774 42 0.440 0.4416

2.6987 0.4416 4.0480 0.4416 5.3973 43 0.450 0.4416

Page 26: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

2.7586 0.4416 4.1379 0.4416 5.5172 44 0.460 0.4416

2.8186 0.4416 4.2279 0.4416 5.6372 45 0.470 0.4416

2.8786 0.4416 4.3178 0.4416 5.7571 46 0.480 0.4416

2.9385 0.4416 4.4078 0.4416 5.8771 47 0.490 0.4416

2.9985 0.4416 4.4978 0.4416 5.9970 48 0.500 0.4416

3.0585 0.4416 4.5877 0.4416 6.1169 49 0.510 0.4416

3.1184 0.4416 4.6777 0.4416 6.2369 50 0.520 0.4416

3.1784 0.4416 4.7676 0.4416 6.3568 51 0.530 0.4416

3.2384 0.4416 4.8576 0.4416 6.4768 52 0.540 0.4416

3.2984 0.4416 4.9475 0.4416 6.5967 53 0.550 0.4416

3.3583 0.4416 5.0375 0.4416 6.7166 54 0.560 0.4416

3.4183 0.4416 5.1274 0.4416 6.8366 55 0.570 0.4416

3.4783 0.4416 5.2174 0.4416 6.9565 56 0.580 0.4416

3.5382 0.4416 5.3073 0.4416 7.0765 57 0.590 0.4416

3.5982 0.4416 5.3973 0.4416 7.1964 Tc' 58 0.600 0.4416

3.6582 0.4416 5.4873 0.4416 7.3163 59 0.610 0.4416

3.7181 0.4416 5.5772 0.4416 7.4363 60 0.620 0.4416

3.7781 0.4416 5.6672 0.4416 7.5562 61 0.630 0.4416

3.8381 0.4416 5.7571 0.4416 7.6762 62 0.640 0.4416

3.8981 0.4416 5.8471 0.4416 7.7961 63 0.650 0.4416

3.9580 0.4416 5.9370 0.4416 7.9160 64 0.660 0.4416

4.0000 0.4416 6.0000 0.4416 8.0000 Tc 65 0.667 0.4416

4.0000 0.4388 6.0000 0.4388 8.0000 66 0.670 0.4388

4.0000 0.4324 6.0000 0.4324 8.0000 67 0.680 0.4324

4.0000 0.4261 6.0000 0.4261 8.0000 68 0.690 0.4261

4.0000 0.4200 6.0000 0.4200 8.0000 69 0.700 0.4200

4.0000 0.4141 6.0000 0.4141 8.0000 70 0.710 0.4141

4.0000 0.4083 6.0000 0.4083 8.0000 71 0.720 0.4083

4.0000 0.4027 6.0000 0.4027 8.0000 72 0.730 0.4027

4.0000 0.3973 6.0000 0.3973 8.0000 73 0.740 0.3973

4.0000 0.3920 6.0000 0.3920 8.0000 74 0.750 0.3920

4.0000 0.3868 6.0000 0.3868 8.0000 75 0.760 0.3868

4.0000 0.3818 6.0000 0.3818 8.0000 76 0.770 0.3818

4.0000 0.3769 6.0000 0.3769 8.0000 77 0.780 0.3769

4.0000 0.3722 6.0000 0.3722 8.0000 78 0.790 0.3722

4.0000 0.3675 6.0000 0.3675 8.0000 79 0.800 0.3675

4.0000 0.3630 6.0000 0.3630 8.0000 80 0.810 0.3630

4.0000 0.3585 6.0000 0.3585 8.0000 81 0.820 0.3585

4.0000 0.3542 6.0000 0.3542 8.0000 82 0.830 0.3542

4.0000 0.3500 6.0000 0.3500 8.0000 83 0.840 0.3500

4.0000 0.3459 6.0000 0.3459 8.0000 84 0.850 0.3459

Page 27: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

4.0000 0.3419 6.0000 0.3419 8.0000 85 0.860 0.3419

4.0000 0.3379 6.0000 0.3379 8.0000 86 0.870 0.3379

4.0000 0.3341 6.0000 0.3341 8.0000 87 0.880 0.3341

4.0000 0.3303 6.0000 0.3303 8.0000 88 0.890 0.3303

4.0000 0.3267 6.0000 0.3267 8.0000 89 0.900 0.3267

4.0000 0.3231 6.0000 0.3231 8.0000 90 0.910 0.3231

4.0000 0.3196 6.0000 0.3196 8.0000 91 0.920 0.3196

4.0000 0.3161 6.0000 0.3161 8.0000 92 0.930 0.3161

4.0000 0.3128 6.0000 0.3128 8.0000 93 0.940 0.3128

4.0000 0.3095 6.0000 0.3095 8.0000 94 0.950 0.3095

4.0000 0.3063 6.0000 0.3063 8.0000 95 0.960 0.3063

4.0000 0.3031 6.0000 0.3031 8.0000 96 0.970 0.3031

4.0000 0.3000 6.0000 0.3000 8.0000 97 0.980 0.3000

4.0000 0.2970 6.0000 0.2970 8.0000 98 0.990 0.2970

4.0000 0.2940 6.0000 0.2940 8.0000 99 1.000 0.2940

4.0000 0.2673 6.0000 0.2673 8.0000 100 1.100 0.2673

4.0000 0.2450 6.0000 0.2450 8.0000 101 1.200 0.2450

4.0000 0.2262 6.0000 0.2262 8.0000 102 1.300 0.2262

4.0000 0.2100 6.0000 0.2100 8.0000 103 1.400 0.2100

4.0000 0.1960 6.0000 0.1960 8.0000 104 1.500 0.1960

4.0000 0.1838 6.0000 0.1838 8.0000 105 1.600 0.1838

4.0000 0.1729 6.0000 0.1729 8.0000 106 1.700 0.1729

4.0000 0.1633 6.0000 0.1633 8.0000 107 1.800 0.1633

4.0000 0.1547 6.0000 0.1547 8.0000 108 1.900 0.1547

4.0000 0.1470 6.0000 0.1470 8.0000 109 2.000 0.1470

4.0000 0.1400 6.0000 0.1400 8.0000 110 2.100 0.1400

4.0000 0.1336 6.0000 0.1336 8.0000 111 2.200 0.1336

4.0000 0.1278 6.0000 0.1278 8.0000 112 2.300 0.1278

4.0000 0.1225 6.0000 0.1225 8.0000 113 2.400 0.1225

4.0000 0.1176 6.0000 0.1176 8.0000 114 2.500 0.1176

4.0000 0.1131 6.0000 0.1131 8.0000 115 2.600 0.1131

4.0000 0.1089 6.0000 0.1089 8.0000 116 2.700 0.1089

4.0000 0.1050 6.0000 0.1050 8.0000 117 2.800 0.1050

4.0000 0.1014 6.0000 0.1014 8.0000 118 2.900 0.1014

4.0000 0.0980 6.0000 0.0980 8.0000 119 3.000 0.0980

4.0000 0.0948 6.0000 0.0948 8.0000 120 3.100 0.0948

4.0000 0.0919 6.0000 0.0919 8.0000 121 3.200 0.0919

4.0000 0.0891 6.0000 0.0891 8.0000 122 3.300 0.0891

4.0000 0.0865 6.0000 0.0865 8.0000 123 3.400 0.0865

4.0000 0.0840 6.0000 0.0840 8.0000 124 3.500 0.0840

4.0000 0.0817 6.0000 0.0817 8.0000 125 3.600 0.0817

Page 28: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

4.0000 0.0795 6.0000 0.0795 8.0000 126 3.700 0.0795

4.0000 0.0774 6.0000 0.0774 8.0000 127 3.800 0.0774

4.0000 0.0754 6.0000 0.0754 8.0000 128 3.900 0.0754

4.0000 0.0735 6.0000 0.0735 8.0000 129 4.000 0.0735

4.0000 0.0717 6.0000 0.0717 8.0000 130 4.100 0.0717

4.0000 0.0714 6.0000 0.0714 8.0000 131 4.120 0.0714

4.0000 0.0686 6.0000 0.0686 8.0000 132 4.150 0.0686

4.0000 0.0670 6.0000 0.0670 8.0000 133 4.200 0.0670

4.0000 0.0639 6.0000 0.0639 8.0000 134 4.300 0.0639

4.0000 0.0611 6.0000 0.0611 8.0000 135 4.400 0.0611

4.0000 0.0584 6.0000 0.0584 8.0000 136 4.500 0.0584

4.0000 0.0559 6.0000 0.0559 8.0000 137 4.600 0.0559

4.0000 0.0535 6.0000 0.0535 8.0000 138 4.700 0.0535

4.0000 0.0513 6.0000 0.0513 8.0000 139 4.800 0.0513

4.0000 0.0492 6.0000 0.0492 8.0000 140 4.900 0.0492

4.0000 0.0473 6.0000 0.0473 8.0000 141 5.000 0.0473

4.0000 0.0391 6.0000 0.0391 8.0000 142 5.500 0.0391

4.0000 0.0328 6.0000 0.0328 8.0000 143 6.000 0.0328

4.0000 0.0296 6.0000 0.0296 8.0000 144 10.000 0.0296

4.0000 0.0245 6.0000 0.0245 8.0000 145 11.000 0.0245

4.0000 0.0074 6.0000 0.0074 8.0000 146 20.000 0.0074

4.0000 0.0047 6.0000 0.0047 8.0000 147 25.000 0.0047

NoPeriod (s) 1

1 0.010 0.0010

2 0.020 0.0040

3 0.030 0.0089

4 0.033 0.0108

5 0.0334 0.0119

6 0.0335 0.0119

7 0.0336 0.0120

8 0.0337 0.0121

9 0.0338 0.0122

10 0.125 0.1714

m = 1.0

Page 29: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

11 0.130 0.1854

12 0.140 0.2151

13 0.150 0.2469

14 0.160 0.2809

15 0.170 0.3171

16 0.180 0.3555

17 0.190 0.3961

18 0.200 0.4389

19 0.210 0.4839

20 0.220 0.5311

21 0.230 0.5804

22 0.240 0.6320

23 0.250 0.6858

24 0.260 0.7417

25 0.270 0.7999

26 0.280 0.8602

27 0.290 0.9228

28 0.300 0.9875

29 0.310 1.0544

30 0.320 1.1236

31 0.330 1.1949

32 0.340 1.2684

33 0.350 1.3441

34 0.360 1.4220

35 0.370 1.5021

36 0.380 1.5844

37 0.390 1.6689

38 0.400 1.755639 0.410 1.844440 0.420 1.935541 0.430 2.028842 0.440 2.124243 0.450 2.221944 0.460 2.321745 0.470 2.423846 0.480 2.528047 0.490 2.634448 0.500 2.743149 0.510 2.853950 0.520 2.966951 0.530 3.082152 0.540 3.199553 0.550 3.319154 0.560 3.4409

Page 30: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

55 0.570 3.564956 0.580 3.691157 0.590 3.819458 0.600 3.950059 0.610 4.082860 0.620 4.217761 0.630 4.354962 0.640 4.494263 0.650 4.635864 0.660 4.7795

65 0.667 4.881466 0.670 4.894867 0.680 4.967868 0.690 5.040969 0.700 5.113970 0.710 5.187071 0.720 5.260072 0.730 5.333173 0.740 5.406274 0.750 5.479275 0.760 5.552376 0.770 5.625377 0.780 5.698478 0.790 5.771479 0.800 5.844580 0.810 5.917581 0.820 5.990682 0.830 6.063783 0.840 6.136784 0.850 6.209885 0.860 6.282886 0.870 6.355987 0.880 6.428988 0.890 6.502089 0.900 6.575190 0.910 6.648191 0.920 6.721292 0.930 6.794293 0.940 6.867394 0.950 6.940395 0.960 7.013496 0.970 7.086497 0.980 7.159598 0.990 7.232699 1.000 7.3056

100 1.100 8.0362101 1.200 8.7667102 1.300 9.4973

Page 31: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

103 1.400 10.2279104 1.500 10.9584105 1.600 11.6890106 1.700 12.4195107 1.800 13.1501108 1.900 13.8807109 2.000 14.6112110 2.100 15.3418111 2.200 16.0723112 2.300 16.8029113 2.400 17.5335114 2.500 18.2640115 2.600 18.9946116 2.700 19.7252117 2.800 20.4557118 2.900 21.1863119 3.000 21.9168120 3.100 22.6474121 3.200 23.3780122 3.300 24.1085123 3.400 24.8391124 3.500 25.5696125 3.600 26.3002126 3.700 27.0308127 3.800 27.7613128 3.900 28.4919129 4.000 29.2224130 4.100 29.9530

131 4.120 30.0991132 4.150 29.3715133 4.200 29.3715134 4.300 29.3715135 4.400 29.3715136 4.500 29.3715137 4.600 29.3715138 4.700 29.3715139 4.800 29.3715140 4.900 29.3715141 5.000 29.3715142 5.500 29.3715143 6.000 29.3715

144 10.000 73.5531145 11.000 73.5531146 20.000 73.5531147 25.000 73.5531

Page 32: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

8.5 9 9.5 10 10.52.92 3.00 3.08 3.16 3.24

2.49 2.54 2.58 2.63 2.67

2.20 2.24 2.27 2.29 2.32

1.84 1.86 1.88 1.89 1.90

Page 33: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

8.5 9 9.5 10 10.50.56 0.57 0.57 0.57 0.58

0.37 0.37 0.37 0.36 0.36

0.28 0.28 0.27 0.26 0.26

0.17 0.17 0.16 0.16 0.15

Page 34: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

PBA 0.4g

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 5.5 6.00.0

0.1

0.2

0.3

0.4

0.5

Spektra Respons Percepatan (ARS) Desain, x = 5%, PBA = 0.40g

Perioda Tn (detik)

Pseudo-A

ccellera

tion S

pectr

a (

g)

Page 35: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

7.071068

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 5.5 6.00.0

0.1

0.2

0.3

0.4

0.5

Spektra Respons Percepatan (ARS) Desain, x = 5%, PBA = 0.40g

Perioda Tn (detik)

Pseudo-A

ccellera

tion S

pectr

a (

g)

Page 36: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

PGA = 0.4g (ARS)

Page 37: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

Displasemen 0.4gPBA 0.4g

PGA = 0.4g (ARS)

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 5.5 6.00.0

20.0

40.0

60.0

80.0

Spektra Respons Displasemen (DRS) Desain,x = 5%, PBA = 0.40g

Perioda Tn (detik)

Dis

pla

sem

en, cm

Page 38: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 5.5 6.00.0

20.0

40.0

60.0

80.0

Spektra Respons Displasemen (DRS) Desain,x = 5%, PBA = 0.40g

Perioda Tn (detik)

Dis

pla

sem

en, cm

Page 39: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

Inelastik Spektra, PGA=0.4g1.5 2 4 6 8

0.4000 0.4000 0.4000 0.4000 0.4000

0.4000 0.4000 0.4000 0.4000 0.4000

m = 1.5 m = 2.0 m = 4.0 m = 6.0 m = 8.0

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 5.5 6.00.0

0.2

0.4

0.6

0.8

1.0

1.2

Spektra Respons Percepatan (ARS) Inelastik,x = 5%, PBA = 0.40g

= m1.0 = m

1.5 = m

2.0 = m

4.0 = m

6.0

Perioda Tn (detik)

Pse

ud

o A

cce

lle

rati

on

Sp

ectr

a (

g)

Page 40: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

0.4000 0.4000 0.4000 0.4000 0.4000

0.4000 0.4000 0.4000 0.4000 0.4000

0.3920 0.3727 0.3352 0.3168 0.3048

0.3929 0.3735 0.3359 0.3175 0.3054

0.3937 0.3742 0.3366 0.3181 0.3060

0.3945 0.3750 0.3373 0.3188 0.3067

0.3953 0.3758 0.3380 0.3195 0.3073

0.3122 0.2549 0.1669 0.1331 0.1140

0.3122 0.2549 0.1669 0.1331 0.1140

0.3122 0.2549 0.1669 0.1331 0.1140

0.3122 0.2549 0.1669 0.1331 0.1140

0.3122 0.2549 0.1669 0.1331 0.1140

0.3122 0.2549 0.1669 0.1331 0.1140

0.3122 0.2549 0.1669 0.1331 0.1140

0.3122 0.2549 0.1669 0.1331 0.1140

0.3122 0.2549 0.1669 0.1331 0.1140

0.3122 0.2549 0.1669 0.1331 0.1140

0.3122 0.2549 0.1669 0.1331 0.1140

0.3122 0.2549 0.1669 0.1331 0.1140

0.3122 0.2549 0.1669 0.1331 0.1140

0.3122 0.2549 0.1669 0.1331 0.1140

0.3122 0.2549 0.1669 0.1331 0.1140

0.3122 0.2549 0.1669 0.1331 0.1140

0.3122 0.2549 0.1669 0.1331 0.1140

0.3122 0.2549 0.1669 0.1331 0.1140

0.3122 0.2549 0.1669 0.1331 0.1140

0.3122 0.2549 0.1669 0.1331 0.1140

0.3122 0.2549 0.1669 0.1331 0.1140

0.3122 0.2549 0.1669 0.1331 0.1116

0.3122 0.2549 0.1669 0.1331 0.1083

0.3122 0.2549 0.1669 0.1331 0.1052

0.3122 0.2549 0.1669 0.1331 0.1023

0.3122 0.2549 0.1669 0.1327 0.0995

0.3122 0.2549 0.1669 0.1292 0.0969

0.3122 0.2549 0.1669 0.1259 0.0944

0.3122 0.2549 0.1669 0.1227 0.0920

0.3122 0.2549 0.1669 0.1197 0.0898

0.3122 0.2549 0.1669 0.1169 0.0877

0.3122 0.2549 0.1669 0.1142 0.0856

0.3122 0.2549 0.1669 0.1116 0.0837

0.3122 0.2549 0.1636 0.1091 0.0818

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 5.5 6.00.0

0.2

0.4

0.6

0.8

1.0

1.2

Spektra Respons Percepatan (ARS) Inelastik,x = 5%, PBA = 0.40g

= m1.0 = m

1.5 = m

2.0 = m

4.0 = m

6.0

Perioda Tn (detik)

Pse

ud

o A

cce

lle

rati

on

Sp

ectr

a (

g)

Page 41: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

0.3122 0.2549 0.1601 0.1067 0.0800

0.3122 0.2549 0.1567 0.1044 0.0783

0.3122 0.2549 0.1534 0.1023 0.0767

0.3122 0.2549 0.1503 0.1002 0.0751

0.3122 0.2549 0.1473 0.0982 0.0736

0.3122 0.2549 0.1444 0.0962 0.0722

0.3122 0.2549 0.1416 0.0944 0.0708

0.3122 0.2549 0.1389 0.0926 0.0695

0.3122 0.2549 0.1364 0.0909 0.0682

0.3122 0.2549 0.1339 0.0892 0.0669

0.3122 0.2549 0.1315 0.0877 0.0657

0.3122 0.2549 0.1292 0.0861 0.0646

0.3122 0.2549 0.1269 0.0846 0.0635

0.3122 0.2496 0.1248 0.0832 0.0624

0.3122 0.2454 0.1227 0.0818 0.0614

0.3122 0.2414 0.1207 0.0805 0.0604

0.3122 0.2375 0.1188 0.0792 0.0594

0.3117 0.2337 0.1169 0.0779 0.0584

0.3068 0.2301 0.1150 0.0767 0.0575

0.3021 0.2266 0.1133 0.0755 0.0566

0.2975 0.2231 0.1116 0.0744 0.0558

0.2944 0.2208 0.1104 0.0736 0.0552

0.2925 0.2194 0.1097 0.0731 0.0549

0.2882 0.2162 0.1081 0.0721 0.0540

0.2841 0.2130 0.1065 0.0710 0.0533

0.2800 0.2100 0.1050 0.0700 0.0525

0.2761 0.2070 0.1035 0.0690 0.0518

0.2722 0.2042 0.1021 0.0681 0.0510

0.2685 0.2014 0.1007 0.0671 0.0503

0.2649 0.1986 0.0993 0.0662 0.0497

0.2613 0.1960 0.0980 0.0653 0.0490

0.2579 0.1934 0.0967 0.0645 0.0484

0.2545 0.1909 0.0955 0.0636 0.0477

0.2513 0.1885 0.0942 0.0628 0.0471

0.2481 0.1861 0.0930 0.0620 0.0465

0.2450 0.1838 0.0919 0.0613 0.0459

0.2420 0.1815 0.0907 0.0605 0.0454

0.2390 0.1793 0.0896 0.0598 0.0448

0.2361 0.1771 0.0886 0.0590 0.0443

0.2333 0.1750 0.0875 0.0583 0.0438

0.2306 0.1729 0.0865 0.0576 0.0432

Page 42: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

0.2279 0.1709 0.0855 0.0570 0.0427

0.2253 0.1690 0.0845 0.0563 0.0422

0.2227 0.1670 0.0835 0.0557 0.0418

0.2202 0.1652 0.0826 0.0551 0.0413

0.2178 0.1633 0.0817 0.0544 0.0408

0.2154 0.1615 0.0808 0.0538 0.0404

0.2130 0.1598 0.0799 0.0533 0.0399

0.2108 0.1581 0.0790 0.0527 0.0395

0.2085 0.1564 0.0782 0.0521 0.0391

0.2063 0.1547 0.0774 0.0516 0.0387

0.2042 0.1531 0.0766 0.0510 0.0383

0.2021 0.1515 0.0758 0.0505 0.0379

0.2000 0.1500 0.0750 0.0500 0.0375

0.1980 0.1485 0.0742 0.0495 0.0371

0.1960 0.1470 0.0735 0.0490 0.0368

0.1782 0.1336 0.0668 0.0445 0.0334

0.1633 0.1225 0.0613 0.0408 0.0306

0.1508 0.1131 0.0565 0.0377 0.0283

0.1400 0.1050 0.0525 0.0350 0.0263

0.1307 0.0980 0.0490 0.0327 0.0245

0.1225 0.0919 0.0459 0.0306 0.0230

0.1153 0.0865 0.0432 0.0288 0.0216

0.1089 0.0817 0.0408 0.0272 0.0204

0.1032 0.0774 0.0387 0.0258 0.0193

0.0980 0.0735 0.0368 0.0245 0.0184

0.0933 0.0700 0.0350 0.0233 0.0175

0.0891 0.0668 0.0334 0.0223 0.0167

0.0852 0.0639 0.0320 0.0213 0.0160

0.0817 0.0613 0.0306 0.0204 0.0153

0.0784 0.0588 0.0294 0.0196 0.0147

0.0754 0.0565 0.0283 0.0188 0.0141

0.0726 0.0544 0.0272 0.0181 0.0136

0.0700 0.0525 0.0263 0.0175 0.0131

0.0676 0.0507 0.0253 0.0169 0.0127

0.0653 0.0490 0.0245 0.0163 0.0123

0.0632 0.0474 0.0237 0.0158 0.0119

0.0613 0.0459 0.0230 0.0153 0.0115

0.0594 0.0445 0.0223 0.0148 0.0111

0.0576 0.0432 0.0216 0.0144 0.0108

0.0560 0.0420 0.0210 0.0140 0.0105

0.0544 0.0408 0.0204 0.0136 0.0102

Page 43: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

0.0530 0.0397 0.0199 0.0132 0.0099

0.0516 0.0387 0.0193 0.0129 0.0097

0.0503 0.0377 0.0188 0.0126 0.0094

0.0490 0.0368 0.0184 0.0122 0.0092

0.0478 0.0359 0.0179 0.0120 0.0090

0.0476 0.0357 0.0178 0.0119 0.0089

0.0458 0.0343 0.0172 0.0114 0.0086

0.0447 0.0335 0.0168 0.0112 0.0084

0.0426 0.0320 0.0160 0.0107 0.0080

0.0407 0.0305 0.0153 0.0102 0.0076

0.0389 0.0292 0.0146 0.0097 0.0073

0.0372 0.0279 0.0140 0.0093 0.0070

0.0357 0.0268 0.0134 0.0089 0.0067

0.0342 0.0257 0.0128 0.0086 0.0064

0.0328 0.0246 0.0123 0.0082 0.0062

0.0315 0.0236 0.0118 0.0079 0.0059

0.0260 0.0195 0.0098 0.0065 0.0049

0.0219 0.0164 0.0082 0.0055 0.0041

0.0197 0.0148 0.0074 0.0049 0.0037

0.0163 0.0122 0.0061 0.0041 0.0031

0.0049 0.0037 0.0019 0.0012 0.0009

0.0032 0.0024 0.0012 0.0008 0.0006

1.5 2 4 6 8

0.0015 0.0020 0.0040 0.0060 0.0080

0.0060 0.0080 0.0159 0.0239 0.0318

0.0134 0.0179 0.0358 0.0537 0.0716

0.0162 0.0216 0.0433 0.0649 0.0866

0.0163 0.0207 0.0372 0.0527 0.0676

0.0164 0.0208 0.0375 0.0531 0.0681

0.0166 0.0210 0.0378 0.0535 0.0687

0.0167 0.0212 0.0381 0.0540 0.0692

0.0168 0.0213 0.0384 0.0544 0.0698

0.1818 0.1980 0.2592 0.3101 0.3541

m = 1.5 m = 2.0 m = 4.0 m = 6.0 m = 8.0

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 5.5 6.00.0

20.0

40.0

60.0

80.0

Spektra Respons Deformasi (DRS) Inelastik,x = 5%, PBA = 0.40g

= m1.0

= m1.5

= m2.0

= m4.0

= m6.0

Perioda Te (detik)

Dis

pla

sem

en

, cm

Page 44: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

0.1967 0.2141 0.2803 0.3355 0.3830

0.2281 0.2483 0.3251 0.3890 0.4442

0.2619 0.2851 0.3732 0.4466 0.5099

0.2979 0.3243 0.4247 0.5081 0.5802

0.3363 0.3662 0.4794 0.5737 0.6550

0.3771 0.4105 0.5375 0.6431 0.7343

0.4201 0.4574 0.5988 0.7166 0.8182

0.4655 0.5068 0.6635 0.7940 0.9066

0.5132 0.5587 0.7315 0.8754 0.9995

0.5633 0.6132 0.8029 0.9607 1.0969

0.6156 0.6702 0.8775 1.0500 1.1989

0.6703 0.7298 0.9555 1.1433 1.3055

0.7274 0.7919 1.0368 1.2406 1.4165

0.7867 0.8565 1.1214 1.3418 1.5321

0.8484 0.9236 1.2093 1.4470 1.6522

0.9124 0.9933 1.3005 1.5562 1.7769

0.9787 1.0655 1.3951 1.6693 1.9061

1.0474 1.1403 1.4930 1.7865 2.0398

1.1184 1.2176 1.5941 1.9075 2.1780

1.1917 1.2974 1.6987 2.0326 2.3208

1.2674 1.3797 1.8065 2.1616 2.4151

1.3453 1.4646 1.9176 2.2946 2.4883

1.4256 1.5520 2.0321 2.4316 2.5615

1.5083 1.6420 2.1499 2.5725 2.6346

1.5932 1.7345 2.2710 2.7078 2.7078

1.6805 1.8295 2.3954 2.7810 2.7810

1.7701 1.9270 2.5231 2.8542 2.8542

1.8620 2.0271 2.6541 2.9274 2.92741.9563 2.1298 2.7885 3.0006 3.00062.0529 2.2349 2.9262 3.0738 3.07382.1518 2.3426 3.0672 3.1469 3.14692.2531 2.4528 3.2115 3.2201 3.22012.3567 2.5656 3.2933 3.2933 3.29332.4626 2.6809 3.3665 3.3665 3.36652.5708 2.7987 3.4397 3.4397 3.43972.6813 2.9191 3.5129 3.5129 3.51292.7942 3.0420 3.5860 3.5860 3.58602.9094 3.1674 3.6592 3.6592 3.65923.0270 3.2954 3.7324 3.7324 3.73243.1469 3.4259 3.8056 3.8056 3.80563.2691 3.5589 3.8788 3.8788 3.87883.3936 3.6945 3.9520 3.9520 3.95203.5204 3.8326 4.0252 4.0252 4.02523.6496 3.9732 4.0983 4.0983 4.0983

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 5.5 6.00.0

20.0

40.0

60.0

80.0

Spektra Respons Deformasi (DRS) Inelastik,x = 5%, PBA = 0.40g

= m1.0

= m1.5

= m2.0

= m4.0

= m6.0

Perioda Te (detik)

Dis

pla

sem

en

, cm

Page 45: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

3.7811 4.1164 4.1715 4.1715 4.17153.9150 4.2621 4.2447 4.2447 4.24474.0511 4.3179 4.3179 4.3179 4.31794.1896 4.3911 4.3911 4.3911 4.39114.3304 4.4643 4.4643 4.4643 4.46434.4736 4.5375 4.5375 4.5375 4.53754.6106 4.6106 4.6106 4.6106 4.61064.6838 4.6838 4.6838 4.6838 4.68384.7570 4.7570 4.7570 4.7570 4.75704.8302 4.8302 4.8302 4.8302 4.8302

4.8814 4.8814 4.8814 4.8814 4.88144.8948 4.8948 4.8948 4.8948 4.89484.9678 4.9678 4.9678 4.9678 4.96785.0409 5.0409 5.0409 5.0409 5.04095.1139 5.1139 5.1139 5.1139 5.11395.1870 5.1870 5.1870 5.1870 5.18705.2600 5.2600 5.2600 5.2600 5.26005.3331 5.3331 5.3331 5.3331 5.33315.4062 5.4062 5.4062 5.4062 5.40625.4792 5.4792 5.4792 5.4792 5.47925.5523 5.5523 5.5523 5.5523 5.55235.6253 5.6253 5.6253 5.6253 5.62535.6984 5.6984 5.6984 5.6984 5.69845.7714 5.7714 5.7714 5.7714 5.77145.8445 5.8445 5.8445 5.8445 5.84455.9175 5.9175 5.9175 5.9175 5.91755.9906 5.9906 5.9906 5.9906 5.99066.0637 6.0637 6.0637 6.0637 6.06376.1367 6.1367 6.1367 6.1367 6.13676.2098 6.2098 6.2098 6.2098 6.20986.2828 6.2828 6.2828 6.2828 6.28286.3559 6.3559 6.3559 6.3559 6.35596.4289 6.4289 6.4289 6.4289 6.42896.5020 6.5020 6.5020 6.5020 6.50206.5751 6.5751 6.5751 6.5751 6.57516.6481 6.6481 6.6481 6.6481 6.64816.7212 6.7212 6.7212 6.7212 6.72126.7942 6.7942 6.7942 6.7942 6.79426.8673 6.8673 6.8673 6.8673 6.86736.9403 6.9403 6.9403 6.9403 6.94037.0134 7.0134 7.0134 7.0134 7.01347.0864 7.0864 7.0864 7.0864 7.08647.1595 7.1595 7.1595 7.1595 7.15957.2326 7.2326 7.2326 7.2326 7.23267.3056 7.3056 7.3056 7.3056 7.30568.0362 8.0362 8.0362 8.0362 8.03628.7667 8.7667 8.7667 8.7667 8.76679.4973 9.4973 9.4973 9.4973 9.4973

