structural analysis and design project of ls
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GUILLERMO, Lou Stalin Dominique D.J. - 2007101109 Page 1
1STRUCTURAL STEEL DESIGN
PLANS AND DRAWINGS
A. VICINITY MAP 12 356565333
LOCATION: PUERTO PRINSESA, PALAWAN, PHILIPPINES
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2STRUCTURAL STEEL DESIGN
B. DETAILS OF FLOOR PLAN/ FRAMING PLAN
5.375m.
5.375m.
5m.
10.75m. 10.75m. 10.75m. 10.75m.
B1
B2
B3
B9
B4
B5 B6B7
B8
S1 S2 S3 S4
S5 S6S7 S8
S9 S10 S11 S12
C1 C2 C3C4
C5
C6
C7
C8
C13
C9
C14
C10
C15
C11
C16
C12
C17
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3STRUCTURAL STEEL DESIGN
GROUND FLOOR PLAN
SECOND FLOOR PLAN
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4STRUCTURAL STEEL DESIGN
C. ELEVATIONS
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5STRUCTURAL STEEL DESIGN
D. STRUCTURAL DETAILS AND SPECIFICATIONS
Design code: NSCP ASD sdsds 2232 2322222s
Strength: LC channel purlins: Fy= 170 Mpa
Columns, 222 22
Slab Weight Concrete 150 mm thick
Frame PartitionsWood or steel studs, 13 mm.
gypsum board each side0.38 kPa
Ceiling LoadGypsum board + mechanical duct
allowance1.2 + 0.2 = 1.4 kPa
FlooringConcrete fill finish + hardwood
flooring0.345 + 0.19 = 0.535 kPa
Frame walls
Window, glass, frames and sash +
wood sheating 0.38+ 0.855 = 1.235 kPa
STRUCTURAL ANALYSIS AND DESIGN
A. BASIS OF DESIGN
Student Number: 2007101109
Code: 101109
Z=1
Y=0
X=2
W=6
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6STRUCTURAL STEEL DESIGN
V=0
U=2
Type of Occupancy: Commercial Building (Office)
Location of the Project: Puerto Prinsesa, Palawan, Philippines
Type of Truss: Pratt Truss
Span of Truss, ST = 10.75 meters
Angle of Inclination (Truss), θ = 22.10°
Bay Distance, L = 10.75 meters
Concrete slab thickness = 150mm.
Beams and columns are made of wide-flange sections
`
1.5
L L L L
1.5m
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7STRUCTURAL STEEL DESIGN
ROOF FRAMING PLAN
LC (channel) purlins with sagrads and tierods
Roofing: corrugated galvanized iron (g.i.): gage 22
HEIGHT OF COLUMN, H
H1= 3.0m
H2= 2.75m.
Roof
height
H2
0.6
H1
0.6
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8STRUCTURAL STEEL DESIGN
LEFT SIDE ELEVATION
B. LOADING COMPUTATIONS
Galvanized iron roofing gage 22 (w = 2.4 lbs/ft2)
x = ST / division of truss = 10.75 / 6 = 1.792 m.
S = x / cosө = 1.792 / cos(22.1) = 1.934 m.
h = (tanө)*(ST/2) = 2.183 m.
