A simply supported beam is to support a uniformly distributed load of 10 kips/ft. Select the lightest W shape. The span length is 32 ft. Deflection is not to exceed span/240. Neglect beam weight and use ASTM A992 steel. TABLE A.1 U.S. Customary units Designation A in? din. L in. bin. tin. ,in S, in , in Z,in ,in S, in. in. W40 x 277 81.5 39.7 0.830 158 1.58 21.900 1100 16.4 1250 1040 132 3.58 W36 x 302 89.0 373 0945 16.7 1.68 21,100 1130 15.4 1280 1300 156 3.82 R=V W36 x 194 57.0 36.5 0.765 12.1 1.26 12.100 664 146 767 375 619 2.56 W36 x 150 443 35.9 0.625 120 094 9040 504 143 581 270 45.1 247 M max (at center).. W33 x 118 34.7 329 0.50 11.5 0.74 5900 359 13.0 415 187 326 232 W30 x 108 31.7 298 0.545 10.5 0.76 4470 299 119 346 146 279 2.15 Shear W30 x 99 290 29.7 0.520 10.5 067 390 269 117 312 128 245 21 S 384E Amax (at center) M mas W27 x 114 33.6 273 0.570 10.1 093 4080 299 11.0 343 199 31.5 218 W27 x 94 276 269 0.490 10.0 0.745 3270 243 109 278 124 248 212 Moment W24 x 162 478 25.0 0.705 13.0 122 5170 414 10.4 468 443 684 3.05 W24 x 104 30.7 24.1 0.500 128 0.75 3100 258 10.1 289 259 40.7 291 TABLE G.1 U.S. Customary units W24 x 84 24.7 24.1 0.470 9.02 0.7 2370 196 9.79 224 944 209 195 Co Thermal Expansion Poisson's Mod. of Mod. of Tensile Yield Elasticity Rity Uimate Stength W24 x 76 224 23.9 0.440 8.99 068 2100 176 9.69 200 825 184 192 Stength Density pef Ratie Material 10 W21 x 83 244 21.4 0515 8.36 0.835 1830 171 8.67 196 81.4 195 183 Tens Comp Shear Sel ASTMASor 0 30000 12.000 36 58 65 025 W21 x 73 21.5 21.2 0.456 83 0.74 1600 151 8.64 172 70.6 170 181 S ger 0 low aloy ASTM 30000 12.000 50 65 025 W21 x 62 183 21.0 0.400 824 0615 1330 127 8.54 144 575 140 177 W21 x 50 14.7 20.8 0.380 6.53 0.535 984 94.5 8.18 110 249 7.64 13 W18 x 71 209 185 0.496 7.64 081 110 127 15 146 603 158 17 W18 x 60 176 182 0415 7.56 0.696 984 108 747 123 50.1 133 1.68 W18 x 50 14.7 180 0.355 15 0.57 800 889 738 101 40.1 10.7 1.65 W18 x 40 11.8 179 0315 6.02 0.525 612 684 121 784 191 6.35 127 W16 x 100 294 17.0 0.585 10.4 0985 1490 175 7.1 198 186 35.7 251 W16 x 45 133 16.1 0.345 7.04 0565 586 727 6.65 823 328 9.34 157 W16 x 36 10.6 159 0.296 699 043 448 565 6.51 64.0 245 7.0 1.52 W16 x 26 7.68 15.7 0250 55 0.345 301 384 6.26 44.2 9.59 3.49 12
A simply supported beam is to support a uniformly distributed load of 10 kips/ft. Select the lightest W shape. The span length is 32 ft. Deflection is not to exceed span/240. Neglect beam weight and use ASTM A992 steel. TABLE A.1 U.S. Customary units Designation A in? din. L in. bin. tin. ,in S, in , in Z,in ,in S, in. in. W40 x 277 81.5 39.7 0.830 158 1.58 21.900 1100 16.4 1250 1040 132 3.58 W36 x 302 89.0 373 0945 16.7 1.68 21,100 1130 15.4 1280 1300 156 3.82 R=V W36 x 194 57.0 36.5 0.765 12.1 1.26 12.100 664 146 767 375 619 2.56 W36 x 150 443 35.9 0.625 120 094 9040 504 143 581 270 45.1 247 M max (at center).. W33 x 118 34.7 329 0.50 11.5 0.74 5900 359 13.0 415 187 326 232 W30 x 108 31.7 298 0.545 10.5 0.76 4470 299 119 346 146 279 2.15 Shear W30 x 99 290 29.7 0.520 10.5 067 390 269 117 312 128 245 21 S 384E Amax (at center) M mas W27 x 114 33.6 273 0.570 10.1 093 4080 299 11.0 343 199 31.5 218 W27 x 94 276 269 0.490 10.0 0.745 3270 243 109 278 124 248 212 Moment W24 x 162 478 25.0 0.705 13.0 122 5170 414 10.4 468 443 684 3.05 W24 x 104 30.7 24.1 0.500 128 0.75 3100 258 10.1 