Page 46: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

10.2279 10.2279 10.2279 10.2279 10.227910.9584 10.9584 10.9584 10.9584 10.958411.6890 11.6890 11.6890 11.6890 11.689012.4195 12.4195 12.4195 12.4195 12.419513.1501 13.1501 13.1501 13.1501 13.150113.8807 13.8807 13.8807 13.8807 13.880714.6112 14.6112 14.6112 14.6112 14.611215.3418 15.3418 15.3418 15.3418 15.341816.0723 16.0723 16.0723 16.0723 16.072316.8029 16.8029 16.8029 16.8029 16.802917.5335 17.5335 17.5335 17.5335 17.533518.2640 18.2640 18.2640 18.2640 18.264018.9946 18.9946 18.9946 18.9946 18.994619.7252 19.7252 19.7252 19.7252 19.725220.4557 20.4557 20.4557 20.4557 20.455721.1863 21.1863 21.1863 21.1863 21.186321.9168 21.9168 21.9168 21.9168 21.916822.6474 22.6474 22.6474 22.6474 22.647423.3780 23.3780 23.3780 23.3780 23.378024.1085 24.1085 24.1085 24.1085 24.108524.8391 24.8391 24.8391 24.8391 24.839125.5696 25.5696 25.5696 25.5696 25.569626.3002 26.3002 26.3002 26.3002 26.300227.0308 27.0308 27.0308 27.0308 27.030827.7613 27.7613 27.7613 27.7613 27.761328.4919 28.4919 28.4919 28.4919 28.491929.2224 29.2224 29.2224 29.2224 29.222429.9530 29.9530 29.9530 29.9530 29.9530

30.0991 30.0991 30.0991 30.0991 30.099129.3715 29.3715 29.3715 29.3715 29.371529.3715 29.3715 29.3715 29.3715 29.371529.3715 29.3715 29.3715 29.3715 29.371529.3715 29.3715 29.3715 29.3715 29.371529.3715 29.3715 29.3715 29.3715 29.371529.3715 29.3715 29.3715 29.3715 29.371529.3715 29.3715 29.3715 29.3715 29.371529.3715 29.3715 29.3715 29.3715 29.371529.3715 29.3715 29.3715 29.3715 29.371529.3715 29.3715 29.3715 29.3715 29.371529.3715 29.3715 29.3715 29.3715 29.371529.3715 29.3715 29.3715 29.3715 29.3715

73.5531 73.5531 73.5531 73.5531 73.553173.5531 73.5531 73.5531 73.5531 73.553173.5531 73.5531 73.5531 73.5531 73.553173.5531 73.5531 73.5531 73.5531 73.5531

Page 47: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]
Page 48: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 5.5 6.00.0

0.1

0.2

0.3

0.4

0.5

Spektra Respons Percepatan (ARS) Desain, x = 5%, PBA = 0.40g

Perioda Tn (detik)

Pseudo-A

ccellera

tion S

pectr

a (

g)

Page 49: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 5.5 6.00.0

0.1

0.2

0.3

0.4

0.5

Spektra Respons Percepatan (ARS) Desain, x = 5%, PBA = 0.40g

Perioda Tn (detik)

Pseudo-A

ccellera

tion S

pectr

a (

g)

Page 50: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

Elastic Pseudo-Accelleration Design Spectrum

PGA = 0.4g

Page 51: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

Displasemen 0.4g

PGA = 0.4g

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 5.5 6.00.0

20.0

40.0

60.0

80.0

Spektra Respons Displasemen (DRS) Desain,x = 5%, PBA = 0.40g

Perioda Tn (detik)

Dis

pla

sem

en, cm

Page 52: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 5.5 6.00.0

20.0

40.0

60.0

80.0

Spektra Respons Displasemen (DRS) Desain,x = 5%, PBA = 0.40g

Perioda Tn (detik)

Dis

pla

sem

en, cm

Page 53: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

Inelastik Spektra, PGA=0.4g

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 5.5 6.00.0

0.2

0.4

0.6

0.8

1.0

1.2

Spektra Respons Percepatan (ARS) Inelastik,x = 5%, PBA = 0.40g

= m1.0 = m

1.5 = m

2.0 = m

4.0 = m

6.0

Perioda Tn (detik)

Pse

ud

o A

cce

lle

rati

on

Sp

ectr

a (

g)

Page 54: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 5.5 6.00.0

0.2

0.4

0.6

0.8

1.0

1.2

Spektra Respons Percepatan (ARS) Inelastik,x = 5%, PBA = 0.40g

= m1.0 = m

1.5 = m

2.0 = m

4.0 = m

6.0

Perioda Tn (detik)

Pse

ud

o A

cce

lle

rati

on

Sp

ectr

a (

g)

Page 55: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 5.5 6.00.0

20.0

40.0

60.0

80.0

Spektra Respons Deformasi (DRS) Inelastik,x = 5%, PBA = 0.40g

= m1.0

= m1.5

= m2.0

= m4.0

= m6.0

Perioda Te (detik)

Dis

pla

sem

en

, cm

Page 56: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 5.5 6.00.0

20.0

40.0

60.0

80.0

Spektra Respons Deformasi (DRS) Inelastik,x = 5%, PBA = 0.40g

= m1.0

= m1.5

= m2.0

= m4.0

= m6.0

Perioda Te (detik)

Dis

pla

sem

en

, cm

Page 57: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

Elastic Pseudo-Accelleration Design Spectrum

Page 58: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

Inelastik Spektra, PGA=0.4g

Page 59: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

Inelastic Design Spectra (IDS)_Prof. A.K. Chopra1. Equivalent Linear System (Rosenblueth, Herrera, Chopra)2. Elastic Design Spectrum (Newmark, Hall)3. Inelastic Design Spectrum (Newmark, Hall)4. Metoda IDS (Inelastic Design Spectra)

A. Variasi perioda dan redaman viskos sistem linear ekivalen dengan duktilitas

0 0.5 1 1.5 2 2.5 3 3.5a = 0.00 1.00 1.00 1.00 1.22 1.41 1.58 1.73 1.87

a = 0.05 1.00 1.00 1.00 1.21 1.38 1.52 1.65 1.76

a = 0.10 1.00 1.00 1.00 1.20 1.35 1.47 1.58 1.67

a = 0.20 1.00 1.00 1.00 1.17 1.29 1.39 1.46 1.53

a

1. Hubungan perioda untuk sistem linear ekivalen dengan duktilitas

Fa

kto

r ke

kaku

an

p

asc

a-lu

luh

, a

Faktor Duktilitas Struktur, m

0 1 2 3 4 5 6 7 8 9 100.00

0.50

1.00

1.50

2.00

2.50

3.00

3.50

Variasi Perioda terhadap Faktor Duktilitas

= a0.00 = a

0.05 = a

0.10

Faktor Duktilitas, m

Te

q :

Tn

Page 60: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

0 0.5 1 1.5 2 2.5 3 3.5a = 0.00 0.00 0.00 0.00 0.21 0.32 0.38 0.42 0.45

a = 0.05 0.00 0.00 0.00 0.19 0.27 0.32 0.35 0.37

a = 0.10 0.00 0.00 0.00 0.17 0.25 0.29 0.31 0.31

a = 0.20 0.00 0.00 0.00 0.14 0.20 0.22 0.23 0.23

2. Hubungan redaman viskos ekivalen pada sistem linear ekivalen dengan duktilitas

Fa

kto

r ke

kaku

an

p

asc

a-lu

luh

, a

Faktor Duktilitas Struktur, m

0 1 2 3 4 5 6 7 8 9 100.00

0.50

1.00

1.50

2.00

2.50

3.00

3.50

Variasi Perioda terhadap Faktor Duktilitas

= a0.00 = a

0.05 = a

0.10

Faktor Duktilitas, m

Te

q :

Tn

0.00

0.10

0.20

0.30

0.40

0.50

0.60

0.70

Variasi Redaman Viskos Ekivalen terhadap Faktor Duktilitas

= a0.00 = a

0.05 = a

0.10

Faktor Duktilitas, m

Re

da

ma

n v

isko

s e

kiv

ale

n, xe

q

Page 61: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

B. Elastic Design Spectrum

Nilai-nilai maksimum spektra tripartie Newmark-Hall

x (%) A

2.00 3.66 2.92 2.42 1.0g

3.00 3.24 2.64 2.24 981 cm/s2

5.00 2.71 2.30 2.01

10.00 1.99 1.84 1.69

NoPBA 1.0g

1 0.010 1.00002 0.020 1.00003 0.030 1.0000

4 0.033 1.00005 0.0334 1.06886 0.0335 1.07117 0.0336 1.07338 0.0337 1.07569 0.0338 1.0778

10 0.125 2.706511 0.130 2.706512 0.140 2.706513 0.150 2.706514 0.160 2.706515 0.170 2.706516 0.180 2.706517 0.190 2.706518 0.200 2.706519 0.210 2.706520 0.220 2.706521 0.230 2.706522 0.240 2.706523 0.250 2.706524 0.260 2.706525 0.270 2.7065

1. Faktor Amplifikasi Spektrum Percepatan,

Kecepatan dan Displasemen vs Redaman Redaman x = 5%

aA aV aD

2. Elastic Pseudo-Accelleration Design Spectrum (Newmark-Hall Procedure)

Tabel Respons Spektra Percepatan Elastik, x = x0 = 5%

Period (s) (m=1)

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 5.5 6.00.0

0.5

1.0

1.5

2.0

2.5

3.0

Pseudo Respons Percepatan Elastik Newmark-Hall (x=5%) Profil Tanah Keras (Tipe B), PBA = 1.0g, m=1

Perioda Tn (detik)

Pseudo-A

ccellera

tion S

pectr

a (

g)

Page 62: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

26 0.280 2.706527 0.290 2.706528 0.300 2.706529 0.310 2.706530 0.320 2.706531 0.330 2.706532 0.340 2.706533 0.350 2.706534 0.360 2.706535 0.370 2.706536 0.380 2.706537 0.390 2.706538 0.400 2.706539 0.410 2.706540 0.420 2.706541 0.430 2.706542 0.440 2.706543 0.450 2.706544 0.460 2.706545 0.470 2.706546 0.480 2.706547 0.490 2.706548 0.500 2.706549 0.510 2.706550 0.520 2.706551 0.530 2.706552 0.540 2.706553 0.550 2.706554 0.560 2.706555 0.570 2.706556 0.580 2.706557 0.590 2.706558 0.600 2.706559 0.610 2.706560 0.620 2.706561 0.630 2.706562 0.640 2.706563 0.650 2.706564 0.660 2.7065

65 0.667 2.706566 0.670 2.686667 0.680 2.647168 0.690 2.608769 0.700 2.571470 0.710 2.535271 0.720 2.500072 0.730 2.465873 0.740 2.4324

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 5.5 6.00.0

0.5

1.0

1.5

2.0

2.5

3.0

Pseudo Respons Percepatan Elastik Newmark-Hall (x=5%) Profil Tanah Keras (Tipe B), PBA = 1.0g, m=1

Perioda Tn (detik)

Pseudo-A

ccellera

tion S

pectr

a (

g)

Page 63: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

74 0.750 2.400075 0.760 2.368476 0.770 2.337777 0.780 2.307778 0.790 2.278579 0.800 2.250080 0.810 2.222281 0.820 2.195182 0.830 2.168783 0.840 2.142984 0.850 2.117685 0.860 2.093086 0.870 2.069087 0.880 2.045588 0.890 2.022589 0.900 2.000090 0.910 1.978091 0.920 1.956592 0.930 1.935593 0.940 1.914994 0.950 1.894795 0.960 1.8750

96 0.970 1.855797 0.980 1.836798 0.990 1.818299 1.000 1.8000

100 1.100 1.6364101 1.200 1.5000102 1.300 1.3846103 1.400 1.2857104 1.500 1.2000105 1.600 1.1250106 1.700 1.0588107 1.800 1.0000108 1.900 0.9474109 2.000 0.9000110 2.100 0.8571111 2.200 0.8182112 2.300 0.7826113 2.400 0.7500114 2.500 0.7200115 2.600 0.6923116 2.700 0.6667117 2.800 0.6429118 2.900 0.6207119 3.000 0.6000120 3.100 0.5806121 3.200 0.5625

PGA = 1.0g (ARS)

Page 64: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

122 3.300 0.5455123 3.400 0.5294124 3.500 0.5143125 3.600 0.5000126 3.700 0.4865127 3.800 0.4737128 3.900 0.4615129 4.000 0.4500130 4.100 0.4390

131 4.120 0.4369132 4.150 0.4297133 4.200 0.4195134 4.300 0.4002135 4.400 0.3822136 4.500 0.3654137 4.600 0.3497138 4.700 0.3350139 4.800 0.3212140 4.900 0.3082141 5.000 0.2960142 5.500 0.2446143 6.000 0.2056

144 10.000 0.0740145 11.000 0.0612146 20.000 0.0185147 25.000 0.0118

Displasemen 1.0gNo

PBA 1.0g

1 0.010 0.00252 0.020 0.00993 0.030 0.0224

4 0.033 0.02715 0.0334 0.02966 0.0335 0.02997 0.0336 0.0301

PGA = 1.0g (ARS)

Tabel Respons Spektra Displasemen, x = x0 = 5%

Period (s) (m=1)

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 5.5 6.00.0

25.0

50.0

75.0

100.0

125.0

150.0

175.0

200.0

Elastic Deformation Design Spectrum, x = 5%

Perioda Tn (detik)

Um

, cm

)

Page 65: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

8 0.0337 0.03049 0.0338 0.0306

10 0.125 1.050811 0.130 1.136612 0.140 1.318213 0.150 1.513214 0.160 1.721715 0.170 1.943616 0.180 2.179017 0.190 2.427918 0.200 2.690219 0.210 2.965920 0.220 3.255121 0.230 3.557822 0.240 3.873823 0.250 4.203424 0.260 4.546425 0.270 4.902826 0.280 5.272727 0.290 5.656128 0.300 6.052929 0.310 6.463130 0.320 6.886831 0.330 7.324032 0.340 7.774633 0.350 8.238634 0.360 8.716235 0.370 9.207136 0.380 9.711537 0.390 10.229438 0.400 10.760739 0.410 11.305440 0.420 11.863741 0.430 12.435342 0.440 13.020443 0.450 13.619044 0.460 14.231045 0.470 14.856546 0.480 15.495447 0.490 16.147748 0.500 16.813649 0.510 17.492850 0.520 18.185651 0.530 18.891752 0.540 19.611353 0.550 20.344454 0.560 21.090955 0.570 21.8509

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 5.5 6.00.0

25.0

50.0

75.0

100.0

125.0

150.0

175.0

200.0

Elastic Deformation Design Spectrum, x = 5%

Perioda Tn (detik)

Um

, cm

)

Page 66: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

56 0.580 22.624357 0.590 23.411258 0.600 24.211559 0.610 25.025360 0.620 25.852561 0.630 26.693262 0.640 27.547363 0.650 28.414964 0.660 29.2960

65 0.667 29.920766 0.670 29.967967 0.680 30.415268 0.690 30.862569 0.700 31.309870 0.710 31.757071 0.720 32.204372 0.730 32.651673 0.740 33.098974 0.750 33.546275 0.760 33.993576 0.770 34.440777 0.780 34.888078 0.790 35.335379 0.800 35.782680 0.810 36.229981 0.820 36.677282 0.830 37.124483 0.840 37.571784 0.850 38.019085 0.860 38.466386 0.870 38.913687 0.880 39.360888 0.890 39.808189 0.900 40.255490 0.910 40.702791 0.920 41.150092 0.930 41.597393 0.940 42.044594 0.950 42.491895 0.960 42.939196 0.970 43.386497 0.980 43.833798 0.990 44.281099 1.000 44.7282

100 1.100 49.2011101 1.200 53.6739102 1.300 58.1467103 1.400 62.6195104 1.500 67.0924

Page 67: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

105 1.600 71.5652106 1.700 76.0380107 1.800 80.5108108 1.900 84.9836109 2.000 89.4565110 2.100 93.9293111 2.200 98.4021112 2.300 102.8749113 2.400 107.3478114 2.500 111.8206115 2.600 116.2934116 2.700 120.7662117 2.800 125.2391118 2.900 129.7119119 3.000 134.1847120 3.100 138.6575121 3.200 143.1304122 3.300 147.6032123 3.400 152.0760124 3.500 156.5488125 3.600 161.0217126 3.700 165.4945127 3.800 169.9673128 3.900 174.4401129 4.000 178.9129130 4.100 183.3858

131 4.120 184.2803132 4.150 183.8828133 4.200 183.8828134 4.300 183.8828135 4.400 183.8828136 4.500 183.8828137 4.600 183.8828138 4.700 183.8828139 4.800 183.8828140 4.900 183.8828141 5.000 183.8828142 5.500 183.8828143 6.000 183.8828

144 10.000 183.8828145 11.000 183.8828146 20.000 183.8828147 25.000 183.8828

Page 68: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

Parameter Integrasi Dt Spektra Newmark-Hall:

b = 0.25

g = 0.50

Faktor Reduksi Gaya, R

NoPBA 0.4g R PBA 0.4g R PBA 0.4g R PBA 0.4g

1.0 1.5 2.0 4.01 0.010 0.4000 1.0000 0.4000 1.0000 0.4000 1.0000 0.4000

2 0.020 0.4000 1.0000 0.4000 1.0000 0.4000 1.0000 0.4000

Period (s)

Page 69: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

3 0.030 0.4000 1.0000 0.4000 1.0000 0.4000 1.0000 0.4000

Ta 4 0.033 0.4000 1.0000 0.4000 1.0000 0.4000 1.0000 0.4000

5 0.0334 0.4275 1.0000 0.4275 1.0905 0.4275 1.1472 0.4275

6 0.0335 0.4284 1.0000 0.4284 1.0905 0.4284 1.1472 0.4284

7 0.0336 0.4293 1.0000 0.4293 1.0905 0.4293 1.1472 0.4293

8 0.0337 0.4302 1.0000 0.4302 1.0905 0.4302 1.1472 0.4302

9 0.0338 0.4311 1.0000 0.4311 1.0905 0.4311 1.1472 0.4311

Tb 10 0.125 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

11 0.130 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

12 0.140 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

13 0.150 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

14 0.160 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

15 0.170 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

16 0.180 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

17 0.190 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

18 0.200 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

19 0.210 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

20 0.220 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

21 0.230 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

22 0.240 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

23 0.250 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

24 0.260 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

25 0.270 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

26 0.280 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

27 0.290 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

28 0.300 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

29 0.310 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

30 0.320 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

Tc8.0 31 0.330 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

32 0.340 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

33 0.350 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

34 0.360 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

Tc6.0 35 0.370 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

36 0.380 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

37 0.390 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

38 0.400 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

39 0.410 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

40 0.420 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

41 0.430 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

42 0.440 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

Tc4.0 43 0.450 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

Page 70: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

44 0.460 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

45 0.470 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

46 0.480 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

47 0.490 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

48 0.500 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

49 0.510 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

50 0.520 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

51 0.530 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

52 0.540 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

53 0.550 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

54 0.560 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

55 0.570 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

56 0.580 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

Tc2.0 57 0.590 1.0826 1.0000 1.0826 1.4142 1.0826 1.7691 1.0826

58 0.600 1.0826 1.0000 1.0826 1.4142 1.0826 1.7991 1.0826

59 0.610 1.0826 1.0000 1.0826 1.4142 1.0826 1.8291 1.0826

60 0.620 1.0826 1.0000 1.0826 1.4142 1.0826 1.8591 1.0826

Tc1.5 61 0.630 1.0826 1.0000 1.0826 1.4168 1.0826 1.8891 1.0826

62 0.640 1.0826 1.0000 1.0826 1.4393 1.0826 1.9190 1.0826

63 0.650 1.0826 1.0000 1.0826 1.4618 1.0826 1.9490 1.0826

64 0.660 1.0826 1.0000 1.0826 1.4843 1.0826 1.9790 1.0826

Tc 65 0.667 1.0826 1.0000 1.0826 1.5000 1.0826 2.0000 1.0826

66 0.670 1.0746 1.0000 1.0746 1.5000 1.0746 2.0000 1.0746

67 0.680 1.0588 1.0000 1.0588 1.5000 1.0588 2.0000 1.0588

68 0.690 1.0435 1.0000 1.0435 1.5000 1.0435 2.0000 1.0435

69 0.700 1.0286 1.0000 1.0286 1.5000 1.0286 2.0000 1.0286

70 0.710 1.0141 1.0000 1.0141 1.5000 1.0141 2.0000 1.0141

71 0.720 1.0000 1.0000 1.0000 1.5000 1.0000 2.0000 1.0000

72 0.730 0.9863 1.0000 0.9863 1.5000 0.9863 2.0000 0.9863

73 0.740 0.9730 1.0000 0.9730 1.5000 0.9730 2.0000 0.9730

74 0.750 0.9600 1.0000 0.9600 1.5000 0.9600 2.0000 0.9600

75 0.760 0.9474 1.0000 0.9474 1.5000 0.9474 2.0000 0.9474

76 0.770 0.9351 1.0000 0.9351 1.5000 0.9351 2.0000 0.9351

77 0.780 0.9231 1.0000 0.9231 1.5000 0.9231 2.0000 0.9231

78 0.790 0.9114 1.0000 0.9114 1.5000 0.9114 2.0000 0.9114

79 0.800 0.9000 1.0000 0.9000 1.5000 0.9000 2.0000 0.9000

80 0.810 0.8889 1.0000 0.8889 1.5000 0.8889 2.0000 0.8889

81 0.820 0.8780 1.0000 0.8780 1.5000 0.8780 2.0000 0.8780

82 0.830 0.8675 1.0000 0.8675 1.5000 0.8675 2.0000 0.8675

83 0.840 0.8571 1.0000 0.8571 1.5000 0.8571 2.0000 0.8571

84 0.850 0.8471 1.0000 0.8471 1.5000 0.8471 2.0000 0.8471

Page 71: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

85 0.860 0.8372 1.0000 0.8372 1.5000 0.8372 2.0000 0.8372

86 0.870 0.8276 1.0000 0.8276 1.5000 0.8276 2.0000 0.8276

87 0.880 0.8182 1.0000 0.8182 1.5000 0.8182 2.0000 0.8182

88 0.890 0.8090 1.0000 0.8090 1.5000 0.8090 2.0000 0.8090

89 0.900 0.8000 1.0000 0.8000 1.5000 0.8000 2.0000 0.8000

90 0.910 0.7912 1.0000 0.7912 1.5000 0.7912 2.0000 0.7912

91 0.920 0.7826 1.0000 0.7826 1.5000 0.7826 2.0000 0.7826

92 0.930 0.7742 1.0000 0.7742 1.5000 0.7742 2.0000 0.7742

93 0.940 0.7660 1.0000 0.7660 1.5000 0.7660 2.0000 0.7660

94 0.950 0.7579 1.0000 0.7579 1.5000 0.7579 2.0000 0.7579

95 0.960 0.7500 1.0000 0.7500 1.5000 0.7500 2.0000 0.7500

96 0.970 0.7423 1.0000 0.7423 1.5000 0.7423 2.0000 0.7423

97 0.980 0.7347 1.0000 0.7347 1.5000 0.7347 2.0000 0.7347

98 0.990 0.7273 1.0000 0.7273 1.5000 0.7273 2.0000 0.7273

99 1.000 0.7200 1.0000 0.7200 1.5000 0.7200 2.0000 0.7200

100 1.100 0.6545 1.0000 0.6545 1.5000 0.6545 2.0000 0.6545

101 1.200 0.6000 1.0000 0.6000 1.5000 0.6000 2.0000 0.6000

102 1.300 0.5538 1.0000 0.5538 1.5000 0.5538 2.0000 0.5538

103 1.400 0.5143 1.0000 0.5143 1.5000 0.5143 2.0000 0.5143

104 1.500 0.4800 1.0000 0.4800 1.5000 0.4800 2.0000 0.4800

105 1.600 0.4500 1.0000 0.4500 1.5000 0.4500 2.0000 0.4500

106 1.700 0.4235 1.0000 0.4235 1.5000 0.4235 2.0000 0.4235

107 1.800 0.4000 1.0000 0.4000 1.5000 0.4000 2.0000 0.4000

108 1.900 0.3789 1.0000 0.3789 1.5000 0.3789 2.0000 0.3789

109 2.000 0.3600 1.0000 0.3600 1.5000 0.3600 2.0000 0.3600

110 2.100 0.3429 1.0000 0.3429 1.5000 0.3429 2.0000 0.3429

111 2.200 0.3273 1.0000 0.3273 1.5000 0.3273 2.0000 0.3273

112 2.300 0.3130 1.0000 0.3130 1.5000 0.3130 2.0000 0.3130

113 2.400 0.3000 1.0000 0.3000 1.5000 0.3000 2.0000 0.3000

114 2.500 0.2880 1.0000 0.2880 1.5000 0.2880 2.0000 0.2880

115 2.600 0.2769 1.0000 0.2769 1.5000 0.2769 2.0000 0.2769

116 2.700 0.2667 1.0000 0.2667 1.5000 0.2667 2.0000 0.2667

117 2.800 0.2571 1.0000 0.2571 1.5000 0.2571 2.0000 0.2571

118 2.900 0.2483 1.0000 0.2483 1.5000 0.2483 2.0000 0.2483

119 3.000 0.2400 1.0000 0.2400 1.5000 0.2400 2.0000 0.2400

120 3.100 0.2323 1.0000 0.2323 1.5000 0.2323 2.0000 0.2323

121 3.200 0.2250 1.0000 0.2250 1.5000 0.2250 2.0000 0.2250

122 3.300 0.2182 1.0000 0.2182 1.5000 0.2182 2.0000 0.2182

123 3.400 0.2118 1.0000 0.2118 1.5000 0.2118 2.0000 0.2118

124 3.500 0.2057 1.0000 0.2057 1.5000 0.2057 2.0000 0.2057

125 3.600 0.2000 1.0000 0.2000 1.5000 0.2000 2.0000 0.2000

Page 72: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

126 3.700 0.1946 1.0000 0.1946 1.5000 0.1946 2.0000 0.1946

127 3.800 0.1895 1.0000 0.1895 1.5000 0.1895 2.0000 0.1895

128 3.900 0.1846 1.0000 0.1846 1.5000 0.1846 2.0000 0.1846

129 4.000 0.1800 1.0000 0.1800 1.5000 0.1800 2.0000 0.1800

130 4.100 0.1756 1.0000 0.1756 1.5000 0.1756 2.0000 0.1756

131 4.120 0.1748 1.0000 0.1748 1.5000 0.1748 2.0000 0.1748

132 4.150 0.1719 1.0000 0.1719 1.5000 0.1719 2.0000 0.1719

133 4.200 0.1678 1.0000 0.1678 1.5000 0.1678 2.0000 0.1678

134 4.300 0.1601 1.0000 0.1601 1.5000 0.1601 2.0000 0.1601

135 4.400 0.1529 1.0000 0.1529 1.5000 0.1529 2.0000 0.1529

136 4.500 0.1462 1.0000 0.1462 1.5000 0.1462 2.0000 0.1462

137 4.600 0.1399 1.0000 0.1399 1.5000 0.1399 2.0000 0.1399

138 4.700 0.1340 1.0000 0.1340 1.5000 0.1340 2.0000 0.1340

139 4.800 0.1285 1.0000 0.1285 1.5000 0.1285 2.0000 0.1285

140 4.900 0.1233 1.0000 0.1233 1.5000 0.1233 2.0000 0.1233

141 5.000 0.1184 1.0000 0.1184 1.5000 0.1184 2.0000 0.1184

142 5.500 0.0979 1.0000 0.0979 1.5000 0.0979 2.0000 0.0979

143 6.000 0.0822 1.0000 0.0822 1.5000 0.0822 2.0000 0.0822

144 10.000 0.0296 1.0000 0.0296 1.5000 0.0296 2.0000 0.0296

145 11.000 0.0245 1.0000 0.0245 1.5000 0.0245 2.0000 0.0245

146 20.000 0.0074 1.0000 0.0074 1.5000 0.0074 2.0000 0.0074

147 25.000 0.0047 1.0000 0.0047 1.5000 0.0047 2.0000 0.0047

Page 73: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

Inelastic Design Spectra (IDS)_Prof. A.K. Chopra

A. Variasi perioda dan redaman viskos sistem linear ekivalen dengan duktilitas

4 4.5 5 5.5 6 6.5 7 7.5 82.00 2.12 2.24 2.35 2.45 2.55 2.65 2.74 2.83

1.87 1.96 2.04 2.12 2.19 2.26 2.32 2.38 2.43

1.75 1.83 1.89 1.95 2.00 2.05 2.09 2.13 2.17

1.58 1.63 1.67 1.70 1.73 1.76 1.78 1.81 1.83

Faktor Duktilitas Struktur, m

0 1 2 3 4 5 6 7 8 9 100.00

0.50

1.00

1.50

2.00

2.50

3.00

3.50

Variasi Perioda terhadap Faktor Duktilitas

= a0.00 = a

0.05 = a

0.10

Faktor Duktilitas, m

Te

q :

Tn

Page 74: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

4 4.5 5 5.5 6 6.5 7 7.5 80.48 0.50 0.51 0.52 0.53 0.54 0.55 0.55 0.56

0.38 0.38 0.39 0.39 0.39 0.39 0.38 0.38 0.38

0.32 0.32 0.32 0.31 0.31 0.30 0.30 0.29 0.29

0.22 0.22 0.21 0.21 0.20 0.20 0.19 0.18 0.18

Hubungan redaman viskos ekivalen pada sistem linear ekivalen dengan duktilitas

Faktor Duktilitas Struktur, m

0 1 2 3 4 5 6 7 8 9 100.00

0.50

1.00

1.50

2.00

2.50

3.00

3.50

Variasi Perioda terhadap Faktor Duktilitas

= a0.00 = a

0.05 = a

0.10

Faktor Duktilitas, m

Te

q :

