steel design spreadsheet

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DESIGN OF STEEL BEAMS Allowable Stress Design PRELIMINARY DATA TRIAL SECTION Yield Strength 248 MPa 600.000 Length 7.500 m 163.680 Unbraced Length 7.500 m 3665689.150 Max Moment 600.000 kN - m 1.0 Try: W12x170 Sx = 4121746.280 TRIAL SECTION PROPERTIES Weight 252.988 kg/m bf 31.928 cm Ix 68678.185 Sy 1347.989 Area 322.580 tf 3.962 cm Iy 21519.165 rx 14.591 Depth 33.325 cm tw 2.438 cm Sx 4121.746 ry 8.168 LATERAL BUCKLING CRITERIA COMPACTNESS CRITERIA 13.667 106.68 4.055 21.109 4.03 10.80 Lc < Lb < Lu 1 1 1 Max Moment Mu Assume Compact Section 0.66 Required Sx = Mu / 0.6 Cb cm 4 cm 2 cm 4 cm 3 Lc = Lu = _= (200 _ )/ √( _ ) _= (137900 _ )/ (_ ) /_ < 1680/√( _ ) / _ = 1680/ √(_ )= / γ€– 2 γ€— _ < 170/√( _ ) / γ€– 2 _ < 250/√( _ ) / γ€– 2 γ€— _ = 170/ √( _ )= 250/ √( _ )= Total M om ent 2.482 2.978 20.940 620.940 ALLO W ABLE FLEXURAL STRESS M Pa 148.8 Since Lc< Lb < Lu Use Fb = 0.6Fy = N EW M AX M O M EN T kN /m kN /m kN -m kN -m Total Beam W eight Factored Beam W eight Additional M om ent Required Strength M n Design Strength M u = F bS x Since < W 12x190 4721273.012 mm Sx = CHECK TRIAL SECTIO N kN - kN - 613.316 620.940 613.316 620.94 Rem arks REVISE CO LUM N SECTIO N Use

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Excel spreadsheet for designing simple span steel beams and columns. It automatically chooses the right steel section from the database of aisc. Both ASD and LRFD sample designs are included.

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GOVERNING CASEcase 1: Lc < Lb < Lu

DESIGN OF STEEL BEAMSAllowable Stress Design

PRELIMINARY DATA TRIAL SECTIONYield Strength 248 MPa 600.000 kN - m

Length 7.500 m 163.680 MPaUnbraced Length 7.500 m 3665689.150

Max Moment 600.000 kN - m1.0 Try: W12x170 Sx = 4121746.280

TRIAL SECTION PROPERTIESWeight 252.988 kg/m bf 31.928 cm Ix 68678.185 Sy 1347.989

Area 322.580 tf 3.962 cm Iy 21519.165 rx 14.591 cmDepth 33.325 cm tw 2.438 cm Sx 4121.746 ry 8.168 cm

LATERAL BUCKLING CRITERIA COMPACTNESS CRITERIA

13.667 106.6801067

4.055 21.109 4.03 10.80 15.88

Lc < Lb < Lu

TRUE TRUE TRUE

Max Moment Mu

Assume Compact Section 0.66Fy

Required Sx = Mu / 0.66Fy mm3

Cb mm3

cm4 cm3

cm2 cm4

cm3

Lc = Lu =

𝐿_𝑐= (200𝑏_𝑓)/√(𝐹_𝑦 ) 𝐿_𝑒= (137900𝐴_𝑓)/(𝐹_𝑦 𝑑)

𝑑/𝑑_𝑀 < 1680/√(𝐹_𝑦 )

𝑑/𝑑_𝑀 = 1680/√(𝐹_𝑦 )=

𝑏/γ€– 2𝑑〗 _𝑓 < 170/√(𝐹_𝑦 )

𝑏/γ€– 2𝑑〗 _𝑓 < 250/√(𝐹_𝑦 )

𝑏/γ€– 2𝑑〗 _𝑓 =

170/√(𝐹_𝑦 )= 250/√(𝐹_𝑦 )=

Total Moment

2.482

2.97820.940

620.940

ALLOWABLE FLEXURAL STRESSMPa148.8Since Lc < Lb < Lu Use Fb = 0.6Fy =

NEW MAX MOMENTkN / m

kN / mkN - mkN - m

Total Beam Weight

Factored Beam WeightAdditional Moment

Required Strength Mn

Design Strength Mu = FbSx

Since <

W12x190 4721273.012 mm2Sx =

CHECK TRIAL SECTIONkN - mkN - m613.316

620.940

613.316 620.940Remarks

REVISE COLUMN SECTION

Use

GOVERNING CASE case1a case1bcase 1: Lc < Lb < Lu case 2: Lb < Lc and Non-Compact

ALLOWABLE FLEXURAL STRESS CHECK TRIAL SECTION ALLOWABLE FLEXURAL STRESSSince Lc < Lb < Lu Use Fb = 0.6Fy = 148.8 MPa 620.940 kN - m

613.3158 kN - m

NEW MAX MOMENT Since 613.316 < 620.940Total Beam Weight 2.482 kN / m Remarks

REVISE COLUMN SECTIONNEW MAX MOMENT

Factored Beam Weight 2.978 kN / mAdditional Moment 20.940 kN - m

Total Moment 620.940 kN - m Use W12x190 Sx = 4721273.012

TRUE case1a case1bFALSE case2a case2bFALSE case3a case3bFALSE case4a case4bFALSE case5a case5bFALSE case6a case6bFALSE case7a case7b

Required Strength Mn

Design Strength Mu = FbSx

mm2

case 2: Lb < Lc and Non-Compact case 3: Lb < Lc and Compact

ALLOWABLE FLEXURAL STRESS CHECK TRIAL SECTION ALLOWABLE FLEXURAL STRESSSince Lb < Lc & Non-Compact 620.940 kN - m Since Lb < Lc & Compact

Use Fb = 0.6Fy = 148.80 MPa 613.3158 kN - m

Since 613.316 < 620.940NEW MAX MOMENT Remarks

REVISE COLUMN SECTIONNEW MAX MOMENT

Total Beam Weight 2.482 kN / m Total Beam WeightFactored Beam Weight 2.978 kN / m Factored Beam Weight

Additional Moment 20.940 kN - m Use W12x190 Sx = 4721273.012 Additional MomentTotal Moment 620.940 kN - m Total Moment

Required Strength Mn

Design Strength Mu = FbSx

mm2

case 3: Lb < Lc and Compact case 4: Lb < Lc and Partially-Compact

ALLOWABLE FLEXURAL STRESS CHECK TRIAL SECTION ALLOWABLE FLEXURAL STRESSSince Lb < Lc & Compact 620.940 kN - m Since Lb < Lc & Partially Compact

Use Fb = 0.66Fy = 163.68 MPa 674.6474 kN - m

Since 674.647 > 620.940NEW MAX MOMENT Remarks

COLUMN SECTION ADEQUATETotal Beam Weight 2.482 kN / m

Factored Beam Weight 2.978 kN / mAdditional Moment 20.940 kN - m Use W12x170 Sx = 4121746.280 NEW MAX MOMENT

Total Moment 620.940 kN - m Total Beam WeightFactored Beam Weight

Additional Moment

Total Moment

Required Strength Mn

Design Strength Mu = FbSx

mm2

𝐹_𝑏=𝐹_𝑦 [0.79βˆ’0.00076(𝑏_𝑓/(2𝑑_𝑓 )) √(𝐹_𝑦 )]

case 4: Lb < Lc and Partially-Compact case 5: Lb > Lu Type 1

ALLOWABLE FLEXURAL STRESS CHECK TRIAL SECTION ALLOWABLE FLEXURAL STRESSSince Lb < Lc & Partially Compact 620.940 kN - m

758.2432 kN - m

Since 758.243 > 620.940Fb = 183.96 MPa Remarks

COLUMN SECTION ADEQUATE85.56796

NEW MAX MOMENT Use W12x170 Sx = 4121746.280Total Beam Weight 2.482 kN / m Since

Factored Beam Weight 2.978 kN / mAdditional Moment 20.940 kN - m Use Fb = 0.6Fy =

Total Moment 620.940 kN - m

NEW MAX MOMENTTotal Beam Weight

Factored Beam Weight

Additional Moment

Total Moment

Required Strength Mn For Lb > Lu:Design Strength Mu = FbSx

mm2

𝐹_𝑏=𝐹_𝑦 [0.79βˆ’0.00076(𝑏_𝑓/(2𝑑_𝑓 )) √(𝐹_𝑦 )] π‘Ÿ_𝑑=√((𝐼_𝑦/2)/(𝑏_𝑓 𝑑_𝑓+ 1/6 𝑑𝑑_𝑀 ))=𝐿_𝑏/π‘Ÿ_𝑑 =

case 5: Lb > Lu Type 1 case6 : Lb > Lu Type 2

ALLOWABLE FLEXURAL STRESS CHECK TRIAL SECTION ALLOWABLE FLEXURAL STRESS620.940 kN - m

613.3158 kN - m87.65

Since 613.316 < 620.940Remarks

REVISE COLUMN SECTION85.56796 53.25191 85.56796

Use W12x190 Sx = 4721273.01285.56796 < 53.25191

Use Fb = 0.6Fy = 148.8 MPa Use the Larger of:

NEW MAX MOMENTTotal Beam Weight 2.482 kN / m

Factored Beam Weight 2.978 kN / m

Additional Moment 20.940 kN - m

Total Moment 620.940 kN - m

Required Strength Mn For Lb > Lu:Design Strength Mu = FbSx

mm2

π‘Ÿ_𝑑=√((𝐼_𝑦/2)/(𝑏_𝑓 𝑑_𝑓+ 1/6 𝑑𝑑_𝑀 ))=√((703270𝐢_𝑏)/𝐹_𝑦 )=

π‘Ÿ_𝑑=√((𝐼_𝑦/2)/(𝑏_𝑓 𝑑_𝑓+ 1/6 𝑑𝑑_𝑀 ))=𝐿_𝑏/π‘Ÿ_𝑑 =

π‘Ÿ_𝑑=√((𝐼_𝑦/2)/(𝑏_𝑓 𝑑_𝑓+ 1/6 𝑑𝑑_𝑀 ))=𝐿_𝑏/π‘Ÿ_𝑑 =

√((703270𝐢_𝑏)/𝐹_𝑦 )=√((3156330𝐢_𝑏)/𝐹_𝑦 )=

𝐹_𝑏=[2/3βˆ’(𝐹_𝑦 (𝐿_𝑏/π‘Ÿ_𝑑 )^2)/(10.55Γ—γ€– 10γ€— ^6 𝐢_𝑏 )] 𝐹_𝑦<0.6𝐹_𝑦=𝐹_𝑏=(82740𝐢_𝑏)/(𝐿_𝑏 𝑑/𝐴_𝑓 )<0.6𝐹_𝑦=

case6 : Lb > Lu Type 2 case7 : Lb > Lu Type 3

ALLOWABLE FLEXURAL STRESS NEW MAX MOMENT ALLOWABLE FLEXURAL STRESSTotal Beam Weight 2.482 kN / m

Factored Beam Weight 2.978 kN / m87.65 Additional Moment 20.940 kN - m

Total Moment 620.940 kN - m

85.56796 53.25191 85.56796CHECK TRIAL SECTION

620.940 kN - m112.81 613.3158 kN - m

Use the Larger of: Since 613.316 < 620.940 Use the Larger of:

RemarksREVISE COLUMN SECTION

122.65

Use W12x190 Sx = 4721273.012148.80

148.80

For Lb > Lu:

Required Strength Mn

Design Strength Mu = FbSx

mm2

Use Fb = Use Fb =

π‘Ÿ_𝑑=√((𝐼_𝑦/2)/(𝑏_𝑓 𝑑_𝑓+ 1/6 𝑑𝑑_𝑀 ))=√((703270𝐢_𝑏)/𝐹_𝑦 )=

π‘Ÿ_𝑑=√((𝐼_𝑦/2)/(𝑏_𝑓 𝑑_𝑓+ 1/6 𝑑𝑑_𝑀 ))=√((703270𝐢_𝑏)/𝐹_𝑦 )=

√((3156330𝐢_𝑏)/𝐹_𝑦 )=𝐹_𝑏=[2/3βˆ’(𝐹_𝑦 (𝐿_𝑏/π‘Ÿ_𝑑 )^2)/(10.55Γ—γ€– 10γ€— ^6 𝐢_𝑏 )] 𝐹_𝑦<0.6𝐹_𝑦=𝐹_𝑏=(82740𝐢_𝑏)/(𝐿_𝑏 𝑑/𝐴_𝑓 )<0.6𝐹_𝑦=

π‘Ÿ_𝑑=√((𝐼_𝑦/2)/(𝑏_𝑓 𝑑_𝑓+ 1/6 𝑑𝑑_𝑀 ))=𝐿_𝑏/π‘Ÿ_𝑑 =

π‘Ÿ_𝑑=√((𝐼_𝑦/2)/(𝑏_𝑓 𝑑_𝑓+ 1/6 𝑑𝑑_𝑀 ))=𝐿_𝑏/π‘Ÿ_𝑑 = √((3156330𝐢_𝑏)/𝐹_𝑦 )=

𝐹_𝑏=(1172100𝐢_𝑏)/(𝐿_𝑏/π‘Ÿ_𝑑 )^2 <0.6𝐹_𝑦=𝐹_𝑏=(82740𝐢_𝑏)/(((𝐿_𝑏 𝑑)/𝐴_𝑓 ) )<0.6𝐹_𝑦=

ALLOWABLE FLEXURAL STRESS NEW MAX MOMENTTotal Beam Weight 2.482 kN / m

Factored Beam Weight 2.978 kN / m87.65 Additional Moment 20.940 kN - m

Total Moment 620.940 kN - m

53.25191CHECK TRIAL SECTION

620.940 kN - m112.81 613.3158 kN - m

Use the Larger of: Since 613.316 < 620.940

RemarksREVISE COLUMN SECTION

148.80

Use W12x190 Sx = 4721273.012148.80

148.80

Required Strength Mn

Design Strength Mu = FbSx

mm2

Use Fb =

π‘Ÿ_𝑑=√((𝐼_𝑦/2)/(𝑏_𝑓 𝑑_𝑓+ 1/6 𝑑𝑑_𝑀 ))=√((703270𝐢_𝑏)/𝐹_𝑦 )=

π‘Ÿ_𝑑=√((𝐼_𝑦/2)/(𝑏_𝑓 𝑑_𝑓+ 1/6 𝑑𝑑_𝑀 ))=√((703270𝐢_𝑏)/𝐹_𝑦 )=

√((3156330𝐢_𝑏)/𝐹_𝑦 )=

𝐹_𝑏=(1172100𝐢_𝑏)/(𝐿_𝑏/π‘Ÿ_𝑑 )^2 <0.6𝐹_𝑦=𝐹_𝑏=(82740𝐢_𝑏)/(((𝐿_𝑏 𝑑)/𝐴_𝑓 ) )<0.6𝐹_𝑦=

DESIGN OF STEEL COLUMNS DESIGN RESULT: USE: W6x20Load And Resistance Factor Design

PRELIMINARY DATA TRIAL SECTIONElastic Modulus 200000 MPa 280.000 kN

Yield Strength 248 MPa 79.491 MPaLength 5.000 m 3522.429

Unbraced Length 3.000 mKx - Factor 1.000 Try: W5x19 Area = 3574.186Ky - Factor 1.000Dead Load 100.000 kN

Live Load 100.000 kN TRIAL SECTION PROPERTIESWeight 28.275 kg/m Ix 1090.526

Area 35.742 Iy 378.771

FACTORED LOADS (LRFD) Depth 13.081 cm Sx 166.734

1.2 x Dead Load 120.000 kN bf 12.776 cm Sy 59.293

1.6 x Live Load 160.000 kN tf 1.092 cm rx 5.524 cmTOTAL 280.000 kN tw 0.686 cm ry 3.255 cm

PRELIMINARY CRITICAL FLEXURE STRESS TRIAL SECTION CRITICAL FLEXURE STRESSAssumed Slenderness Ratio Trial Section Slenderness Ratio

140 153.593

100.710 83.674

88.477 kN 71.729 kN

88.323 kN 73.382 kN

133.755 133.755

Since 140 > 133.755: Use Fcr = 88.323 Since 154 > 133.755: Use Fcr = 73.382

Axial Load Pu

Required Strength Ξ¦cFcr

Required Area Ag = Pu / Ξ¦cFcr mm2

mm2

cm4

cm2 cm4

cm3

cm3

Critical Flexural Buckling Stress Fcr Critical Flexural Buckling Stress Fcr

Fcr = Fcr =

Fcr = Fcr =

𝐾𝐿/π‘Ÿ=

𝑖𝑓 𝐾𝐿/π‘Ÿβ‰€4.71√(𝐸/𝐹_𝑦 ) : 𝐹_π‘π‘Ÿ=γ€– 0.658γ€— ^(𝐹_𝑦/𝐹_𝑒 )×𝐹_𝑦𝑖𝑓 𝐾𝐿/π‘Ÿ>4.71√(𝐸/𝐹_𝑦 ) : 𝐹_π‘π‘Ÿ=0.877𝐹_𝑒

𝐹_𝑒=(πœ‹^2 𝐸)/(𝐾𝐿/π‘Ÿ)^2 =

4.71√(𝐸/𝐹_𝑦 )=

𝐾𝐿/π‘Ÿ=

𝑖𝑓 𝐾𝐿/π‘Ÿβ‰€4.71√(𝐸/𝐹_𝑦 ) : 𝐹_π‘π‘Ÿ=γ€– 0.658γ€— ^(𝐹_𝑦/𝐹_𝑒 )×𝐹_𝑦𝑖𝑓 𝐾𝐿/π‘Ÿ>4.71√(𝐸/𝐹_𝑦 ) : 𝐹_π‘π‘Ÿ=0.877𝐹_𝑒

𝐹_𝑒=(πœ‹^2 𝐸)/(𝐾𝐿/π‘Ÿ)^2 =

4.71√(𝐸/𝐹_𝑦 )=

created by: Jan Alexis B. Monsalud

DESIGN OF STEEL COLUMNSLoad And Resistance Factor Design

TRIAL SECTION FACTORED LOADS REVISED SECTION CRITICAL FLEXURE STRESSTotal Column Weigth 1.387 kN Revised Section Slenderness Ratio1.2 * Total Column Weight 1.664 kNTotal Factored Load (LRFD) 281.664 kN 130.7764

TRIAL SECTION STRENGTH CHECKTrial Section Gross Area 3574.186 115.417

236.052 kN

Since 236.052 < 281.664Remarks REVISE COLUMN SECTION

100.895 kNTry W6x20 Area = 3787.089

REVISED SECTION PROPERTIESWeight 29.763 kg/m Ix 1723.198 101.221 kN

Area 37.871 Iy 553.588Depth 15.748 cm Sx 218.847

bf 15.291 cm Sy 72.408 133.755tf 0.927 cm rx 6.746 cm

tw 0.660 cm ry 3.823 cmSince 131 <= 133.755: Use Fcr = 100.895

REVISED SECTION FACTORED LOADSTotal Column Weigth 1.460 kN REVISED SECTION STRENGTH CHECK1.2 * Total Column Weight 1.752 kN Trial Section Gross Area 3787.089Total Factored Load (LRFD) 281.752 kN 343.888 kN

Since 343.888 > 281.752Remarks COLUMN SECTION IS ADEQUATE

Critical Flexural Buckling Stress Fcr

mm2

Section Capacity Ξ¦Pn = Ξ¦FcrAg

Fcr =mm2

cm4 Fcr =cm2 cm4

cm3

cm3

mm2

Section Capacity Ξ¦Pn = Ξ¦FcrAg

𝐾𝐿/π‘Ÿ=

𝑖𝑓 𝐾𝐿/π‘Ÿβ‰€4.71√(𝐸/𝐹_𝑦 ) : 𝐹_π‘π‘Ÿ=γ€– 0.658γ€— ^(𝐹_𝑦/𝐹_𝑒 )×𝐹_𝑦𝑖𝑓 𝐾𝐿/π‘Ÿ>4.71√(𝐸/𝐹_𝑦 ) : 𝐹_π‘π‘Ÿ=0.877𝐹_𝑒

𝐹_𝑒=(πœ‹^2 𝐸)/(𝐾𝐿/π‘Ÿ)^2 =

4.71√(𝐸/𝐹_𝑦 )=

created by: Jan Alexis B. Monsalud

SECTION Area d bf tf tw Ix Iy

(mm^2) (mm) (mm) (mm) (mm) (mm^4) (mm^4)