a. Dead Loads, DL
Galvanized iron roofing gage 22 (w = 2.4 lbs/ft2)
c = -0.01
A
B
D
F
H
J
L
C E G I K
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9STRUCTURAL STEEL DESIGN
RL= (2.4)(
)(9.81 )( )2(0.895m) = 102.86 N/m
b. Live Loads, LL
Tributary Area, AT = 10.75 x 10.75 = 115.5625 mm2
RLL= (0.6) (0.895) = 0.537 KN/m = 537 N/m
c. Wind Loads, WL
WL= (c) (q)
H= 0.6+ 3.0 + 0.6 + 2.7 +2.183 = 9.133 meters
Height Zone = (9.133 m) (
) = 29.962 ft
C= 1.3 sin 0.5 1.3 sin 22.10 0.5 0.010908
q= 20 lb/ft ( zone III )
2.7
0.6
3.0
0.6
2.183
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10STRUCTURAL STEEL DESIGN
WLWINDWARD = 0.010908 ( ) ( ) (9.81 m/s2
) ( )2
(0.967m) = 9.26 N/m
WLLEEWARD = 0.5 ( ) ( ) (9.81 m/s2) ( ) 2 (0.967m) = 463.08 N/m
C. DESIGN OF PURLINS, SAGRODS AND TIERODS
Design of Purlins
Critical load = (Suction is not included)
[Getting the data from Association of Structural Engineers of the Philippines (ASEP) Steel Manual]
Data Given:
Fy = 170 Mpa
LC 225 x 90 x 25 x 4.5
Weight, w (kg/m) 15.81
Area, A (mm2) 2015
Section Modulus about X, S x (x 103
mm3)
150.8
Section Modulus about Y, S y (x 103
mm3)
30.3
c = -0.01
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11STRUCTURAL STEEL DESIGN
According on what we learn in the previous topic of this subject,
1.00by bx
bx by
f f
F F
This is the formula in computing the adequacy of purlins… Where:
f bx & f by = actual bending stress along X and Y axis respectively
Fbx & Fby = allowable bending stress along X and Y axis respectively
The section is said to economical if the interaction expression falls under the range
0.8 0.9by bx
bx by
f f
F F .
Assume that the purlins have compact sections.
If it is compact, Fbx = 0.66Fy and Fby = 0.75Fy where Fy = 170 MPa
Computing for the total weight, wT
Self weight= (15.81) (9.81 m/s2) = 155.0961 N/m
T w DL LL
WT = [(155.0961+537+102.86)= 794.9561 N/m
After solving the total weight, solve for the total weight components, W x and W y
Wx = WT cos22.1˚ = 794.9561 N/m (cos22.1˚)
Wx = 736.5496 N/m
Wy = WT sin22.1˚ = 794.0561 N/m (sin22.1˚)
Wy = 299.0818 N/m
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GUILLERMO, Lou Stalin Dominique D.J. - 2007101109 Page 12
12STRUCTURAL STEEL DESIGN
Solving for moment about X and Y, M x and M y
Mx = My =
Mx = My=
Mx = 10.64 kN-m My = 1.08 kN-m
Solving actual stress along X and Y, f bx and f by
f bx = f by =
f bx = f by =
f bx =70.56 MPa f by =40 MPa
Solving allowable stress about X and Y, Fbx and Fby
Fbx = 0.66 Fy Fby = 0.75 Fy
Fbx = 0.66 (170) Fby = 0.75 (170)
Fbx = 112.2 MPa Fby = 127.5 MPa
Solving for the interaction expression,by bx
bx by
f f
F F <1.0
by bx
bx by
f f
F F =
+ =0.909< 1.0 OK!
.: the purlins is adequate and economical.