Tn

0.00

0.10

0.20

0.30

0.40

0.50

0.60

0.70

Variasi Redaman Viskos Ekivalen terhadap Faktor Duktilitas

= a0.00 = a

0.05 = a

0.10

Faktor Duktilitas, m

Re

da

ma

n v

isko

s e

kiv

ale

n, xe

q

Page 75: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

Nilai-nilai maksimum spektra tripartie Newmark-Hall

V D

122 cm/s 91.4 cm

122 cm/s 91.4 cm

48 in/s 36 in

NoPBA 0.4g

1 0.010 0.40002 0.020 0.40003 0.030 0.4000

4 0.033 0.40005 0.0334 0.42756 0.0335 0.42847 0.0336 0.42938 0.0337 0.43029 0.0338 0.4311

10 0.125 1.082611 0.130 1.082612 0.140 1.082613 0.150 1.082614 0.160 1.082615 0.170 1.082616 0.180 1.082617 0.190 1.082618 0.200 1.082619 0.210 1.082620 0.220 1.082621 0.230 1.082622 0.240 1.082623 0.250 1.082624 0.260 1.082625 0.270 1.0826

Redaman x = 5%

Elastic Pseudo-Accelleration Design Spectrum (Newmark-Hall Procedure)

Period (s) (m=1)

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 5.5 6.00.0

0.5

1.0

1.5

2.0

2.5

3.0

Pseudo Respons Percepatan Elastik Newmark-Hall (x=5%) Profil Tanah Keras (Tipe B), PBA = 1.0g, m=1

Perioda Tn (detik)

Pseudo-A

ccellera

tion S

pectr

a (

g)

Page 76: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

26 0.280 1.082627 0.290 1.082628 0.300 1.082629 0.310 1.082630 0.320 1.082631 0.330 1.082632 0.340 1.082633 0.350 1.082634 0.360 1.082635 0.370 1.082636 0.380 1.082637 0.390 1.082638 0.400 1.082639 0.410 1.082640 0.420 1.082641 0.430 1.082642 0.440 1.082643 0.450 1.082644 0.460 1.082645 0.470 1.082646 0.480 1.082647 0.490 1.082648 0.500 1.082649 0.510 1.082650 0.520 1.082651 0.530 1.082652 0.540 1.082653 0.550 1.082654 0.560 1.082655 0.570 1.082656 0.580 1.082657 0.590 1.082658 0.600 1.082659 0.610 1.082660 0.620 1.082661 0.630 1.082662 0.640 1.082663 0.650 1.082664 0.660 1.0826

65 0.667 1.082666 0.670 1.074667 0.680 1.058868 0.690 1.043569 0.700 1.028670 0.710 1.014171 0.720 1.000072 0.730 0.986373 0.740 0.9730

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 5.5 6.00.0

0.5

1.0

1.5

2.0

2.5

3.0

Pseudo Respons Percepatan Elastik Newmark-Hall (x=5%) Profil Tanah Keras (Tipe B), PBA = 1.0g, m=1

Perioda Tn (detik)

Pseudo-A

ccellera

tion S

pectr

a (

g)

Page 77: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

74 0.750 0.960075 0.760 0.947476 0.770 0.935177 0.780 0.923178 0.790 0.911479 0.800 0.900080 0.810 0.888981 0.820 0.878082 0.830 0.867583 0.840 0.857184 0.850 0.847185 0.860 0.837286 0.870 0.827687 0.880 0.818288 0.890 0.809089 0.900 0.800090 0.910 0.791291 0.920 0.782692 0.930 0.774293 0.940 0.766094 0.950 0.757995 0.960 0.7500

96 0.970 0.742397 0.980 0.734798 0.990 0.727399 1.000 0.7200

100 1.100 0.6545101 1.200 0.6000102 1.300 0.5538103 1.400 0.5143104 1.500 0.4800105 1.600 0.4500106 1.700 0.4235107 1.800 0.4000108 1.900 0.3789109 2.000 0.3600110 2.100 0.3429111 2.200 0.3273112 2.300 0.3130113 2.400 0.3000114 2.500 0.2880115 2.600 0.2769116 2.700 0.2667117 2.800 0.2571118 2.900 0.2483119 3.000 0.2400120 3.100 0.2323121 3.200 0.2250

PGA = 1.0g (ARS)

Page 78: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

122 3.300 0.2182123 3.400 0.2118124 3.500 0.2057125 3.600 0.2000126 3.700 0.1946127 3.800 0.1895128 3.900 0.1846129 4.000 0.1800130 4.100 0.1756

131 4.120 0.1748132 4.150 0.1719133 4.200 0.1678134 4.300 0.1601135 4.400 0.1529136 4.500 0.1462137 4.600 0.1399138 4.700 0.1340139 4.800 0.1285140 4.900 0.1233141 5.000 0.1184142 5.500 0.0979143 6.000 0.0822

144 10.000 0.0296145 11.000 0.0245146 20.000 0.0074147 25.000 0.0047

Displasemen 1.0g Displasemen 0.4gNo

PBA 0.4g

1 0.010 0.00102 0.020 0.00403 0.030 0.0089

4 0.033 0.01085 0.0334 0.01196 0.0335 0.01197 0.0336 0.0120

PGA = 1.0g (ARS)

Period (s) (m=1)

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 5.5 6.00.0

25.0

50.0

75.0

100.0

125.0

150.0

175.0

200.0

Elastic Deformation Design Spectrum, x = 5%

Perioda Tn (detik)

Um

, cm

)

Page 79: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

8 0.0337 0.01219 0.0338 0.0122

10 0.125 0.420311 0.130 0.454612 0.140 0.527313 0.150 0.605314 0.160 0.688715 0.170 0.777516 0.180 0.871617 0.190 0.971218 0.200 1.076119 0.210 1.186420 0.220 1.302021 0.230 1.423122 0.240 1.549523 0.250 1.681424 0.260 1.818625 0.270 1.961126 0.280 2.109127 0.290 2.262428 0.300 2.421229 0.310 2.585330 0.320 2.754731 0.330 2.929632 0.340 3.109833 0.350 3.295534 0.360 3.486535 0.370 3.682836 0.380 3.884637 0.390 4.091738 0.400 4.304339 0.410 4.522240 0.420 4.745541 0.430 4.974142 0.440 5.208243 0.450 5.447644 0.460 5.692445 0.470 5.942646 0.480 6.198247 0.490 6.459148 0.500 6.725449 0.510 6.997150 0.520 7.274251 0.530 7.556752 0.540 7.844553 0.550 8.137854 0.560 8.436455 0.570 8.7404

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 5.5 6.00.0

25.0

50.0

75.0

100.0

125.0

150.0

175.0

200.0

Elastic Deformation Design Spectrum, x = 5%

Perioda Tn (detik)

Um

, cm

)

Page 80: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

56 0.580 9.049757 0.590 9.364558 0.600 9.684659 0.610 10.010160 0.620 10.341061 0.630 10.677362 0.640 11.018963 0.650 11.366064 0.660 11.7184

65 0.667 11.968366 0.670 11.987267 0.680 12.166168 0.690 12.345069 0.700 12.523970 0.710 12.702871 0.720 12.881772 0.730 13.060673 0.740 13.239674 0.750 13.418575 0.760 13.597476 0.770 13.776377 0.780 13.955278 0.790 14.134179 0.800 14.313080 0.810 14.491981 0.820 14.670982 0.830 14.849883 0.840 15.028784 0.850 15.207685 0.860 15.386586 0.870 15.565487 0.880 15.744388 0.890 15.923389 0.900 16.102290 0.910 16.281191 0.920 16.460092 0.930 16.638993 0.940 16.817894 0.950 16.996795 0.960 17.175696 0.970 17.354697 0.980 17.533598 0.990 17.712499 1.000 17.8913

100 1.100 19.6804101 1.200 21.4696102 1.300 23.2587103 1.400 25.0478104 1.500 26.8369

Page 81: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

105 1.600 28.6261106 1.700 30.4152107 1.800 32.2043108 1.900 33.9935109 2.000 35.7826110 2.100 37.5717111 2.200 39.3608112 2.300 41.1500113 2.400 42.9391114 2.500 44.7282115 2.600 46.5174116 2.700 48.3065117 2.800 50.0956118 2.900 51.8848119 3.000 53.6739120 3.100 55.4630121 3.200 57.2521122 3.300 59.0413123 3.400 60.8304124 3.500 62.6195125 3.600 64.4087126 3.700 66.1978127 3.800 67.9869128 3.900 69.7760129 4.000 71.5652130 4.100 73.3543

131 4.120 73.7121132 4.150 73.5531133 4.200 73.5531134 4.300 73.5531135 4.400 73.5531136 4.500 73.5531137 4.600 73.5531138 4.700 73.5531139 4.800 73.5531140 4.900 73.5531141 5.000 73.5531142 5.500 73.5531143 6.000 73.5531

144 10.000 73.5531145 11.000 73.5531146 20.000 73.5531147 25.000 73.5531

Page 82: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

Parameter Integrasi Dt Spektra Newmark-Hall:

R PBA 0.4g R PBA 0.4g R NoPeriod (s) 1

6.0 8.01.0000 0.4000 1.0000 0.4000 1.0000 1 0.010 0.4000

1.0000 0.4000 1.0000 0.4000 1.0000 2 0.020 0.4000

m = 1.0

Page 83: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

1.0000 0.4000 1.0000 0.4000 1.0000 3 0.030 0.4000

1.0000 0.4000 1.0000 0.4000 1.0000 Ta 4 0.033 0.4000

1.2754 0.4275 1.3495 0.4275 1.4029 5 0.0334 0.4275

1.2754 0.4284 1.3495 0.4284 1.4029 6 0.0335 0.4284

1.2754 0.4293 1.3495 0.4293 1.4029 7 0.0336 0.4293

1.2754 0.4302 1.3495 0.4302 1.4029 8 0.0337 0.4302

1.2754 0.4311 1.3495 0.4311 1.4029 9 0.0338 0.4311

2.6458 1.0826 3.3166 1.0826 3.8730 Tb 10 0.125 1.0826

2.6458 1.0826 3.3166 1.0826 3.8730 11 0.130 1.0826

2.6458 1.0826 3.3166 1.0826 3.8730 12 0.140 1.0826

2.6458 1.0826 3.3166 1.0826 3.8730 13 0.150 1.0826

2.6458 1.0826 3.3166 1.0826 3.8730 14 0.160 1.0826

2.6458 1.0826 3.3166 1.0826 3.8730 15 0.170 1.0826

2.6458 1.0826 3.3166 1.0826 3.8730 16 0.180 1.0826

2.6458 1.0826 3.3166 1.0826 3.8730 17 0.190 1.0826

2.6458 1.0826 3.3166 1.0826 3.8730 18 0.200 1.0826

2.6458 1.0826 3.3166 1.0826 3.8730 19 0.210 1.0826

2.6458 1.0826 3.3166 1.0826 3.8730 20 0.220 1.0826

2.6458 1.0826 3.3166 1.0826 3.8730 21 0.230 1.0826

2.6458 1.0826 3.3166 1.0826 3.8730 22 0.240 1.0826

2.6458 1.0826 3.3166 1.0826 3.8730 23 0.250 1.0826

2.6458 1.0826 3.3166 1.0826 3.8730 24 0.260 1.0826

2.6458 1.0826 3.3166 1.0826 3.8730 25 0.270 1.0826

2.6458 1.0826 3.3166 1.0826 3.8730 26 0.280 1.0826

2.6458 1.0826 3.3166 1.0826 3.8730 27 0.290 1.0826

2.6458 1.0826 3.3166 1.0826 3.8730 28 0.300 1.0826

2.6458 1.0826 3.3166 1.0826 3.8730 29 0.310 1.0826

2.6458 1.0826 3.3166 1.0826 3.8730 30 0.320 1.0826

2.6458 1.0826 3.3166 1.0826 3.9580 31 0.330 1.0826

2.6458 1.0826 3.3166 1.0826 4.0780 32 0.340 1.0826

2.6458 1.0826 3.3166 1.0826 4.1979 33 0.350 1.0826

2.6458 1.0826 3.3166 1.0826 4.3178 34 0.360 1.0826

2.6458 1.0826 3.3283 1.0826 4.4378 35 0.370 1.0826

2.6458 1.0826 3.4183 1.0826 4.5577 36 0.380 1.0826

2.6458 1.0826 3.5082 1.0826 4.6777 37 0.390 1.0826

2.6458 1.0826 3.5982 1.0826 4.7976 38 0.400 1.0826

2.6458 1.0826 3.6882 1.0826 4.9175 39 0.410 1.0826

2.6458 1.0826 3.7781 1.0826 5.0375 40 0.420 1.0826

2.6458 1.0826 3.8681 1.0826 5.1574 41 0.430 1.0826

2.6458 1.0826 3.9580 1.0826 5.2774 42 0.440 1.0826

2.6987 1.0826 4.0480 1.0826 5.3973 43 0.450 1.0826

Page 84: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

2.7586 1.0826 4.1379 1.0826 5.5172 44 0.460 1.0826

2.8186 1.0826 4.2279 1.0826 5.6372 45 0.470 1.0826

2.8786 1.0826 4.3178 1.0826 5.7571 46 0.480 1.0826

2.9385 1.0826 4.4078 1.0826 5.8771 47 0.490 1.0826

2.9985 1.0826 4.4978 1.0826 5.9970 48 0.500 1.0826

3.0585 1.0826 4.5877 1.0826 6.1169 49 0.510 1.0826

3.1184 1.0826 4.6777 1.0826 6.2369 50 0.520 1.0826

3.1784 1.0826 4.7676 1.0826 6.3568 51 0.530 1.0826

3.2384 1.0826 4.8576 1.0826 6.4768 52 0.540 1.0826

3.2984 1.0826 4.9475 1.0826 6.5967 53 0.550 1.0826

3.3583 1.0826 5.0375 1.0826 6.7166 54 0.560 1.0826

3.4183 1.0826 5.1274 1.0826 6.8366 55 0.570 1.0826

3.4783 1.0826 5.2174 1.0826 6.9565 56 0.580 1.0826

3.5382 1.0826 5.3073 1.0826 7.0765 57 0.590 1.0826

3.5982 1.0826 5.3973 1.0826 7.1964 Tc' 58 0.600 1.0826

3.6582 1.0826 5.4873 1.0826 7.3163 59 0.610 1.0826

3.7181 1.0826 5.5772 1.0826 7.4363 60 0.620 1.0826

3.7781 1.0826 5.6672 1.0826 7.5562 61 0.630 1.0826

3.8381 1.0826 5.7571 1.0826 7.6762 62 0.640 1.0826

3.8981 1.0826 5.8471 1.0826 7.7961 63 0.650 1.0826

3.9580 1.0826 5.9370 1.0826 7.9160 64 0.660 1.0826

4.0000 1.0826 6.0000 1.0826 8.0000 Tc 65 0.667 1.0826

4.0000 1.0746 6.0000 1.0746 8.0000 66 0.670 1.0746

4.0000 1.0588 6.0000 1.0588 8.0000 67 0.680 1.0588

4.0000 1.0435 6.0000 1.0435 8.0000 68 0.690 1.0435

4.0000 1.0286 6.0000 1.0286 8.0000 69 0.700 1.0286

4.0000 1.0141 6.0000 1.0141 8.0000 70 0.710 1.0141

4.0000 1.0000 6.0000 1.0000 8.0000 71 0.720 1.0000

4.0000 0.9863 6.0000 0.9863 8.0000 72 0.730 0.9863

4.0000 0.9730 6.0000 0.9730 8.0000 73 0.740 0.9730

4.0000 0.9600 6.0000 0.9600 8.0000 74 0.750 0.9600

4.0000 0.9474 6.0000 0.9474 8.0000 75 0.760 0.9474

4.0000 0.9351 6.0000 0.9351 8.0000 76 0.770 0.9351

4.0000 0.9231 6.0000 0.9231 8.0000 77 0.780 0.9231

4.0000 0.9114 6.0000 0.9114 8.0000 78 0.790 0.9114

4.0000 0.9000 6.0000 0.9000 8.0000 79 0.800 0.9000

4.0000 0.8889 6.0000 0.8889 8.0000 80 0.810 0.8889

4.0000 0.8780 6.0000 0.8780 8.0000 81 0.820 0.8780

4.0000 0.8675 6.0000 0.8675 8.0000 82 0.830 0.8675

4.0000 0.8571 6.0000 0.8571 8.0000 83 0.840 0.8571

4.0000 0.8471 6.0000 0.8471 8.0000 84 0.850 0.8471

Page 85: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

4.0000 0.8372 6.0000 0.8372 8.0000 85 0.860 0.8372

4.0000 0.8276 6.0000 0.8276 8.0000 86 0.870 0.8276

4.0000 0.8182 6.0000 0.8182 8.0000 87 0.880 0.8182

4.0000 0.8090 6.0000 0.8090 8.0000 88 0.890 0.8090

4.0000 0.8000 6.0000 0.8000 8.0000 89 0.900 0.8000

4.0000 0.7912 6.0000 0.7912 8.0000 90 0.910 0.7912

4.0000 0.7826 6.0000 0.7826 8.0000 91 0.920 0.7826

4.0000 0.7742 6.0000 0.7742 8.0000 92 0.930 0.7742

4.0000 0.7660 6.0000 0.7660 8.0000 93 0.940 0.7660

4.0000 0.7579 6.0000 0.7579 8.0000 94 0.950 0.7579

4.0000 0.7500 6.0000 0.7500 8.0000 95 0.960 0.7500

4.0000 0.7423 6.0000 0.7423 8.0000 96 0.970 0.7423

4.0000 0.7347 6.0000 0.7347 8.0000 97 0.980 0.7347

4.0000 0.7273 6.0000 0.7273 8.0000 98 0.990 0.7273

4.0000 0.7200 6.0000 0.7200 8.0000 99 1.000 0.7200

4.0000 0.6545 6.0000 0.6545 8.0000 100 1.100 0.6545

4.0000 0.6000 6.0000 0.6000 8.0000 101 1.200 0.6000

4.0000 0.5538 6.0000 0.5538 8.0000 102 1.300 0.5538

4.0000 0.5143 6.0000 0.5143 8.0000 103 1.400 0.5143

4.0000 0.4800 6.0000 0.4800 8.0000 104 1.500 0.4800

4.0000 0.4500 6.0000 0.4500 8.0000 105 1.600 0.4500

4.0000 0.4235 6.0000 0.4235 8.0000 106 1.700 0.4235

4.0000 0.4000 6.0000 0.4000 8.0000 107 1.800 0.4000

4.0000 0.3789 6.0000 0.3789 8.0000 108 1.900 0.3789

4.0000 0.3600 6.0000 0.3600 8.0000 109 2.000 0.3600

4.0000 0.3429 6.0000 0.3429 8.0000 110 2.100 0.3429

4.0000 0.3273 6.0000 0.3273 8.0000 111 2.200 0.3273

4.0000 0.3130 6.0000 0.3130 8.0000 112 2.300 0.3130

4.0000 0.3000 6.0000 0.3000 8.0000 113 2.400 0.3000

4.0000 0.2880 6.0000 0.2880 8.0000 114 2.500 0.2880

4.0000 0.2769 6.0000 0.2769 8.0000 115 2.600 0.2769

4.0000 0.2667 6.0000 0.2667 8.0000 116 2.700 0.2667

4.0000 0.2571 6.0000 0.2571 8.0000 117 2.800 0.2571

4.0000 0.2483 6.0000 0.2483 8.0000 118 2.900 0.2483

4.0000 0.2400 6.0000 0.2400 8.0000 119 3.000 0.2400

4.0000 0.2323 6.0000 0.2323 8.0000 120 3.100 0.2323

4.0000 0.2250 6.0000 0.2250 8.0000 121 3.200 0.2250

4.0000 0.2182 6.0000 0.2182 8.0000 122 3.300 0.2182

4.0000 0.2118 6.0000 0.2118 8.0000 123 3.400 0.2118

4.0000 0.2057 6.0000 0.2057 8.0000 124 3.500 0.2057

4.0000 0.2000 6.0000 0.2000 8.0000 125 3.600 0.2000

Page 86: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

4.0000 0.1946 6.0000 0.1946 8.0000 126 3.700 0.1946

4.0000 0.1895 6.0000 0.1895 8.0000 127 3.800 0.1895

4.0000 0.1846 6.0000 0.1846 8.0000 128 3.900 0.1846

4.0000 0.1800 6.0000 0.1800 8.0000 129 4.000 0.1800

4.0000 0.1756 6.0000 0.1756 8.0000 130 4.100 0.1756

4.0000 0.1748 6.0000 0.1748 8.0000 131 4.120 0.1748

4.0000 0.1719 6.0000 0.1719 8.0000 132 4.150 0.1719

4.0000 0.1678 6.0000 0.1678 8.0000 133 4.200 0.1678

4.0000 0.1601 6.0000 0.1601 8.0000 134 4.300 0.1601

4.0000 0.1529 6.0000 0.1529 8.0000 135 4.400 0.1529

4.0000 0.1462 6.0000 0.1462 8.0000 136 4.500 0.1462

4.0000 0.1399 6.0000 0.1399 8.0000 137 4.600 0.1399

4.0000 0.1340 6.0000 0.1340 8.0000 138 4.700 0.1340

4.0000 0.1285 6.0000 0.1285 8.0000 139 4.800 0.1285

4.0000 0.1233 6.0000 0.1233 8.0000 140 4.900 0.1233

4.0000 0.1184 6.0000 0.1184 8.0000 141 5.000 0.1184

4.0000 0.0979 6.0000 0.0979 8.0000 142 5.500 0.0979

4.0000 0.0822 6.0000 0.0822 8.0000 143 6.000 0.0822

4.0000 0.0296 6.0000 0.0296 8.0000 144 10.000 0.0296

4.0000 0.0245 6.0000 0.0245 8.0000 145 11.000 0.0245

4.0000 0.0074 6.0000 0.0074 8.0000 146 20.000 0.0074

4.0000 0.0047 6.0000 0.0047 8.0000 147 25.000 0.0047

NoPeriod (s) 1

1 0.010 0.0010

2 0.020 0.0040

3 0.030 0.0089

4 0.033 0.0108

5 0.0334 0.0119

6 0.0335 0.0119

7 0.0336 0.0120

8 0.0337 0.0121

9 0.0338 0.0122

10 0.125 0.4203

m = 1.0

Page 87: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

11 0.130 0.4546

12 0.140 0.5273

13 0.150 0.6053

14 0.160 0.6887

15 0.170 0.7775

16 0.180 0.8716

17 0.190 0.9712

18 0.200 1.0761

19 0.210 1.1864

20 0.220 1.3020

21 0.230 1.4231

22 0.240 1.5495

23 0.250 1.6814

24 0.260 1.8186

25 0.270 1.9611

26 0.280 2.1091

27 0.290 2.2624

28 0.300 2.4212

29 0.310 2.5853

30 0.320 2.7547

31 0.330 2.9296

32 0.340 3.1098

33 0.350 3.2955

34 0.360 3.4865

35 0.370 3.6828

36 0.380 3.8846

37 0.390 4.0917

38 0.400 4.304339 0.410 4.522240 0.420 4.745541 0.430 4.974142 0.440 5.208243 0.450 5.447644 0.460 5.692445 0.470 5.942646 0.480 6.198247 0.490 6.459148 0.500 6.725449 0.510 6.997150 0.520 7.274251 0.530 7.556752 0.540 7.844553 0.550 8.137854 0.560 8.4364

Page 88: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

55 0.570 8.740456 0.580 9.049757 0.590 9.364558 0.600 9.684659 0.610 10.010160 0.620 10.341061 0.630 10.677362 0.640 11.018963 0.650 11.366064 0.660 11.7184

65 0.667 11.968366 0.670 11.987267 0.680 12.166168 0.690 12.345069 0.700 12.523970 0.710 12.702871 0.720 12.881772 0.730 13.060673 0.740 13.239674 0.750 13.418575 0.760 13.597476 0.770 13.776377 0.780 13.955278 0.790 14.134179 0.800 14.313080 0.810 14.491981 0.820 14.670982 0.830 14.849883 0.840 15.028784 0.850 15.207685 0.860 15.386586 0.870 15.565487 0.880 15.744388 0.890 15.923389 0.900 16.102290 0.910 16.281191 0.920 16.460092 0.930 16.638993 0.940 16.817894 0.950 16.996795 0.960 17.175696 0.970 17.354697 0.980 17.533598 0.990 17.712499 1.000 17.8913

100 1.100 19.6804101 1.200 21.4696102 1.300 23.2587

Page 89: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

103 1.400 25.0478104 1.500 26.8369105 1.600 28.6261106 1.700 30.4152107 1.800 32.2043108 1.900 33.9935109 2.000 35.7826110 2.100 37.5717111 2.200 39.3608112 2.300 41.1500113 2.400 42.9391114 2.500 44.7282115 2.600 46.5174116 2.700 48.3065117 2.800 50.0956118 2.900 51.8848119 3.000 53.6739120 3.100 55.4630121 3.200 57.2521122 3.300 59.0413123 3.400 60.8304124 3.500 62.6195125 3.600 64.4087126 3.700 66.1978127 3.800 67.9869128 3.900 69.7760129 4.000 71.5652130 4.100 73.3543

131 4.120 73.7121132 4.150 73.5531133 4.200 73.5531134 4.300 73.5531135 4.400 73.5531136 4.500 73.5531137 4.600 73.5531138 4.700 73.5531139 4.800 73.5531140 4.900 73.5531141 5.000 73.5531142 5.500 73.5531143 6.000 73.5531

144 10.000 73.5531145 11.000 73.5531146 20.000 73.5531147 25.000 73.5531

Page 90: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

8.5 9 9.5 10 10.52.92 3.00 3.08 3.16 3.24

2.49 2.54 2.58 2.63 2.67

2.20 2.24 2.27 2.29 2.32

1.84 1.86 1.88 1.89 1.90

Page 91: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

8.5 9 9.5 10 10.50.56 0.57 0.57 0.57 0.58

0.37 0.37 0.37 0.36 0.36

0.28 0.28 0.27 0.26 0.26

0.17 0.17 0.16 0.16 0.15

Page 92: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

PBA 0.4g

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 5.5 6.00.0

0.2

0.4

0.6

0.8

1.0

1.2

Spektra Respons Percepatan (ARS) Desain, x = 5%, PBA = 0.40g

Perioda Tn (detik)

Pseudo-A

ccellera

tion S

pectr

a (

g)

Page 93: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

7.071068

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 5.5 6.00.0

0.2

0.4

0.6

0.8

1.0

1.2

Spektra Respons Percepatan (ARS) Desain, x = 5%, PBA = 0.40g

Perioda Tn (detik)

Pseudo-A

ccellera

tion S

pectr

a (

g)

Page 94: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

PGA = 0.4g (ARS)

Page 95: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

Displasemen 0.4gPBA 0.4g

PGA = 0.4g (ARS)

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 5.5 6.00.0

20.0

40.0

60.0

80.0

Spektra Respons Displasemen (DRS) Desain,x = 5%, PBA = 0.40g

Perioda Tn (detik)

Dis

pla

sem

en, cm

Page 96: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 5.5 6.00.0

20.0

40.0

60.0

80.0

Spektra Respons Displasemen (DRS) Desain,x = 5%, PBA = 0.40g

Perioda Tn (detik)

Dis

pla

sem

en, cm

Page 97: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

Inelastik Spektra, PGA=0.4g1.5 2 4 6 8

0.4000 0.4000 0.4000 0.4000 0.4000

0.4000 0.4000 0.4000 0.4000 0.4000

m = 1.5 m = 2.0 m = 4.0 m = 6.0 m = 8.0

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 5.5 6.00.0

0.2

0.4

0.6

0.8

1.0

1.2

Spektra Respons Percepatan (ARS) Inelastik,x = 5%, PBA = 0.40g

= m1.0 = m

1.5 = m

2.0 = m

4.0 = m

6.0

Perioda Tn (detik)

Pse

ud

o A

cce

lle

rati

on

Sp

ectr

a (

g)

Page 98: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

0.4000 0.4000 0.4000 0.4000 0.4000

0.4000 0.4000 0.4000 0.4000 0.4000

0.3920 0.3727 0.3352 0.3168 0.3048

0.3929 0.3735 0.3359 0.3175 0.3054

0.3937 0.3742 0.3366 0.3181 0.3060

0.3945 0.3750 0.3373 0.3188 0.3067

0.3953 0.3758 0.3380 0.3195 0.3073

0.7655 0.6250 0.4092 0.3264 0.2795

0.7655 0.6250 0.4092 0.3264 0.2795

0.7655 0.6250 0.4092 0.3264 0.2795

0.7655 0.6250 0.4092 0.3264 0.2795

0.7655 0.6250 0.4092 0.3264 0.2795

0.7655 0.6250 0.4092 0.3264 0.2795

0.7655 0.6250 0.4092 0.3264 0.2795

0.7655 0.6250 0.4092 0.3264 0.2795

0.7655 0.6250 0.4092 0.3264 0.2795

0.7655 0.6250 0.4092 0.3264 0.2795

0.7655 0.6250 0.4092 0.3264 0.2795

0.7655 0.6250 0.4092 0.3264 0.2795

0.7655 0.6250 0.4092 0.3264 0.2795

0.7655 0.6250 0.4092 0.3264 0.2795

0.7655 0.6250 0.4092 0.3264 0.2795

0.7655 0.6250 0.4092 0.3264 0.2795

0.7655 0.6250 0.4092 0.3264 0.2795

0.7655 0.6250 0.4092 0.3264 0.2795

0.7655 0.6250 0.4092 0.3264 0.2795

0.7655 0.6250 0.4092 0.3264 0.2795

0.7655 0.6250 0.4092 0.3264 0.2795

0.7655 0.6250 0.4092 0.3264 0.2735

0.7655 0.6250 0.4092 0.3264 0.2655

0.7655 0.6250 0.4092 0.3264 0.2579

0.7655 0.6250 0.4092 0.3264 0.2507

0.7655 0.6250 0.4092 0.3253 0.2440

0.7655 0.6250 0.4092 0.3167 0.2375

0.7655 0.6250 0.4092 0.3086 0.2314

0.7655 0.6250 0.4092 0.3009 0.2257

0.7655 0.6250 0.4092 0.2935 0.2202

0.7655 0.6250 0.4092 0.2865 0.2149

0.7655 0.6250 0.4092 0.2799 0.2099

0.7655 0.6250 0.4092 0.2735 0.2051

0.7655 0.6250 0.4012 0.2674 0.2006

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 5.5 6.00.0

0.2

0.4

0.6

0.8

1.0

1.2

Spektra Respons Percepatan (ARS) Inelastik,x = 5%, PBA = 0.40g

= m1.0 = m

1.5 = m

2.0 = m

4.0 = m

6.0

Perioda Tn (detik)