1 W4x13 2,470.963 105.664 103.124 8.763 7.112 4,703,415.109 1,623,302.560

2 W5x16 3,019.349 127.254 127.000 9.144 6.096 8,865,729.365 3,121,735.692

3 W5x19 3,574.186 130.810 127.762 10.922 6.858 10,905,263.351 3,787,705.973

4 W6x9 1,729.029 149.860 100.076 5.461 4.318 6,826,195.380 915,709.136

5 W6x12 2,290.318 153.162 101.600 7.112 5.842 9,198,714.506 1,248,694.277

6 W6x15 2,858.059 152.146 152.146 6.604 5.842 12,112,334.485 3,870,952.258

7 W6x16 3,058.058 159.512 102.362 10.287 6.604 13,361,028.762 1,831,418.273

8 W6x20 3,787.089 157.480 152.908 9.271 6.604 17,231,981.020 5,535,877.960

9 W6x25 4,735.474 162.052 154.432 11.557 8.128 22,226,758.127 7,117,557.378

10 W8x10 1,909.674 200.406 100.076 5.207 4.318 12,819,927.908 874,085.994

11 W8x13 2,477.414 202.946 101.600 6.477 5.842 16,482,764.454 1,123,824.849

12 W8x15 2,864.510 205.994 101.981 8.001 6.223 19,979,108.429 1,415,186.847

13 W8x18 3,393.542 206.756 133.350 8.382 5.842 25,764,725.245 3,329,851.405

14 W8x21 3,974.186 210.312 133.858 10.160 6.350 31,342,226.348 4,079,067.971

15 W8x24 4,567.733 201.422 164.973 10.160 6.223 34,463,962.040 7,617,035.088

16 W8x28 5,322.570 204.724 165.989 11.811 7.239 40,790,679.709 9,032,221.936

17 W8x31 5,890.311 203.200 203.073 11.049 7.239 45,785,456.816 15,442,185.890

18 W8x35 6,645.148 206.248 203.708 12.573 7.874 52,861,391.051 17,731,458.731

19 W8x40 7,548.372 209.550 204.978 14.224 9.144 60,769,788.138 20,436,962.997

20 W8x48 9,096.756 215.900 205.994 17.399 10.160 76,586,582.310 25,348,493.819

21 W8x58 11,032.236 222.250 208.788 20.574 12.954 94,900,765.037 31,258,980.063

22 W8x67 12,709.652 228.600 210.312 23.749 14.478 113,214,947.763 36,878,104.308

23 W10x12 2,283.866 250.698 100.584 5.334 4.826 22,393,250.697 915,709.136

24 W10x15 2,845.156 253.746 101.600 6.858 5.842 28,678,345.224 1,207,071.134

25 W10x17 3,219.348 256.794 101.854 8.382 6.096 34,089,353.757 1,498,433.132

26 W10x19 3,625.799 260.096 102.108 10.033 6.350 40,083,086.285 1,789,795.130

27 W10x22 4,187.088 258.318 146.050 9.144 6.096 49,115,308.221 4,745,038.252

28 W10x26 4,909.668 262.382 146.558 11.176 6.604 59,937,325.286 5,868,863.101

29 W10x30 5,703.214 265.938 147.574 12.954 7.620 70,759,342.352 6,951,064.808

30 W10x33 6,264.504 247.142 202.184 11.049 7.366 70,759,342.352 15,234,070.177

31 W10x39 7,419.340 251.968 202.819 13.462 8.001 86,992,367.950 18,730,414.152

32 W10x45 8,580.628 256.540 203.708 15.748 8.890 103,225,393.549 22,226,758.127

33 W10x49 9,290.304 253.492 254.000 14.224 8.636 113,214,947.763 38,876,015.151

34 W10x54 10,193.528 256.286 254.762 15.621 9.398 126,118,121.957 42,871,836.837

35 W10x60 11,354.816 259.588 256.032 17.272 10.668 141,934,916.130 48,282,845.370

36 W10x68 12,903.200 264.160 257.302 19.558 11.938 163,995,181.686 55,775,011.030

37 W10x77 14,580.616 269.240 258.826 22.098 13.462 189,385,298.648 64,099,639.542

38 W10x88 16,709.644 275.336 260.731 25.146 15.367 222,267,581.270 74,505,425.182

39 W10x100 18,967.704 281.940 262.636 28.448 17.272 259,312,178.149 86,159,905.099

40 W10x112 21,225.764 288.544 264.541 31.750 19.177 298,021,700.730 98,230,616.442

41 W12x14 2,683.866 302.514 100.838 5.715 5.080 36,878,104.308 998,955.421

42 W12x16 3,038.704 304.546 101.346 6.731 5.588 42,871,836.837 1,165,447.992

43 W12x19 3,593.541 308.864 101.727 8.890 5.969 54,110,085.328 1,581,679.417

44 W12x22 4,180.637 312.674 102.362 10.795 6.604 64,932,102.394 1,956,287.700

45 W12x26 4,935.474 310.388 164.846 9.652 5.842 84,911,210.822 7,200,803.663

46 W12x30 5,670.956 313.436 165.608 11.176 6.604 99,063,079.293 8,449,497.940

47 W12x35 6,645.148 317.500 166.624 13.208 7.620 118,625,956.296 10,197,669.927

48 W12x40 7,612.888 303.276 203.327 13.081 7.493 129,031,741.936 18,355,805.869

49 W12x45 8,516.112 306.324 204.343 14.605 8.509 145,680,998.960 20,811,571.280

50 W12x50 9,483.852 309.626 205.232 16.256 9.398 163,995,181.686 23,433,829.261

51 W12x53 10,064.496 306.324 253.873 14.605 8.763 176,898,355.880 39,874,970.572

52 W12x58 10,967.720 309.626 254.254 16.256 9.144 197,709,927.160 44,536,762.539

53 W12x65 12,322.556 307.848 304.800 15.367 9.906 221,851,349.845 72,424,268.054

54 W12x72 13,612.876 311.150 305.816 17.018 10.922 248,490,161.083 81,165,127.992

55 W12x79 14,967.712 314.452 306.832 18.669 11.938 275,545,203.747 89,905,987.930

56 W12x87 16,516.096 318.262 307.975 20.574 13.081 308,011,254.944 100,311,773.570

57 W12x96 18,193.512 322.834 308.864 22.860 13.970 346,720,777.525 112,382,484.912

58 W12x106 20,128.992 327.406 310.388 25.146 15.494 388,343,920.085 125,285,659.106

59 W12x120 22,774.148 333.248 312.928 28.067 18.034 445,367,625.392 143,599,841.832

60 W12x136 25,741.884 333.248 314.960 31.750 20.066 516,126,967.744 165,660,107.389

61 W12x152 28,838.652 333.248 316.992 35.560 22.098 595,210,938.608 188,969,067.222

62 W12x170 32,258.000 333.248 319.278 39.624 24.384 686,781,852.240 215,191,647.035

63 W12x190 35,999.928 333.248 321.818 44.069 26.924 786,677,394.384 245,160,309.678

64 W12x210 39,870.888 333.248 324.866 48.260 29.972 890,735,250.784 276,377,666.598

65 W12x230 43,677.332 333.248 327.533 52.578 32.639 1,007,280,049.952 308,843,717.795

66 W12x252 47,806.356 333.248 330.327 57.150 35.433 1,132,149,477.632 344,639,620.397

67 W12x279 52,838.604 333.248 333.756 62.738 38.862 1,294,479,733.616 390,008,845.787

68 W12x305 57,806.336 333.248 336.169 68.707 41.275 1,477,621,560.880 437,042,996.880

69 W12x336 63,741.808 333.248 339.979 75.057 45.085 1,689,899,587.936 495,315,396.464

70 W14x22 4,187.088 333.248 127.000 8.509 5.842 82,830,053.694 2,913,619.979

71 W14x26 4,961.280 333.248 127.635 10.668 6.477 101,976,699.272 3,704,459.688

72 W14x30 5,709.666 333.248 170.942 9.779 6.858 121,123,344.850 8,158,135.942

73 W14x34 6,451.600 333.248 171.323 11.557 7.239 141,518,684.704 9,698,192.216

74 W14x38 7,225.792 333.248 171.958 13.081 7.874 160,249,098.856 11,113,379.064

75 W14x43 8,129.016 333.248 203.073 13.462 7.747 178,147,050.157 18,813,660.437

76 W14x48 9,096.756 333.248 203.962 15.113 8.636 201,872,241.416 21,394,295.276

77 W14x53 10,064.496 333.248 204.724 16.764 9.398 225,181,201.250 24,016,553.257

78 W14x61 11,548.364 333.248 253.873 16.383 9.525 266,388,112.384 44,536,762.539

79 W14x68 12,903.200 333.248 254.889 18.288 10.541 300,935,320.709 50,364,002.498

80 W14x74 14,064.488 333.248 255.778 19.939 11.430 331,320,214.778 55,775,011.030

81 W14x82 15,548.356 333.248 257.302 21.717 12.954 367,116,117.379 61,602,250.989

82 W14x90 17,096.740 333.248 368.808 18.034 11.176 415,815,194.174 150,675,776.067

83 W14x99 18,774.156 333.248 369.951 19.812 12.319 462,016,882.416 167,325,033.091

84 W14x109 20,645.120 333.248 370.967 21.844 13.335 516,126,967.744 186,055,447.243

85 W14x120 22,774.148 333.248 372.618 23.876 14.986 574,399,367.328 206,034,555.672

86 W14x132 25,032.208 333.248 374.015 26.162 16.383 636,834,081.168 228,094,821.229

87 W14x145 27,548.332 333.248 393.700 27.686 17.272 711,755,737.776 281,788,675.131

88 W14x159 30,128.972 333.248 395.351 30.226 18.923 790,839,708.640 311,341,106.349

89 W14x176 33,419.288 333.248 397.510 33.274 21.082 890,735,250.784 348,801,934.653

90 W14x193 36,645.088 333.248 399.034 36.576 22.606 998,955,421.440 387,511,457.234

91 W14x211 39,999.920 333.248 401.320 39.624 24.892 1,107,175,592.096 428,718,368.368

92 W14x233 44,193.460 333.248 403.606 43.688 27.178 1,252,856,591.056 478,666,139.440

93 W14x257 48,774.096 333.248 406.273 48.006 29.845 1,415,186,847.040 536,938,539.024

94 W14x283 53,741.828 333.248 409.194 52.578 32.766 1,598,328,674.304 599,373,252.864

95 W14x311 58,967.624 333.248 412.242 57.404 35.814 1,802,282,072.848 670,132,595.216

96 W14x342 65,161.160 333.248 415.544 62.738 39.116 2,039,533,985.440 753,378,880.336

97 W14x370 70,322.440 333.248 418.465 67.564 42.037 2,264,298,955.264 828,300,536.944

98 W14x398 75,483.720 333.248 421.386 72.263 44.958 2,497,388,553.600 903,222,193.552

99 W14x426 80,645.000 333.248 424.053 77.089 47.625 2,747,127,408.960 982,306,164.416

100 W14x455 86,451.440 333.248 427.609 81.534 51.181 2,992,703,950.064 1,065,552,449.536

101 W14x500 94,838.520 333.248 432.054 88.900 55.626 3,417,260,004.176 1,198,746,505.728

102 W14x550 104,515.920 333.248 436.880 97.028 60.452 3,925,062,343.408 1,352,752,133.200