Design of Sagrods
TSAGRODS = WyL
TSAGRODS = (299.08) (10.75)
TSAGRODS = 2.01 KN
T = FT Ag
2.01 x 10^3 = 0.6 (248) [ dsagrods
2] x7
dsagrods = 10.97mm, use dsagrods = 12 mm
Design og Tierods
0H
F
TTierods = Tsagrods cos22.1˚
TTierods = N
2.17 x 10^3 = 0.6 (248) [ dtierods
2]
dTierods = 4.31 mm
use dTierods= 5mm
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13STRUCTURAL STEEL DESIGN
D. LOADINGS AND ANALYSIS OF TRUSS
Considering one purlin:
x =x
2
=(10.75)
2
= 3958.97
y =y
16=
(299.08)(10.75)
16=200.94
Types of Truss R x R y
Middle Full Truss
Side Full Truss
Half Truss
2R x = 2(3.95897)
= 7.91794 KN
2R y = 2(200.94)
= 401.88 KN
Ceiling Load, CL
Using suspended metal lath and gypsum plaster as ceiling (From NSCP Vol. 1,
Section 2-6, Table 204-2)
= (0.02+0.008)(14.75)(7.25)=22.243 or 22243 The Section to Be Used For Each Type of Truss Members
Type of Truss Members The Section & Its Properties
Top Chords and Bottom
Chords
L 100 x 100 x14
Orientation
Weight, w (kg/m) 44.28
Area, A (mm2) 5238
Radius of Gyration about X, r x
(mm) 29.95
Radius of Gyration about Y, r y
(mm) 29.95
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14STRUCTURAL STEEL DESIGN
Web Members
(Both Tension &
Compression)
L 100 x 100 x 14
Orientation
Weight, w (kg/m) 20.56
Area, A (mm2) 2.619
Radius of Gyration about X, r x
(mm) 29.95
Radius of Gyration about Y, r y
(mm) 29.95
Self Weight
3Rx= 11876.91 N
4Rx= 15835.88 N
14Ry= 2813.16 N
CL= 0.48 kpa (10.75 m)
CL= 5.16 KN/m = 5160 N/m 1154.18 N/m
UL= CL+SW
UL= 5160 + 1154.18
UL= 6314.18 N/m
SOLVING FOR THE FORCES OF THE MEMBERS OF THE TRUSS
3Rx
3Rx 3Rx
3Rx
4Rx
4Rx
4Rx
3@ 1.93m.
4Rx
Ɵ=22.1
2.18m.
14Ry14Ry
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15STRUCTURAL STEEL DESIGN
SAMPLE COMPUTATION OF FORCES IN CRITICAL MEMBERS
JOINT A
TABLE OF ANALSYSISTOP CHORD T/C FORCE (KN) LENGTH (m)
AB=JL C -420.172 1.934
BD=HJ C -420.172 1.934
DF=FH C -394.593 1.934
BOTTOM CHORD T/C FORCE 9KN) LENGTH (m)
AC=KL T 389.302 1.792
CE=IK T 365.602 1.792
EG=GI T 420.059 1.792
WEB MEMBER T/C FORCE (KN) LENGTH (m)
BC=JK C -7.934 0.728
CD=HK T 30.531 2.308
DE=HI T 77.651 1.455
EF=FI C -85.828 2.824
FG T 146.314 2.183
A AC
AB
22.1O
Ɵ
22.1O
171.67 KN 3R X
14R
AB sin22.1o
+ 171669.621 – 3R x cos22.1o
– 14R y sin22.1 = 0 AB = -420.172 kN (T)
AB = 420.172 kN (C)
AC + AB cos22.1o + 3R x sin22.1o – 14R y cos22.1o = 0
AC = 389.302 kN (T)
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16STRUCTURAL STEEL DESIGN
DESIGN OF TOP AND BOTTOM CHORD
E. DESIGN FOR TOP CHORD
L= 1.934 m.