Pse

ud

o A

cce

lle

rati

on

Sp

ectr

a (

g)

Page 99: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

0.7655 0.6250 0.3924 0.2616 0.1962

0.7655 0.6250 0.3841 0.2561 0.1920

0.7655 0.6250 0.3761 0.2507 0.1880

0.7655 0.6250 0.3684 0.2456 0.1842

0.7655 0.6250 0.3610 0.2407 0.1805

0.7655 0.6250 0.3540 0.2360 0.1770

0.7655 0.6250 0.3472 0.2314 0.1736

0.7655 0.6250 0.3406 0.2271 0.1703

0.7655 0.6250 0.3343 0.2229 0.1672

0.7655 0.6250 0.3282 0.2188 0.1641

0.7655 0.6250 0.3224 0.2149 0.1612

0.7655 0.6250 0.3167 0.2111 0.1584

0.7655 0.6250 0.3112 0.2075 0.1556

0.7655 0.6119 0.3060 0.2040 0.1530

0.7655 0.6017 0.3009 0.2006 0.1504

0.7655 0.5919 0.2959 0.1973 0.1480

0.7655 0.5823 0.2912 0.1941 0.1456

0.7641 0.5731 0.2865 0.1910 0.1433

0.7522 0.5641 0.2821 0.1880 0.1410

0.7406 0.5555 0.2777 0.1852 0.1389

0.7294 0.5470 0.2735 0.1823 0.1368

0.7217 0.5413 0.2707 0.1804 0.1353

0.7164 0.5373 0.2687 0.1791 0.1343

0.7059 0.5294 0.2647 0.1765 0.1324

0.6957 0.5217 0.2609 0.1739 0.1304

0.6857 0.5143 0.2571 0.1714 0.1286

0.6761 0.5070 0.2535 0.1690 0.1268

0.6667 0.5000 0.2500 0.1667 0.1250

0.6575 0.4932 0.2466 0.1644 0.1233

0.6486 0.4865 0.2432 0.1622 0.1216

0.6400 0.4800 0.2400 0.1600 0.1200

0.6316 0.4737 0.2368 0.1579 0.1184

0.6234 0.4675 0.2338 0.1558 0.1169

0.6154 0.4615 0.2308 0.1538 0.1154

0.6076 0.4557 0.2278 0.1519 0.1139

0.6000 0.4500 0.2250 0.1500 0.1125

0.5926 0.4444 0.2222 0.1481 0.1111

0.5854 0.4390 0.2195 0.1463 0.1098

0.5783 0.4337 0.2169 0.1446 0.1084

0.5714 0.4286 0.2143 0.1429 0.1071

0.5647 0.4235 0.2118 0.1412 0.1059

Page 100: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

0.5581 0.4186 0.2093 0.1395 0.1047

0.5517 0.4138 0.2069 0.1379 0.1034

0.5455 0.4091 0.2045 0.1364 0.1023

0.5393 0.4045 0.2022 0.1348 0.1011

0.5333 0.4000 0.2000 0.1333 0.1000

0.5275 0.3956 0.1978 0.1319 0.0989

0.5217 0.3913 0.1957 0.1304 0.0978

0.5161 0.3871 0.1935 0.1290 0.0968

0.5106 0.3830 0.1915 0.1277 0.0957

0.5053 0.3789 0.1895 0.1263 0.0947

0.5000 0.3750 0.1875 0.1250 0.0938

0.4948 0.3711 0.1856 0.1237 0.0928

0.4898 0.3673 0.1837 0.1224 0.0918

0.4848 0.3636 0.1818 0.1212 0.0909

0.4800 0.3600 0.1800 0.1200 0.0900

0.4364 0.3273 0.1636 0.1091 0.0818

0.4000 0.3000 0.1500 0.1000 0.0750

0.3692 0.2769 0.1385 0.0923 0.0692

0.3429 0.2571 0.1286 0.0857 0.0643

0.3200 0.2400 0.1200 0.0800 0.0600

0.3000 0.2250 0.1125 0.0750 0.0563

0.2824 0.2118 0.1059 0.0706 0.0529

0.2667 0.2000 0.1000 0.0667 0.0500

0.2526 0.1895 0.0947 0.0632 0.0474

0.2400 0.1800 0.0900 0.0600 0.0450

0.2286 0.1714 0.0857 0.0571 0.0429

0.2182 0.1636 0.0818 0.0545 0.0409

0.2087 0.1565 0.0783 0.0522 0.0391

0.2000 0.1500 0.0750 0.0500 0.0375

0.1920 0.1440 0.0720 0.0480 0.0360

0.1846 0.1385 0.0692 0.0462 0.0346

0.1778 0.1333 0.0667 0.0444 0.0333

0.1714 0.1286 0.0643 0.0429 0.0321

0.1655 0.1241 0.0621 0.0414 0.0310

0.1600 0.1200 0.0600 0.0400 0.0300

0.1548 0.1161 0.0581 0.0387 0.0290

0.1500 0.1125 0.0563 0.0375 0.0281

0.1455 0.1091 0.0545 0.0364 0.0273

0.1412 0.1059 0.0529 0.0353 0.0265

0.1371 0.1029 0.0514 0.0343 0.0257

0.1333 0.1000 0.0500 0.0333 0.0250

Page 101: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

0.1297 0.0973 0.0486 0.0324 0.0243

0.1263 0.0947 0.0474 0.0316 0.0237

0.1231 0.0923 0.0462 0.0308 0.0231

0.1200 0.0900 0.0450 0.0300 0.0225

0.1171 0.0878 0.0439 0.0293 0.0220

0.1165 0.0874 0.0437 0.0291 0.0218

0.1146 0.0859 0.0430 0.0286 0.0215

0.1119 0.0839 0.0420 0.0280 0.0210

0.1067 0.0800 0.0400 0.0267 0.0200

0.1019 0.0764 0.0382 0.0255 0.0191

0.0974 0.0731 0.0365 0.0244 0.0183

0.0933 0.0699 0.0350 0.0233 0.0175

0.0893 0.0670 0.0335 0.0223 0.0167

0.0856 0.0642 0.0321 0.0214 0.0161

0.0822 0.0616 0.0308 0.0205 0.0154

0.0789 0.0592 0.0296 0.0197 0.0148

0.0652 0.0489 0.0245 0.0163 0.0122

0.0548 0.0411 0.0206 0.0137 0.0103

0.0197 0.0148 0.0074 0.0049 0.0037

0.0163 0.0122 0.0061 0.0041 0.0031

0.0049 0.0037 0.0019 0.0012 0.0009

0.0032 0.0024 0.0012 0.0008 0.0006

1.5 2 4 6 8

0.0015 0.0020 0.0040 0.0060 0.0080

0.0060 0.0080 0.0159 0.0239 0.0318

0.0134 0.0179 0.0358 0.0537 0.0716

0.0162 0.0216 0.0433 0.0649 0.0866

0.0163 0.0207 0.0372 0.0527 0.0676

0.0164 0.0208 0.0375 0.0531 0.0681

0.0166 0.0210 0.0378 0.0535 0.0687

0.0167 0.0212 0.0381 0.0540 0.0692

0.0168 0.0213 0.0384 0.0544 0.0698

0.4458 0.4854 0.6355 0.7604 0.8682

m = 1.5 m = 2.0 m = 4.0 m = 6.0 m = 8.0

0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.70.0

1.0

2.0

3.0

4.0

5.0

6.0

7.0

8.0

9.0

10.0

11.0

12.0

13.0

14.0

15.0

Spektra Respons Deformasi (DRS) Inelastik,x = 5%, PBA = 0.40g

= m1.0 = m

1.5 = m

2.0 = m

4.0

Perioda Ti (detik)

Dis

pla

sem

en

, cm

Page 102: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

0.4822 0.5250 0.6873 0.8225 0.9391

0.5593 0.6088 0.7972 0.9539 1.0891

0.6420 0.6989 0.9151 1.0950 1.2503

0.7305 0.7952 1.0412 1.2459 1.4225

0.8246 0.8977 1.1754 1.4065 1.6059

0.9245 1.0065 1.3178 1.5768 1.8004

1.0301 1.1214 1.4682 1.7569 2.0060

1.1413 1.2425 1.6269 1.9467 2.2227

1.2583 1.3699 1.7936 2.1462 2.4505

1.3810 1.5035 1.9685 2.3555 2.6895

1.5094 1.6433 2.1515 2.5745 2.9395

1.6435 1.7893 2.3427 2.8032 3.2007

1.7833 1.9415 2.5420 3.0417 3.4730

1.9289 2.0999 2.7494 3.2899 3.7564

2.0801 2.2645 2.9650 3.5478 4.0509

2.2370 2.4354 3.1886 3.8155 4.3565

2.3997 2.6124 3.4205 4.0929 4.6733

2.5680 2.7957 3.6604 4.3800 5.0011

2.7421 2.9852 3.9085 4.6769 5.3401

2.9218 3.1809 4.1648 4.9835 5.6902

3.1073 3.3828 4.4291 5.2998 5.9213

3.2985 3.5909 4.7016 5.6259 6.1008

3.4954 3.8053 4.9823 5.9617 6.2802

3.6980 4.0258 5.2710 6.3072 6.4596

3.9062 4.2526 5.5679 6.6391 6.6391

4.1202 4.4856 5.8730 6.8185 6.8185

4.3400 4.7247 6.1861 6.9979 6.9979

4.5654 4.9701 6.5074 7.1774 7.17744.7965 5.2218 6.8369 7.3568 7.35685.0333 5.4796 7.1745 7.5362 7.53625.2759 5.7436 7.5202 7.7157 7.71575.5241 6.0139 7.8740 7.8951 7.89515.7780 6.2903 8.0745 8.0745 8.07456.0377 6.5730 8.2540 8.2540 8.25406.3031 6.8619 8.4334 8.4334 8.43346.5741 7.1570 8.6128 8.6128 8.61286.8509 7.4583 8.7923 8.7923 8.79237.1334 7.7659 8.9717 8.9717 8.97177.4216 8.0796 9.1512 9.1512 9.15127.7155 8.3995 9.3306 9.3306 9.33068.0151 8.7257 9.5100 9.5100 9.51008.3204 9.0581 9.6895 9.6895 9.68958.6314 9.3967 9.8689 9.8689 9.86898.9481 9.7415 10.0483 10.0483 10.0483

0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.70.0

1.0

2.0

3.0

4.0

5.0

6.0

7.0

8.0

9.0

10.0

11.0

12.0

13.0

14.0

15.0

Spektra Respons Deformasi (DRS) Inelastik,x = 5%, PBA = 0.40g

= m1.0 = m

1.5 = m

2.0 = m

4.0

Perioda Ti (detik)

Dis

pla

sem

en

, cm

Page 103: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

9.2706 10.0925 10.2278 10.2278 10.22789.5987 10.4497 10.4072 10.4072 10.40729.9325 10.5866 10.5866 10.5866 10.5866

10.2721 10.7661 10.7661 10.7661 10.766110.6173 10.9455 10.9455 10.9455 10.945510.9683 11.1249 11.1249 11.1249 11.124911.3044 11.3044 11.3044 11.3044 11.304411.4838 11.4838 11.4838 11.4838 11.483811.6632 11.6632 11.6632 11.6632 11.663211.8427 11.8427 11.8427 11.8427 11.8427

11.9683 11.9683 11.9683 11.9683 11.968311.9872 11.9872 11.9872 11.9872 11.987212.1661 12.1661 12.1661 12.1661 12.166112.3450 12.3450 12.3450 12.3450 12.345012.5239 12.5239 12.5239 12.5239 12.523912.7028 12.7028 12.7028 12.7028 12.702812.8817 12.8817 12.8817 12.8817 12.881713.0606 13.0606 13.0606 13.0606 13.060613.2396 13.2396 13.2396 13.2396 13.239613.4185 13.4185 13.4185 13.4185 13.418513.5974 13.5974 13.5974 13.5974 13.597413.7763 13.7763 13.7763 13.7763 13.776313.9552 13.9552 13.9552 13.9552 13.955214.1341 14.1341 14.1341 14.1341 14.134114.3130 14.3130 14.3130 14.3130 14.313014.4919 14.4919 14.4919 14.4919 14.491914.6709 14.6709 14.6709 14.6709 14.670914.8498 14.8498 14.8498 14.8498 14.849815.0287 15.0287 15.0287 15.0287 15.028715.2076 15.2076 15.2076 15.2076 15.207615.3865 15.3865 15.3865 15.3865 15.386515.5654 15.5654 15.5654 15.5654 15.565415.7443 15.7443 15.7443 15.7443 15.744315.9233 15.9233 15.9233 15.9233 15.923316.1022 16.1022 16.1022 16.1022 16.102216.2811 16.2811 16.2811 16.2811 16.281116.4600 16.4600 16.4600 16.4600 16.460016.6389 16.6389 16.6389 16.6389 16.638916.8178 16.8178 16.8178 16.8178 16.817816.9967 16.9967 16.9967 16.9967 16.996717.1756 17.1756 17.1756 17.1756 17.175617.3546 17.3546 17.3546 17.3546 17.354617.5335 17.5335 17.5335 17.5335 17.533517.7124 17.7124 17.7124 17.7124 17.712417.8913 17.8913 17.8913 17.8913 17.891319.6804 19.6804 19.6804 19.6804 19.680421.4696 21.4696 21.4696 21.4696 21.469623.2587 23.2587 23.2587 23.2587 23.2587

Page 104: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

25.0478 25.0478 25.0478 25.0478 25.047826.8369 26.8369 26.8369 26.8369 26.836928.6261 28.6261 28.6261 28.6261 28.626130.4152 30.4152 30.4152 30.4152 30.415232.2043 32.2043 32.2043 32.2043 32.204333.9935 33.9935 33.9935 33.9935 33.993535.7826 35.7826 35.7826 35.7826 35.782637.5717 37.5717 37.5717 37.5717 37.571739.3608 39.3608 39.3608 39.3608 39.360841.1500 41.1500 41.1500 41.1500 41.150042.9391 42.9391 42.9391 42.9391 42.939144.7282 44.7282 44.7282 44.7282 44.728246.5174 46.5174 46.5174 46.5174 46.517448.3065 48.3065 48.3065 48.3065 48.306550.0956 50.0956 50.0956 50.0956 50.095651.8848 51.8848 51.8848 51.8848 51.884853.6739 53.6739 53.6739 53.6739 53.673955.4630 55.4630 55.4630 55.4630 55.463057.2521 57.2521 57.2521 57.2521 57.252159.0413 59.0413 59.0413 59.0413 59.041360.8304 60.8304 60.8304 60.8304 60.830462.6195 62.6195 62.6195 62.6195 62.619564.4087 64.4087 64.4087 64.4087 64.408766.1978 66.1978 66.1978 66.1978 66.197867.9869 67.9869 67.9869 67.9869 67.986969.7760 69.7760 69.7760 69.7760 69.776071.5652 71.5652 71.5652 71.5652 71.565273.3543 73.3543 73.3543 73.3543 73.3543

73.7121 73.7121 73.7121 73.7121 73.712173.5531 73.5531 73.5531 73.5531 73.553173.5531 73.5531 73.5531 73.5531 73.553173.5531 73.5531 73.5531 73.5531 73.553173.5531 73.5531 73.5531 73.5531 73.553173.5531 73.5531 73.5531 73.5531 73.553173.5531 73.5531 73.5531 73.5531 73.553173.5531 73.5531 73.5531 73.5531 73.553173.5531 73.5531 73.5531 73.5531 73.553173.5531 73.5531 73.5531 73.5531 73.553173.5531 73.5531 73.5531 73.5531 73.553173.5531 73.5531 73.5531 73.5531 73.553173.5531 73.5531 73.5531 73.5531 73.5531

73.5531 73.5531 73.5531 73.5531 73.553173.5531 73.5531 73.5531 73.5531 73.553173.5531 73.5531 73.5531 73.5531 73.553173.5531 73.5531 73.5531 73.5531 73.5531

Page 105: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]
Page 106: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 5.5 6.00.0

0.2

0.4

0.6

0.8

1.0

1.2

Spektra Respons Percepatan (ARS) Desain, x = 5%, PBA = 0.40g

Perioda Tn (detik)

Pseudo-A

ccellera

tion S

pectr

a (

g)

Page 107: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 5.5 6.00.0

0.2

0.4

0.6

0.8

1.0

1.2

Spektra Respons Percepatan (ARS) Desain, x = 5%, PBA = 0.40g

Perioda Tn (detik)

Pseudo-A

ccellera

tion S

pectr

a (

g)

Page 108: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

Elastic Pseudo-Accelleration Design Spectrum

PGA = 0.4g

Page 109: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

Displasemen 0.4g

PGA = 0.4g

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 5.5 6.00.0

20.0

40.0

60.0

80.0

Spektra Respons Displasemen (DRS) Desain,x = 5%, PBA = 0.40g

Perioda Tn (detik)

Dis

pla

sem

en, cm

Page 110: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 5.5 6.00.0

20.0

40.0

60.0

80.0

Spektra Respons Displasemen (DRS) Desain,x = 5%, PBA = 0.40g

Perioda Tn (detik)

Dis

pla

sem

en, cm

Page 111: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

Inelastik Spektra, PGA=0.4g

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 5.5 6.00.0

0.2

0.4

0.6

0.8

1.0

1.2

Spektra Respons Percepatan (ARS) Inelastik,x = 5%, PBA = 0.40g

= m1.0 = m

1.5 = m

2.0 = m

4.0 = m

6.0

Perioda Tn (detik)

Pse

ud

o A

cce

lle

rati

on

Sp

ectr

a (

g)

Page 112: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 5.5 6.00.0

0.2

0.4

0.6

0.8

1.0

1.2

Spektra Respons Percepatan (ARS) Inelastik,x = 5%, PBA = 0.40g

= m1.0 = m

1.5 = m

2.0 = m

4.0 = m

6.0

Perioda Tn (detik)

Pse

ud

o A

cce

lle

rati

on

Sp

ectr

a (

g)

Page 113: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.70.0

1.0

2.0

3.0

4.0

5.0

6.0

7.0

8.0

9.0

10.0

11.0

12.0

13.0

14.0

15.0

Spektra Respons Deformasi (DRS) Inelastik,x = 5%, PBA = 0.40g

= m1.0 = m

1.5 = m

2.0 = m

4.0

Perioda Ti (detik)

Dis

pla

sem

en

, cm

Page 114: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

9.192388

7.353911

0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.70.0

1.0

2.0

3.0

4.0

5.0

6.0

7.0

8.0

9.0

10.0

11.0

12.0

13.0

14.0

15.0

Spektra Respons Deformasi (DRS) Inelastik,x = 5%, PBA = 0.40g

= m1.0 = m

1.5 = m

2.0 = m

4.0

Perioda Ti (detik)

Dis

pla

sem

en

, cm

Page 115: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

Elastic Pseudo-Accelleration Design Spectrum

Page 116: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

Inelastik Spektra, PGA=0.4g

Page 117: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

Inelastic Design Spectra (IDS)_Prof. A.K. Chopra1. Equivalent Linear System (Rosenblueth, Herrera, Chopra)2. Elastic Design Spectrum (Newmark, Hall)3. Inelastic Design Spectrum (Newmark, Hall)4. Metoda IDS (Inelastic Design Spectra)

A. Variasi perioda dan redaman viskos sistem linear ekivalen dengan duktilitas

0 0.5 1 1.5 2 2.5 3 3.5a = 0.00 1.00 1.00 1.00 1.22 1.41 1.58 1.73 1.87

a = 0.05 1.00 1.00 1.00 1.21 1.38 1.52 1.65 1.76

a = 0.10 1.00 1.00 1.00 1.20 1.35 1.47 1.58 1.67

a = 0.20 1.00 1.00 1.00 1.17 1.29 1.39 1.46 1.53

a

1. Hubungan perioda untuk sistem linear ekivalen dengan duktilitas

Fa

kto

r ke

kaku

an

p

asc

a-lu

luh

, a

Faktor Duktilitas Struktur, m

0 1 2 3 4 5 6 7 8 9 100.00

0.50

1.00

1.50

2.00

2.50

3.00

3.50

Variasi Perioda terhadap Faktor Duktilitas

= a0.00 = a

0.05 = a

0.10

Faktor Duktilitas, m

Te

q :

Tn

Page 118: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

0 0.5 1 1.5 2 2.5 3 3.5a = 0.00 0.00 0.00 0.00 0.21 0.32 0.38 0.42 0.45

a = 0.05 0.00 0.00 0.00 0.19 0.27 0.32 0.35 0.37

a = 0.10 0.00 0.00 0.00 0.17 0.25 0.29 0.31 0.31

a = 0.20 0.00 0.00 0.00 0.14 0.20 0.22 0.23 0.23

2. Hubungan redaman viskos ekivalen pada sistem linear ekivalen dengan duktilitas

Fa

kto

r ke

kaku

an

p

asc

a-lu

luh

, a

Faktor Duktilitas Struktur, m

0 1 2 3 4 5 6 7 8 9 100.00

0.50

1.00

1.50

2.00

2.50

3.00

3.50

Variasi Perioda terhadap Faktor Duktilitas

= a0.00 = a

0.05 = a

0.10

Faktor Duktilitas, m

Te

q :

Tn

0.00

0.10

0.20

0.30

0.40

0.50

0.60

0.70

Variasi Redaman Viskos Ekivalen terhadap Faktor Duktilitas

= a0.00 = a

0.05 = a

0.10

Faktor Duktilitas, m

Re

da

ma

n v

isko

s e

kiv

ale

n, xe

q

Page 119: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

B. Elastic Design Spectrum

Nilai-nilai maksimum spektra tripartie Newmark-Hall

x (%) A

2.00 3.66 2.92 2.42 1.0g

3.00 3.24 2.64 2.24 981 cm/s2

5.00 2.71 2.30 2.01

10.00 1.99 1.84 1.69

23.34 1.10 1.27 1.31

NoPBA 1.0g

1 0.010 1.00002 0.020 1.00003 0.030 1.0000

4 0.033 1.00005 0.0334 1.06886 0.0335 1.07117 0.0336 1.07338 0.0337 1.07569 0.0338 1.0778

10 0.125 2.706511 0.130 2.706512 0.140 2.706513 0.150 2.706514 0.160 2.706515 0.170 2.706516 0.180 2.706517 0.190 2.706518 0.200 2.706519 0.210 2.706520 0.220 2.706521 0.230 2.706522 0.240 2.706523 0.250 2.706524 0.260 2.706525 0.270 2.7065

1. Faktor Amplifikasi Spektrum Percepatan,

Kecepatan dan Displasemen vs Redaman Redaman x = 5%

aA aV aD

2. Elastic Pseudo-Accelleration Design Spectrum (Newmark-Hall Procedure)

Tabel Respons Spektra Percepatan Elastik, x = x0 = 5%

Period (s) (m=1)

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 5.5 6.00.0

0.5

1.0

1.5

2.0

2.5

3.0

Pseudo Respons Percepatan Elastik Newmark-Hall (x=5%) Profil Tanah Keras (Tipe B), PBA = 1.0g, m=1

Perioda Tn (detik)

Pseudo-A

ccellera

tion S

pectr

a (

g)

Page 120: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

26 0.280 2.706527 0.290 2.706528 0.300 2.706529 0.310 2.706530 0.320 2.706531 0.330 2.706532 0.340 2.706533 0.350 2.706534 0.360 2.706535 0.370 2.706536 0.380 2.706537 0.390 2.706538 0.400 2.706539 0.410 2.706540 0.420 2.706541 0.430 2.706542 0.440 2.706543 0.450 2.706544 0.460 2.706545 0.470 2.706546 0.480 2.706547 0.490 2.706548 0.500 2.706549 0.510 2.706550 0.520 2.706551 0.530 2.706552 0.540 2.706553 0.550 2.706554 0.560 2.706555 0.570 2.706556 0.580 2.706557 0.590 2.706558 0.600 2.706559 0.610 2.706560 0.620 2.706561 0.630 2.706562 0.640 2.706563 0.650 2.706564 0.660 2.7065

65 0.667 2.706566 0.670 2.686667 0.680 2.647168 0.690 2.608769 0.700 2.571470 0.710 2.535271 0.720 2.500072 0.730 2.4658

0.736 2.4457

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 5.5 6.00.0

0.5

1.0

1.5

2.0

2.5

3.0

Pseudo Respons Percepatan Elastik Newmark-Hall (x=5%) Profil Tanah Keras (Tipe B), PBA = 1.0g, m=1

Perioda Tn (detik)

Pseudo-A

ccellera

tion S

pectr

a (

g)

Page 121: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

73 0.740 2.432474 0.750 2.400075 0.760 2.368476 0.770 2.337777 0.780 2.307778 0.790 2.278579 0.800 2.2500

0.806 2.233380 0.810 2.222281 0.820 2.195182 0.830 2.168783 0.840 2.142984 0.850 2.117685 0.860 2.093086 0.870 2.069087 0.880 2.045588 0.890 2.022589 0.900 2.000090 0.910 1.978091 0.920 1.956592 0.930 1.935593 0.940 1.914994 0.950 1.894795 0.960 1.8750

96 0.970 1.855797 0.980 1.836798 0.990 1.818299 1.000 1.8000

100 1.100 1.6364101 1.200 1.5000102 1.300 1.3846103 1.400 1.2857104 1.500 1.2000105 1.600 1.1250106 1.700 1.0588107 1.800 1.0000108 1.900 0.9474109 2.000 0.9000110 2.100 0.8571111 2.200 0.8182112 2.300 0.7826113 2.400 0.7500114 2.500 0.7200115 2.600 0.6923116 2.700 0.6667117 2.800 0.6429118 2.900 0.6207119 3.000 0.6000

PGA = 1.0g (ARS)

Page 122: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

120 3.100 0.5806121 3.200 0.5625122 3.300 0.5455123 3.400 0.5294124 3.500 0.5143125 3.600 0.5000126 3.700 0.4865127 3.800 0.4737128 3.900 0.4615129 4.000 0.4500130 4.100 0.4390

131 4.120 0.4369132 4.150 0.4297133 4.200 0.4195134 4.300 0.4002135 4.400 0.3822136 4.500 0.3654137 4.600 0.3497138 4.700 0.3350139 4.800 0.3212140 4.900 0.3082141 5.000 0.2960142 5.500 0.2446143 6.000 0.2056

144 10.000 0.0740145 11.000 0.0612146 20.000 0.0185147 25.000 0.0118

Displasemen 1.0gNo

PBA 1.0g

1 0.010 0.00252 0.020 0.00993 0.030 0.0224

4 0.033 0.02715 0.0334 0.0296

PGA = 1.0g (ARS)

Tabel Respons Spektra Displasemen, x = x0 = 5%

Period (s) (m=1)

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 5.5 6.00.0

25.0

50.0

75.0

100.0

125.0

150.0

175.0

200.0

Elastic Deformation Design Spectrum, x = 5%

Perioda Tn (detik)

Um

, cm

)

Page 123: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

6 0.0335 0.02997 0.0336 0.03018 0.0337 0.03049 0.0338 0.0306

10 0.125 1.050811 0.130 1.136612 0.140 1.318213 0.150 1.513214 0.160 1.721715 0.170 1.943616 0.180 2.179017 0.190 2.427918 0.200 2.690219 0.210 2.965920 0.220 3.255121 0.230 3.557822 0.240 3.873823 0.250 4.203424 0.260 4.546425 0.270 4.902826 0.280 5.272727 0.290 5.656128 0.300 6.052929 0.310 6.463130 0.320 6.886831 0.330 7.324032 0.340 7.774633 0.350 8.238634 0.360 8.716235 0.370 9.207136 0.380 9.711537 0.390 10.229438 0.400 10.760739 0.410 11.305440 0.420 11.863741 0.430 12.435342 0.440 13.020443 0.450 13.619044 0.460 14.231045 0.470 14.856546 0.480 15.495447 0.490 16.147748 0.500 16.813649 0.510 17.492850 0.520 18.185651 0.530 18.891752 0.540 19.611353 0.550 20.3444

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 5.5 6.00.0

25.0

50.0

75.0

100.0

125.0

150.0

175.0

200.0

Elastic Deformation Design Spectrum, x = 5%

Perioda Tn (detik)

Um

, cm

)

Page 124: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

54 0.560 21.090955 0.570 21.850956 0.580 22.624357 0.590 23.411258 0.600 24.211559 0.610 25.025360 0.620 25.852561 0.630 26.693262 0.640 27.547363 0.650 28.414964 0.660 29.2960

65 0.667 29.920766 0.670 29.967967 0.680 30.415268 0.690 30.862569 0.700 31.309870 0.710 31.757071 0.720 32.204372 0.730 32.651673 0.740 33.098974 0.750 33.546275 0.760 33.993576 0.770 34.440777 0.780 34.888078 0.790 35.335379 0.800 35.782680 0.810 36.229981 0.820 36.677282 0.830 37.124483 0.840 37.571784 0.850 38.019085 0.860 38.466386 0.870 38.913687 0.880 39.360888 0.890 39.808189 0.900 40.255490 0.910 40.702791 0.920 41.150092 0.930 41.597393 0.940 42.044594 0.950 42.491895 0.960 42.939196 0.970 43.386497 0.980 43.833798 0.990 44.281099 1.000 44.7282

100 1.100 49.2011101 1.200 53.6739102 1.300 58.1467

Page 125: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

103 1.400 62.6195104 1.500 67.0924105 1.600 71.5652106 1.700 76.0380107 1.800 80.5108108 1.900 84.9836109 2.000 89.4565110 2.100 93.9293111 2.200 98.4021112 2.300 102.8749113 2.400 107.3478114 2.500 111.8206115 2.600 116.2934116 2.700 120.7662117 2.800 125.2391118 2.900 129.7119119 3.000 134.1847120 3.100 138.6575121 3.200 143.1304122 3.300 147.6032123 3.400 152.0760124 3.500 156.5488125 3.600 161.0217126 3.700 165.4945127 3.800 169.9673128 3.900 174.4401129 4.000 178.9129130 4.100 183.3858

131 4.120 184.2803132 4.150 183.8828133 4.200 183.8828134 4.300 183.8828135 4.400 183.8828136 4.500 183.8828137 4.600 183.8828138 4.700 183.8828139 4.800 183.8828140 4.900 183.8828141 5.000 183.8828142 5.500 183.8828143 6.000 183.8828

144 10.000 183.8828145 11.000 183.8828146 20.000 183.8828147 25.000 183.8828

Page 126: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

Parameter Integrasi Dt Spektra Newmark-Hall:

b = 0.25

g = 0.50

Faktor Reduksi Gaya, R

NoPBA 0.4g R PBA 0.4g R PBA 0.4g R PBA 0.4g

1.0 1.5 2.0 4.0Period

(s)