103 W14x605 114,838.480 333.248 442.341 105.664 65.913 4,495,299,396.480 1,531,731,646.208

104 W14x665 126,451.360 333.248 448.310 114.808 71.882 5,161,269,677.440 1,735,685,044.752

105 W14x730 138,709.400 333.248 454.406 124.714 77.978 5,952,109,386.080 1,964,612,328.832

106 W16x26 4,954.829 333.248 139.700 8.763 6.350 125,285,659.106 3,995,821.686

107 W16x31 5,883.859 333.248 140.335 11.176 6.985 156,086,784.600 5,161,269.677

108 W16x36 6,838.696 333.248 177.419 10.922 7.493 186,471,678.669 10,197,669.927

109 W16x40 7,612.888 333.248 177.673 12.827 7.747 215,607,878.461 12,029,088.200

110 W16x45 8,580.628 333.248 178.689 14.351 8.763 243,911,615.402 13,652,390.760

111 W16x50 9,483.852 333.248 179.578 16.002 9.652 274,296,509.470 15,483,809.032

112 W16x57 10,838.688 333.248 180.848 18.161 10.922 315,503,420.605 17,939,574.443

113 W16x67 12,709.652 333.248 259.969 16.891 10.033 397,084,780.022 49,531,539.646

114 W16x77 14,580.616 333.248 261.493 19.304 11.557 462,016,882.416 57,439,936.733

115 W16x89 16,903.192 333.248 263.271 22.225 13.335 541,100,853.280 67,845,722.373

116 W16x100 18,967.704 333.248 264.795 25.019 14.859 620,184,824.144 77,419,045.162

117 W18x35 6,645.148 333.248 152.400 10.795 7.620 212,278,027.056 6,368,340.812

118 W18x40 7,612.888 333.248 152.781 13.335 8.001 254,733,632.467 7,950,020.229

119 W18x46 8,709.660 333.248 153.924 15.367 9.144 296,356,775.027 9,365,207.076

120 W18x50 9,483.852 333.248 190.373 14.478 9.017 332,985,140.480 16,690,880.167

121 W18x55 10,451.592 333.248 191.262 16.002 9.906 370,445,968.784 18,688,791.009

122 W18x60 11,354.816 333.248 191.897 17.653 10.541 409,571,722.790 20,853,194.423

123 W18x65 12,322.556 333.248 192.786 19.050 11.430 445,367,625.392 22,809,482.123

124 W18x71 13,419.328 333.248 193.929 20.574 12.573 486,990,767.952 25,098,754.964

125 W18x76 14,387.068 333.248 280.289 17.272 10.795 553,587,796.048 63,267,176.691

126 W18x86 16,322.548 333.248 281.686 19.558 12.192 636,834,081.168 72,840,499.480

127 W18x97 18,387.060 333.248 283.083 22.098 13.589 728,404,994.800 83,662,516.546

128 W18x106 20,064.476 333.248 284.480 23.876 14.986 795,002,022.896 91,570,913.632

129 W18x119 22,645.116 333.248 286.131 26.924 16.637 911,546,822.064 105,306,550.677

130 W18x130 24,645.112 333.248 283.464 30.480 17.018 1,023,929,306.976 115,712,336.317

131 W18x143 27,161.236 333.248 284.988 33.528 18.542 1,144,636,420.400 129,447,973.362

132 W18x158 29,870.908 333.248 287.020 36.576 20.574 1,273,668,162.336 144,432,304.683

133 W18x175 33,096.708 333.248 288.925 40.386 22.606 1,435,998,418.320 162,746,487.410

134 W18x192 36,387.024 333.248 290.957 44.450 24.384 1,610,815,617.072 183,141,827.264

135 W18x211 40,064.436 333.248 293.497 48.514 26.924 1,802,282,072.848 205,202,092.821

136 W18x234 44,387.008 333.248 295.910 53.594 29.464 2,039,533,985.440 232,257,135.485

137 W18x258 48,967.644 333.248 298.958 58.420 32.512 2,293,435,155.056 261,393,335.277

138 W18x283 53,677.312 333.248 302.006 63.500 35.560 2,563,985,581.696 293,026,923.622

139 W18x311 59,032.140 333.248 304.927 69.596 38.608 2,896,970,722.176 330,903,983.352

140 W21x44 8,387.080 333.248 165.100 11.430 8.890 350,883,091.781 8,615,990.510

141 W21x50 9,483.852 333.248 165.862 13.589 9.652 409,571,722.790 10,364,162.497

142 W21x57 10,774.172 333.248 166.497 16.510 10.287 486,990,767.952 12,736,681.623

143 W21x62 11,806.428 333.248 209.296 15.621 10.160 553,587,796.048 23,933,306.972

144 W21x68 12,903.200 333.248 210.058 17.399 10.922 616,022,509.888 26,930,173.236

145 W21x73 13,870.940 333.248 210.693 18.796 11.557 665,970,280.960 29,385,938.647

146 W21x83 15,677.388 333.248 212.217 21.209 13.081 761,703,508.848 33,881,238.044

147 W21x93 17,612.868 333.248 213.868 23.622 14.732 861,599,050.992 38,667,899.438

148 W21x101 19,225.768 333.248 312.166 20.320 12.700 1,007,280,049.952 103,225,393.549

149 W21x111 21,096.732 333.248 313.436 22.225 13.970 1,111,337,906.352 114,047,410.614

150 W21x122 23,161.244 333.248 314.706 24.384 15.240 1,232,045,019.776 126,950,584.808

151 W21x132 25,032.208 333.248 315.976 26.289 16.510 1,340,265,190.432 138,605,064.725

152 W21x147 27,870.912 333.248 317.754 29.210 18.288 1,510,920,074.928 156,503,016.026

153 W21x166 31,483.808 333.248 315.468 34.544 19.050 1,781,470,501.568 181,060,670.136

154 W21x182 34,580.576 333.248 317.500 37.592 21.082 1,968,774,643.088 201,039,778.565

155 W21x201 38,193.472 333.248 319.405 41.402 23.114 2,210,188,869.936 225,597,432.675

156 W21x223 42,193.464 333.248 321.945 45.466 25.400 2,476,576,982.320 253,484,938.190

157 W21x248 46,967.648 333.248 324.485 50.546 27.940 2,813,724,437.056 288,864,609.366

158 W21x275 52,128.928 333.248 327.406 55.626 30.988 3,171,683,463.072 326,741,669.096

159 W21x300 56,903.112 333.248 329.946 60.452 33.528 3,529,642,489.088 363,370,034.549

160 W21x333 63,161.164 333.248 333.502 66.548 37.084 3,999,984,000.016 413,734,037.046

161 W21x364 69,032.120 333.248 336.931 72.390 40.386 4,495,299,396.480 466,179,196.672

162 W21x402 76,128.880 333.248 340.487 79.502 43.942 5,078,023,392.320 528,613,910.512

163 W24x55 10,451.592 333.248 177.927 12.827 10.033 561,912,424.560 12,112,334.485

164 W24x62 11,741.912 333.248 178.816 14.986 10.922 645,158,709.680 14,359,984.183

165 W24x68 12,967.716 333.248 227.711 14.859 10.541 761,703,508.848 29,302,692.362

166 W24x76 14,451.584 333.248 228.346 17.272 11.176 874,085,993.760 34,339,092.612

167 W24x84 15,935.452 333.248 229.108 19.558 11.938 986,468,478.672 39,292,246.577

168 W24x94 17,870.932 333.248 230.251 22.225 13.081 1,123,824,849.120 45,369,225.390

169 W24x103 19,548.348 333.248 228.600 24.892 13.970 1,248,694,276.800 49,531,539.646

170 W24x104 19,741.896 333.248 323.850 19.050 12.700 1,290,317,419.360 107,803,939.230

171 W24x117 22,193.504 333.248 325.120 21.590 13.970 1,473,459,246.624 123,620,733.403

172 W24x131 24,838.660 333.248 326.517 24.384 15.367 1,673,250,330.912 141,518,684.704

173 W24x146 27,741.880 333.248 327.660 27.686 16.510 1,906,339,929.248 162,746,487.410

174 W24x162 30,774.132 333.248 329.057 30.988 17.907 2,151,916,470.352 184,390,521.541

175 W24x176 33,354.772 333.248 327.406 34.036 19.050 2,364,194,497.408 199,374,852.862

176 W24x192 36,322.508 333.248 328.930 37.084 20.574 2,605,608,724.256 220,602,655.568

177 W24x207 39,161.212 333.248 330.454 39.878 22.098 2,838,698,322.592 240,581,763.997

178 W24x229 43,354.752 333.248 332.994 43.942 24.384 3,184,170,405.840 270,966,658.066

179 W24x250 47,419.260 333.248 334.899 48.006 26.416 3,533,804,803.344 301,351,552.134

180 W24x279 52,903.120 333.248 337.947 53.086 29.464 3,995,821,685.760 342,558,463.269

181 W24x306 57,935.368 333.248 340.487 57.912 32.004 4,453,676,253.920 382,516,680.126

182 W24x335 63,483.744 333.248 343.408 62.992 35.052 4,953,153,964.640 428,718,368.368

183 W24x370 69,677.280 333.248 346.964 69.088 38.608 5,577,501,103.040 482,828,453.696

184 W24x408 76,774.040 333.248 350.520 75.946 41.910 6,285,094,526.560 549,425,481.792

185 W24x450 85,161.120 333.248 354.457 83.058 45.974 7,117,557,377.760 620,184,824.144

186 W24x492 92,903.040 333.248 358.521 89.916 50.038 7,950,020,228.960 695,106,480.752

187 W27x84 15,999.968 333.248 252.984 16.256 11.684 1,186,259,562.960 44,120,531.114

188 W27x94 17,870.932 333.248 253.746 18.923 12.446 1,361,076,761.712 51,612,696.774

189 W27x102 19,354.800 333.248 254.381 21.082 13.081 1,506,757,760.672 57,856,168.158

190 W27x114 21,612.860 333.248 255.778 23.622 14.478 1,702,386,530.704 66,180,796.670

191 W27x129 24,387.048 333.248 254.254 27.940 15.494 1,981,261,585.856 76,586,582.310

192 W27x146 27,677.364 333.248 354.711 24.765 15.367 2,343,382,926.128 184,390,521.541

193 W27x161 30,580.584 333.248 356.108 27.432 16.764 2,613,933,352.768 206,867,018.523

194 W27x178 33,741.868 333.248 357.759 30.226 18.415 2,909,457,664.944 231,008,441.208

195 W27x194 36,774.120 333.248 356.489 34.036 19.050 3,254,929,748.192 257,231,021.021

196 W27x217 41,161.208 333.248 358.521 38.100 21.082 3,691,972,745.072 293,026,923.622

197 W27x235 44,580.556 333.248 360.426 40.894 23.114 4,020,795,571.296 319,665,734.861

198 W27x258 48,838.612 333.248 362.458 44.958 24.892 4,495,299,396.480 357,542,794.590