r= 29.955
Test for buckling: Solving for FS:
64.555 < 200 OK FS= 1.842
Cc= 126.169 Fa= 117.026 Mpa
kL/r < Cc
Therefore: Intermediate column
Solving for Required Area:
A=
= 3590.412 MPa
A= 3590.412 mm2 look for the manual for most efficient section
A/2 = 1795.206 mm2 for single angle bar
Adopt the equal angle bar section L 100 x 100 x 14
F. DESIGN FOR BOTTOM CHORD
Pcritical=420.059 KN
L= 1.792 m
Ft= 148.8 MPa
Solving for Required Area
A=
= 2822.980 mm^2
200r
kL3
3
)(8
)/(
)(8
)/(3
3
5
Cc
r kl
Cc
r kl FS
Fy
E Cc
22
Fs
Fy
Cc
r kl Fa
2
2
)(2
)/(1
A
P Fa
Fy Ft 6.0
A
P Fa
P critical = -420.172 KN
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17STRUCTURAL STEEL DESIGN
A= 2822.98 mm2 look for the manual for most efficient section
A/2= 1411.49 mm2 for sngle angle bar
Adopt the Equal angle bar section L 100 x 100 x 14
G. DESIGN FOR WEB MEMBER
For compression:
Pcrit= -85.828 KN
L= 2.824m
test for buckling Solve for FS
94.267 < 152.390 OK! FS = 1.895
Cc = 126.169 Fa= 94.357 MPa
kL/r < Cc
Therefore: Intermediate Column
solving for Required Area:
A
A=
= 909.604 mm2
A = 909.604 mm2 look for the manual for most efficient section
A/2 = 454.802 mm2 for single angle bar
Adopt the Equal angle bar section L100 x 100 x 14
For Tension:
Pcritical=146.314 KN
L= 2.824m
Ft=148.8 MPa
390.152
r
kL3
3
)(8
)/(
)(8
)/(3
3
5
Cc
r kl
Cc
r kl FS
Fy
E Cc
22
Fs
Fy
Cc
r kl Fa
2
2
)(2
)/(1
A
P Fa
Fy Ft 6.0
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18STRUCTURAL STEEL DESIGN
P= 171669.621P= 171669.621
H=3m.
solving for Required Area:
A=
= 1550.639 mm2
A= 1550.639 mm2 look for the manual for most efficient section
A/2= 775.319 mm2 for single angle bar
Adopt the Equal angle bar section L100 x 100 x 14
DESIGN FOR SECOND FLOOR COLUMN
Consider the most critical column due to axial load alone and note that the height of the second
floor column H2 = 2.75 m = 2,750mm. Assume that 0kL
r
that is less that Cc making it an
intermediate column and that the column is hinged at both ends.
0 c kL C IntermediateColumn
r
Knowing 0kLr ,
5
3
FS
Then,
248
153
148.8
a
a
MPaF
F MPa
A
P Ft
H=3m.H=3m.
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19STRUCTURAL STEEL DESIGN
P= 171669.621
Fs= 1.764 Fa= 135.58 MPa
Assume 0.6 Fa
60% of Fa= 81.348 MPa
Solving for required Area
A =
A= 2110.319 mm2
look in the manual for most efficient section
Adopt wide flange section W 8 x 10
3.0 m
3
3
)(8
)/(
)(8
)/(3
3
5
Cc
r kl
Cc
r kl Fs
Fs
Fy
Cc
r kl Fa *
)(2
)/(1
2
2
A
P Fa %60
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20STRUCTURAL STEEL DESIGN
ORIENTATION W 8 x 10
Weight, W (kg/m) 15
Area, A (m2) 1910
S x ( x10
3
mm ) 128
S Y ( x103 mm ) 17
R x (mm) 81.79
R y (mm) 21.36
Reference: Fundamentals of Structural Steel Design by DIT Gillesania
Check for the Adequacy of the section
K = 1.000
solvingfor kl/r
kl/r < 200.000
33.623 < 200.000
Solving for sovling for Cc
= =33.623 < Cc E = 200000
.:intermediate column Cc= 126.169
Fs= 1.764
Fa= 135.58 MPa
= =89.879 MPa
Therefore adequate!
Fy
E
Cc
22
3
3
)(8
)/(
)(8
)/(3
3
5
Cc
r kl
Cc
r kl Fs
Fs
Fy
Cc
r kl Fa *)(2
)/(1 2
2
A
P fa
Fa fa
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21STRUCTURAL STEEL DESIGN
H. DESIGN OF BEAM & GIRDER
Beam Design
Dead Loads, DL
The following dead loads are to be considered:
Type of Dead Load Component of Dead Load Required Amount
Slab Weight Concrete 150 mm thick
Frame PartitionsWood or steel studs, 13 mm.