Page 127: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

1 0.010 0.4000 1.0000 0.4000 1.0000 0.4000 1.0000 0.4000

2 0.020 0.4000 1.0000 0.4000 1.0000 0.4000 1.0000 0.4000

3 0.030 0.4000 1.0000 0.4000 1.0000 0.4000 1.0000 0.4000

Ta 4 0.033 0.4000 1.0000 0.4000 1.0000 0.4000 1.0000 0.4000

5 0.0334 0.4275 1.0000 0.4275 1.0905 0.4275 1.1472 0.4275

6 0.0335 0.4284 1.0000 0.4284 1.0905 0.4284 1.1472 0.4284

7 0.0336 0.4293 1.0000 0.4293 1.0905 0.4293 1.1472 0.4293

8 0.0337 0.4302 1.0000 0.4302 1.0905 0.4302 1.1472 0.4302

9 0.0338 0.4311 1.0000 0.4311 1.0905 0.4311 1.1472 0.4311

Tb 10 0.125 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

11 0.130 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

12 0.140 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

13 0.150 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

14 0.160 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

15 0.170 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

16 0.180 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

17 0.190 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

18 0.200 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

19 0.210 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

20 0.220 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

21 0.230 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

22 0.240 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

23 0.250 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

24 0.260 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

25 0.270 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

26 0.280 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

27 0.290 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

28 0.300 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

29 0.310 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

30 0.320 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

Tc8.0 31 0.330 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

32 0.340 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

33 0.350 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

34 0.360 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

Tc6.0 35 0.370 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

36 0.380 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

37 0.390 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

38 0.400 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

39 0.410 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

40 0.420 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

41 0.430 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

Page 128: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

42 0.440 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

Tc4.0 43 0.450 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

44 0.460 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

45 0.470 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

46 0.480 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

47 0.490 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

48 0.500 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

49 0.510 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

50 0.520 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

51 0.530 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

52 0.540 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

53 0.550 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

54 0.560 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

55 0.570 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

56 0.580 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

Tc2.0 57 0.590 1.0826 1.0000 1.0826 1.4142 1.0826 1.7691 1.0826

58 0.600 1.0826 1.0000 1.0826 1.4142 1.0826 1.7991 1.0826

59 0.610 1.0826 1.0000 1.0826 1.4142 1.0826 1.8291 1.0826

60 0.620 1.0826 1.0000 1.0826 1.4142 1.0826 1.8591 1.0826

Tc1.5 61 0.630 1.0826 1.0000 1.0826 1.4168 1.0826 1.8891 1.0826

62 0.640 1.0826 1.0000 1.0826 1.4393 1.0826 1.9190 1.0826

63 0.650 1.0826 1.0000 1.0826 1.4618 1.0826 1.9490 1.0826

64 0.660 1.0826 1.0000 1.0826 1.4843 1.0826 1.9790 1.0826

Tc 65 0.667 1.0826 1.0000 1.0826 1.5000 1.0826 2.0000 1.0826

66 0.670 1.0746 1.0000 1.0746 1.5000 1.0746 2.0000 1.0746

67 0.680 1.0588 1.0000 1.0588 1.5000 1.0588 2.0000 1.0588

68 0.690 1.0435 1.0000 1.0435 1.5000 1.0435 2.0000 1.0435

69 0.700 1.0286 1.0000 1.0286 1.5000 1.0286 2.0000 1.0286

70 0.710 1.0141 1.0000 1.0141 1.5000 1.0141 2.0000 1.0141

71 0.720 1.0000 1.0000 1.0000 1.5000 1.0000 2.0000 1.0000

72 0.730 0.9863 1.0000 0.9863 1.5000 0.9863 2.0000 0.9863

73 0.740 0.9730 1.0000 0.9730 1.5000 0.9730 2.0000 0.9730

74 0.750 0.9600 1.0000 0.9600 1.5000 0.9600 2.0000 0.9600

75 0.760 0.9474 1.0000 0.9474 1.5000 0.9474 2.0000 0.9474

76 0.770 0.9351 1.0000 0.9351 1.5000 0.9351 2.0000 0.9351

77 0.780 0.9231 1.0000 0.9231 1.5000 0.9231 2.0000 0.9231

78 0.790 0.9114 1.0000 0.9114 1.5000 0.9114 2.0000 0.9114

79 0.800 0.9000 1.0000 0.9000 1.5000 0.9000 2.0000 0.9000

80 0.810 0.8889 1.0000 0.8889 1.5000 0.8889 2.0000 0.8889

81 0.820 0.8780 1.0000 0.8780 1.5000 0.8780 2.0000 0.8780

82 0.830 0.8675 1.0000 0.8675 1.5000 0.8675 2.0000 0.8675

Page 129: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

83 0.840 0.8571 1.0000 0.8571 1.5000 0.8571 2.0000 0.8571

84 0.850 0.8471 1.0000 0.8471 1.5000 0.8471 2.0000 0.8471

85 0.860 0.8372 1.0000 0.8372 1.5000 0.8372 2.0000 0.8372

86 0.870 0.8276 1.0000 0.8276 1.5000 0.8276 2.0000 0.8276

87 0.880 0.8182 1.0000 0.8182 1.5000 0.8182 2.0000 0.8182

88 0.890 0.8090 1.0000 0.8090 1.5000 0.8090 2.0000 0.8090

89 0.900 0.8000 1.0000 0.8000 1.5000 0.8000 2.0000 0.8000

90 0.910 0.7912 1.0000 0.7912 1.5000 0.7912 2.0000 0.7912

91 0.920 0.7826 1.0000 0.7826 1.5000 0.7826 2.0000 0.7826

92 0.930 0.7742 1.0000 0.7742 1.5000 0.7742 2.0000 0.7742

93 0.940 0.7660 1.0000 0.7660 1.5000 0.7660 2.0000 0.7660

94 0.950 0.7579 1.0000 0.7579 1.5000 0.7579 2.0000 0.7579

95 0.960 0.7500 1.0000 0.7500 1.5000 0.7500 2.0000 0.7500

96 0.970 0.7423 1.0000 0.7423 1.5000 0.7423 2.0000 0.7423

97 0.980 0.7347 1.0000 0.7347 1.5000 0.7347 2.0000 0.7347

98 0.990 0.7273 1.0000 0.7273 1.5000 0.7273 2.0000 0.7273

99 1.000 0.7200 1.0000 0.7200 1.5000 0.7200 2.0000 0.7200

100 1.100 0.6545 1.0000 0.6545 1.5000 0.6545 2.0000 0.6545

101 1.200 0.6000 1.0000 0.6000 1.5000 0.6000 2.0000 0.6000

102 1.300 0.5538 1.0000 0.5538 1.5000 0.5538 2.0000 0.5538

103 1.400 0.5143 1.0000 0.5143 1.5000 0.5143 2.0000 0.5143

104 1.500 0.4800 1.0000 0.4800 1.5000 0.4800 2.0000 0.4800

105 1.600 0.4500 1.0000 0.4500 1.5000 0.4500 2.0000 0.4500

106 1.700 0.4235 1.0000 0.4235 1.5000 0.4235 2.0000 0.4235

107 1.800 0.4000 1.0000 0.4000 1.5000 0.4000 2.0000 0.4000

108 1.900 0.3789 1.0000 0.3789 1.5000 0.3789 2.0000 0.3789

109 2.000 0.3600 1.0000 0.3600 1.5000 0.3600 2.0000 0.3600

110 2.100 0.3429 1.0000 0.3429 1.5000 0.3429 2.0000 0.3429

111 2.200 0.3273 1.0000 0.3273 1.5000 0.3273 2.0000 0.3273

112 2.300 0.3130 1.0000 0.3130 1.5000 0.3130 2.0000 0.3130

113 2.400 0.3000 1.0000 0.3000 1.5000 0.3000 2.0000 0.3000

114 2.500 0.2880 1.0000 0.2880 1.5000 0.2880 2.0000 0.2880

115 2.600 0.2769 1.0000 0.2769 1.5000 0.2769 2.0000 0.2769

116 2.700 0.2667 1.0000 0.2667 1.5000 0.2667 2.0000 0.2667

117 2.800 0.2571 1.0000 0.2571 1.5000 0.2571 2.0000 0.2571

118 2.900 0.2483 1.0000 0.2483 1.5000 0.2483 2.0000 0.2483

119 3.000 0.2400 1.0000 0.2400 1.5000 0.2400 2.0000 0.2400

120 3.100 0.2323 1.0000 0.2323 1.5000 0.2323 2.0000 0.2323

121 3.200 0.2250 1.0000 0.2250 1.5000 0.2250 2.0000 0.2250

122 3.300 0.2182 1.0000 0.2182 1.5000 0.2182 2.0000 0.2182

123 3.400 0.2118 1.0000 0.2118 1.5000 0.2118 2.0000 0.2118

Page 130: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

124 3.500 0.2057 1.0000 0.2057 1.5000 0.2057 2.0000 0.2057

125 3.600 0.2000 1.0000 0.2000 1.5000 0.2000 2.0000 0.2000

126 3.700 0.1946 1.0000 0.1946 1.5000 0.1946 2.0000 0.1946

127 3.800 0.1895 1.0000 0.1895 1.5000 0.1895 2.0000 0.1895

128 3.900 0.1846 1.0000 0.1846 1.5000 0.1846 2.0000 0.1846

129 4.000 0.1800 1.0000 0.1800 1.5000 0.1800 2.0000 0.1800

130 4.100 0.1756 1.0000 0.1756 1.5000 0.1756 2.0000 0.1756

131 4.120 0.1748 1.0000 0.1748 1.5000 0.1748 2.0000 0.1748

132 4.150 0.1719 1.0000 0.1719 1.5000 0.1719 2.0000 0.1719

133 4.200 0.1678 1.0000 0.1678 1.5000 0.1678 2.0000 0.1678

134 4.300 0.1601 1.0000 0.1601 1.5000 0.1601 2.0000 0.1601

135 4.400 0.1529 1.0000 0.1529 1.5000 0.1529 2.0000 0.1529

136 4.500 0.1462 1.0000 0.1462 1.5000 0.1462 2.0000 0.1462

137 4.600 0.1399 1.0000 0.1399 1.5000 0.1399 2.0000 0.1399

138 4.700 0.1340 1.0000 0.1340 1.5000 0.1340 2.0000 0.1340

139 4.800 0.1285 1.0000 0.1285 1.5000 0.1285 2.0000 0.1285

140 4.900 0.1233 1.0000 0.1233 1.5000 0.1233 2.0000 0.1233

141 5.000 0.1184 1.0000 0.1184 1.5000 0.1184 2.0000 0.1184

142 5.500 0.0979 1.0000 0.0979 1.5000 0.0979 2.0000 0.0979

143 6.000 0.0822 1.0000 0.0822 1.5000 0.0822 2.0000 0.0822

144 10.000 0.0296 1.0000 0.0296 1.5000 0.0296 2.0000 0.0296

145 11.000 0.0245 1.0000 0.0245 1.5000 0.0245 2.0000 0.0245

146 20.000 0.0074 1.0000 0.0074 1.5000 0.0074 2.0000 0.0074

147 25.000 0.0047 1.0000 0.0047 1.5000 0.0047 2.0000 0.0047

Page 131: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

Inelastic Design Spectra (IDS)_Prof. A.K. Chopra

A. Variasi perioda dan redaman viskos sistem linear ekivalen dengan duktilitas

4 4.5 5 5.5 6 6.5 7 7.5 82.00 2.12 2.24 2.35 2.45 2.55 2.65 2.74 2.83

1.87 1.96 2.04 2.12 2.19 2.26 2.32 2.38 2.43

1.75 1.83 1.89 1.95 2.00 2.05 2.09 2.13 2.17

1.58 1.63 1.67 1.70 1.73 1.76 1.78 1.81 1.83

Faktor Duktilitas Struktur, m

0 1 2 3 4 5 6 7 8 9 100.00

0.50

1.00

1.50

2.00

2.50

3.00

3.50

Variasi Perioda terhadap Faktor Duktilitas

= a0.00 = a

0.05 = a

0.10

Faktor Duktilitas, m

Te

q :

Tn

Page 132: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

4 4.5 5 5.5 6 6.5 7 7.5 80.48 0.50 0.51 0.52 0.53 0.54 0.55 0.55 0.56

0.38 0.38 0.39 0.39 0.39 0.39 0.38 0.38 0.38

0.32 0.32 0.32 0.31 0.31 0.30 0.30 0.29 0.29

0.22 0.22 0.21 0.21 0.20 0.20 0.19 0.18 0.18

Hubungan redaman viskos ekivalen pada sistem linear ekivalen dengan duktilitas

Faktor Duktilitas Struktur, m

0 1 2 3 4 5 6 7 8 9 100.00

0.50

1.00

1.50

2.00

2.50

3.00

3.50

Variasi Perioda terhadap Faktor Duktilitas

= a0.00 = a

0.05 = a

0.10

Faktor Duktilitas, m

Te

q :

Tn

0.00

0.10

0.20

0.30

0.40

0.50

0.60

0.70

Variasi Redaman Viskos Ekivalen terhadap Faktor Duktilitas

= a0.00 = a

0.05 = a

0.10

Faktor Duktilitas, m

Re

da

ma

n v

isko

s e

kiv

ale

n, xe

q

Page 133: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

Nilai-nilai maksimum spektra tripartie Newmark-Hall

V D

122 cm/s 91.4 cm

122 cm/s 91.4 cm

48 in/s 36 in

NoPBA 0.4g

1 0.010 0.40002 0.020 0.40003 0.030 0.4000

4 0.033 0.40005 0.0334 0.42756 0.0335 0.42847 0.0336 0.42938 0.0337 0.43029 0.0338 0.4311

10 0.125 1.082611 0.130 1.082612 0.140 1.082613 0.150 1.082614 0.160 1.082615 0.170 1.082616 0.180 1.082617 0.190 1.082618 0.200 1.082619 0.210 1.082620 0.220 1.082621 0.230 1.082622 0.240 1.082623 0.250 1.082624 0.260 1.082625 0.270 1.0826

Redaman x = 5%

Elastic Pseudo-Accelleration Design Spectrum (Newmark-Hall Procedure)

Period (s) (m=1)

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 5.5 6.00.0

0.5

1.0

1.5

2.0

2.5

3.0

Pseudo Respons Percepatan Elastik Newmark-Hall (x=5%) Profil Tanah Keras (Tipe B), PBA = 1.0g, m=1

Perioda Tn (detik)

Pseudo-A

ccellera

tion S

pectr

a (

g)

Page 134: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

26 0.280 1.082627 0.290 1.082628 0.300 1.082629 0.310 1.082630 0.320 1.082631 0.330 1.082632 0.340 1.082633 0.350 1.082634 0.360 1.082635 0.370 1.082636 0.380 1.082637 0.390 1.082638 0.400 1.082639 0.410 1.082640 0.420 1.082641 0.430 1.082642 0.440 1.082643 0.450 1.082644 0.460 1.082645 0.470 1.082646 0.480 1.082647 0.490 1.082648 0.500 1.082649 0.510 1.082650 0.520 1.082651 0.530 1.082652 0.540 1.082653 0.550 1.082654 0.560 1.082655 0.570 1.082656 0.580 1.082657 0.590 1.082658 0.600 1.082659 0.610 1.082660 0.620 1.082661 0.630 1.082662 0.640 1.082663 0.650 1.082664 0.660 1.0826

65 0.667 1.082666 0.670 1.074667 0.680 1.058868 0.690 1.043569 0.700 1.028670 0.710 1.014171 0.720 1.000072 0.730 0.9863

0.736 0.9783

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 5.5 6.00.0

0.5

1.0

1.5

2.0

2.5

3.0

Pseudo Respons Percepatan Elastik Newmark-Hall (x=5%) Profil Tanah Keras (Tipe B), PBA = 1.0g, m=1

Perioda Tn (detik)

Pseudo-A

ccellera

tion S

pectr

a (

g)

Page 135: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

73 0.740 0.973074 0.750 0.960075 0.760 0.947476 0.770 0.935177 0.780 0.923178 0.790 0.911479 0.800 0.9000

0.806 0.893380 0.810 0.888981 0.820 0.878082 0.830 0.867583 0.840 0.857184 0.850 0.847185 0.860 0.837286 0.870 0.827687 0.880 0.818288 0.890 0.809089 0.900 0.800090 0.910 0.791291 0.920 0.782692 0.930 0.774293 0.940 0.766094 0.950 0.757995 0.960 0.7500

96 0.970 0.742397 0.980 0.734798 0.990 0.727399 1.000 0.7200

100 1.100 0.6545101 1.200 0.6000102 1.300 0.5538103 1.400 0.5143104 1.500 0.4800105 1.600 0.4500106 1.700 0.4235107 1.800 0.4000108 1.900 0.3789109 2.000 0.3600110 2.100 0.3429111 2.200 0.3273112 2.300 0.3130113 2.400 0.3000114 2.500 0.2880115 2.600 0.2769116 2.700 0.2667117 2.800 0.2571118 2.900 0.2483119 3.000 0.2400

PGA = 1.0g (ARS)

Page 136: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

120 3.100 0.2323121 3.200 0.2250122 3.300 0.2182123 3.400 0.2118124 3.500 0.2057125 3.600 0.2000126 3.700 0.1946127 3.800 0.1895128 3.900 0.1846129 4.000 0.1800130 4.100 0.1756

131 4.120 0.1748132 4.150 0.1719133 4.200 0.1678134 4.300 0.1601135 4.400 0.1529136 4.500 0.1462137 4.600 0.1399138 4.700 0.1340139 4.800 0.1285140 4.900 0.1233141 5.000 0.1184142 5.500 0.0979143 6.000 0.0822

144 10.000 0.0296145 11.000 0.0245146 20.000 0.0074147 25.000 0.0047

Displasemen 1.0g Displasemen 0.4gNo

PBA 0.4g

1 0.010 0.00102 0.020 0.00403 0.030 0.0089

4 0.033 0.01085 0.0334 0.0119

PGA = 1.0g (ARS)

Period (s) (m=1)

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 5.5 6.00.0

25.0

50.0

75.0

100.0

125.0

150.0

175.0

200.0

Elastic Deformation Design Spectrum, x = 5%

Perioda Tn (detik)

Um

, cm

)

Page 137: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

6 0.0335 0.01197 0.0336 0.01208 0.0337 0.01219 0.0338 0.0122

10 0.125 0.420311 0.130 0.454612 0.140 0.527313 0.150 0.605314 0.160 0.688715 0.170 0.777516 0.180 0.871617 0.190 0.971218 0.200 1.076119 0.210 1.186420 0.220 1.302021 0.230 1.423122 0.240 1.549523 0.250 1.681424 0.260 1.818625 0.270 1.961126 0.280 2.109127 0.290 2.262428 0.300 2.421229 0.310 2.585330 0.320 2.754731 0.330 2.929632 0.340 3.109833 0.350 3.295534 0.360 3.486535 0.370 3.682836 0.380 3.884637 0.390 4.091738 0.400 4.304339 0.410 4.522240 0.420 4.745541 0.430 4.974142 0.440 5.208243 0.450 5.447644 0.460 5.692445 0.470 5.942646 0.480 6.198247 0.490 6.459148 0.500 6.725449 0.510 6.997150 0.520 7.274251 0.530 7.556752 0.540 7.844553 0.550 8.1378

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 5.5 6.00.0

25.0

50.0

75.0

100.0

125.0

150.0

175.0

200.0

Elastic Deformation Design Spectrum, x = 5%

Perioda Tn (detik)

Um

, cm

)

Page 138: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

54 0.560 8.436455 0.570 8.740456 0.580 9.049757 0.590 9.364558 0.600 9.684659 0.610 10.010160 0.620 10.341061 0.630 10.677362 0.640 11.018963 0.650 11.366064 0.660 11.7184

65 0.667 11.968366 0.670 11.987267 0.680 12.166168 0.690 12.345069 0.700 12.523970 0.710 12.702871 0.720 12.881772 0.730 13.060673 0.740 13.239674 0.750 13.418575 0.760 13.597476 0.770 13.776377 0.780 13.955278 0.790 14.134179 0.800 14.313080 0.810 14.491981 0.820 14.670982 0.830 14.849883 0.840 15.028784 0.850 15.207685 0.860 15.386586 0.870 15.565487 0.880 15.744388 0.890 15.923389 0.900 16.102290 0.910 16.281191 0.920 16.460092 0.930 16.638993 0.940 16.817894 0.950 16.996795 0.960 17.175696 0.970 17.354697 0.980 17.533598 0.990 17.712499 1.000 17.8913

100 1.100 19.6804101 1.200 21.4696102 1.300 23.2587

Page 139: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

103 1.400 25.0478104 1.500 26.8369105 1.600 28.6261106 1.700 30.4152107 1.800 32.2043108 1.900 33.9935109 2.000 35.7826110 2.100 37.5717111 2.200 39.3608112 2.300 41.1500113 2.400 42.9391114 2.500 44.7282115 2.600 46.5174116 2.700 48.3065117 2.800 50.0956118 2.900 51.8848119 3.000 53.6739120 3.100 55.4630121 3.200 57.2521122 3.300 59.0413123 3.400 60.8304124 3.500 62.6195125 3.600 64.4087126 3.700 66.1978127 3.800 67.9869128 3.900 69.7760129 4.000 71.5652130 4.100 73.3543

131 4.120 73.7121132 4.150 73.5531133 4.200 73.5531134 4.300 73.5531135 4.400 73.5531136 4.500 73.5531137 4.600 73.5531138 4.700 73.5531139 4.800 73.5531140 4.900 73.5531141 5.000 73.5531142 5.500 73.5531143 6.000 73.5531

144 10.000 73.5531145 11.000 73.5531146 20.000 73.5531147 25.000 73.5531

Page 140: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

Parameter Integrasi Dt Spektra Newmark-Hall:

R PBA 0.4g R PBA 0.4g R NoPeriod (s) 1

6.0 8.0 m = 1.0

Page 141: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

1.0000 0.4000 1.0000 0.4000 1.0000 1 0.010 0.4000

1.0000 0.4000 1.0000 0.4000 1.0000 2 0.020 0.4000

1.0000 0.4000 1.0000 0.4000 1.0000 3 0.030 0.4000

1.0000 0.4000 1.0000 0.4000 1.0000 Ta 4 0.033 0.4000

1.2754 0.4275 1.3495 0.4275 1.4029 5 0.0334 0.4275

1.2754 0.4284 1.3495 0.4284 1.4029 6 0.0335 0.4284

1.2754 0.4293 1.3495 0.4293 1.4029 7 0.0336 0.4293

1.2754 0.4302 1.3495 0.4302 1.4029 8 0.0337 0.4302

1.2754 0.4311 1.3495 0.4311 1.4029 9 0.0338 0.4311

2.6458 1.0826 3.3166 1.0826 3.8730 Tb 10 0.125 1.0826

2.6458 1.0826 3.3166 1.0826 3.8730 11 0.130 1.0826

2.6458 1.0826 3.3166 1.0826 3.8730 12 0.140 1.0826

2.6458 1.0826 3.3166 1.0826 3.8730 13 0.150 1.0826

2.6458 1.0826 3.3166 1.0826 3.8730 14 0.160 1.0826

2.6458 1.0826 3.3166 1.0826 3.8730 15 0.170 1.0826

2.6458 1.0826 3.3166 1.0826 3.8730 16 0.180 1.0826

2.6458 1.0826 3.3166 1.0826 3.8730 17 0.190 1.0826

2.6458 1.0826 3.3166 1.0826 3.8730 18 0.200 1.0826

2.6458 1.0826 3.3166 1.0826 3.8730 19 0.210 1.0826

2.6458 1.0826 3.3166 1.0826 3.8730 20 0.220 1.0826

2.6458 1.0826 3.3166 1.0826 3.8730 21 0.230 1.0826

2.6458 1.0826 3.3166 1.0826 3.8730 22 0.240 1.0826

2.6458 1.0826 3.3166 1.0826 3.8730 23 0.250 1.0826

2.6458 1.0826 3.3166 1.0826 3.8730 24 0.260 1.0826

2.6458 1.0826 3.3166 1.0826 3.8730 25 0.270 1.0826

2.6458 1.0826 3.3166 1.0826 3.8730 26 0.280 1.0826

2.6458 1.0826 3.3166 1.0826 3.8730 27 0.290 1.0826

2.6458 1.0826 3.3166 1.0826 3.8730 28 0.300 1.0826

2.6458 1.0826 3.3166 1.0826 3.8730 29 0.310 1.0826

2.6458 1.0826 3.3166 1.0826 3.8730 30 0.320 1.0826

2.6458 1.0826 3.3166 1.0826 3.9580 31 0.330 1.0826

2.6458 1.0826 3.3166 1.0826 4.0780 32 0.340 1.0826

2.6458 1.0826 3.3166 1.0826 4.1979 33 0.350 1.0826

2.6458 1.0826 3.3166 1.0826 4.3178 34 0.360 1.0826

2.6458 1.0826 3.3283 1.0826 4.4378 35 0.370 1.0826

2.6458 1.0826 3.4183 1.0826 4.5577 36 0.380 1.0826

2.6458 1.0826 3.5082 1.0826 4.6777 37 0.390 1.0826

2.6458 1.0826 3.5982 1.0826 4.7976 38 0.400 1.0826

2.6458 1.0826 3.6882 1.0826 4.9175 39 0.410 1.0826

2.6458 1.0826 3.7781 1.0826 5.0375 40 0.420 1.0826

2.6458 1.0826 3.8681 1.0826 5.1574 41 0.430 1.0826

Page 142: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

2.6458 1.0826 3.9580 1.0826 5.2774 42 0.440 1.0826

2.6987 1.0826 4.0480 1.0826 5.3973 43 0.450 1.0826

2.7586 1.0826 4.1379 1.0826 5.5172 44 0.460 1.0826

2.8186 1.0826 4.2279 1.0826 5.6372 45 0.470 1.0826

2.8786 1.0826 4.3178 1.0826 5.7571 46 0.480 1.0826

2.9385 1.0826 4.4078 1.0826 5.8771 47 0.490 1.0826

2.9985 1.0826 4.4978 1.0826 5.9970 48 0.500 1.0826

3.0585 1.0826 4.5877 1.0826 6.1169 49 0.510 1.0826

3.1184 1.0826 4.6777 1.0826 6.2369 50 0.520 1.0826

3.1784 1.0826 4.7676 1.0826 6.3568 51 0.530 1.0826

3.2384 1.0826 4.8576 1.0826 6.4768 52 0.540 1.0826

3.2984 1.0826 4.9475 1.0826 6.5967 53 0.550 1.0826

3.3583 1.0826 5.0375 1.0826 6.7166 54 0.560 1.0826

3.4183 1.0826 5.1274 1.0826 6.8366 55 0.570 1.0826

3.4783 1.0826 5.2174 1.0826 6.9565 56 0.580 1.0826

3.5382 1.0826 5.3073 1.0826 7.0765 57 0.590 1.0826

3.5982 1.0826 5.3973 1.0826 7.1964 Tc' 58 0.600 1.0826

3.6582 1.0826 5.4873 1.0826 7.3163 59 0.610 1.0826

3.7181 1.0826 5.5772 1.0826 7.4363 60 0.620 1.0826

3.7781 1.0826 5.6672 1.0826 7.5562 61 0.630 1.0826

3.8381 1.0826 5.7571 1.0826 7.6762 62 0.640 1.0826

3.8981 1.0826 5.8471 1.0826 7.7961 63 0.650 1.0826

3.9580 1.0826 5.9370 1.0826 7.9160 64 0.660 1.0826

4.0000 1.0826 6.0000 1.0826 8.0000 Tc 65 0.667 1.0826

4.0000 1.0746 6.0000 1.0746 8.0000 66 0.670 1.0746

4.0000 1.0588 6.0000 1.0588 8.0000 67 0.680 1.0588

4.0000 1.0435 6.0000 1.0435 8.0000 68 0.690 1.0435

4.0000 1.0286 6.0000 1.0286 8.0000 69 0.700 1.0286

4.0000 1.0141 6.0000 1.0141 8.0000 70 0.710 1.0141

4.0000 1.0000 6.0000 1.0000 8.0000 71 0.720 1.0000

4.0000 0.9863 6.0000 0.9863 8.0000 72 0.730 0.9863

4.0000 0.9730 6.0000 0.9730 8.0000 73 0.740 0.9730

4.0000 0.9600 6.0000 0.9600 8.0000 74 0.750 0.9600

4.0000 0.9474 6.0000 0.9474 8.0000 75 0.760 0.9474

4.0000 0.9351 6.0000 0.9351 8.0000 76 0.770 0.9351

4.0000 0.9231 6.0000 0.9231 8.0000 77 0.780 0.9231

4.0000 0.9114 6.0000 0.9114 8.0000 78 0.790 0.9114

4.0000 0.9000 6.0000 0.9000 8.0000 79 0.800 0.9000

4.0000 0.8889 6.0000 0.8889 8.0000 80 0.810 0.8889

4.0000 0.8780 6.0000 0.8780 8.0000 81 0.820 0.8780

4.0000 0.8675 6.0000 0.8675 8.0000 82 0.830 0.8675

Page 143: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

4.0000 0.8571 6.0000 0.8571 8.0000 83 0.840 0.8571

4.0000 0.8471 6.0000 0.8471 8.0000 84 0.850 0.8471

4.0000 0.8372 6.0000 0.8372 8.0000 85 0.860 0.8372

4.0000 0.8276 6.0000 0.8276 8.0000 86 0.870 0.8276

4.0000 0.8182 6.0000 0.8182 8.0000 87 0.880 0.8182

4.0000 0.8090 6.0000 0.8090 8.0000 88 0.890 0.8090

4.0000 0.8000 6.0000 0.8000 8.0000 89 0.900 0.8000

4.0000 0.7912 6.0000 0.7912 8.0000 90 0.910 0.7912

4.0000 0.7826 6.0000 0.7826 8.0000 91 0.920 0.7826

4.0000 0.7742 6.0000 0.7742 8.0000 92 0.930 0.7742

4.0000 0.7660 6.0000 0.7660 8.0000 93 0.940 0.7660

4.0000 0.7579 6.0000 0.7579 8.0000 94 0.950 0.7579

4.0000 0.7500 6.0000 0.7500 8.0000 95 0.960 0.7500

4.0000 0.7423 6.0000 0.7423 8.0000 96 0.970 0.7423

4.0000 0.7347 6.0000 0.7347 8.0000 97 0.980 0.7347

4.0000 0.7273 6.0000 0.7273 8.0000 98 0.990 0.7273

4.0000 0.7200 6.0000 0.7200 8.0000 99 1.000 0.7200

4.0000 0.6545 6.0000 0.6545 8.0000 100 1.100 0.6545

4.0000 0.6000 6.0000 0.6000 8.0000 101 1.200 0.6000

4.0000 0.5538 6.0000 0.5538 8.0000 102 1.300 0.5538

4.0000 0.5143 6.0000 0.5143 8.0000 103 1.400 0.5143

4.0000 0.4800 6.0000 0.4800 8.0000 104 1.500 0.4800

4.0000 0.4500 6.0000 0.4500 8.0000 105 1.600 0.4500

4.0000 0.4235 6.0000 0.4235 8.0000 106 1.700 0.4235

4.0000 0.4000 6.0000 0.4000 8.0000 107 1.800 0.4000

4.0000 0.3789 6.0000 0.3789 8.0000 108 1.900 0.3789

4.0000 0.3600 6.0000 0.3600 8.0000 109 2.000 0.3600

4.0000 0.3429 6.0000 0.3429 8.0000 110 2.100 0.3429

4.0000 0.3273 6.0000 0.3273 8.0000 111 2.200 0.3273

4.0000 0.3130 6.0000 0.3130 8.0000 112 2.300 0.3130

4.0000 0.3000 6.0000 0.3000 8.0000 113 2.400 0.3000

4.0000 0.2880 6.0000 0.2880 8.0000 114 2.500 0.2880

4.0000 0.2769 6.0000 0.2769 8.0000 115 2.600 0.2769

4.0000 0.2667 6.0000 0.2667 8.0000 116 2.700 0.2667

4.0000 0.2571 6.0000 0.2571 8.0000 117 2.800 0.2571

4.0000 0.2483 6.0000 0.2483 8.0000 118 2.900 0.2483

4.0000 0.2400 6.0000 0.2400 8.0000 119 3.000 0.2400

4.0000 0.2323 6.0000 0.2323 8.0000 120 3.100 0.2323

4.0000 0.2250 6.0000 0.2250 8.0000 121 3.200 0.2250

4.0000 0.2182 6.0000 0.2182 8.0000 122 3.300 0.2182

4.0000 0.2118 6.0000 0.2118 8.0000 123 3.400 0.2118

Page 144: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

4.0000 0.2057 6.0000 0.2057 8.0000 124 3.500 0.2057

4.0000 0.2000 6.0000 0.2000 8.0000 125 3.600 0.2000

4.0000 0.1946 6.0000 0.1946 8.0000 126 3.700 0.1946

4.0000 0.1895 6.0000 0.1895 8.0000 127 3.800 0.1895

4.0000 0.1846 6.0000 0.1846 8.0000 128 3.900 0.1846

4.0000 0.1800 6.0000 0.1800 8.0000 129 4.000 0.1800

4.0000 0.1756 6.0000 0.1756 8.0000 130 4.100 0.1756

4.0000 0.1748 6.0000 0.1748 8.0000 131 4.120 0.1748

4.0000 0.1719 6.0000 0.1719 8.0000 132 4.150 0.1719

4.0000 0.1678 6.0000 0.1678 8.0000 133 4.200 0.1678

4.0000 0.1601 6.0000 0.1601 8.0000 134 4.300 0.1601

4.0000 0.1529 6.0000 0.1529 8.0000 135 4.400 0.1529

4.0000 0.1462 6.0000 0.1462 8.0000 136 4.500 0.1462

4.0000 0.1399 6.0000 0.1399 8.0000 137 4.600 0.1399

4.0000 0.1340 6.0000 0.1340 8.0000 138 4.700 0.1340

4.0000 0.1285 6.0000 0.1285 8.0000 139 4.800 0.1285

4.0000 0.1233 6.0000 0.1233 8.0000 140 4.900 0.1233

4.0000 0.1184 6.0000 0.1184 8.0000 141 5.000 0.1184

4.0000 0.0979 6.0000 0.0979 8.0000 142 5.500 0.0979

4.0000 0.0822 6.0000 0.0822 8.0000 143 6.000 0.0822

4.0000 0.0296 6.0000 0.0296 8.0000 144 10.000 0.0296

4.0000 0.0245 6.0000 0.0245 8.0000 145 11.000 0.0245

4.0000 0.0074 6.0000 0.0074 8.0000 146 20.000 0.0074

4.0000 0.0047 6.0000 0.0047 8.0000 147 25.000 0.0047

NoPeriod (s) 1

1 0.010 0.0010

2 0.020 0.0040

3 0.030 0.0089

4 0.033 0.0108

5 0.0334 0.0119

6 0.0335 0.0119

7 0.0336 0.0120

8 0.0337 0.0121

m = 1.0

Page 145: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

9 0.0338 0.0122

10 0.125 0.4203

11 0.130 0.4546

12 0.140 0.5273

13 0.150 0.6053

14 0.160 0.6887

15 0.170 0.7775

16 0.180 0.8716

17 0.190 0.9712

18 0.200 1.0761

19 0.210 1.1864

20 0.220 1.3020

21 0.230 1.4231

22 0.240 1.5495

23 0.250 1.6814

24 0.260 1.8186

25 0.270 1.9611

26 0.280 2.1091

27 0.290 2.2624

28 0.300 2.4212

29 0.310 2.5853

30 0.320 2.7547

31 0.330 2.9296

32 0.340 3.1098

33 0.350 3.2955

34 0.360 3.4865

35 0.370 3.6828

36 0.380 3.8846

37 0.390 4.0917

38 0.400 4.304339 0.410 4.522240 0.420 4.745541 0.430 4.974142 0.440 5.208243 0.450 5.447644 0.460 5.692445 0.470 5.942646 0.480 6.198247 0.490 6.459148 0.500 6.725449 0.510 6.997150 0.520 7.274251 0.530 7.5567

Page 146: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

52 0.540 7.844553 0.550 8.137854 0.560 8.436455 0.570 8.740456 0.580 9.049757 0.590 9.364558 0.600 9.684659 0.610 10.010160 0.620 10.341061 0.630 10.677362 0.640 11.018963 0.650 11.366064 0.660 11.7184

65 0.667 11.968366 0.670 11.987267 0.680 12.166168 0.690 12.345069 0.700 12.523970 0.710 12.702871 0.720 12.881772 0.730 13.060673 0.740 13.239674 0.750 13.418575 0.760 13.597476 0.770 13.776377 0.780 13.955278 0.790 14.134179 0.800 14.313080 0.810 14.491981 0.820 14.670982 0.830 14.849883 0.840 15.028784 0.850 15.207685 0.860 15.386586 0.870 15.565487 0.880 15.744388 0.890 15.923389 0.900 16.102290 0.910 16.281191 0.920 16.460092 0.930 16.638993 0.940 16.817894 0.950 16.996795 0.960 17.175696 0.970 17.354697 0.980 17.533598 0.990 17.712499 1.000 17.8913

Page 147: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

100 1.100 19.6804101 1.200 21.4696102 1.300 23.2587103 1.400 25.0478104 1.500 26.8369105 1.600 28.6261106 1.700 30.4152107 1.800 32.2043108 1.900 33.9935109 2.000 35.7826110 2.100 37.5717111 2.200 39.3608112 2.300 41.1500113 2.400 42.9391114 2.500 44.7282115 2.600 46.5174116 2.700 48.3065117 2.800 50.0956118 2.900 51.8848119 3.000 53.6739120 3.100 55.4630121 3.200 57.2521122 3.300 59.0413123 3.400 60.8304124 3.500 62.6195125 3.600 64.4087126 3.700 66.1978127 3.800 67.9869128 3.900 69.7760129 4.000 71.5652130 4.100 73.3543

131 4.120 73.7121132 4.150 73.5531133 4.200 73.5531134 4.300 73.5531135 4.400 73.5531136 4.500 73.5531137 4.600 73.5531138 4.700 73.5531139 4.800 73.5531140 4.900 73.5531141 5.000 73.5531142 5.500 73.5531143 6.000 73.5531

144 10.000 73.5531145 11.000 73.5531146 20.000 73.5531147 25.000 73.5531

Page 148: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

8.5 9 9.5 10 10.52.92 3.00 3.08 3.16 3.24

2.49 2.54 2.58 2.63 2.67

2.20 2.24 2.27 2.29 2.32

1.84 1.86 1.88 1.89 1.90

Page 149: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

8.5 9 9.5 10 10.50.56 0.57 0.57 0.57 0.58

0.37 0.37 0.37 0.36 0.36

0.28 0.28 0.27 0.26 0.26

0.17 0.17 0.16 0.16 0.15

Page 150: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

PBA 0.4g

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 5.5 6.00.0

0.2

0.4

0.6

0.8

1.0

1.2

Spektra Respons Percepatan (ARS) Desain, x = 5%, PBA = 0.40g

Perioda Tn (detik)

Pseudo-A

ccellera

tion S

pectr

a (

g)

Page 151: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

7.071068

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 5.5 6.00.0

0.2

0.4

0.6

0.8

1.0

1.2

Spektra Respons Percepatan (ARS) Desain, x = 5%, PBA = 0.40g

Perioda Tn (detik)

Pseudo-A

ccellera

tion S

pectr

a (

g)

Page 152: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

PGA = 0.4g (ARS)

Page 153: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

Displasemen 0.4gPBA 0.4g

PGA = 0.4g (ARS)

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 5.5 6.00.0

20.0

40.0

60.0

80.0

Spektra Respons Displasemen (DRS) Desain,x = 5%, PBA = 0.40g

Perioda Tn (detik)

Dis

pla

sem

en, cm

Page 154: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 5.5 6.00.0

20.0

40.0

60.0

80.0

Spektra Respons Displasemen (DRS) Desain,x = 5%, PBA = 0.40g

Perioda Tn (detik)

Dis

pla

sem

en, cm

Page 155: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

Inelastik Spektra, PGA=0.4g1.5 2 4 6 8

m = 1.5 m = 2.0 m = 4.0 m = 6.0 m = 8.0

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 5.5 6.00.0

0.2

0.4

0.6

0.8

1.0

1.2

Spektra Respons Percepatan (ARS) Inelastik,x = 5%, PBA = 0.40g

= m1.0 = m

1.5 = m

2.0 = m

4.0 = m

6.0

Perioda Tn (detik)

Pse

ud

o A

cce

lle

rati

on

Sp

ectr

a (

g)

Page 156: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

0.4000 0.4000 0.4000 0.4000 0.4000

0.4000 0.4000 0.4000 0.4000 0.4000

0.4000 0.4000 0.4000 0.4000 0.4000

0.4000 0.4000 0.4000 0.4000 0.4000

0.3920 0.3727 0.3352 0.3168 0.3048

0.3929 0.3735 0.3359 0.3175 0.3054

0.3937 0.3742 0.3366 0.3181 0.3060

0.3945 0.3750 0.3373 0.3188 0.3067

0.3953 0.3758 0.3380 0.3195 0.3073

0.7655 0.6250 0.4092 0.3264 0.2795

0.7655 0.6250 0.4092 0.3264 0.2795

0.7655 0.6250 0.4092 0.3264 0.2795

0.7655 0.6250 0.4092 0.3264 0.2795

0.7655 0.6250 0.4092 0.3264 0.2795

0.7655 0.6250 0.4092 0.3264 0.2795

0.7655 0.6250 0.4092 0.3264 0.2795

0.7655 0.6250 0.4092 0.3264 0.2795

0.7655 0.6250 0.4092 0.3264 0.2795

0.7655 0.6250 0.4092 0.3264 0.2795

0.7655 0.6250 0.4092 0.3264 0.2795

0.7655 0.6250 0.4092 0.3264 0.2795

0.7655 0.6250 0.4092 0.3264 0.2795

0.7655 0.6250 0.4092 0.3264 0.2795

0.7655 0.6250 0.4092 0.3264 0.2795

0.7655 0.6250 0.4092 0.3264 0.2795

0.7655 0.6250 0.4092 0.3264 0.2795

0.7655 0.6250 0.4092 0.3264 0.2795

0.7655 0.6250 0.4092 0.3264 0.2795

0.7655 0.6250 0.4092 0.3264 0.2795

0.7655 0.6250 0.4092 0.3264 0.2795

0.7655 0.6250 0.4092 0.3264 0.2735

0.7655 0.6250 0.4092 0.3264 0.2655

0.7655 0.6250 0.4092 0.3264 0.2579

0.7655 0.6250 0.4092 0.3264 0.2507

0.7655 0.6250 0.4092 0.3253 0.2440

0.7655 0.6250 0.4092 0.3167 0.2375

0.7655 0.6250 0.4092 0.3086 0.2314

0.7655 0.6250 0.4092 0.3009 0.2257

0.7655 0.6250 0.4092 0.2935 0.2202

0.7655 0.6250 0.4092 0.2865 0.2149

0.7655 0.6250 0.4092 0.2799 0.2099

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 5.5 6.00.0

0.2

0.4

0.6

0.8

1.0

1.2

Spektra Respons Percepatan (ARS) Inelastik,x = 5%, PBA = 0.40g

= m1.0 = m

1.5 = m

2.0 = m

4.0 = m

6.0

Perioda Tn (detik)

Pse

ud

o A

cce

lle

rati

on

Sp

ectr

a (

g)

Page 157: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

0.7655 0.6250 0.4092 0.2735 0.2051

0.7655 0.6250 0.4012 0.2674 0.2006

0.7655 0.6250 0.3924 0.2616 0.1962

0.7655 0.6250 0.3841 0.2561 0.1920

0.7655 0.6250 0.3761 0.2507 0.1880

0.7655 0.6250 0.3684 0.2456 0.1842

0.7655 0.6250 0.3610 0.2407 0.1805

0.7655 0.6250 0.3540 0.2360 0.1770

0.7655 0.6250 0.3472 0.2314 0.1736

0.7655 0.6250 0.3406 0.2271 0.1703

0.7655 0.6250 0.3343 0.2229 0.1672

0.7655 0.6250 0.3282 0.2188 0.1641

0.7655 0.6250 0.3224 0.2149 0.1612

0.7655 0.6250 0.3167 0.2111 0.1584

0.7655 0.6250 0.3112 0.2075 0.1556

0.7655 0.6119 0.3060 0.2040 0.1530

0.7655 0.6017 0.3009 0.2006 0.1504

0.7655 0.5919 0.2959 0.1973 0.1480

0.7655 0.5823 0.2912 0.1941 0.1456

0.7641 0.5731 0.2865 0.1910 0.1433

0.7522 0.5641 0.2821 0.1880 0.1410

0.7406 0.5555 0.2777 0.1852 0.1389

0.7294 0.5470 0.2735 0.1823 0.1368

0.7217 0.5413 0.2707 0.1804 0.1353

0.7164 0.5373 0.2687 0.1791 0.1343

0.7059 0.5294 0.2647 0.1765 0.1324

0.6957 0.5217 0.2609 0.1739 0.1304

0.6857 0.5143 0.2571 0.1714 0.1286

0.6761 0.5070 0.2535 0.1690 0.1268

0.6667 0.5000 0.2500 0.1667 0.1250

0.6575 0.4932 0.2466 0.1644 0.1233

0.6486 0.4865 0.2432 0.1622 0.1216

0.6400 0.4800 0.2400 0.1600 0.1200

0.6316 0.4737 0.2368 0.1579 0.1184

0.6234 0.4675 0.2338 0.1558 0.1169

0.6154 0.4615 0.2308 0.1538 0.1154

0.6076 0.4557 0.2278 0.1519 0.1139

0.6000 0.4500 0.2250 0.1500 0.1125

0.5926 0.4444 0.2222 0.1481 0.1111

0.5854 0.4390 0.2195 0.1463 0.1098

0.5783 0.4337 0.2169 0.1446 0.1084

Page 158: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

0.5714 0.4286 0.2143 0.1429 0.1071

0.5647 0.4235 0.2118 0.1412 0.1059

0.5581 0.4186 0.2093 0.1395 0.1047

0.5517 0.4138 0.2069 0.1379 0.1034

0.5455 0.4091 0.2045 0.1364 0.1023

0.5393 0.4045 0.2022 0.1348 0.1011

0.5333 0.4000 0.2000 0.1333 0.1000

0.5275 0.3956 0.1978 0.1319 0.0989

0.5217 0.3913 0.1957 0.1304 0.0978

0.5161 0.3871 0.1935 0.1290 0.0968

0.5106 0.3830 0.1915 0.1277 0.0957

0.5053 0.3789 0.1895 0.1263 0.0947

0.5000 0.3750 0.1875 0.1250 0.0938

0.4948 0.3711 0.1856 0.1237 0.0928

0.4898 0.3673 0.1837 0.1224 0.0918

0.4848 0.3636 0.1818 0.1212 0.0909

0.4800 0.3600 0.1800 0.1200 0.0900

0.4364 0.3273 0.1636 0.1091 0.0818

0.4000 0.3000 0.1500 0.1000 0.0750

0.3692 0.2769 0.1385 0.0923 0.0692

0.3429 0.2571 0.1286 0.0857 0.0643

0.3200 0.2400 0.1200 0.0800 0.0600

0.3000 0.2250 0.1125 0.0750 0.0563

0.2824 0.2118 0.1059 0.0706 0.0529

0.2667 0.2000 0.1000 0.0667 0.0500

0.2526 0.1895 0.0947 0.0632 0.0474

0.2400 0.1800 0.0900 0.0600 0.0450

0.2286 0.1714 0.0857 0.0571 0.0429

0.2182 0.1636 0.0818 0.0545 0.0409

0.2087 0.1565 0.0783 0.0522 0.0391

0.2000 0.1500 0.0750 0.0500 0.0375

0.1920 0.1440 0.0720 0.0480 0.0360

0.1846 0.1385 0.0692 0.0462 0.0346

0.1778 0.1333 0.0667 0.0444 0.0333

0.1714 0.1286 0.0643 0.0429 0.0321

0.1655 0.1241 0.0621 0.0414 0.0310

0.1600 0.1200 0.0600 0.0400 0.0300

0.1548 0.1161 0.0581 0.0387 0.0290

0.1500 0.1125 0.0563 0.0375 0.0281

0.1455 0.1091 0.0545 0.0364 0.0273

0.1412 0.1059 0.0529 0.0353 0.0265

Page 159: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

0.1371 0.1029 0.0514 0.0343 0.0257

0.1333 0.1000 0.0500 0.0333 0.0250

0.1297 0.0973 0.0486 0.0324 0.0243

0.1263 0.0947 0.0474 0.0316 0.0237

0.1231 0.0923 0.0462 0.0308 0.0231

0.1200 0.0900 0.0450 0.0300 0.0225

0.1171 0.0878 0.0439 0.0293 0.0220

0.1165 0.0874 0.0437 0.0291 0.0218

0.1146 0.0859 0.0430 0.0286 0.0215

0.1119 0.0839 0.0420 0.0280 0.0210

0.1067 0.0800 0.0400 0.0267 0.0200

0.1019 0.0764 0.0382 0.0255 0.0191

0.0974 0.0731 0.0365 0.0244 0.0183

0.0933 0.0699 0.0350 0.0233 0.0175

0.0893 0.0670 0.0335 0.0223 0.0167

0.0856 0.0642 0.0321 0.0214 0.0161

0.0822 0.0616 0.0308 0.0205 0.0154

0.0789 0.0592 0.0296 0.0197 0.0148

0.0652 0.0489 0.0245 0.0163 0.0122

0.0548 0.0411 0.0206 0.0137 0.0103

0.0197 0.0148 0.0074 0.0049 0.0037

0.0163 0.0122 0.0061 0.0041 0.0031

0.0049 0.0037 0.0019 0.0012 0.0009

0.0032 0.0024 0.0012 0.0008 0.0006

1.5 2 4 6 8

0.0015 0.0020 0.0040 0.0060 0.0080

0.0060 0.0080 0.0159 0.0239 0.0318

0.0134 0.0179 0.0358 0.0537 0.0716

0.0162 0.0216 0.0433 0.0649 0.0866

0.0163 0.0207 0.0372 0.0527 0.0676

0.0164 0.0208 0.0375 0.0531 0.0681

0.0166 0.0210 0.0378 0.0535 0.0687

0.0167 0.0212 0.0381 0.0540 0.0692

m = 1.5 m = 2.0 m = 4.0 m = 6.0 m = 8.0

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 5.5 6.00.0

20.0

40.0

60.0

80.0

Spektra Respons Deformasi (DRS) Inelastik,x = 5%, PBA = 0.40g

= m1.0

= m1.5

= m2.0

= m4.0

= m6.0

Perioda Te (detik)

Dis

pla

sem

en

, cm

Page 160: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

0.0168 0.0213 0.0384 0.0544 0.0698

0.4458 0.4854 0.6355 0.7604 0.8682

0.4822 0.5250 0.6873 0.8225 0.9391

0.5593 0.6088 0.7972 0.9539 1.0891

0.6420 0.6989 0.9151 1.0950 1.2503

0.7305 0.7952 1.0412 1.2459 1.4225

0.8246 0.8977 1.1754 1.4065 1.6059

0.9245 1.0065 1.3178 1.5768 1.8004

1.0301 1.1214 1.4682 1.7569 2.0060

1.1413 1.2425 1.6269 1.9467 2.2227

1.2583 1.3699 1.7936 2.1462 2.4505

1.3810 1.5035 1.9685 2.3555 2.6895

1.5094 1.6433 2.1515 2.5745 2.9395

1.6435 1.7893 2.3427 2.8032 3.2007

1.7833 1.9415 2.5420 3.0417 3.4730

1.9289 2.0999 2.7494 3.2899 3.7564

2.0801 2.2645 2.9650 3.5478 4.0509

2.2370 2.4354 3.1886 3.8155 4.3565

2.3997 2.6124 3.4205 4.0929 4.6733

2.5680 2.7957 3.6604 4.3800 5.0011

2.7421 2.9852 3.9085 4.6769 5.3401

2.9218 3.1809 4.1648 4.9835 5.6902

3.1073 3.3828 4.4291 5.2998 5.9213

3.2985 3.5909 4.7016 5.6259 6.1008

3.4954 3.8053 4.9823 5.9617 6.2802

3.6980 4.0258 5.2710 6.3072 6.4596

3.9062 4.2526 5.5679 6.6391 6.6391

4.1202 4.4856 5.8730 6.8185 6.8185

4.3400 4.7247 6.1861 6.9979 6.9979

4.5654 4.9701 6.5074 7.1774 7.17744.7965 5.2218 6.8369 7.3568 7.35685.0333 5.4796 7.1745 7.5362 7.53625.2759 5.7436 7.5202 7.7157 7.71575.5241 6.0139 7.8740 7.8951 7.89515.7780 6.2903 8.0745 8.0745 8.07456.0377 6.5730 8.2540 8.2540 8.25406.3031 6.8619 8.4334 8.4334 8.43346.5741 7.1570 8.6128 8.6128 8.61286.8509 7.4583 8.7923 8.7923 8.79237.1334 7.7659 8.9717 8.9717 8.97177.4216 8.0796 9.1512 9.1512 9.15127.7155 8.3995 9.3306 9.3306 9.33068.0151 8.7257 9.5100 9.5100 9.5100

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 5.5 6.00.0

20.0

40.0

60.0

80.0

Spektra Respons Deformasi (DRS) Inelastik,x = 5%, PBA = 0.40g

= m1.0

= m1.5

= m2.0

= m4.0

= m6.0

Perioda Te (detik)

Dis

pla

sem

en

, cm

Page 161: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

8.3204 9.0581 9.6895 9.6895 9.68958.6314 9.3967 9.8689 9.8689 9.86898.9481 9.7415 10.0483 10.0483 10.04839.2706 10.0925 10.2278 10.2278 10.22789.5987 10.4497 10.4072 10.4072 10.40729.9325 10.5866 10.5866 10.5866 10.5866

10.2721 10.7661 10.7661 10.7661 10.766110.6173 10.9455 10.9455 10.9455 10.945510.9683 11.1249 11.1249 11.1249 11.124911.3044 11.3044 11.3044 11.3044 11.304411.4838 11.4838 11.4838 11.4838 11.483811.6632 11.6632 11.6632 11.6632 11.663211.8427 11.8427 11.8427 11.8427 11.8427

11.9683 11.9683 11.9683 11.9683 11.968311.9872 11.9872 11.9872 11.9872 11.987212.1661 12.1661 12.1661 12.1661 12.166112.3450 12.3450 12.3450 12.3450 12.345012.5239 12.5239 12.5239 12.5239 12.523912.7028 12.7028 12.7028 12.7028 12.702812.8817 12.8817 12.8817 12.8817 12.881713.0606 13.0606 13.0606 13.0606 13.060613.2396 13.2396 13.2396 13.2396 13.239613.4185 13.4185 13.4185 13.4185 13.418513.5974 13.5974 13.5974 13.5974 13.597413.7763 13.7763 13.7763 13.7763 13.776313.9552 13.9552 13.9552 13.9552 13.955214.1341 14.1341 14.1341 14.1341 14.134114.3130 14.3130 14.3130 14.3130 14.313014.4919 14.4919 14.4919 14.4919 14.491914.6709 14.6709 14.6709 14.6709 14.670914.8498 14.8498 14.8498 14.8498 14.849815.0287 15.0287 15.0287 15.0287 15.028715.2076 15.2076 15.2076 15.2076 15.207615.3865 15.3865 15.3865 15.3865 15.386515.5654 15.5654 15.5654 15.5654 15.565415.7443 15.7443 15.7443 15.7443 15.744315.9233 15.9233 15.9233 15.9233 15.923316.1022 16.1022 16.1022 16.1022 16.102216.2811 16.2811 16.2811 16.2811 16.281116.4600 16.4600 16.4600 16.4600 16.460016.6389 16.6389 16.6389 16.6389 16.638916.8178 16.8178 16.8178 16.8178 16.817816.9967 16.9967 16.9967 16.9967 16.996717.1756 17.1756 17.1756 17.1756 17.175617.3546 17.3546 17.3546 17.3546 17.354617.5335 17.5335 17.5335 17.5335 17.533517.7124 17.7124 17.7124 17.7124 17.712417.8913 17.8913 17.8913 17.8913 17.8913

Page 162: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

19.6804 19.6804 19.6804 19.6804 19.680421.4696 21.4696 21.4696 21.4696 21.469623.2587 23.2587 23.2587 23.2587 23.258725.0478 25.0478 25.0478 25.0478 25.047826.8369 26.8369 26.8369 26.8369 26.836928.6261 28.6261 28.6261 28.6261 28.626130.4152 30.4152 30.4152 30.4152 30.415232.2043 32.2043 32.2043 32.2043 32.204333.9935 33.9935 33.9935 33.9935 33.993535.7826 35.7826 35.7826 35.7826 35.782637.5717 37.5717 37.5717 37.5717 37.571739.3608 39.3608 39.3608 39.3608 39.360841.1500 41.1500 41.1500 41.1500 41.150042.9391 42.9391 42.9391 42.9391 42.939144.7282 44.7282 44.7282 44.7282 44.728246.5174 46.5174 46.5174 46.5174 46.517448.3065 48.3065 48.3065 48.3065 48.306550.0956 50.0956 50.0956 50.0956 50.095651.8848 51.8848 51.8848 51.8848 51.884853.6739 53.6739 53.6739 53.6739 53.673955.4630 55.4630 55.4630 55.4630 55.463057.2521 57.2521 57.2521 57.2521 57.252159.0413 59.0413 59.0413 59.0413 59.041360.8304 60.8304 60.8304 60.8304 60.830462.6195 62.6195 62.6195 62.6195 62.619564.4087 64.4087 64.4087 64.4087 64.408766.1978 66.1978 66.1978 66.1978 66.197867.9869 67.9869 67.9869 67.9869 67.986969.7760 69.7760 69.7760 69.7760 69.776071.5652 71.5652 71.5652 71.5652 71.565273.3543 73.3543 73.3543 73.3543 73.3543

73.7121 73.7121 73.7121 73.7121 73.712173.5531 73.5531 73.5531 73.5531 73.553173.5531 73.5531 73.5531 73.5531 73.553173.5531 73.5531 73.5531 73.5531 73.553173.5531 73.5531 73.5531 73.5531 73.553173.5531 73.5531 73.5531 73.5531 73.553173.5531 73.5531 73.5531 73.5531 73.553173.5531 73.5531 73.5531 73.5531 73.553173.5531 73.5531 73.5531 73.5531 73.553173.5531 73.5531 73.5531 73.5531 73.553173.5531 73.5531 73.5531 73.5531 73.553173.5531 73.5531 73.5531 73.5531 73.553173.5531 73.5531 73.5531 73.5531 73.5531

73.5531 73.5531 73.5531 73.5531 73.553173.5531 73.5531 73.5531 73.5531 73.553173.5531 73.5531 73.5531 73.5531 73.553173.5531 73.5531 73.5531 73.5531 73.5531

Page 163: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]
Page 164: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 5.5 6.00.0

0.2

0.4

0.6

0.8

1.0

1.2

Spektra Respons Percepatan (ARS) Desain, x = 5%, PBA = 0.40g

Perioda Tn (detik)

Pseudo-A

ccellera

tion S

pectr

a (

g)

Page 165: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 5.5 6.00.0

0.2

0.4

0.6

0.8

1.0

1.2

Spektra Respons Percepatan (ARS) Desain, x = 5%, PBA = 0.40g

Perioda Tn (detik)

Pseudo-A

ccellera

tion S

pectr

a (

g)

Page 166: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

Elastic Pseudo-Accelleration Design Spectrum

PGA = 0.4g

Page 167: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

Displasemen 0.4g

PGA = 0.4g

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 5.5 6.00.0

20.0

40.0

60.0

80.0

Spektra Respons Displasemen (DRS) Desain,x = 5%, PBA = 0.40g

Perioda Tn (detik)

Dis

pla

sem

en, cm

Page 168: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 5.5 6.00.0

20.0

40.0

60.0

80.0

Spektra Respons Displasemen (DRS) Desain,x = 5%, PBA = 0.40g

Perioda Tn (detik)

Dis

pla

sem

en, cm

Page 169: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

Inelastik Spektra, PGA=0.4g

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 5.5 6.00.0

0.2

0.4

0.6

0.8

1.0

1.2

Spektra Respons Percepatan (ARS) Inelastik,x = 5%, PBA = 0.40g

= m1.0 = m

1.5 = m

2.0 = m

4.0 = m

6.0

Perioda Tn (detik)

Pse

ud

o A

cce

lle

rati

on

Sp

ectr

a (

g)

Page 170: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 5.5 6.00.0

0.2

0.4

0.6

0.8

1.0

1.2

Spektra Respons Percepatan (ARS) Inelastik,x = 5%, PBA = 0.40g

= m1.0 = m

1.5 = m

2.0 = m

4.0 = m

6.0

Perioda Tn (detik)