199 W27x281 53,290.216 333.248 364.490 49.022 26.924 4,953,153,964.640 396,668,548.597

200 W27x307 58,193.432 333.248 366.903 53.086 29.464 5,452,631,675.360 437,042,996.880

201 W27x336 63,677.292 333.248 369.443 57.912 32.004 6,035,355,671.200 486,990,767.952

202 W27x368 69,677.280 333.248 372.491 62.992 35.052 6,701,325,952.160 545,263,167.536

203 W27x407 76,774.040 333.248 375.920 69.088 38.608 7,533,788,803.360 616,022,509.888

204 W27x448 84,515.960 333.248 379.476 75.946 41.910 8,491,121,082.240 695,106,480.752

205 W27x494 93,548.200 333.248 383.413 83.058 45.974 9,531,699,646.240 786,677,394.384

206 W27x539 101,935.280 333.248 387.477 89.916 50.038 10,613,901,352.800 878,248,308.016

207 W30x90 17,032.224 333.248 264.160 15.494 11.938 1,506,757,760.672 47,866,613.944

208 W30x99 18,774.156 333.248 265.430 17.018 13.208 1,660,763,388.144 53,277,622.477

209 W30x108 20,451.572 333.248 266.065 19.304 13.843 1,860,554,472.432 60,769,788.138

210 W30x116 22,064.472 333.248 266.573 21.590 14.351 2,052,020,928.208 68,261,953.798

211 W30x124 23,548.340 333.248 267.081 23.622 14.859 2,231,000,441.216 75,337,888.034

212 W30x132 25,096.724 333.248 267.843 25.400 15.621 2,401,655,325.712 81,581,359.418

213 W30x148 28,064.460 333.248 266.192 29.972 16.510 2,780,425,923.008 94,484,533.611

214 W30x173 32,774.128 333.248 380.619 27.051 16.637 3,413,097,689.920 248,906,392.509

215 W30x191 36,193.476 333.248 382.016 30.099 18.034 3,816,842,172.752 280,123,749.429

216 W30x211 39,999.920 333.248 383.667 33.401 19.685 4,287,183,683.680 315,087,189.179

217 W30x235 44,516.040 333.248 382.397 38.100 21.082 4,869,907,679.520 355,877,868.888

218 W30x261 49,483.772 333.248 384.937 41.910 23.622 5,452,631,675.360 399,165,937.150

219 W30x292 55,290.212 333.248 387.477 46.990 25.908 6,201,848,241.440 457,854,568.160

220 W30x326 61,741.812 333.248 390.398 52.070 28.956 6,992,687,950.080 516,126,967.744

221 W30x357 67,096.640 333.248 392.938 56.896 31.496 7,741,904,516.160 578,561,681.584

222 W30x391 73,548.240 333.248 395.986 61.976 34.544 8,615,990,509.920 645,158,709.680

223 W30x433 81,935.320 333.248 399.415 68.072 38.100 9,656,569,073.920 728,404,994.800

224 W30x477 90,322.400 333.248 402.971 74.930 41.402 10,863,640,208.160 819,975,908.432

225 W30x526 99,354.640 333.248 406.908 82.042 45.466 12,195,580,770.080 928,196,079.088

226 W30x581 109,677.200 333.248 411.480 89.916 50.038 13,735,637,044.800 1,053,065,506.768

227 W33x118 22,387.052 333.248 291.592 18.796 13.970 2,455,765,411.040 77,835,276.587

228 W33x130 24,709.628 333.248 292.354 21.717 14.732 2,792,912,865.776 90,738,450.781

229 W33x141 26,838.656 333.248 292.989 24.384 15.367 3,100,924,120.720 102,392,930.698

230 W33x152 28,838.652 333.248 293.751 26.797 16.129 3,396,448,432.896 113,631,179.189

231 W33x169 31,935.420 333.248 292.100 30.988 17.018 3,866,789,943.824 129,031,741.936

232 W33x201 38,128.956 333.248 399.923 29.210 18.161 4,786,661,394.400 311,757,337.774

233 W33x221 41,935.400 333.248 401.447 32.385 19.685 5,327,762,247.680 349,634,397.504

234 W33x241 45,741.844 333.248 402.844 35.560 21.082 5,910,486,243.520 387,927,688.659

235 W33x263 49,935.384 333.248 401.447 39.878 22.098 6,576,456,524.480 428,718,368.368

236 W33x291 55,225.696 333.248 403.987 43.942 24.384 7,367,296,233.120 482,828,453.696

237 W33x318 60,322.460 333.248 406.019 48.006 26.416 8,116,512,799.200 536,938,539.024

238 W33x354 67,096.640 333.248 408.940 53.086 29.464 9,115,468,220.640 607,697,881.376

239 W33x387 72,903.080 333.248 411.480 57.912 32.004 10,114,423,642.080 674,294,909.472

240 W33x424 79,999.840 333.248 414.401 62.992 35.052 11,196,625,348.640 749,216,566.080

241 W33x468 88,386.920 333.248 417.957 69.088 38.608 12,528,565,910.560 844,949,793.968

242 W33x515 97,419.160 333.248 421.386 75.946 41.910 14,026,999,042.720 953,169,964.624

243 W33x567 107,096.560 333.248 425.450 83.058 45.974 15,691,924,745.120 1,073,877,078.048

244 W33x619 116,773.960 333.248 429.514 89.916 50.038 17,398,473,590.080 1,194,584,191.472

245 W36x135 25,612.852 333.248 303.530 20.066 15.240 3,246,605,119.680 93,652,070.760

246 W36x150 28,516.072 333.248 304.165 23.876 15.875 3,762,732,087.424 112,382,484.912

247 W36x160 30,322.520 333.248 304.800 25.908 16.510 4,058,256,399.600 122,788,270.552

248 W36x170 32,258.000 333.248 305.562 27.940 17.272 4,370,429,968.800 133,194,056.192

249 W36x182 34,580.576 333.248 306.705 29.972 18.415 4,703,415,109.280 144,432,304.683

250 W36x194 36,774.120 333.248 307.721 32.004 19.431 5,036,400,249.760 156,086,784.600

251 W36x210 39,870.888 333.248 309.372 34.544 21.082 5,494,254,817.920 171,071,115.922

252 W36x230 43,612.816 333.248 418.338 32.004 19.304 6,243,471,384.000 391,257,540.064

253 W36x232 43,935.396 333.248 307.848 39.878 22.098 6,243,471,384.000 194,796,307.181

254 W36x245 46,516.036 333.248 419.354 34.290 20.320 6,701,325,952.160 420,393,739.856

255 W36x256 48,645.064 333.248 310.261 43.942 24.384 6,992,687,950.080 219,770,192.717

256 W36x260 49,354.740 333.248 420.370 36.576 21.336 7,200,803,662.880 453,692,253.904

257 W36x280 53,161.184 333.248 421.513 39.878 22.479 7,866,773,943.840 499,477,710.720

258 W36x300 56,967.628 333.248 423.037 42.672 24.003 8,449,497,939.680 541,100,853.280

259 W36x328 62,193.424 333.248 422.402 46.990 25.908 9,365,207,076.000 591,048,624.352

260 W36x359 67,741.800 333.248 424.942 51.054 28.448 10,322,539,354.880 653,483,338.192

261 W36x393 74,193.400 333.248 427.482 55.880 30.988 11,446,364,204.000 728,404,994.800

262 W36x439 82,580.480 333.248 430.911 61.976 34.544 12,903,174,193.600 828,300,536.944

263 W36x485 91,612.720 333.248 434.467 68.072 38.100 14,443,230,468.320 936,520,707.600

264 W36x527 99,354.640 333.248 437.388 73.914 40.894 15,941,663,600.480 1,036,416,249.744

265 W36x588 110,967.520 333.248 441.960 82.042 45.466 18,106,067,013.600 1,186,259,562.960

266 W36x650 122,580.400 333.248 446.405 89.916 50.038 20,353,716,711.840 1,344,427,504.688

267 W36x720 136,128.760 333.248 451.485 99.060 54.991 23,017,597,835.680 1,531,731,646.208

268 W36x798 150,967.440 333.248 456.946 108.966 60.452 26,056,087,242.560 1,748,171,987.520

269 W36x848 160,644.840 333.248 460.502 115.062 64.008 28,053,998,085.440 1,893,852,986.480

270 W40x149 28,258.008 333.248 299.974 21.082 16.002 4,070,743,342.368 95,316,996.462

271 W40x167 31,677.356 333.248 299.974 26.035 16.510 4,828,284,536.960 117,793,493.445

272 W40x183 34,645.092 333.248 299.974 30.988 16.510 5,535,877,960.480 139,853,759.002

273 W40x192 36,451.540 333.248 449.834 21.082 18.034 5,619,124,245.600 320,498,197.712

274 W40x199 37,677.344 333.248 400.050 27.051 16.510 6,201,848,241.440 289,280,840.792

275 W40x215 40,838.628 333.248 400.050 30.988 16.510 6,951,064,807.520 331,320,214.778

276 W40x221 41,806.368 333.248 449.834 27.051 18.034 6,909,441,664.960 411,236,648.493

277 W40x244 46,257.972 333.248 449.834 32.004 18.034 7,991,643,371.520 486,990,767.952

278 W40x249 47,290.228 333.248 400.050 36.068 19.050 8,116,512,799.200 385,430,300.106

279 W40x268 50,838.608 333.248 450.850 35.941 19.050 8,948,975,650.400 549,425,481.792

280 W40x277 52,451.508 333.248 402.082 40.005 21.082 9,115,468,220.640 432,880,682.624

281 W40x297 56,386.984 333.248 401.955 41.910 23.622 9,656,569,073.920 453,692,253.904

282 W40x298 56,516.016 333.248 452.882 40.005 21.082 10,072,800,499.520 620,184,824.144

283 W40x324 61,483.748 333.248 403.987 45.974 25.400 10,655,524,495.360 507,802,339.232

284 W40x328 62,193.424 333.248 454.914 43.942 23.114 11,155,002,206.080 690,944,166.496

285 W40x362 68,386.960 333.248 406.908 51.054 28.448 12,029,088,199.840 574,399,367.328

286 W40x397 74,838.560 333.248 409.448 55.880 30.988 13,319,405,619.200 640,996,395.424

287 W40x436 82,580.480 333.248 412.496 60.960 34.036 14,734,592,466.240 715,918,052.032

288 W40x480 90,322.400 333.248 415.544 67.056 37.084 16,441,141,311.200 807,488,965.664

289 W40x531 100,644.960 333.248 419.354 73.914 40.894 18,439,052,154.080 915,709,136.320

290 W40x593 112,257.840 333.248 423.926 82.042 45.466 20,978,063,850.240 1,048,903,192.512

291 W40x655 123,870.720 333.248 428.498 89.916 50.038 23,517,075,546.400 1,190,421,877.216

sx sy rx ry Area d bf tf tw Ix

(mm^3) (mm^3) (mm) (mm) (in^2) (in) (in) (in) (in) (in^4)