gypsum board each side0.38 kPa
Ceiling LoadGypsum board + mechanical duct
allowance1.2 + 0.2 = 1.4 kPa
FlooringConcrete fill finish + hardwood
flooring0.345 + 0.19 = 0.535 kPa
Frame wallsWindow, glass, frames and sash +
wood sheating0.38+ 0.855 = 1.235 kPa
Reference: National Structural Code of the Philippines (NSCP) Volume 1, Section 204 – DEAD LOADS
Live Loads, LL
According to NSCP Vol. 1 Section 205 Table 205-1, the minimum uniform live load for
commercial building (office) is 2.4 kPa.
Assume section of wide flange:Using W 12 x 230 whose properties are
W12 x 230
Orientation
Weight, w (kg/m) 342
Area, A (mm2) 43677
Section Modulus about X, S X (x103 mm3) 5260
Section Modulus about Y, S Y (x103 mm3) 1885
Radius of Gyration about X, r x (mm) 151.64
Radius of Gyration about Y, r y (mm) 84.07
Depth , d 382.27Thickness of web , tw 32.64
Base of flange, bf 327.53
Thickness of flange, tf 52.580
Moment of Inertia, Ix 1007
Moment of Inertia, Iy 309
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22STRUCTURAL STEEL DESIGN
w = total dead loads + live load + self weight of section
Dead loads = partitions + ceilings + floor finishes + floor framing
DL= 3.55 kPa
LL= 2.4 kPa
DL + LL= 5.95 kPa
ɣconc= 23.50
weight of slab= ɣconc * thickness
= 3525 N/m2
= 3525 KN/m2
DL+LL+weight of slab= 9.475 KN/m2
Tributary area= 57.781 m2
(DL+LL+wt. slab)(TA)/L = 50.928 KN/m
(self weight of section)(9.81)/1000 = 4.905 KN/m
total w= 55.833 KN/m
ANALYSIS OF BEAM
w = 55.833
L= 10.75 m.
R R
)2(4
)( LST TA
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23STRUCTURAL STEEL DESIGN
use the assume wide flange, W 12 X 230
fb= 163.68 Mpa
solving for Sx to determine the most economical section
Sx= 4790.671 x103 mm3
Note: look for the manual for the most efficient section
Adopt the wide flange section W 12 x 230
Check for the Adequacy:
Test for compactness:
3.115< 13.038
Compact!
11.712 < 128.85
Compact!
Fb= 163.68 MPa
fb = 149.075 MPa
149.075 < 163.8
.: the section is adequate
=
Ra = 291.772 KN
Fy fb 66.0
Sx
Mx fb
Fytf
bf 170
2
Fytw
d 1680
Fy Fb 66.0
Sx
Mx fb
Fb fb
L
LwL Ra
)2/(
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24STRUCTURAL STEEL DESIGN
ANALYSIS OF GIRDER
assume section of wide flange W 21 x 402
W 21 x 402
Orientation
Weight, w (kg/m) 598
Area, A (mm2) 76129
Section Modulus about X, S X (x103 mm3) 15355
Section Modulus about Y, S Y (x103 mm3) 3097
Radius of Gyration about X, r x (mm) 259.08
Radius of Gyration about Y, r y (mm) 83.06
Depth , d 660.91
Thickness of web , tw 43.94
Base of flange, bf 340.49
Thickness of flange, tf 79.5
Moment of Inertia, Ix 5078
Moment of Inertia, Iy 529
Use the same loadings
DL+LL+weight of slab = 9.475 Kn/m2
Tributary area = 57.781 m2
(DL+LL+wt. slab)(TA)/ST = 50.928 Kn/m
(self weight of section)(9.81)/1000 = 5.866 KN/m
total w= 56.795 KN/m
solving for Sx to determine the most economical section
Sx= 14593.648 x 10^3 mm3
Adopt the wide flange section W 14 x 500
Sx
Mx fb
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25STRUCTURAL STEEL DESIGN
Check for the Adequacy:
Test for compactness:
2.141<10.795 Compact!