Pse

ud

o A

cce

lle

rati

on

Sp

ectr

a (

g)

Page 171: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 5.5 6.00.0

20.0

40.0

60.0

80.0

Spektra Respons Deformasi (DRS) Inelastik,x = 5%, PBA = 0.40g

= m1.0

= m1.5

= m2.0

= m4.0

= m6.0

Perioda Te (detik)

Dis

pla

sem

en

, cm

Page 172: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 5.5 6.00.0

20.0

40.0

60.0

80.0

Spektra Respons Deformasi (DRS) Inelastik,x = 5%, PBA = 0.40g

= m1.0

= m1.5

= m2.0

= m4.0

= m6.0

Perioda Te (detik)

Dis

pla

sem

en

, cm

Page 173: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

Elastic Pseudo-Accelleration Design Spectrum

Page 174: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

Inelastik Spektra, PGA=0.4g

Page 175: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

Inelastic Design Spectra (IDS)_Prof. A.K. Chopra1. Equivalent Linear System (Rosenblueth, Herrera, Chopra)2. Elastic Design Spectrum (Newmark, Hall)3. Inelastic Design Spectrum (Newmark, Hall)4. Metoda IDS (Inelastic Design Spectra)

A. Variasi perioda dan redaman viskos sistem linear ekivalen dengan duktilitas

0 0.5 1 1.5 2 2.5 3 3.5a = 0.00 1.00 1.00 1.00 1.22 1.41 1.58 1.73 1.87

a = 0.05 1.00 1.00 1.00 1.21 1.38 1.52 1.65 1.76

a = 0.10 1.00 1.00 1.00 1.20 1.35 1.47 1.58 1.67

a = 0.20 1.00 1.00 1.00 1.17 1.29 1.39 1.46 1.53

a

1. Hubungan perioda untuk sistem linear ekivalen dengan duktilitas

Fa

kto

r ke

kaku

an

p

asc

a-lu

luh

, a

Faktor Duktilitas Struktur, m

0 1 2 3 4 5 6 7 8 9 100.00

0.50

1.00

1.50

2.00

2.50

3.00

3.50

Variasi Perioda terhadap Faktor Duktilitas

= a0.00 = a

0.05 = a

0.10

Faktor Duktilitas, m

Te

q :

Tn

Page 176: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

0 0.5 1 1.5 2 2.5 3 3.5a = 0.00 0.00 0.00 0.00 0.21 0.32 0.38 0.42 0.45

a = 0.05 0.00 0.00 0.00 0.19 0.27 0.32 0.35 0.37

a = 0.10 0.00 0.00 0.00 0.17 0.25 0.29 0.31 0.31

a = 0.20 0.00 0.00 0.00 0.14 0.20 0.22 0.23 0.23

2. Hubungan redaman viskos ekivalen pada sistem linear ekivalen dengan duktilitas

Fa

kto

r ke

kaku

an

p

asc

a-lu

luh

, a

Faktor Duktilitas Struktur, m

0 1 2 3 4 5 6 7 8 9 100.00

0.50

1.00

1.50

2.00

2.50

3.00

3.50

Variasi Perioda terhadap Faktor Duktilitas

= a0.00 = a

0.05 = a

0.10

Faktor Duktilitas, m

Te

q :

Tn

0.00

0.10

0.20

0.30

0.40

0.50

0.60

0.70

Variasi Redaman Viskos Ekivalen terhadap Faktor Duktilitas

= a0.00 = a

0.05 = a

0.10

Faktor Duktilitas, m

Re

da

ma

n v

isko

s e

kiv

ale

n, xe

q

Page 177: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

B. Elastic Design Spectrum

Nilai-nilai maksimum spektra tripartie Newmark-Hall

x (%) A

2.00 3.66 2.92 2.42 1.0g

3.00 3.24 2.64 2.24 981 cm/s2

5.00 2.71 2.30 2.01

10.00 1.99 1.84 1.69

NoPBA 1.0g

1 0.010 1.00002 0.020 1.00003 0.030 1.0000

4 0.033 1.00005 0.034 1.08236 0.060 1.61447 0.070 1.79948 0.080 1.97689 0.090 2.1477

10 0.125 2.706511 0.130 2.706512 0.140 2.706513 0.150 2.706514 0.160 2.706515 0.170 2.706516 0.180 2.706517 0.190 2.706518 0.200 2.706519 0.210 2.706520 0.220 2.706521 0.230 2.706522 0.240 2.706523 0.250 2.706524 0.260 2.706525 0.270 2.7065

1. Faktor Amplifikasi Spektrum Percepatan,

Kecepatan dan Displasemen vs Redaman Redaman x = 5%

aA aV aD

2. Elastic Pseudo-Accelleration Design Spectrum (Newmark-Hall Procedure)

Tabel Respons Spektra Percepatan Elastik, x = x0 = 5%

Period (s) (m=1)

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 5.5 6.00.0

0.5

1.0

1.5

2.0

2.5

3.0

Pseudo Respons Percepatan Elastik Newmark-Hall (x=5%) Profil Tanah Keras (Tipe B), PBA = 1.0g, m=1

Perioda Tn (detik)

Pseudo-A

ccellera

tion S

pectr

a (

g)

Page 178: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

26 0.280 2.706527 0.290 2.706528 0.300 2.706529 0.310 2.706530 0.320 2.706531 0.330 2.706532 0.340 2.706533 0.350 2.706534 0.360 2.706535 0.370 2.706536 0.380 2.706537 0.390 2.706538 0.400 2.706539 0.410 2.706540 0.420 2.706541 0.430 2.706542 0.440 2.706543 0.450 2.706544 0.460 2.706545 0.470 2.706546 0.480 2.706547 0.490 2.706548 0.500 2.706549 0.510 2.706550 0.520 2.706551 0.530 2.706552 0.540 2.706553 0.550 2.706554 0.560 2.706555 0.570 2.706556 0.580 2.706557 0.590 2.706558 0.600 2.706559 0.610 2.706560 0.620 2.706561 0.630 2.706562 0.640 2.706563 0.650 2.706564 0.660 2.7065

65 0.667 2.706566 0.670 2.686667 0.680 2.647168 0.690 2.608769 0.700 2.571470 0.710 2.535271 0.720 2.500072 0.730 2.465873 0.740 2.4324

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 5.5 6.00.0

0.5

1.0

1.5

2.0

2.5

3.0

Pseudo Respons Percepatan Elastik Newmark-Hall (x=5%) Profil Tanah Keras (Tipe B), PBA = 1.0g, m=1

Perioda Tn (detik)

Pseudo-A

ccellera

tion S

pectr

a (

g)

Page 179: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

74 0.750 2.400075 0.760 2.368476 0.770 2.337777 0.780 2.307778 0.790 2.278579 0.800 2.250080 0.810 2.222281 0.820 2.195182 0.830 2.168783 0.840 2.142984 0.850 2.117685 0.860 2.093086 0.870 2.069087 0.880 2.045588 0.890 2.022589 0.900 2.000090 0.910 1.978091 0.920 1.956592 0.930 1.935593 0.940 1.914994 0.950 1.894795 0.960 1.8750

96 0.970 1.855797 0.980 1.836798 0.990 1.818299 1.000 1.8000

100 1.100 1.6364101 1.200 1.5000102 1.300 1.3846103 1.400 1.2857104 1.500 1.2000105 1.600 1.1250106 1.700 1.0588107 1.800 1.0000108 1.900 0.9474109 2.000 0.9000110 2.100 0.8571111 2.200 0.8182112 2.300 0.7826113 2.400 0.7500114 2.500 0.7200115 2.600 0.6923116 2.700 0.6667117 2.800 0.6429118 2.900 0.6207119 3.000 0.6000120 3.100 0.5806121 3.200 0.5625

PGA = 1.0g (ARS)

Page 180: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

122 3.300 0.5455123 3.400 0.5294124 3.500 0.5143125 3.600 0.5000126 3.700 0.4865127 3.800 0.4737128 3.900 0.4615129 4.000 0.4500130 4.100 0.4390

131 4.120 0.4369132 4.150 0.4297133 4.200 0.4195134 4.300 0.4002135 4.400 0.3822136 4.500 0.3654137 4.600 0.3497138 4.700 0.3350139 4.800 0.3212140 4.900 0.3082141 5.000 0.2960142 5.500 0.2446143 6.000 0.2056

144 10.000 0.0740145 11.000 0.0612146 20.000 0.0185147 25.000 0.0118

Displasemen 1.0gNo

PBA 1.0g

1 0.010 0.00252 0.020 0.00993 0.030 0.0224

4 0.033 0.02715 0.034 0.03116 0.060 0.14447 0.070 0.2191

PGA = 1.0g (ARS)

Tabel Respons Spektra Displasemen, x = x0 = 5%

Period (s) (m=1)

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 5.5 6.00.0

25.0

50.0

75.0

100.0

125.0

150.0

175.0

200.0

Elastic Deformation Design Spectrum, x = 5%

Perioda Tn (detik)

Um

, cm

)

Page 181: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

8 0.080 0.31449 0.090 0.4323

10 0.125 1.050811 0.130 1.136612 0.140 1.318213 0.150 1.513214 0.160 1.721715 0.170 1.943616 0.180 2.179017 0.190 2.427918 0.200 2.690219 0.210 2.965920 0.220 3.255121 0.230 3.557822 0.240 3.873823 0.250 4.203424 0.260 4.546425 0.270 4.902826 0.280 5.272727 0.290 5.656128 0.300 6.052929 0.310 6.463130 0.320 6.886831 0.330 7.324032 0.340 7.774633 0.350 8.238634 0.360 8.716235 0.370 9.207136 0.380 9.711537 0.390 10.229438 0.400 10.760739 0.410 11.305440 0.420 11.863741 0.430 12.435342 0.440 13.020443 0.450 13.619044 0.460 14.231045 0.470 14.856546 0.480 15.495447 0.490 16.147748 0.500 16.813649 0.510 17.492850 0.520 18.185651 0.530 18.891752 0.540 19.611353 0.550 20.344454 0.560 21.090955 0.570 21.8509

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 5.5 6.00.0

25.0

50.0

75.0

100.0

125.0

150.0

175.0

200.0

Elastic Deformation Design Spectrum, x = 5%

Perioda Tn (detik)

Um

, cm

)

Page 182: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

56 0.580 22.624357 0.590 23.411258 0.600 24.211559 0.610 25.025360 0.620 25.852561 0.630 26.693262 0.640 27.547363 0.650 28.414964 0.660 29.2960

65 0.667 29.920766 0.670 29.967967 0.680 30.415268 0.690 30.862569 0.700 31.309870 0.710 31.757071 0.720 32.204372 0.730 32.651673 0.740 33.098974 0.750 33.546275 0.760 33.993576 0.770 34.440777 0.780 34.888078 0.790 35.335379 0.800 35.782680 0.810 36.229981 0.820 36.677282 0.830 37.124483 0.840 37.571784 0.850 38.019085 0.860 38.466386 0.870 38.913687 0.880 39.360888 0.890 39.808189 0.900 40.255490 0.910 40.702791 0.920 41.150092 0.930 41.597393 0.940 42.044594 0.950 42.491895 0.960 42.939196 0.970 43.386497 0.980 43.833798 0.990 44.281099 1.000 44.7282

100 1.100 49.2011101 1.200 53.6739102 1.300 58.1467103 1.400 62.6195104 1.500 67.0924

Page 183: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

105 1.600 71.5652106 1.700 76.0380107 1.800 80.5108108 1.900 84.9836109 2.000 89.4565110 2.100 93.9293111 2.200 98.4021112 2.300 102.8749113 2.400 107.3478114 2.500 111.8206115 2.600 116.2934116 2.700 120.7662117 2.800 125.2391118 2.900 129.7119119 3.000 134.1847120 3.100 138.6575121 3.200 143.1304122 3.300 147.6032123 3.400 152.0760124 3.500 156.5488125 3.600 161.0217126 3.700 165.4945127 3.800 169.9673128 3.900 174.4401129 4.000 178.9129130 4.100 183.3858

131 4.120 184.2803132 4.150 183.8828133 4.200 183.8828134 4.300 183.8828135 4.400 183.8828136 4.500 183.8828137 4.600 183.8828138 4.700 183.8828139 4.800 183.8828140 4.900 183.8828141 5.000 183.8828142 5.500 183.8828143 6.000 183.8828

144 10.000 183.8828145 11.000 183.8828146 20.000 183.8828147 25.000 183.8828

Page 184: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

Parameter Integrasi Dt Spektra Newmark-Hall:

b = 0.25

g = 0.50

Faktor Reduksi Gaya, R

NoPBA 0.4g R PBA 0.4g R PBA 0.4g R PBA 0.4g

1.0 1.5 2.0 4.01 0.010 0.4000 1.0000 0.4000 1.0000 0.4000 1.0000 0.4000

2 0.020 0.4000 1.0000 0.4000 1.0000 0.4000 1.0000 0.4000

3 0.030 0.4000 1.0000 0.4000 1.0000 0.4000 1.0000 0.4000

Ta 4 0.033 0.4000 1.0000 0.4000 1.0000 0.4000 1.0000 0.4000

Period (s)

Page 185: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

5 0.034 0.4329 1.0000 0.4329 1.0905 0.4329 1.1472 0.4329

6 0.060 0.6457 1.0000 0.6457 1.0905 0.6457 1.1472 0.6457

7 0.070 0.7198 1.0000 0.7198 1.0905 0.7198 1.1472 0.7198

8 0.080 0.7907 1.0000 0.7907 1.0905 0.7907 1.1472 0.7907

9 0.110 0.8591 1.0000 0.8591 1.0905 0.8591 1.1472 0.8591

Tb 10 0.125 1.0826 1.0000 1.0826 1.0905 1.0826 1.1472 1.0826

11 0.130 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

12 0.140 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

13 0.150 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

14 0.160 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

15 0.170 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

16 0.180 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

17 0.190 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

18 0.200 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

19 0.210 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

20 0.220 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

21 0.230 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

22 0.240 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

23 0.250 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

24 0.260 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

25 0.270 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

26 0.280 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

27 0.290 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

28 0.300 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

29 0.310 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

30 0.320 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

Tc8.0 31 0.330 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

32 0.340 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

33 0.350 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

34 0.360 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

Tc6.0 35 0.370 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

36 0.380 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

37 0.390 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

38 0.400 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

39 0.410 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

40 0.420 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

41 0.430 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

42 0.440 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

Tc4.0 43 0.450 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

44 0.460 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

45 0.470 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

Page 186: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

46 0.480 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

47 0.490 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

48 0.500 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

49 0.510 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

50 0.520 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

51 0.530 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

52 0.540 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

53 0.550 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

54 0.560 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

55 0.570 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

56 0.580 1.0826 1.0000 1.0826 1.4142 1.0826 1.7321 1.0826

Tc2.0 57 0.590 1.0826 1.0000 1.0826 1.4142 1.0826 1.7691 1.0826

58 0.600 1.0826 1.0000 1.0826 1.4142 1.0826 1.7991 1.0826

59 0.610 1.0826 1.0000 1.0826 1.4142 1.0826 1.8291 1.0826

60 0.620 1.0826 1.0000 1.0826 1.4142 1.0826 1.8591 1.0826

Tc1.5 61 0.630 1.0826 1.0000 1.0826 1.4168 1.0826 1.8891 1.0826

62 0.640 1.0826 1.0000 1.0826 1.4393 1.0826 1.9190 1.0826

63 0.650 1.0826 1.0000 1.0826 1.4618 1.0826 1.9490 1.0826

64 0.660 1.0826 1.0000 1.0826 1.4843 1.0826 1.9790 1.0826

Tc 65 0.667 1.0826 1.0000 1.0826 1.5000 1.0826 2.0000 1.0826

66 0.670 1.0746 1.0000 1.0746 1.5000 1.0746 2.0000 1.0746

67 0.680 1.0588 1.0000 1.0588 1.5000 1.0588 2.0000 1.0588

68 0.690 1.0435 1.0000 1.0435 1.5000 1.0435 2.0000 1.0435

69 0.700 1.0286 1.0000 1.0286 1.5000 1.0286 2.0000 1.0286

70 0.710 1.0141 1.0000 1.0141 1.5000 1.0141 2.0000 1.0141

71 0.720 1.0000 1.0000 1.0000 1.5000 1.0000 2.0000 1.0000

72 0.730 0.9863 1.0000 0.9863 1.5000 0.9863 2.0000 0.9863

73 0.740 0.9730 1.0000 0.9730 1.5000 0.9730 2.0000 0.9730

74 0.750 0.9600 1.0000 0.9600 1.5000 0.9600 2.0000 0.9600

75 0.760 0.9474 1.0000 0.9474 1.5000 0.9474 2.0000 0.9474

76 0.770 0.9351 1.0000 0.9351 1.5000 0.9351 2.0000 0.9351

77 0.780 0.9231 1.0000 0.9231 1.5000 0.9231 2.0000 0.9231

78 0.790 0.9114 1.0000 0.9114 1.5000 0.9114 2.0000 0.9114

79 0.800 0.9000 1.0000 0.9000 1.5000 0.9000 2.0000 0.9000

80 0.810 0.8889 1.0000 0.8889 1.5000 0.8889 2.0000 0.8889

81 0.820 0.8780 1.0000 0.8780 1.5000 0.8780 2.0000 0.8780

82 0.830 0.8675 1.0000 0.8675 1.5000 0.8675 2.0000 0.8675

83 0.840 0.8571 1.0000 0.8571 1.5000 0.8571 2.0000 0.8571

84 0.850 0.8471 1.0000 0.8471 1.5000 0.8471 2.0000 0.8471

85 0.860 0.8372 1.0000 0.8372 1.5000 0.8372 2.0000 0.8372

86 0.870 0.8276 1.0000 0.8276 1.5000 0.8276 2.0000 0.8276

Page 187: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

87 0.880 0.8182 1.0000 0.8182 1.5000 0.8182 2.0000 0.8182

88 0.890 0.8090 1.0000 0.8090 1.5000 0.8090 2.0000 0.8090

89 0.900 0.8000 1.0000 0.8000 1.5000 0.8000 2.0000 0.8000

90 0.910 0.7912 1.0000 0.7912 1.5000 0.7912 2.0000 0.7912

91 0.920 0.7826 1.0000 0.7826 1.5000 0.7826 2.0000 0.7826

92 0.930 0.7742 1.0000 0.7742 1.5000 0.7742 2.0000 0.7742

93 0.940 0.7660 1.0000 0.7660 1.5000 0.7660 2.0000 0.7660

94 0.950 0.7579 1.0000 0.7579 1.5000 0.7579 2.0000 0.7579

95 0.960 0.7500 1.0000 0.7500 1.5000 0.7500 2.0000 0.7500

96 0.970 0.7423 1.0000 0.7423 1.5000 0.7423 2.0000 0.7423

97 0.980 0.7347 1.0000 0.7347 1.5000 0.7347 2.0000 0.7347

98 0.990 0.7273 1.0000 0.7273 1.5000 0.7273 2.0000 0.7273

99 1.000 0.7200 1.0000 0.7200 1.5000 0.7200 2.0000 0.7200

100 1.100 0.6545 1.0000 0.6545 1.5000 0.6545 2.0000 0.6545

101 1.200 0.6000 1.0000 0.6000 1.5000 0.6000 2.0000 0.6000

102 1.300 0.5538 1.0000 0.5538 1.5000 0.5538 2.0000 0.5538

103 1.400 0.5143 1.0000 0.5143 1.5000 0.5143 2.0000 0.5143

104 1.500 0.4800 1.0000 0.4800 1.5000 0.4800 2.0000 0.4800

105 1.600 0.4500 1.0000 0.4500 1.5000 0.4500 2.0000 0.4500

106 1.700 0.4235 1.0000 0.4235 1.5000 0.4235 2.0000 0.4235

107 1.800 0.4000 1.0000 0.4000 1.5000 0.4000 2.0000 0.4000

108 1.900 0.3789 1.0000 0.3789 1.5000 0.3789 2.0000 0.3789

109 2.000 0.3600 1.0000 0.3600 1.5000 0.3600 2.0000 0.3600

110 2.100 0.3429 1.0000 0.3429 1.5000 0.3429 2.0000 0.3429

111 2.200 0.3273 1.0000 0.3273 1.5000 0.3273 2.0000 0.3273

112 2.300 0.3130 1.0000 0.3130 1.5000 0.3130 2.0000 0.3130

113 2.400 0.3000 1.0000 0.3000 1.5000 0.3000 2.0000 0.3000

114 2.500 0.2880 1.0000 0.2880 1.5000 0.2880 2.0000 0.2880

115 2.600 0.2769 1.0000 0.2769 1.5000 0.2769 2.0000 0.2769

116 2.700 0.2667 1.0000 0.2667 1.5000 0.2667 2.0000 0.2667

117 2.800 0.2571 1.0000 0.2571 1.5000 0.2571 2.0000 0.2571

118 2.900 0.2483 1.0000 0.2483 1.5000 0.2483 2.0000 0.2483

119 3.000 0.2400 1.0000 0.2400 1.5000 0.2400 2.0000 0.2400

120 3.100 0.2323 1.0000 0.2323 1.5000 0.2323 2.0000 0.2323

121 3.200 0.2250 1.0000 0.2250 1.5000 0.2250 2.0000 0.2250

122 3.300 0.2182 1.0000 0.2182 1.5000 0.2182 2.0000 0.2182

123 3.400 0.2118 1.0000 0.2118 1.5000 0.2118 2.0000 0.2118

124 3.500 0.2057 1.0000 0.2057 1.5000 0.2057 2.0000 0.2057

125 3.600 0.2000 1.0000 0.2000 1.5000 0.2000 2.0000 0.2000

126 3.700 0.1946 1.0000 0.1946 1.5000 0.1946 2.0000 0.1946

127 3.800 0.1895 1.0000 0.1895 1.5000 0.1895 2.0000 0.1895

Page 188: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

128 3.900 0.1846 1.0000 0.1846 1.5000 0.1846 2.0000 0.1846

129 4.000 0.1800 1.0000 0.1800 1.5000 0.1800 2.0000 0.1800

130 4.100 0.1756 1.0000 0.1756 1.5000 0.1756 2.0000 0.1756

131 4.120 0.1748 1.0000 0.1748 1.5000 0.1748 2.0000 0.1748

132 4.150 0.1719 1.0000 0.1719 1.5000 0.1719 2.0000 0.1719

133 4.200 0.1678 1.0000 0.1678 1.5000 0.1678 2.0000 0.1678

134 4.300 0.1601 1.0000 0.1601 1.5000 0.1601 2.0000 0.1601

135 4.400 0.1529 1.0000 0.1529 1.5000 0.1529 2.0000 0.1529

136 4.500 0.1462 1.0000 0.1462 1.5000 0.1462 2.0000 0.1462

137 4.600 0.1399 1.0000 0.1399 1.5000 0.1399 2.0000 0.1399

138 4.700 0.1340 1.0000 0.1340 1.5000 0.1340 2.0000 0.1340

139 4.800 0.1285 1.0000 0.1285 1.5000 0.1285 2.0000 0.1285

140 4.900 0.1233 1.0000 0.1233 1.5000 0.1233 2.0000 0.1233

141 5.000 0.1184 1.0000 0.1184 1.5000 0.1184 2.0000 0.1184

142 5.500 0.0979 1.0000 0.0979 1.5000 0.0979 2.0000 0.0979

143 6.000 0.0822 1.0000 0.0822 1.5000 0.0822 2.0000 0.0822

144 10.000 0.0296 1.0000 0.0296 1.5000 0.0296 2.0000 0.0296

145 11.000 0.0245 1.0000 0.0245 1.5000 0.0245 2.0000 0.0245

146 20.000 0.0074 1.0000 0.0074 1.5000 0.0074 2.0000 0.0074

147 25.000 0.0047 1.0000 0.0047 1.5000 0.0047 2.0000 0.0047

Page 189: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

Inelastic Design Spectra (IDS)_Prof. A.K. Chopra

A. Variasi perioda dan redaman viskos sistem linear ekivalen dengan duktilitas

4 4.5 5 5.5 6 6.5 7 7.5 82.00 2.12 2.24 2.35 2.45 2.55 2.65 2.74 2.83

1.87 1.96 2.04 2.12 2.19 2.26 2.32 2.38 2.43

1.75 1.83 1.89 1.95 2.00 2.05 2.09 2.13 2.17

1.58 1.63 1.67 1.70 1.73 1.76 1.78 1.81 1.83

Faktor Duktilitas Struktur, m

0 1 2 3 4 5 6 7 8 9 100.00

0.50

1.00

1.50

2.00

2.50

3.00

3.50

Variasi Perioda terhadap Faktor Duktilitas

= a0.00 = a

0.05 = a

0.10

Faktor Duktilitas, m

Te

q :

Tn

Page 190: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

4 4.5 5 5.5 6 6.5 7 7.5 80.48 0.50 0.51 0.52 0.53 0.54 0.55 0.55 0.56

0.38 0.38 0.39 0.39 0.39 0.39 0.38 0.38 0.38

0.32 0.32 0.32 0.31 0.31 0.30 0.30 0.29 0.29

0.22 0.22 0.21 0.21 0.20 0.20 0.19 0.18 0.18

Hubungan redaman viskos ekivalen pada sistem linear ekivalen dengan duktilitas

Faktor Duktilitas Struktur, m

0 1 2 3 4 5 6 7 8 9 100.00

0.50

1.00

1.50

2.00

2.50

3.00

3.50

Variasi Perioda terhadap Faktor Duktilitas

= a0.00 = a

0.05 = a

0.10

Faktor Duktilitas, m

Te

q :

Tn

0.00

0.10

0.20

0.30

0.40

0.50

0.60

0.70

Variasi Redaman Viskos Ekivalen terhadap Faktor Duktilitas

= a0.00 = a

0.05 = a

0.10

Faktor Duktilitas, m

Re

da

ma

n v

isko

s e

kiv

ale

n, xe

q

Page 191: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

Nilai-nilai maksimum spektra tripartie Newmark-Hall

V D

122 cm/s 91.4 cm

122 cm/s 91.4 cm

48 in/s 36 in

NoPBA 0.4g

1 0.010 0.40002 0.020 0.40003 0.030 0.4000

4 0.033 0.40005 0.034 0.43296 0.060 0.64577 0.070 0.71988 0.080 0.79079 0.090 0.8591

10 0.125 1.082611 0.130 1.082612 0.140 1.082613 0.150 1.082614 0.160 1.082615 0.170 1.082616 0.180 1.082617 0.190 1.082618 0.200 1.082619 0.210 1.082620 0.220 1.082621 0.230 1.082622 0.240 1.082623 0.250 1.082624 0.260 1.082625 0.270 1.0826

Redaman x = 5%

Elastic Pseudo-Accelleration Design Spectrum (Newmark-Hall Procedure)

Period (s) (m=1)

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 5.5 6.00.0

0.5

1.0

1.5

2.0

2.5

3.0

Pseudo Respons Percepatan Elastik Newmark-Hall (x=5%) Profil Tanah Keras (Tipe B), PBA = 1.0g, m=1

Perioda Tn (detik)

Pseudo-A

ccellera

tion S

pectr

a (

g)

Page 192: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

26 0.280 1.082627 0.290 1.082628 0.300 1.082629 0.310 1.082630 0.320 1.082631 0.330 1.082632 0.340 1.082633 0.350 1.082634 0.360 1.082635 0.370 1.082636 0.380 1.082637 0.390 1.082638 0.400 1.082639 0.410 1.082640 0.420 1.082641 0.430 1.082642 0.440 1.082643 0.450 1.082644 0.460 1.082645 0.470 1.082646 0.480 1.082647 0.490 1.082648 0.500 1.082649 0.510 1.082650 0.520 1.082651 0.530 1.082652 0.540 1.082653 0.550 1.082654 0.560 1.082655 0.570 1.082656 0.580 1.082657 0.590 1.082658 0.600 1.082659 0.610 1.082660 0.620 1.082661 0.630 1.082662 0.640 1.082663 0.650 1.082664 0.660 1.0826

65 0.667 1.082666 0.670 1.074667 0.680 1.058868 0.690 1.043569 0.700 1.028670 0.710 1.014171 0.720 1.000072 0.730 0.986373 0.740 0.9730

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 5.5 6.00.0

0.5

1.0

1.5

2.0

2.5

3.0

Pseudo Respons Percepatan Elastik Newmark-Hall (x=5%) Profil Tanah Keras (Tipe B), PBA = 1.0g, m=1

Perioda Tn (detik)

Pseudo-A

ccellera

tion S

pectr

a (

g)

Page 193: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

74 0.750 0.960075 0.760 0.947476 0.770 0.935177 0.780 0.923178 0.790 0.911479 0.800 0.900080 0.810 0.888981 0.820 0.878082 0.830 0.867583 0.840 0.857184 0.850 0.847185 0.860 0.837286 0.870 0.827687 0.880 0.818288 0.890 0.809089 0.900 0.800090 0.910 0.791291 0.920 0.782692 0.930 0.774293 0.940 0.766094 0.950 0.757995 0.960 0.7500

96 0.970 0.742397 0.980 0.734798 0.990 0.727399 1.000 0.7200

100 1.100 0.6545101 1.200 0.6000102 1.300 0.5538103 1.400 0.5143104 1.500 0.4800105 1.600 0.4500106 1.700 0.4235107 1.800 0.4000108 1.900 0.3789109 2.000 0.3600110 2.100 0.3429111 2.200 0.3273112 2.300 0.3130113 2.400 0.3000114 2.500 0.2880115 2.600 0.2769116 2.700 0.2667117 2.800 0.2571118 2.900 0.2483119 3.000 0.2400120 3.100 0.2323121 3.200 0.2250

PGA = 1.0g (ARS)

Page 194: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

122 3.300 0.2182123 3.400 0.2118124 3.500 0.2057125 3.600 0.2000126 3.700 0.1946127 3.800 0.1895128 3.900 0.1846129 4.000 0.1800130 4.100 0.1756

131 4.120 0.1748132 4.150 0.1719133 4.200 0.1678134 4.300 0.1601135 4.400 0.1529136 4.500 0.1462137 4.600 0.1399138 4.700 0.1340139 4.800 0.1285140 4.900 0.1233141 5.000 0.1184142 5.500 0.0979143 6.000 0.0822

144 10.000 0.0296145 11.000 0.0245146 20.000 0.0074147 25.000 0.0047

Displasemen 1.0g Displasemen 0.4gNo

PBA 0.4g

1 0.010 0.00102 0.020 0.00403 0.030 0.0089

4 0.033 0.01085 0.034 0.01246 0.060 0.05787 0.070 0.0876

PGA = 1.0g (ARS)