89,025.877 31,482.537 43.629 25.631 3.83 4.16 4.06 0.35 0.28 11.30

139,339.107 49,161.192 54.188 32.154 4.68 5.01 5.00 0.36 0.24 21.30

166,734.399 59,293.154 55.237 32.554 5.54 5.15 5.03 0.43 0.27 26.20

91,100.966 18,300.275 62.833 23.013 2.68 5.90 3.94 0.22 0.17 16.40

120,117.451 24,580.596 63.375 23.350 3.55 6.03 4.00 0.28 0.23 22.10

159,219.887 50,884.706 65.100 36.802 4.43 5.99 5.99 0.26 0.23 29.10

167,523.807 35,783.167 66.099 24.472 4.74 6.28 4.03 0.41 0.26 32.10

218,846.597 72,407.957 67.455 38.233 5.87 6.20 6.02 0.37 0.26 41.40

274,316.369 92,177.235 68.510 38.769 7.34 6.38 6.08 0.46 0.32 53.40

127,939.562 17,468.444 81.934 21.394 2.96 7.89 3.94 0.21 0.17 30.80

162,434.977 22,122.536 81.567 21.299 3.84 7.99 4.00 0.26 0.23 39.60

193,977.576 27,753.932 83.515 22.227 4.44 8.11 4.02 0.32 0.25 48.00

249,228.320 49,941.528 87.134 31.325 5.26 8.14 5.25 0.33 0.23 61.90

298,054.570 60,946.196 88.806 32.037 6.16 8.28 5.27 0.40 0.25 75.30

342,206.532 92,342.809 86.862 40.836 7.08 7.93 6.50 0.40 0.25 82.80

398,494.360 108,829.163 87.543 41.194 8.25 8.06 6.54 0.47 0.29 98.00

450,644.260 152,085.072 88.165 51.202 9.13 8.00 8.00 0.44 0.29 110.00

512,600.278 174,087.014 89.190 51.656 10.30 8.12 8.02 0.50 0.31 127.00

580,002.750 199,406.405 89.726 52.033 11.70 8.25 8.07 0.56 0.36 146.00

709,463.477 246,109.050 91.756 52.788 14.10 8.50 8.11 0.69 0.40 184.00

854,000.135 299,432.727 92.748 53.230 17.10 8.75 8.22 0.81 0.51 228.00

990,506.980 350,699.003 94.381 53.866 19.70 9.00 8.28 0.94 0.57 272.00

178,647.223 18,207.849 99.020 20.024 3.54 9.87 3.96 0.21 0.19 53.80

226,039.782 23,761.243 100.398 20.597 4.41 9.99 4.00 0.27 0.23 68.90

265,499.613 29,423.157 102.902 21.574 4.99 10.11 4.01 0.33 0.24 81.90

308,217.630 35,056.903 105.143 22.218 5.62 10.24 4.02 0.40 0.25 96.30

380,270.118 64,978.271 108.306 33.664 6.49 10.17 5.75 0.36 0.24 118.00

456,870.710 80,089.290 110.490 34.574 7.61 10.33 5.77 0.44 0.26 144.00

532,149.165 94,204.464 111.386 34.911 8.84 10.47 5.81 0.51 0.30 170.00

572,620.941 150,695.111 106.279 49.313 9.71 9.73 7.96 0.44 0.29 170.00

690,503.302 184,700.784 108.282 50.245 11.50 9.92 7.99 0.53 0.32 209.00

804,750.866 218,221.750 109.682 50.895 13.30 10.10 8.02 0.62 0.35 248.00

893,242.767 306,110.356 110.392 64.688 14.40 9.98 10.00 0.56 0.34 272.00

984,198.294 336,563.827 111.231 64.852 15.80 10.09 10.03 0.62 0.37 303.00

1,093,539.887 377,162.584 111.803 65.209 17.60 10.22 10.08 0.68 0.42 341.00

1,241,635.234 433,537.330 112.737 65.746 20.00 10.40 10.13 0.77 0.47 394.00

1,406,813.985 495,310.668 113.969 66.304 22.60 10.60 10.19 0.87 0.53 455.00

1,614,518.852 571,511.828 115.333 66.774 25.90 10.84 10.27 0.99 0.61 534.00

1,839,484.842 656,116.489 116.924 67.398 29.40 11.10 10.34 1.12 0.68 623.00

2,065,693.279 742,649.468 118.493 68.029 32.90 11.36 10.42 1.25 0.76 716.00

243,810.893 19,813.075 117.221 19.293 4.16 11.91 3.97 0.23 0.20 88.60

281,545.887 22,999.388 118.780 19.584 4.71 11.99 3.99 0.27 0.22 103.00

350,381.303 31,096.551 122.709 20.980 5.57 12.16 4.01 0.35 0.24 130.00

415,334.197 38,222.928 124.626 21.632 6.48 12.31 4.03 0.43 0.26 156.00

547,129.469 87,364.008 131.165 38.197 7.65 12.22 6.49 0.38 0.23 204.00

632,110.410 102,042.147 132.168 38.600 8.79 12.34 6.52 0.44 0.26 238.00

747,250.118 122,403.374 133.610 39.174 10.30 12.50 6.56 0.52 0.30 285.00

850,919.571 180,554.534 130.189 49.103 11.80 11.94 8.01 0.52 0.30 310.00

951,156.285 203,692.530 130.792 49.435 13.20 12.06 8.05 0.58 0.34 350.00

1,059,311.438 228,364.283 131.499 49.708 14.70 12.19 8.08 0.64 0.37 394.00

1,154,975.489 314,133.213 132.576 62.944 15.60 12.06 10.00 0.58 0.35 425.00

1,277,088.663 350,332.837 134.263 63.724 17.00 12.19 10.01 0.64 0.36 475.00

1,441,304.474 475,224.856 134.178 76.664 19.10 12.12 12.00 0.61 0.39 533.00

1,597,237.095 530,810.213 135.108 77.216 21.10 12.25 12.04 0.67 0.43 597.00

1,752,542.224 586,027.454 135.681 77.503 23.20 12.38 12.08 0.74 0.47 662.00

1,935,582.978 651,428.029 136.562 77.933 25.60 12.53 12.13 0.81 0.52 740.00

2,147,981.796 727,715.013 138.048 78.594 28.20 12.71 12.16 0.90 0.55 833.00

2,372,246.813 807,284.168 138.898 78.893 31.20 12.89 12.22 0.99 0.61 933.00

2,672,890.012 917,781.994 139.842 79.406 35.30 13.12 12.32 1.11 0.71 1070.00

3,097,554.780 1,051,943.786 141.598 80.221 39.90 13.41 12.40 1.25 0.79 1240.00

3,572,180.110 1,192,263.951 143.664 80.948 44.70 13.71 12.48 1.40 0.87 1430.00

4,121,746.280 1,347,989.195 145.912 81.676 50.00 14.03 12.57 1.56 0.96 1650.00

4,721,273.012 1,523,596.006 147.825 82.523 55.80 14.38 12.67 1.74 1.06 1890.00

5,345,780.024 1,701,487.177 149.467 83.258 61.80 14.71 12.79 1.90 1.18 2140.00

6,045,227.878 1,885,878.478 151.861 84.089 67.70 15.05 12.90 2.07 1.29 2420.00

6,794,636.293 2,086,657.284 153.890 84.906 74.10 15.41 13.01 2.25 1.40 2720.00

7,768,867.232 2,337,089.645 156.521 85.914 81.90 15.85 13.14 2.47 1.53 3110.00

8,867,999.573 2,600,138.602 159.880 86.951 89.60 16.32 13.24 2.71 1.63 3550.00

10,141,993.878 2,913,799.949 162.824 88.151 98.80 16.82 13.39 2.96 1.78 4060.00

497,107.582 45,883.779 140.649 26.379 6.49 13.74 5.00 0.34 0.23 199.00

612,016.872 58,047.709 143.368 27.325 7.69 13.91 5.03 0.42 0.26 245.00

726,926.162 95,449.169 145.649 37.800 8.85 13.84 6.73 0.39 0.27 291.00

849,329.537 113,215.298 148.106 38.771 10.00 13.98 6.75 0.46 0.29 340.00

961,740.799 129,256.901 148.921 39.218 11.20 14.10 6.77 0.52 0.31 385.00

1,069,156.005 185,289.629 148.037 48.108 12.60 13.66 8.00 0.53 0.31 428.00

1,211,543.604 209,787.071 148.969 48.496 14.10 13.79 8.03 0.60 0.34 485.00

1,351,433.174 234,623.720 149.579 48.849 15.60 13.92 8.06 0.66 0.37 541.00

1,598,737.951 350,858.599 151.879 62.101 17.90 13.89 10.00 0.65 0.38 640.00

1,806,074.279 395,183.805 152.717 62.476 20.00 14.04 10.04 0.72 0.42 723.00

1,988,430.327 436,120.472 153.484 62.974 21.80 14.17 10.07 0.79 0.45 796.00

2,203,260.739 478,832.275 153.660 62.944 24.10 14.31 10.13 0.86 0.51 882.00

2,495,530.021 817,096.029 155.953 93.878 26.50 14.02 14.52 0.71 0.44 999.00

2,772,811.134 904,579.434 156.873 94.406 29.10 14.16 14.57 0.78 0.49 1110.00

3,097,554.780 1,003,083.548 158.114 94.932 32.00 14.32 14.61 0.86 0.53 1240.00

3,447,278.707 1,105,875.485 158.813 95.115 35.30 14.48 14.67 0.94 0.59 1380.00

3,821,982.915 1,219,709.483 159.501 95.457 38.80 14.66 14.73 1.03 0.65 1530.00

4,271,627.963 1,431,489.333 160.738 101.138 42.70 14.78 15.50 1.09 0.68 1710.00

4,746,253.293 1,575,011.098 162.014 101.654 46.70 14.98 15.57 1.19 0.75 1900.00

5,345,780.024 1,754,934.138 163.258 102.162 51.80 15.22 15.65 1.31 0.83 2140.00

5,995,267.317 1,942,247.815 165.107 102.833 56.80 15.48 15.71 1.44 0.89 2400.00

6,644,754.610 2,136,541.256 166.371 103.528 62.00 15.72 15.80 1.56 0.98 2660.00

7,519,064.427 2,371,947.590 168.373 104.073 68.50 16.04 15.89 1.72 1.07 3010.00

8,493,295.366 2,643,240.083 170.338 104.922 75.60 16.38 16.00 1.89 1.18 3400.00

9,592,427.707 2,929,530.994 172.455 105.607 83.30 16.74 16.11 2.07 1.29 3840.00

10,816,461.451 3,251,161.188 174.825 106.604 91.40 17.12 16.23 2.26 1.41 4330.00

12,240,337.439 3,625,988.489 176.918 107.526 101.00 17.54 16.36 2.47 1.54 4900.00

13,589,272.585 3,958,756.584 179.440 108.529 109.00 17.92 16.48 2.66 1.66 5440.00

14,988,168.293 4,286,911.257 181.893 109.388 117.00 18.29 16.59 2.85 1.77 6000.00

16,486,985.122 4,632,940.526 184.566 110.366 125.00 18.67 16.70 3.04 1.88 6600.00

17,960,821.671 4,983,769.984 186.057 111.020 134.00 19.02 16.84 3.21 2.02 7190.00

20,508,810.280 5,549,058.709 189.822 112.427 147.00 19.60 17.01 3.50 2.19 8210.00

23,556,404.500 6,192,785.814 193.790 113.767 162.00 20.24 17.20 3.82 2.38 9430.00

26,978,702.927 6,925,569.396 197.850 115.491 178.00 20.92 17.42 4.16 2.60 10800.00

30,975,547.805 7,743,235.907 202.030 117.158 196.00 21.64 17.65 4.52 2.83 12400.00

35,721,801.098 8,646,947.130 207.149 119.011 215.00 22.42 17.89 4.91 3.07 14300.00