15.041 < 106.680
Compact!
Fb= 163.680 MPa
fb = 155.564 MPa
155.564 < 163.680
.:the section is adequate
=
Ra = 597.042 KN
ANALYSIS FOR CONTINUOUS BEAMSelf Weight, SW
W 14 x 61
Orientation
Weight, w (kg/m) 90.83
Area, A (mm2) 11548
Section Modulus about X, S X (x103 mm3) 1510
Section Modulus about Y, S Y (x103 mm3) 351
Radius of Gyration about X, r x (mm) 151.88
Radius of Gyration about Y, r y (mm) 62.1
Depth , d 352.8
Thickness of web , tw 9.5
Base of flange, bf 253.9
Thickness of flange, tf 16.4
Moment of Inertia, Ix 266.388
Moment of Inertia, Iy 44.537
Fytwd
1680
Fy Fb 66.0
Fb fb
L
LwL Ra
)2/(
Sx
PLwST
fb
48
2
Fytf
bf 170
2
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26STRUCTURAL STEEL DESIGN
self weight of section = (89)(9.81)(1/1000) = 0.87 kN/m
Dead loads = 3.55 kPa
Live load = 2.4 KPa
eight of slab = Ɣ conc x thk e ee ee e wewewewe
Weight of slab = 23.5 x 150 mm = 3.525 KN/m2
W = ∑ + LL + weight of slab = 3.55 + 2.4+ 3.525 = 9.475 KN/m2
Tributary Area, T=0.25ST(4)
4+1.5(4)()=
0.25(10.75)(4)(10.75)
4+1.5(4)(10.75)= 93.91 km
( + + eight of slab)(T)
4=
9.475(93.91)
4(10.75)= 20.693 km
(+eight of slab)(T)
4=
3.55+3.525(93.91)
4(10.75)= 15.4515 km
Assume the section is compact.
Solving for the reactions
1 + 21+2 + c2 +61a 1
1+
62b2
2= 6(
h1
1+
h2
2)
Consider that there is no settlement in the reactions, Ma = Me = 0, and
61a
1
1 =
63a
3
3 63b
3
3 w3
4 =
15.4515(10.75)3
4 =4798.8375N-m2
62a 2
2=
62b2
2=
64b4
4 w3
4=
20.693(10.75)3
4=6426.7123N-m2
Where L1 = L2 = L3 = 10. 75m
L
L
L
L
15.4515 KN/m 15.4515 KN/m20.693 KN/m20.693 KN/m
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27STRUCTURAL STEEL DESIGN
Considering the first and second span
21+2 + c2 +61a 1
1+
62b2
2=
221.5 + c(10.75) + 4798.8375+6426.7123 = 0
43 10.75 = 11225.2498
Considering the second and third span
2+ 2c2+3 + 3 +62a 2
2+
63b3
3= 0
10.75 + 2c(21.5) + (10.75) + 4798.8375+6426.7123 = 0
10.75 43 10.75= 11225.2498
Considering the third and fourth span
c3+ 23+4 + 63a 3
3+ 64b 4
4= 0
c10.75 + 2(21.5) + 4798.8375+6426.7123 = 0
10.75 43 = 11225.2498
Solving for the internal moments simultaneously.
MB= -223.76kN-m
MC= -149.17 kN-m
MD= -223.76 kN-m
Checking for adequacy:
Solving the actual bending stress, f b
f b=max
Sx=
223.76 x 106
= 148.19
Solving the allowable bending stress, Fb
Fb = 0.66Fy
Fb = 0.66 (248) = 163.68 MPa
Since f b<Fb, the section is adequate as long girder.