Period (s) (m=1)

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 5.5 6.00.0

25.0

50.0

75.0

100.0

125.0

150.0

175.0

200.0

Elastic Deformation Design Spectrum, x = 5%

Perioda Tn (detik)

Um

, cm

)

Page 195: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

8 0.080 0.12589 0.090 0.1729

10 0.125 0.420311 0.130 0.454612 0.140 0.527313 0.150 0.605314 0.160 0.688715 0.170 0.777516 0.180 0.871617 0.190 0.971218 0.200 1.076119 0.210 1.186420 0.220 1.302021 0.230 1.423122 0.240 1.549523 0.250 1.681424 0.260 1.818625 0.270 1.961126 0.280 2.109127 0.290 2.262428 0.300 2.421229 0.310 2.585330 0.320 2.754731 0.330 2.929632 0.340 3.109833 0.350 3.295534 0.360 3.486535 0.370 3.682836 0.380 3.884637 0.390 4.091738 0.400 4.304339 0.410 4.522240 0.420 4.745541 0.430 4.974142 0.440 5.208243 0.450 5.447644 0.460 5.692445 0.470 5.942646 0.480 6.198247 0.490 6.459148 0.500 6.725449 0.510 6.997150 0.520 7.274251 0.530 7.556752 0.540 7.844553 0.550 8.137854 0.560 8.436455 0.570 8.7404

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 5.5 6.00.0

25.0

50.0

75.0

100.0

125.0

150.0

175.0

200.0

Elastic Deformation Design Spectrum, x = 5%

Perioda Tn (detik)

Um

, cm

)

Page 196: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

56 0.580 9.049757 0.590 9.364558 0.600 9.684659 0.610 10.010160 0.620 10.341061 0.630 10.677362 0.640 11.018963 0.650 11.366064 0.660 11.7184

65 0.667 11.968366 0.670 11.987267 0.680 12.166168 0.690 12.345069 0.700 12.523970 0.710 12.702871 0.720 12.881772 0.730 13.060673 0.740 13.239674 0.750 13.418575 0.760 13.597476 0.770 13.776377 0.780 13.955278 0.790 14.134179 0.800 14.313080 0.810 14.491981 0.820 14.670982 0.830 14.849883 0.840 15.028784 0.850 15.207685 0.860 15.386586 0.870 15.565487 0.880 15.744388 0.890 15.923389 0.900 16.102290 0.910 16.281191 0.920 16.460092 0.930 16.638993 0.940 16.817894 0.950 16.996795 0.960 17.175696 0.970 17.354697 0.980 17.533598 0.990 17.712499 1.000 17.8913

100 1.100 19.6804101 1.200 21.4696102 1.300 23.2587103 1.400 25.0478104 1.500 26.8369

Page 197: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

105 1.600 28.6261106 1.700 30.4152107 1.800 32.2043108 1.900 33.9935109 2.000 35.7826110 2.100 37.5717111 2.200 39.3608112 2.300 41.1500113 2.400 42.9391114 2.500 44.7282115 2.600 46.5174116 2.700 48.3065117 2.800 50.0956118 2.900 51.8848119 3.000 53.6739120 3.100 55.4630121 3.200 57.2521122 3.300 59.0413123 3.400 60.8304124 3.500 62.6195125 3.600 64.4087126 3.700 66.1978127 3.800 67.9869128 3.900 69.7760129 4.000 71.5652130 4.100 73.3543

131 4.120 73.7121132 4.150 73.5531133 4.200 73.5531134 4.300 73.5531135 4.400 73.5531136 4.500 73.5531137 4.600 73.5531138 4.700 73.5531139 4.800 73.5531140 4.900 73.5531141 5.000 73.5531142 5.500 73.5531143 6.000 73.5531

144 10.000 73.5531145 11.000 73.5531146 20.000 73.5531147 25.000 73.5531

Page 198: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

Parameter Integrasi Dt Spektra Newmark-Hall:

R PBA 0.4g R PBA 0.4g R NoPeriod (s) 1

6.0 8.01.0000 0.4000 1.0000 0.4000 1.0000 1 0.010 0.4000

1.0000 0.4000 1.0000 0.4000 1.0000 2 0.020 0.4000

1.0000 0.4000 1.0000 0.4000 1.0000 3 0.030 0.4000

1.0000 0.4000 1.0000 0.4000 1.0000 Ta 4 0.033 0.4000

m = 1.0

Page 199: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

1.2754 0.4329 1.3495 0.4329 1.4029 5 0.034 0.4329

1.2754 0.6457 1.3495 0.6457 1.4029 6 0.060 0.6457

1.2754 0.7198 1.3495 0.7198 1.4029 7 0.070 0.7198

1.2754 0.7907 1.3495 0.7907 1.4029 8 0.080 0.7907

1.2754 0.8591 1.3495 0.8591 1.4029 9 0.110 0.8591

1.2754 1.0826 1.3495 1.0826 1.4029 Tb 10 0.125 1.0826

2.6458 1.0826 3.3166 1.0826 3.8730 11 0.130 1.0826

2.6458 1.0826 3.3166 1.0826 3.8730 12 0.140 1.0826

2.6458 1.0826 3.3166 1.0826 3.8730 13 0.150 1.0826

2.6458 1.0826 3.3166 1.0826 3.8730 14 0.160 1.0826

2.6458 1.0826 3.3166 1.0826 3.8730 15 0.170 1.0826

2.6458 1.0826 3.3166 1.0826 3.8730 16 0.180 1.0826

2.6458 1.0826 3.3166 1.0826 3.8730 17 0.190 1.0826

2.6458 1.0826 3.3166 1.0826 3.8730 18 0.200 1.0826

2.6458 1.0826 3.3166 1.0826 3.8730 19 0.210 1.0826

2.6458 1.0826 3.3166 1.0826 3.8730 20 0.220 1.0826

2.6458 1.0826 3.3166 1.0826 3.8730 21 0.230 1.0826

2.6458 1.0826 3.3166 1.0826 3.8730 22 0.240 1.0826

2.6458 1.0826 3.3166 1.0826 3.8730 23 0.250 1.0826

2.6458 1.0826 3.3166 1.0826 3.8730 24 0.260 1.0826

2.6458 1.0826 3.3166 1.0826 3.8730 25 0.270 1.0826

2.6458 1.0826 3.3166 1.0826 3.8730 26 0.280 1.0826

2.6458 1.0826 3.3166 1.0826 3.8730 27 0.290 1.0826

2.6458 1.0826 3.3166 1.0826 3.8730 28 0.300 1.0826

2.6458 1.0826 3.3166 1.0826 3.8730 29 0.310 1.0826

2.6458 1.0826 3.3166 1.0826 3.8730 30 0.320 1.0826

2.6458 1.0826 3.3166 1.0826 3.9580 31 0.330 1.0826

2.6458 1.0826 3.3166 1.0826 4.0780 32 0.340 1.0826

2.6458 1.0826 3.3166 1.0826 4.1979 33 0.350 1.0826

2.6458 1.0826 3.3166 1.0826 4.3178 34 0.360 1.0826

2.6458 1.0826 3.3283 1.0826 4.4378 35 0.370 1.0826

2.6458 1.0826 3.4183 1.0826 4.5577 36 0.380 1.0826

2.6458 1.0826 3.5082 1.0826 4.6777 37 0.390 1.0826

2.6458 1.0826 3.5982 1.0826 4.7976 38 0.400 1.0826

2.6458 1.0826 3.6882 1.0826 4.9175 39 0.410 1.0826

2.6458 1.0826 3.7781 1.0826 5.0375 40 0.420 1.0826

2.6458 1.0826 3.8681 1.0826 5.1574 41 0.430 1.0826

2.6458 1.0826 3.9580 1.0826 5.2774 42 0.440 1.0826

2.6987 1.0826 4.0480 1.0826 5.3973 43 0.450 1.0826

2.7586 1.0826 4.1379 1.0826 5.5172 44 0.460 1.0826

2.8186 1.0826 4.2279 1.0826 5.6372 45 0.470 1.0826

Page 200: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

2.8786 1.0826 4.3178 1.0826 5.7571 46 0.480 1.0826

2.9385 1.0826 4.4078 1.0826 5.8771 47 0.490 1.0826

2.9985 1.0826 4.4978 1.0826 5.9970 48 0.500 1.0826

3.0585 1.0826 4.5877 1.0826 6.1169 49 0.510 1.0826

3.1184 1.0826 4.6777 1.0826 6.2369 50 0.520 1.0826

3.1784 1.0826 4.7676 1.0826 6.3568 51 0.530 1.0826

3.2384 1.0826 4.8576 1.0826 6.4768 52 0.540 1.0826

3.2984 1.0826 4.9475 1.0826 6.5967 53 0.550 1.0826

3.3583 1.0826 5.0375 1.0826 6.7166 54 0.560 1.0826

3.4183 1.0826 5.1274 1.0826 6.8366 55 0.570 1.0826

3.4783 1.0826 5.2174 1.0826 6.9565 56 0.580 1.0826

3.5382 1.0826 5.3073 1.0826 7.0765 57 0.590 1.0826

3.5982 1.0826 5.3973 1.0826 7.1964 Tc' 58 0.600 1.0826

3.6582 1.0826 5.4873 1.0826 7.3163 59 0.610 1.0826

3.7181 1.0826 5.5772 1.0826 7.4363 60 0.620 1.0826

3.7781 1.0826 5.6672 1.0826 7.5562 61 0.630 1.0826

3.8381 1.0826 5.7571 1.0826 7.6762 62 0.640 1.0826

3.8981 1.0826 5.8471 1.0826 7.7961 63 0.650 1.0826

3.9580 1.0826 5.9370 1.0826 7.9160 64 0.660 1.0826

4.0000 1.0826 6.0000 1.0826 8.0000 Tc 65 0.667 1.0826

4.0000 1.0746 6.0000 1.0746 8.0000 66 0.670 1.0746

4.0000 1.0588 6.0000 1.0588 8.0000 67 0.680 1.0588

4.0000 1.0435 6.0000 1.0435 8.0000 68 0.690 1.0435

4.0000 1.0286 6.0000 1.0286 8.0000 69 0.700 1.0286

4.0000 1.0141 6.0000 1.0141 8.0000 70 0.710 1.0141

4.0000 1.0000 6.0000 1.0000 8.0000 71 0.720 1.0000

4.0000 0.9863 6.0000 0.9863 8.0000 72 0.730 0.9863

4.0000 0.9730 6.0000 0.9730 8.0000 73 0.740 0.9730

4.0000 0.9600 6.0000 0.9600 8.0000 74 0.750 0.9600

4.0000 0.9474 6.0000 0.9474 8.0000 75 0.760 0.9474

4.0000 0.9351 6.0000 0.9351 8.0000 76 0.770 0.9351

4.0000 0.9231 6.0000 0.9231 8.0000 77 0.780 0.9231

4.0000 0.9114 6.0000 0.9114 8.0000 78 0.790 0.9114

4.0000 0.9000 6.0000 0.9000 8.0000 79 0.800 0.9000

4.0000 0.8889 6.0000 0.8889 8.0000 80 0.810 0.8889

4.0000 0.8780 6.0000 0.8780 8.0000 81 0.820 0.8780

4.0000 0.8675 6.0000 0.8675 8.0000 82 0.830 0.8675

4.0000 0.8571 6.0000 0.8571 8.0000 83 0.840 0.8571

4.0000 0.8471 6.0000 0.8471 8.0000 84 0.850 0.8471

4.0000 0.8372 6.0000 0.8372 8.0000 85 0.860 0.8372

4.0000 0.8276 6.0000 0.8276 8.0000 86 0.870 0.8276

Page 201: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

4.0000 0.8182 6.0000 0.8182 8.0000 87 0.880 0.8182

4.0000 0.8090 6.0000 0.8090 8.0000 88 0.890 0.8090

4.0000 0.8000 6.0000 0.8000 8.0000 89 0.900 0.8000

4.0000 0.7912 6.0000 0.7912 8.0000 90 0.910 0.7912

4.0000 0.7826 6.0000 0.7826 8.0000 91 0.920 0.7826

4.0000 0.7742 6.0000 0.7742 8.0000 92 0.930 0.7742

4.0000 0.7660 6.0000 0.7660 8.0000 93 0.940 0.7660

4.0000 0.7579 6.0000 0.7579 8.0000 94 0.950 0.7579

4.0000 0.7500 6.0000 0.7500 8.0000 95 0.960 0.7500

4.0000 0.7423 6.0000 0.7423 8.0000 96 0.970 0.7423

4.0000 0.7347 6.0000 0.7347 8.0000 97 0.980 0.7347

4.0000 0.7273 6.0000 0.7273 8.0000 98 0.990 0.7273

4.0000 0.7200 6.0000 0.7200 8.0000 99 1.000 0.7200

4.0000 0.6545 6.0000 0.6545 8.0000 100 1.100 0.6545

4.0000 0.6000 6.0000 0.6000 8.0000 101 1.200 0.6000

4.0000 0.5538 6.0000 0.5538 8.0000 102 1.300 0.5538

4.0000 0.5143 6.0000 0.5143 8.0000 103 1.400 0.5143

4.0000 0.4800 6.0000 0.4800 8.0000 104 1.500 0.4800

4.0000 0.4500 6.0000 0.4500 8.0000 105 1.600 0.4500

4.0000 0.4235 6.0000 0.4235 8.0000 106 1.700 0.4235

4.0000 0.4000 6.0000 0.4000 8.0000 107 1.800 0.4000

4.0000 0.3789 6.0000 0.3789 8.0000 108 1.900 0.3789

4.0000 0.3600 6.0000 0.3600 8.0000 109 2.000 0.3600

4.0000 0.3429 6.0000 0.3429 8.0000 110 2.100 0.3429

4.0000 0.3273 6.0000 0.3273 8.0000 111 2.200 0.3273

4.0000 0.3130 6.0000 0.3130 8.0000 112 2.300 0.3130

4.0000 0.3000 6.0000 0.3000 8.0000 113 2.400 0.3000

4.0000 0.2880 6.0000 0.2880 8.0000 114 2.500 0.2880

4.0000 0.2769 6.0000 0.2769 8.0000 115 2.600 0.2769

4.0000 0.2667 6.0000 0.2667 8.0000 116 2.700 0.2667

4.0000 0.2571 6.0000 0.2571 8.0000 117 2.800 0.2571

4.0000 0.2483 6.0000 0.2483 8.0000 118 2.900 0.2483

4.0000 0.2400 6.0000 0.2400 8.0000 119 3.000 0.2400

4.0000 0.2323 6.0000 0.2323 8.0000 120 3.100 0.2323

4.0000 0.2250 6.0000 0.2250 8.0000 121 3.200 0.2250

4.0000 0.2182 6.0000 0.2182 8.0000 122 3.300 0.2182

4.0000 0.2118 6.0000 0.2118 8.0000 123 3.400 0.2118

4.0000 0.2057 6.0000 0.2057 8.0000 124 3.500 0.2057

4.0000 0.2000 6.0000 0.2000 8.0000 125 3.600 0.2000

4.0000 0.1946 6.0000 0.1946 8.0000 126 3.700 0.1946

4.0000 0.1895 6.0000 0.1895 8.0000 127 3.800 0.1895

Page 202: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

4.0000 0.1846 6.0000 0.1846 8.0000 128 3.900 0.1846

4.0000 0.1800 6.0000 0.1800 8.0000 129 4.000 0.1800

4.0000 0.1756 6.0000 0.1756 8.0000 130 4.100 0.1756

4.0000 0.1748 6.0000 0.1748 8.0000 131 4.120 0.1748

4.0000 0.1719 6.0000 0.1719 8.0000 132 4.150 0.1719

4.0000 0.1678 6.0000 0.1678 8.0000 133 4.200 0.1678

4.0000 0.1601 6.0000 0.1601 8.0000 134 4.300 0.1601

4.0000 0.1529 6.0000 0.1529 8.0000 135 4.400 0.1529

4.0000 0.1462 6.0000 0.1462 8.0000 136 4.500 0.1462

4.0000 0.1399 6.0000 0.1399 8.0000 137 4.600 0.1399

4.0000 0.1340 6.0000 0.1340 8.0000 138 4.700 0.1340

4.0000 0.1285 6.0000 0.1285 8.0000 139 4.800 0.1285

4.0000 0.1233 6.0000 0.1233 8.0000 140 4.900 0.1233

4.0000 0.1184 6.0000 0.1184 8.0000 141 5.000 0.1184

4.0000 0.0979 6.0000 0.0979 8.0000 142 5.500 0.0979

4.0000 0.0822 6.0000 0.0822 8.0000 143 6.000 0.0822

4.0000 0.0296 6.0000 0.0296 8.0000 144 10.000 0.0296

4.0000 0.0245 6.0000 0.0245 8.0000 145 11.000 0.0245

4.0000 0.0074 6.0000 0.0074 8.0000 146 20.000 0.0074

4.0000 0.0047 6.0000 0.0047 8.0000 147 25.000 0.0047

Page 203: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

8.5 9 9.5 10 10.52.92 3.00 3.08 3.16 3.24

2.49 2.54 2.58 2.63 2.67

2.20 2.24 2.27 2.29 2.32

1.84 1.86 1.88 1.89 1.90

Page 204: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

8.5 9 9.5 10 10.50.56 0.57 0.57 0.57 0.58

0.37 0.37 0.37 0.36 0.36

0.28 0.28 0.27 0.26 0.26

0.17 0.17 0.16 0.16 0.15

Page 205: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

PBA 0.4g

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 5.5 6.00.0

0.2

0.4

0.6

0.8

1.0

1.2

Spektra Respons Percepatan (ARS) Desain, x = 5%, PBA = 0.40g

Perioda Tn (detik)

Pseudo-A

ccellera

tion S

pectr

a (

g)

Page 206: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 5.5 6.00.0

0.2

0.4

0.6

0.8

1.0

1.2

Spektra Respons Percepatan (ARS) Desain, x = 5%, PBA = 0.40g

Perioda Tn (detik)

Pseudo-A

ccellera

tion S

pectr

a (

g)

Page 207: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

PGA = 0.4g (ARS)

Page 208: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

Displasemen 0.4gPBA 0.4g

PGA = 0.4g (ARS)

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 5.5 6.00.0

20.0

40.0

60.0

80.0

Spektra Respons Displasemen (DRS) Desain,x = 5%, PBA = 0.40g

Perioda Tn (detik)

Dis

pla

sem

en, cm

Page 209: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 5.5 6.00.0

20.0

40.0

60.0

80.0

Spektra Respons Displasemen (DRS) Desain,x = 5%, PBA = 0.40g

Perioda Tn (detik)

Dis

pla

sem

en, cm

Page 210: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

1.5 2 4 6 8

0.4000 0.4000 0.4000 0.4000 0.4000

0.4000 0.4000 0.4000 0.4000 0.4000

0.4000 0.4000 0.4000 0.4000 0.4000

0.4000 0.4000 0.4000 0.4000 0.4000

m = 1 m = 1 m = 1 m = 1 m = 1 m = 1

m = 1.5 m = 2.0 m = 4.0 m = 6.0 m = 8.0

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 5.5 6.00.0

0.2

0.4

0.6

0.8

1.0

1.2

Spektra Respons Displasemen (DRS) Desain,x = 5%, PBA = 0.40g

= m1.0 = m

1.5 = m

2.0 = m

4.0 = m

6.0

Perioda Tn (detik)

Perc

epata

n S

pektr

a (

g)

Page 211: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

0.3970 0.3774 0.3394 0.3208 0.3086

0.5922 0.5629 0.5063 0.4785 0.4603

0.6600 0.6274 0.5644 0.5334 0.5131

0.7251 0.6893 0.6200 0.5859 0.5637

0.7878 0.7488 0.6736 0.6366 0.6124

0.9928 0.9437 0.8489 0.8022 0.7717

0.7655 0.6250 0.4092 0.3264 0.2795

0.7655 0.6250 0.4092 0.3264 0.2795

0.7655 0.6250 0.4092 0.3264 0.2795

0.7655 0.6250 0.4092 0.3264 0.2795

0.7655 0.6250 0.4092 0.3264 0.2795

0.7655 0.6250 0.4092 0.3264 0.2795

0.7655 0.6250 0.4092 0.3264 0.2795

0.7655 0.6250 0.4092 0.3264 0.2795

0.7655 0.6250 0.4092 0.3264 0.2795

0.7655 0.6250 0.4092 0.3264 0.2795

0.7655 0.6250 0.4092 0.3264 0.2795

0.7655 0.6250 0.4092 0.3264 0.2795

0.7655 0.6250 0.4092 0.3264 0.2795

0.7655 0.6250 0.4092 0.3264 0.2795

0.7655 0.6250 0.4092 0.3264 0.2795

0.7655 0.6250 0.4092 0.3264 0.2795

0.7655 0.6250 0.4092 0.3264 0.2795

0.7655 0.6250 0.4092 0.3264 0.2795

0.7655 0.6250 0.4092 0.3264 0.2795

0.7655 0.6250 0.4092 0.3264 0.2795

0.7655 0.6250 0.4092 0.3264 0.2735

0.7655 0.6250 0.4092 0.3264 0.2655

0.7655 0.6250 0.4092 0.3264 0.2579

0.7655 0.6250 0.4092 0.3264 0.2507

0.7655 0.6250 0.4092 0.3253 0.2440

0.7655 0.6250 0.4092 0.3167 0.2375

0.7655 0.6250 0.4092 0.3086 0.2314

0.7655 0.6250 0.4092 0.3009 0.2257

0.7655 0.6250 0.4092 0.2935 0.2202

0.7655 0.6250 0.4092 0.2865 0.2149

0.7655 0.6250 0.4092 0.2799 0.2099

0.7655 0.6250 0.4092 0.2735 0.2051

0.7655 0.6250 0.4012 0.2674 0.2006

0.7655 0.6250 0.3924 0.2616 0.1962

0.7655 0.6250 0.3841 0.2561 0.1920

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 5.5 6.00.0

0.2

0.4

0.6

0.8

1.0

1.2

Spektra Respons Displasemen (DRS) Desain,x = 5%, PBA = 0.40g

= m1.0 = m

1.5 = m

2.0 = m

4.0 = m

6.0

Perioda Tn (detik)Perc

epata

n S

pektr

a (

g)

Page 212: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

0.7655 0.6250 0.3761 0.2507 0.1880

0.7655 0.6250 0.3684 0.2456 0.1842

0.7655 0.6250 0.3610 0.2407 0.1805

0.7655 0.6250 0.3540 0.2360 0.1770

0.7655 0.6250 0.3472 0.2314 0.1736

0.7655 0.6250 0.3406 0.2271 0.1703

0.7655 0.6250 0.3343 0.2229 0.1672

0.7655 0.6250 0.3282 0.2188 0.1641

0.7655 0.6250 0.3224 0.2149 0.1612

0.7655 0.6250 0.3167 0.2111 0.1584

0.7655 0.6250 0.3112 0.2075 0.1556

0.7655 0.6119 0.3060 0.2040 0.1530

0.7655 0.6017 0.3009 0.2006 0.1504

0.7655 0.5919 0.2959 0.1973 0.1480

0.7655 0.5823 0.2912 0.1941 0.1456

0.7641 0.5731 0.2865 0.1910 0.1433

0.7522 0.5641 0.2821 0.1880 0.1410

0.7406 0.5555 0.2777 0.1852 0.1389

0.7294 0.5470 0.2735 0.1823 0.1368

0.7217 0.5413 0.2707 0.1804 0.1353

0.7164 0.5373 0.2687 0.1791 0.1343

0.7059 0.5294 0.2647 0.1765 0.1324

0.6957 0.5217 0.2609 0.1739 0.1304

0.6857 0.5143 0.2571 0.1714 0.1286

0.6761 0.5070 0.2535 0.1690 0.1268

0.6667 0.5000 0.2500 0.1667 0.1250

0.6575 0.4932 0.2466 0.1644 0.1233

0.6486 0.4865 0.2432 0.1622 0.1216

0.6400 0.4800 0.2400 0.1600 0.1200

0.6316 0.4737 0.2368 0.1579 0.1184

0.6234 0.4675 0.2338 0.1558 0.1169

0.6154 0.4615 0.2308 0.1538 0.1154

0.6076 0.4557 0.2278 0.1519 0.1139

0.6000 0.4500 0.2250 0.1500 0.1125

0.5926 0.4444 0.2222 0.1481 0.1111

0.5854 0.4390 0.2195 0.1463 0.1098

0.5783 0.4337 0.2169 0.1446 0.1084

0.5714 0.4286 0.2143 0.1429 0.1071

0.5647 0.4235 0.2118 0.1412 0.1059

0.5581 0.4186 0.2093 0.1395 0.1047

0.5517 0.4138 0.2069 0.1379 0.1034

Page 213: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

0.5455 0.4091 0.2045 0.1364 0.1023

0.5393 0.4045 0.2022 0.1348 0.1011

0.5333 0.4000 0.2000 0.1333 0.1000

0.5275 0.3956 0.1978 0.1319 0.0989

0.5217 0.3913 0.1957 0.1304 0.0978

0.5161 0.3871 0.1935 0.1290 0.0968

0.5106 0.3830 0.1915 0.1277 0.0957

0.5053 0.3789 0.1895 0.1263 0.0947

0.5000 0.3750 0.1875 0.1250 0.0938

0.4948 0.3711 0.1856 0.1237 0.0928

0.4898 0.3673 0.1837 0.1224 0.0918

0.4848 0.3636 0.1818 0.1212 0.0909

0.4800 0.3600 0.1800 0.1200 0.0900

0.4364 0.3273 0.1636 0.1091 0.0818

0.4000 0.3000 0.1500 0.1000 0.0750

0.3692 0.2769 0.1385 0.0923 0.0692

0.3429 0.2571 0.1286 0.0857 0.0643

0.3200 0.2400 0.1200 0.0800 0.0600

0.3000 0.2250 0.1125 0.0750 0.0563

0.2824 0.2118 0.1059 0.0706 0.0529

0.2667 0.2000 0.1000 0.0667 0.0500

0.2526 0.1895 0.0947 0.0632 0.0474

0.2400 0.1800 0.0900 0.0600 0.0450

0.2286 0.1714 0.0857 0.0571 0.0429

0.2182 0.1636 0.0818 0.0545 0.0409

0.2087 0.1565 0.0783 0.0522 0.0391

0.2000 0.1500 0.0750 0.0500 0.0375

0.1920 0.1440 0.0720 0.0480 0.0360

0.1846 0.1385 0.0692 0.0462 0.0346

0.1778 0.1333 0.0667 0.0444 0.0333

0.1714 0.1286 0.0643 0.0429 0.0321

0.1655 0.1241 0.0621 0.0414 0.0310

0.1600 0.1200 0.0600 0.0400 0.0300

0.1548 0.1161 0.0581 0.0387 0.0290

0.1500 0.1125 0.0563 0.0375 0.0281

0.1455 0.1091 0.0545 0.0364 0.0273

0.1412 0.1059 0.0529 0.0353 0.0265

0.1371 0.1029 0.0514 0.0343 0.0257

0.1333 0.1000 0.0500 0.0333 0.0250

0.1297 0.0973 0.0486 0.0324 0.0243

0.1263 0.0947 0.0474 0.0316 0.0237

Page 214: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

0.1231 0.0923 0.0462 0.0308 0.0231

0.1200 0.0900 0.0450 0.0300 0.0225

0.1171 0.0878 0.0439 0.0293 0.0220

0.1165 0.0874 0.0437 0.0291 0.0218

0.1146 0.0859 0.0430 0.0286 0.0215

0.1119 0.0839 0.0420 0.0280 0.0210

0.1067 0.0800 0.0400 0.0267 0.0200

0.1019 0.0764 0.0382 0.0255 0.0191

0.0974 0.0731 0.0365 0.0244 0.0183

0.0933 0.0699 0.0350 0.0233 0.0175

0.0893 0.0670 0.0335 0.0223 0.0167

0.0856 0.0642 0.0321 0.0214 0.0161

0.0822 0.0616 0.0308 0.0205 0.0154

0.0789 0.0592 0.0296 0.0197 0.0148

0.0652 0.0489 0.0245 0.0163 0.0122

0.0548 0.0411 0.0206 0.0137 0.0103

0.0197 0.0148 0.0074 0.0049 0.0037

0.0163 0.0122 0.0061 0.0041 0.0031

0.0049 0.0037 0.0019 0.0012 0.0009

0.0032 0.0024 0.0012 0.0008 0.0006

Page 215: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 5.5 6.00.0

0.2

0.4

0.6

0.8

1.0

1.2

Spektra Respons Percepatan (ARS) Desain, x = 5%, PBA = 0.40g

Perioda Tn (detik)

Pseudo-A

ccellera

tion S

pectr

a (

g)

Page 216: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 5.5 6.00.0

0.2

0.4

0.6

0.8

1.0

1.2

Spektra Respons Percepatan (ARS) Desain, x = 5%, PBA = 0.40g

Perioda Tn (detik)

Pseudo-A

ccellera

tion S

pectr

a (

g)

Page 217: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

Elastic Pseudo-Accelleration Design Spectrum

PGA = 0.4g

Page 218: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

Displasemen 0.4g

PGA = 0.4g

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 5.5 6.00.0

20.0

40.0

60.0

80.0

Spektra Respons Displasemen (DRS) Desain,x = 5%, PBA = 0.40g

Perioda Tn (detik)

Dis

pla

sem

en, cm

Page 219: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 5.5 6.00.0

20.0

40.0

60.0

80.0

Spektra Respons Displasemen (DRS) Desain,x = 5%, PBA = 0.40g

Perioda Tn (detik)

Dis

pla

sem

en, cm

Page 220: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 5.5 6.00.0

0.2

0.4

0.6

0.8

1.0

1.2

Spektra Respons Displasemen (DRS) Desain,x = 5%, PBA = 0.40g

= m1.0 = m

1.5 = m

2.0 = m

4.0 = m

6.0

Perioda Tn (detik)

Perc

epata

n S

pektr

a (

g)

Page 221: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 5.5 6.00.0

0.2

0.4

0.6

0.8

1.0

1.2

Spektra Respons Displasemen (DRS) Desain,x = 5%, PBA = 0.40g

= m1.0 = m

1.5 = m

2.0 = m

4.0 = m

6.0

Perioda Tn (detik)

Perc

epata

n S

pektr

a (

g)

Page 222: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]
Page 223: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]
Page 224: Inelastic Design Spectra _Newmark Hall Design Spectra_[Yoppy Soleman, 2006]

Elastic Pseudo-Accelleration Design Spectrum