751,906.443 57,205.751 159.014 28.398 7.68 15.69 5.50 0.35 0.25 301.00

936,760.518 73,556.414 162.874 29.617 9.12 15.88 5.53 0.44 0.28 375.00

1,119,116.566 114,955.782 165.128 38.616 10.60 15.86 6.99 0.43 0.30 448.00

1,293,978.529 135,407.048 168.290 39.750 11.80 16.01 7.00 0.51 0.31 518.00

1,463,844.437 152,806.169 168.600 39.888 13.30 16.13 7.04 0.57 0.35 586.00

1,646,200.484 172,446.614 170.066 40.406 14.70 16.26 7.07 0.63 0.38 659.00

1,893,505.261 198,393.949 170.614 40.683 16.80 16.43 7.12 0.72 0.43 758.00

2,383,118.759 381,057.277 176.756 62.427 19.70 16.33 10.24 0.67 0.40 954.00

2,772,811.134 439,322.940 178.009 62.765 22.60 16.52 10.30 0.76 0.46 1110.00

3,247,436.463 515,405.969 178.918 63.354 26.20 16.75 10.37 0.88 0.53 1300.00

3,722,061.793 584,747.032 180.823 63.888 29.40 16.97 10.43 0.99 0.59 1490.00

1,273,994.305 83,574.026 178.731 30.957 10.30 17.70 6.00 0.43 0.30 510.00

1,528,793.166 104,070.797 182.923 32.315 11.80 17.90 6.02 0.53 0.32 612.00

1,778,595.971 121,686.119 184.462 32.791 13.50 18.06 6.06 0.61 0.36 712.00

1,998,422.439 175,349.237 187.379 41.951 14.70 17.99 7.50 0.57 0.36 800.00

2,223,244.963 195,426.075 188.266 42.286 16.20 18.11 7.53 0.63 0.39 890.00

2,458,059.600 217,337.368 189.922 42.854 17.60 18.24 7.56 0.70 0.42 984.00

2,672,890.012 236,630.068 190.112 43.024 19.10 18.35 7.59 0.75 0.45 1070.00

2,922,692.817 258,844.783 190.500 43.247 20.80 18.47 7.64 0.81 0.50 1170.00

3,322,377.305 451,442.452 196.158 66.314 22.30 18.21 11.04 0.68 0.43 1330.00

3,821,982.915 517,175.149 197.524 66.802 25.30 18.39 11.09 0.77 0.48 1530.00

4,371,549.085 591,081.178 199.035 67.454 28.50 18.59 11.15 0.87 0.54 1750.00

4,771,233.573 643,777.514 199.054 67.556 31.10 18.73 11.20 0.94 0.59 1910.00

5,470,681.427 736,072.293 200.633 68.193 35.10 18.97 11.27 1.06 0.66 2190.00

6,145,149.000 816,416.450 203.831 68.521 38.20 19.25 11.16 1.20 0.67 2460.00

6,869,577.134 908,445.081 205.286 69.036 42.10 19.49 11.22 1.32 0.73 2750.00

7,643,965.829 1,006,426.762 206.492 69.536 46.30 19.72 11.30 1.44 0.81 3060.00

8,618,196.768 1,126,565.631 208.298 70.123 51.30 20.04 11.38 1.59 0.89 3450.00

9,667,368.549 1,258,892.739 210.402 70.945 56.40 20.35 11.46 1.75 0.96 3870.00

10,816,461.451 1,398,324.977 212.096 71.567 62.10 20.67 11.56 1.91 1.06 4330.00

12,240,337.439 1,569,782.268 214.357 72.336 68.80 21.06 11.65 2.11 1.16 4900.00

13,764,134.549 1,748,696.039 216.416 73.062 75.90 21.46 11.77 2.30 1.28 5510.00

15,387,852.780 1,940,537.099 218.556 73.885 83.20 21.85 11.89 2.50 1.40 6160.00

17,386,275.220 2,170,381.654 221.528 74.870 91.50 22.32 12.01 2.74 1.52 6960.00

2,105,837.645 104,372.992 204.539 32.051 13.00 20.66 6.50 0.45 0.35 843.00

2,458,059.600 124,973.321 207.813 33.058 14.70 20.83 6.53 0.54 0.38 984.00

2,922,692.817 152,995.929 212.603 34.382 16.70 21.06 6.56 0.65 0.41 1170.00

3,322,377.305 228,702.956 216.538 45.024 18.30 20.99 8.24 0.62 0.40 1330.00

3,697,081.512 256,407.023 218.499 45.685 20.00 21.13 8.27 0.69 0.43 1480.00

3,996,844.878 278,945.562 219.116 46.027 21.50 21.24 8.30 0.74 0.46 1600.00

4,571,391.329 319,307.483 220.423 46.488 24.30 21.43 8.36 0.84 0.52 1830.00

5,170,918.061 361,605.284 221.176 46.855 27.30 21.62 8.42 0.93 0.58 2070.00

6,045,227.878 661,349.369 228.893 73.274 29.80 21.36 12.29 0.80 0.50 2420.00

6,669,734.890 727,723.750 229.517 73.525 32.70 21.51 12.34 0.88 0.55 2670.00

7,394,163.024 806,788.462 230.639 74.035 35.90 21.68 12.39 0.96 0.60 2960.00

8,043,650.317 877,313.877 231.391 74.411 38.80 21.83 12.44 1.04 0.65 3220.00

9,067,841.817 985,057.724 232.833 74.935 43.20 22.06 12.51 1.15 0.72 3630.00

10,691,560.049 1,147,886.126 237.873 75.835 48.80 22.48 12.42 1.36 0.75 4280.00

11,815,672.671 1,266,392.306 238.606 76.247 53.60 22.72 12.50 1.48 0.83 4730.00

13,264,528.939 1,412,610.527 240.558 76.855 59.20 23.03 12.58 1.63 0.91 5310.00

14,863,266.890 1,574,709.582 242.272 77.509 65.40 23.35 12.68 1.79 1.00 5950.00

16,886,669.610 1,780,449.693 244.761 78.424 72.80 23.74 12.78 1.99 1.10 6760.00

19,034,973.732 1,995,941.853 246.664 79.170 80.80 24.13 12.89 2.19 1.22 7620.00

21,183,277.854 2,202,603.060 249.056 79.911 88.20 24.53 12.99 2.38 1.32 8480.00

24,006,049.549 2,481,148.761 251.654 80.935 97.90 25.00 13.13 2.62 1.46 9610.00

26,978,702.927 2,767,208.697 255.184 82.177 107.00 25.47 13.27 2.85 1.59 10800.00

30,475,942.195 3,105,046.069 258.269 83.329 118.00 26.02 13.41 3.13 1.73 12200.00

3,372,337.866 136,149.482 231.869 34.043 16.20 23.57 7.01 0.51 0.40 1350.00

3,871,943.476 160,611.849 234.403 34.971 18.20 23.74 7.04 0.59 0.43 1550.00

4,571,391.329 257,367.386 242.360 47.536 20.10 23.73 8.97 0.59 0.42 1830.00

5,245,858.902 300,763.689 245.934 48.746 22.40 23.92 8.99 0.68 0.44 2100.00

5,920,326.476 343,001.960 248.805 49.656 24.70 24.10 9.02 0.77 0.47 2370.00

6,744,675.732 394,084.937 250.770 50.386 27.70 24.31 9.07 0.88 0.52 2700.00

7,494,084.146 433,346.804 252.739 50.337 30.30 24.53 9.00 0.98 0.55 3000.00

7,743,886.951 665,764.639 255.655 73.896 30.60 24.06 12.75 0.75 0.50 3100.00

8,843,019.293 760,462.189 257.665 74.633 34.40 24.26 12.80 0.85 0.55 3540.00

10,042,072.756 866,838.080 259.547 75.482 38.50 24.48 12.86 0.96 0.61 4020.00

11,440,968.463 993,386.360 262.139 76.593 43.00 24.74 12.90 1.09 0.65 4580.00

12,914,805.012 1,120,720.857 264.436 77.406 47.70 25.00 12.96 1.22 0.71 5170.00

14,188,799.317 1,217,905.920 266.233 77.314 51.70 25.24 12.89 1.34 0.75 5680.00

15,637,655.585 1,341,334.968 267.835 77.932 56.30 25.47 12.95 1.46 0.81 6260.00

17,036,551.293 1,456,068.100 269.235 78.380 60.70 25.71 13.01 1.57 0.87 6820.00

19,109,914.573 1,627,456.699 271.007 79.057 67.20 26.02 13.11 1.73 0.96 7650.00

21,208,258.134 1,799,656.327 272.988 79.719 73.50 26.34 13.19 1.89 1.04 8490.00

23,981,069.268 2,027,291.044 274.829 80.469 82.00 26.73 13.31 2.09 1.16 9600.00

26,728,900.122 2,246,879.794 277.260 81.256 89.80 27.13 13.41 2.28 1.26 10700.00

29,726,533.780 2,496,845.550 279.325 82.178 98.40 27.52 13.52 2.48 1.38 11900.00

33,473,575.854 2,783,161.675 282.927 83.244 108.00 27.99 13.66 2.72 1.52 13400.00

37,720,223.537 3,134,916.591 286.120 84.595 119.00 28.54 13.80 2.99 1.65 15100.00

42,716,279.634 3,499,351.539 289.098 85.337 132.00 29.09 13.96 3.27 1.81 17100.00

47,712,335.732 3,877,633.281 292.529 86.499 144.00 29.65 14.12 3.54 1.97 19100.00

7,119,379.939 348,800.961 272.289 52.512 24.80 26.71 9.96 0.64 0.46 2850.00

8,168,551.720 406,805.993 275.974 53.741 27.70 26.92 9.99 0.75 0.49 3270.00

9,042,861.537 454,878.062 279.015 54.674 30.00 27.09 10.02 0.83 0.52 3620.00

10,216,934.720 517,486.232 280.655 55.336 33.50 27.29 10.07 0.93 0.57 4090.00

11,890,613.512 602,441.514 285.030 56.040 37.80 27.63 10.01 1.10 0.61 4760.00

14,063,897.915 1,039,666.216 290.977 81.622 42.90 27.38 13.97 0.98 0.61 5630.00

15,687,616.146 1,161,821.799 292.364 82.248 47.40 27.59 14.02 1.08 0.66 6280.00

17,461,216.061 1,291,419.314 293.644 82.743 52.30 27.81 14.09 1.19 0.73 6990.00

19,534,579.341 1,443,135.811 297.509 83.635 57.00 28.11 14.04 1.34 0.75 7820.00

22,157,508.793 1,634,643.012 299.492 84.374 63.80 28.43 14.12 1.50 0.83 8870.00

24,130,950.951 1,773,821.727 300.319 84.679 69.10 28.66 14.19 1.61 0.91 9660.00

26,978,702.927 1,972,878.483 303.387 85.562 75.70 28.98 14.27 1.77 0.98 10800.00

29,726,533.780 2,176,567.525 304.872 86.276 82.60 29.29 14.35 1.93 1.06 11900.00

32,724,167.439 2,382,335.369 306.102 86.661 90.20 29.61 14.45 2.09 1.16 13100.00

36,221,406.707 2,636,351.307 307.864 87.452 98.70 30.00 14.55 2.28 1.26 14500.00

40,218,251.585 2,927,658.212 310.124 88.462 108.00 30.39 14.67 2.48 1.38 16100.00

45,214,307.683 3,277,412.800 313.256 89.576 119.00 30.87 14.80 2.72 1.52 18100.00

50,959,772.195 3,663,506.945 316.966 90.689 131.00 31.42 14.94 2.99 1.65 20400.00

57,204,842.317 4,103,550.972 319.203 91.702 145.00 31.97 15.10 3.27 1.81 22900.00

63,699,715.244 4,533,163.558 322.682 92.821 158.00 32.52 15.26 3.54 1.97 25500.00

9,042,861.537 362,406.223 297.431 53.013 26.40 29.53 10.40 0.61 0.47 3620.00

9,967,131.915 401,443.864 297.422 53.271 29.10 29.65 10.45 0.67 0.52 3990.00

11,166,185.378 456,804.075 301.618 54.511 31.70 29.83 10.48 0.76 0.55 4470.00

12,315,278.280 512,144.544 304.961 55.621 34.20 30.01 10.50 0.85 0.57 4930.00

13,389,430.341 564,157.600 307.801 56.562 36.50 30.17 10.52 0.93 0.59 5360.00

14,413,621.841 609,172.981 309.348 57.015 38.90 30.31 10.55 1.00 0.62 5770.00

16,686,827.366 709,897.620 314.758 58.023 43.50 30.67 10.48 1.18 0.65 6680.00

20,483,830.000 1,307,903.139 322.707 87.147 50.80 30.44 14.99 1.07 0.66 8200.00

22,906,917.207 1,466,555.063 324.741 87.975 56.10 30.68 15.04 1.19 0.71 9170.00

25,729,688.902 1,642,503.469 327.383 88.754 62.00 30.94 15.11 1.32 0.78 10300.00

29,226,928.171 1,861,300.527 330.752 89.411 69.00 31.30 15.06 1.50 0.83 11700.00

32,724,167.439 2,073,928.654 331.949 89.814 76.70 31.61 15.16 1.65 0.93 13100.00

37,220,617.927 2,363,260.623 334.916 91.000 85.70 32.01 15.26 1.85 1.02 14900.00

41,966,871.220 2,644,106.618 336.537 91.430 95.70 32.40 15.37 2.05 1.14 16800.00

46,463,321.707 2,944,798.831 339.683 92.859 104.00 32.80 15.47 2.24 1.24 18600.00

51,709,180.610 3,258,492.521 342.268 93.658 114.00 33.19 15.59 2.44 1.36 20700.00