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28STRUCTURAL STEEL DESIGN
15.4515 KN/m
20.693 KN/m
Solving for the reactions:
SEGMENT AB:
SEGMENT BC
SEGMENT CD:
SEGMENT DE:
A B
15.4515 KN/m
B C
20.693 KN/m
C D
D E
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29STRUCTURAL STEEL DESIGN
REACTIONS:
Ay=142.504 KN Dy=313.639 KN
By=313.639 KN Ey=73.166 KN
Cy=254.897 KN
V max=313.639 KN
I. DESIGN OF COLUMNS
FIRST FLOOR COLUMN
Firsts Floor Exterior Column Design
The height of the first floor column H1 = 3 m = 3000mm. Assume that kL/r= 0
that is less that Cc making it an intermediate column and that the column is hinged at both ends.
kL/r = 0 <Cc, intermediate column!
Therefore, FS = 5/3
Fa = 0.6(Fy) = 0.6(248) = 148.8 MPa
Assume Facolumn = 0.60Fa
Facolumn = 0.60 (148.8MPa)
Facolumn = 89.28 MPa
acolumn
=
89. 28 a =313.639(1000)
A = 3512.98 mm2
3.0 m
313.639 kN
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30STRUCTURAL STEEL DESIGN
Using W 8 x 21 whose properties are
W 8 x 21
Orientation
Weight, w (kg/m) 31
Area, A (mm2) 3974
Section Modulus about X, S X (x10
3
mm
3
) 298Section Modulus about Y, S Y (x103 mm3) 61
Radius of Gyration about X, r x (mm) 88.65
Radius of Gyration about Y, r y (mm) 32
Depth , d 210.31
Thickness of web , tw 6.35
Base of flange, bf 133.86
Thickness of flange, tf 10.16
Moment of Inertia, Ix 31
Moment of Inertia, Iy 4Reference: Association of Structural Engineers of the Philippines (ASEP) Steel Manual
Checking the adequacy of the section:
r=
1.0(3000)
32=93.75 c = 22
y= 22(200000)
248= 126.169
kL/r <Cc, therefore, intermediate column!
Solving allowable compressive stress, Fa
FS= 1.89 Fa=94.83 MPa
Solving for actual stress, fa
f a=
=
313.639(1000)
3974=78.92
Since f a<Fa, the section is adequate as second floor column.
Note:
For design purposes: for other columns including those on the second floor, use the same
section from the computation with respect to the critical load.
No internal column, all columns were on the sides (exterior) of the structure.
3
3
)(8
)/(
)(8
)/(3
3
5
Cc
r kl
Cc
r kl Fs
Fs
Fy
Cc
r kl Fa
2
2
)(2
)/(1
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31STRUCTURAL STEEL DESIGN
J. DESIGN OF BASE PLATE
Assume the base plate is square that rests on full area of concrete pedestal whose f’ c = 21
MPa (the most common).
plate=c
p
Where Pc = column load and Fp = allowable bending stress of concrete
Solving column load, Pc
c=313639 N+9.81m
s231
g
m (3.0 m)
=314551.33
Solving allowable bearing stress of concrete, Fp
p=0.35 (f c) =0.35(21 a)
p=7.35
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32STRUCTURAL STEEL DESIGN
Solving the required area of the base plate, Aplate
plate=c
p=
314551.33 N
7.35=42796.1 mm2
Knowing the base plate is square,
=N=
plate
=N=√ 42796.1
==206.872 mm Say use 210mm x 210mm
However, it is too small to support the section, thus, use 450mm x 450mm
Solving for thickness, t
t=2x f pf y
Where x is larger between m & n, and f p is the actual bearing stress
Solving the actual bearing stress, f p
f p=c
actual=
314551.33
(450)2
=1.55
Solving m & n
m=N - 0.95d
2=
450-0.95(210.31)
2=125.103 mm
n= - 0.8bf
2= 450-0.80(133.86)
2=171.456 mm
Then, x = 171.456 mm
Hence,
t=2x f pf y
=2(171.456mm) 1.55
248=27.11, say t=30 mm
Henceforth, use 450mm x 450mm x 30 mm A36 base plate
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33STRUCTURAL STEEL DESIGN
K. DESIGN OF CONNECTION
Truss Member Connection (Riveted Connection)
Considering the member that carries the highest value of internal force.
TYPE OF
MEMBER MEMBER
INTERNAL
FORCE
(N)
LENGTH
(m)
CROSS
SECTIONAL
AREA
(mm2)
ACTUAL
STRESS
(MPa)
Top chord AB 420172 1.934 5238 80.22
Using 10mm A36 gusset plate, 25
mm ø A325 fasteners (whose Fv=145MPa)
Analyzing shear V failure conditions.
v=max
v
v=max
v
N [4
(25mm)2] =
420.172(1000)
145
N =5.9 say 6
Analyzing bearing P failure conditions.
p=max
v
p=max
p
N 25(10)= 420.172(1000)
0.4(400)
N =10.5 say 11
Therefore, use 11 – 25mm ø A325 fasteners to resist both shear and bearing failure
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34STRUCTURAL STEEL DESIGN
Beam and Girder Connection (Riveted Connection)
Consider the shear force V of 313.639 kN (the maximum shear that occurs in the short
girders), use 28 mm ø A325 fasteners (whose Fv=145MPa). Assume that the connecting angle is
10mm.
Analyzing shear V failure conditions.
v= max
v
v=max
v
N [4
(28mm)2] =
313.639(1000)
145
N = 3.51 say 4
Analyzing bearing P failure conditions.
p= max
p
p=max
p
N (28)(10)= 313.639(1000)
0.4(400)
N = 7
Therefore, use 7 – 28mm ø A325 fasteners to resist both shear and bearing failure
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35STRUCTURAL STEEL DESIGN
Frame and Support Connection (Wielded Connection)
Using E60XX electrode whose Fu = 415MPa, we consider the shear force V of 313.639kN (the
maximum shear that occurs in the short girders). The wield thickness is assumed to be 8mm
Analyzing shear V failure conditions.
v= max
v
v=
maxv
.707(8mm)()=313639(1000)
0.3(415)
L =445.4 say 450 mm.
Therefore, use 450 mm long 8mm thick wield to resist shear failure.
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36STRUCTURAL STEEL DESIGN
L. APPENDICES
-ASEP Steel Handbook 2004
-NSCP (National Structural Code of the Philippines)
-Steel review book (Fundamentals of Structural Steel Design)
By: DIT Gillesania-STAAD PRO 2007
-AUTOCADD 2009
-Google Earth and Google Maps
-Progress Reports
M. ACKNOWLEDGMENTS
I’m gld tht I hd finished my projet on time even though it is quite rush in
the making, I thank all those who had help me on the times of working of the project
matter. First of all, I thank God for the guidance, wisdom and knowledge he blessedto me. Second, I thank our beloved professor in CE134P (steel and timber design),
Engr. Edgardo Cruz for all what he had taught to us regarding the subject matter
including his personal experience. Third, I thank my fellow steelmates because they
help me in times of problem regarding the project matter, they explain what is not
clear to me and they share their work, it help a lot, it acts like a reference. Fourth,
Manuel Trinidad, Jr. and his family, because they welcome us, they let us work our
project on their house, they fed us and even let us use their electricity, phone,
internet connection and other more, all that is necessary to use for the project,
special thanks to the father of Manuel for guiding us and teaching us to use STAAD, it
became handy for getting the forces on the truss, frame and beam. Fifth, I thank myfriend, Christiane Bernardo for helping me to create my floor plan using autocadd.
Our experience regarding the making of this project will be an unforgettable one due
to what we experience, it is the first time for me and some of my classmates to have
not just one day overnight of working having very less time for sleep and even almost
none but because of it we learned many lessons and we learned to budget time and
srifie our leisure time for work nd mny more. I’m relly very gld nd very
thankful that I have finished my project just in time.