57,954,250.732 3,647,359.237 343.302 94.287 127.00 33.66 15.73 2.68 1.50 23200.00

65,198,532.073 4,069,652.200 346.809 95.280 140.00 34.21 15.87 2.95 1.63 26100.00

73,192,221.829 4,562,191.351 350.354 96.655 154.00 34.76 16.02 3.23 1.79 29300.00

82,434,925.610 5,118,428.632 353.888 97.987 170.00 35.39 16.20 3.54 1.97 33000.00

14,738,365.488 533,864.280 331.204 58.964 34.70 32.86 11.48 0.74 0.55 5900.00

16,761,768.207 620,743.693 336.198 60.599 38.30 33.09 11.51 0.86 0.58 6710.00

18,610,308.963 698,954.095 339.911 61.767 41.60 33.30 11.54 0.96 0.61 7450.00

20,383,908.878 773,656.459 343.182 62.771 44.70 33.49 11.57 1.06 0.64 8160.00

23,206,680.573 883,476.494 347.968 63.564 49.50 33.82 11.50 1.22 0.67 9290.00

28,727,322.561 1,559,086.813 354.314 90.423 59.10 33.68 15.75 1.15 0.72 11500.00

31,974,759.024 1,741,870.770 356.436 91.310 65.00 33.93 15.81 1.28 0.78 12800.00

35,471,998.293 1,925,944.975 359.463 92.091 70.90 34.18 15.86 1.40 0.83 14200.00

39,468,843.171 2,135,865.349 362.904 92.658 77.40 34.53 15.81 1.57 0.87 15800.00

44,215,096.463 2,390,316.786 365.244 93.503 85.60 34.84 15.91 1.73 0.96 17700.00

48,711,546.951 2,644,893.658 366.813 94.346 93.50 35.16 15.99 1.89 1.04 19500.00

54,706,814.268 2,972,063.781 368.586 95.169 104.00 35.55 16.10 2.09 1.16 21900.00

60,702,081.585 3,277,412.800 372.475 96.173 113.00 35.95 16.20 2.28 1.26 24300.00

67,196,954.512 3,615,901.342 374.110 96.774 124.00 36.34 16.32 2.48 1.38 26900.00

75,190,644.268 4,043,237.912 376.493 97.774 137.00 36.81 16.46 2.72 1.52 30100.00

84,183,545.244 4,523,975.474 379.455 98.915 151.00 37.36 16.59 2.99 1.65 33700.00

94,175,657.439 5,048,194.044 382.781 100.136 166.00 37.91 16.75 3.27 1.81 37700.00

104,417,572.439 5,562,492.452 385.996 101.143 181.00 38.47 16.91 3.54 1.97 41800.00

19,484,618.780 617,086.092 356.029 60.469 39.70 35.55 11.95 0.79 0.60 7800.00

22,582,173.561 738,957.375 363.251 62.778 44.20 35.85 11.98 0.94 0.63 9040.00

24,355,773.476 805,697.313 365.837 63.635 47.00 36.01 12.00 1.02 0.65 9750.00

26,229,294.512 871,797.254 368.081 64.257 50.00 36.17 12.03 1.10 0.68 10500.00

28,227,716.951 941,832.084 368.800 64.627 53.60 36.33 12.08 1.18 0.73 11300.00

30,226,139.390 1,014,469.501 370.074 65.150 57.00 36.49 12.12 1.26 0.77 12100.00

32,973,970.244 1,105,925.009 371.216 65.503 61.80 36.69 12.18 1.36 0.83 13200.00

37,470,420.732 1,870,533.110 378.361 94.716 67.60 35.90 16.47 1.26 0.76 15000.00

37,470,420.732 1,265,535.636 376.969 66.586 68.10 37.12 12.12 1.57 0.87 15000.00

40,218,251.585 2,004,958.769 379.559 95.066 72.10 36.08 16.51 1.35 0.80 16100.00

41,966,871.220 1,416,679.458 379.143 67.215 75.40 37.43 12.22 1.73 0.96 16800.00

43,215,885.244 2,158,537.735 381.967 95.877 76.50 36.26 16.55 1.44 0.84 17300.00

47,212,730.122 2,369,927.906 384.681 96.931 82.40 36.52 16.60 1.57 0.89 18900.00

50,709,969.390 2,558,172.705 385.125 97.460 88.30 36.74 16.66 1.68 0.95 20300.00

56,205,631.098 2,798,512.433 388.049 97.485 96.40 37.09 16.63 1.85 1.02 22500.00

61,951,095.610 3,075,635.443 390.360 98.218 105.00 37.40 16.73 2.01 1.12 24800.00

68,695,771.341 3,407,886.156 392.782 99.084 115.00 37.80 16.83 2.20 1.22 27500.00

77,438,869.512 3,844,415.840 395.284 100.151 128.00 38.26 16.97 2.44 1.36 31000.00

86,681,573.293 4,311,124.700 397.058 101.107 142.00 38.74 17.11 2.68 1.50 34700.00

95,674,474.268 4,739,116.070 400.565 102.135 154.00 39.21 17.22 2.91 1.61 38300.00

108,664,220.122 5,368,176.138 403.937 103.393 172.00 39.84 17.40 3.23 1.79 43500.00

122,153,571.585 6,023,353.254 407.485 104.727 190.00 40.47 17.58 3.54 1.97 48900.00

138,140,951.098 6,785,304.700 411.202 106.076 211.00 41.19 17.78 3.90 2.17 55300.00

156,376,555.854 7,651,547.393 415.444 107.609 234.00 41.97 17.99 4.29 2.38 62600.00

168,367,090.488 8,225,167.259 417.892 108.577 249.00 42.45 18.13 4.53 2.52 67400.00

24,430,714.317 635,501.720 379.547 58.078 43.80 38.20 11.81 0.83 0.63 9780.00

28,977,125.366 785,358.021 390.411 60.980 49.10 38.59 11.81 1.03 0.65 11600.00

33,223,773.049 932,439.205 399.735 63.535 53.70 38.98 11.81 1.22 0.65 13300.00

33,723,378.659 1,424,962.087 392.624 93.768 56.50 38.20 17.71 0.83 0.71 13500.00

37,220,617.927 1,446,223.426 405.714 87.623 58.40 38.67 15.75 1.07 0.65 14900.00

41,717,068.415 1,656,394.025 412.563 90.072 63.30 38.98 15.75 1.22 0.65 16700.00

41,467,265.610 1,828,392.912 406.537 99.180 64.80 38.67 17.71 1.07 0.71 16600.00

47,962,138.537 2,165,202.132 415.647 102.605 71.70 39.06 17.71 1.26 0.71 19200.00

48,711,546.951 1,926,910.637 414.285 90.279 73.30 39.38 15.75 1.42 0.75 19500.00

53,707,603.049 2,437,287.265 419.556 103.958 78.80 39.37 17.75 1.42 0.75 21500.00

54,706,814.268 2,153,196.028 416.879 90.846 81.30 39.69 15.83 1.58 0.83 21900.00

57,954,250.732 2,257,428.090 413.830 89.700 87.40 39.84 15.83 1.65 0.93 23200.00

60,452,278.780 2,738,836.271 422.172 104.755 87.60 39.69 17.83 1.58 0.83 24200.00

63,949,518.049 2,513,953.861 416.301 90.880 95.30 40.16 15.91 1.81 1.00 25600.00

66,947,151.707 3,037,691.372 423.509 105.402 96.40 40.00 17.91 1.73 0.91 26800.00

72,193,010.610 2,823,239.491 419.401 91.647 106.00 40.55 16.02 2.01 1.12 28900.00

79,936,897.561 3,131,027.117 421.871 92.548 116.00 40.95 16.12 2.20 1.22 32000.00

88,430,192.927 3,471,151.488 422.406 93.109 128.00 41.34 16.24 2.40 1.34 35400.00

98,672,107.927 3,886,418.601 426.647 94.552 140.00 41.81 16.36 2.64 1.46 39500.00

110,662,642.561 4,367,236.923 428.029 95.386 156.00 42.34 16.51 2.91 1.61 44300.00

125,900,613.659 4,948,520.225 432.289 96.663 174.00 42.99 16.69 3.23 1.79 50400.00

141,138,584.756 5,556,254.065 435.720 98.032 192.00 43.62 16.87 3.54 1.97 56500.00

Iy

(in^4)

3.90

7.50

9.10

2.20

3.00

9.30

4.40

13.30

17.10

2.10

2.70

3.40

8.00

9.80

18.30

21.70

37.10

42.60

49.10

60.90

75.10

88.60

2.20

2.90

3.60

4.30

11.40

14.10

16.70

36.60

45.00

53.40

93.40

103.00

116.00

134.00

154.00

179.00

207.00

236.00

2.40

2.80

3.80

4.70

17.30

20.30

24.50

44.10

50.00

56.30

95.80

107.00

174.00

195.00

216.00

241.00

270.00

301.00

345.00

398.00

454.00

517.00

589.00

664.00

742.00

828.00

937.00

1050.00

1190.00

7.00

8.90

19.60

23.30

26.70

45.20

51.40

57.70

107.00

121.00

134.00

148.00

362.00

402.00

447.00

495.00

548.00

677.00

748.00

838.00

931.00

1030.00

1150.00

1290.00

1440.00

1610.00

1810.00

1990.00

2170.00

2360.00

2560.00

2880.00

3250.00

3680.00

4170.00

4720.00

9.60

12.40

24.50

28.90

32.80

37.20

43.10

119.00

138.00

163.00

186.00

15.30

19.10

22.50

40.10

44.90

50.10

54.80

60.30

152.00

175.00

201.00

220.00

253.00

278.00

311.00

347.00

391.00

440.00

493.00

558.00

628.00

704.00

795.00

20.70

24.90

30.60

57.50

64.70

70.60

81.40

92.90

248.00

274.00

305.00

333.00

376.00

435.00

483.00

542.00

609.00

694.00

785.00

873.00

994.00

1120.00

1270.00

29.10

34.50

70.40

82.50

94.40

109.00

119.00

259.00

297.00

340.00

391.00

443.00

479.00

530.00

578.00

651.00

724.00

823.00

919.00

1030.00

1160.00

1320.00

1490.00

1670.00

106.00

124.00

139.00

159.00

184.00

443.00

497.00

555.00

618.00

704.00

768.00

859.00

953.00

1050.00

1170.00

1310.00

1480.00

1670.00

1890.00

2110.00

115.00

128.00

146.00

164.00

181.00

196.00

227.00

598.00

673.00

757.00

855.00

959.00

1100.00

1240.00

1390.00

1550.00

1750.00

1970.00

2230.00

2530.00

187.00

218.00

246.00

273.00

310.00

749.00

840.00

932.00

1030.00

1160.00

1290.00

1460.00

1620.00

1800.00

2030.00

2290.00

2580.00

2870.00

225.00

270.00

295.00

320.00

347.00

375.00

411.00

940.00

468.00

1010.00

528.00

1090.00

1200.00

1300.00

1420.00

1570.00

1750.00

1990.00

2250.00

2490.00

2850.00

3230.00

3680.00

4200.00

4550.00

229.00

283.00

336.00

770.00

695.00

796.00

988.00

1170.00

926.00

1320.00

1040.00

1090.00

1490.00

1220.00

1660.00

1380.00

1540.00

1720.00

1940.00

2200.00

2520.00

2860.00

clear