289 259 40.7 291 TABLE G.1 U.S. Customary units W24 x 84 24.7 24.1 0.470 9.02 0.7 2370 196 9.79 224 944 209 195 Co Thermal Expansion Poisson's Mod. of Mod. of Tensile Yield Elasticity Rity Uimate Stength W24 x 76 224 23.9 0.440 8.99 068 2100 176 9.69 200 825 184 192 Stength Density pef Ratie Material 10 W21 x 83 244 21.4 0515 8.36 0.835 1830 171 8.67 196 81.4 195 183 Tens Comp Shear Sel ASTMASor 0 30000 12.000 36 58 65 025 W21 x 73 21.5 21.2 0.456 83 0.74 1600 151 8.64 172 70.6 170 181 S ger 0 low aloy ASTM 30000 12.000 50 65 025 W21 x 62 183 21.0 0.400 824 0615 1330 127 8.54 144 575 140 177 W21 x 50 14.7 20.8 0.380 6.53 0.535 984 94.5 8.18 110 249 7.64 13 W18 x 71 209 185 0.496 7.64 081 110 127 15 146 603 158 17 W18 x 60 176 182 0415 7.56 0.696 984 108 747 123 50.1 133 1.68 W18 x 50 14.7 180 0.355 15 0.57 800 889 738 101 40.1 10.7 1.65 W18 x 40 11.8 179 0315 6.02 0.525 612 684 121 784 191 6.35 127 W16 x 100 294 17.0 0.585 10.4 0985 1490 175 7.1 198 186 35.7 251 W16 x 45 133 16.1 0.345 7.04 0565 586 727 6.65 823 328 9.34 157 W16 x 36 10.6 159 0.296 699 043 448 565 6.51 64.0 245 7.0 1.52 W16 x 26 7.68 15.7 0250 55 0.345 301 384 6.26 44.2 9.59 3.49 12
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Related questions
Question
Transcribed Image Text:A simply supported beam is to support a uniformly distributed load of 10 kips/ft. Select the
lightest W shape. The span length is 32 ft. Deflection is not to exceed span/240. Neglect beam
weight and use ASTM A992 steel.
TABLE A.1 U.S. Customary units
Designation A in.? din.
ty in. by in.
tyin.
I, in. S, in. 1, in. z, in. 1, in. S, in. , in.
W40 x 277 81.5
39.7
0.830 15.8
1.58
21,900
1100
16.4
1250
1040
132
3.58
W36 x 302 89.0
37.3
0.945 16.7
1.68 21,100
1130
15.4
1280
1300
156
3.82
R= V
wl
2
W36 x 194 57.0
36.5
0.765 12.1
1.26
12,100
664
14.6
767
375
61.9
2.56
R
V,
W36 x 150 44.3
35.9
0,625 12.0
0,94
9040
504
14.3
581
270
45.1
2.47
M max (at center)
W33 x 118 34.7
32.9
0.550 11.5
0.74
5900
359
13.0
415
187
32.6
2.32
W30 x 108 31.7
29.8
0.545 10.5
0.76
4470
299
11.9
346
146
27.9
2.15
M,
X (1 – x)
Shear
W30 x 99
29.0
29.7
0.520 10.5
0.67
3990
269
11.7
312
128
24.5
2.1
5w4
384EI
Amax (at center).
M max
W27 x 114 33.6
27.3
0.570 10.1
0.93
4080
299
11.0
343
159
31.5
2.18
WX (13
A,
·... = AE3 – 2lx2 + x3)
W27 x 94
27.6
26.9
0.490 10.0
0.745
3270
243
10.9
278
124
24.8
2.12
Moment
W24 x 162 47.8
25.0
0.705 13.0
1.22
5170
414
10.4
468
443
68.4
3.05
W24 x 104 30.7
24.1
0.500 12.8
0.75
3100
258
10.1
289
259
40.7
2.91
TABLE G.1 U.S. Customary units
W24 x 84
24.7
24.1
0.470
9.02 0.77
2370
196
9.79
224
94.4
20.9
1.95
Coeff. of
Mod. of
Elasticity Rigidity
G
Mod. of
Tensile Yield
Strength
Fy
ksi
Thermal
Ultimate Strength
W24 x 76
22.4
23,9
0.440
8.99 0.68
2100
176
9.69
200
82.5
18.4
1.92
Expansion a
in Sin./F
x 10-6
Poisson's
ksi
Density
pcf
E
Ratio
Material
ksi
ksi
Tens.
Comp. Shear
W21 x 83
24.4
21.4
0.515
8.36 0.835
1830
171
8.67
196
81.4
19.5
1.83
Steel ASTM A36
A501
490
30,000
12,000
36
58
0.25
W21 x 73
21.5
21.2
0.455
8.3
0.74
1600
151
8,64
172
70.6
17.0
1.81
Steel (high-strength
low-alloy) ASTM
A992
490
30,000
12,000
50
65
6.5
0.25
W21 x 62
18.3
21.0
0.400
8.24 0.615
1330
127
8,54
144
57.5
14.0
1.77
W21 x 50
14.7
20.8
0.380
6.53 0.535
984
94.5
8.18
110
24,9
7.64 1.3
W18 x 71
20.9
18.5
0.495
7.64 0.81
1170
127
7.5
146
60.3
15.8
1.7
W18 x 60
17.6
18.2
0.415
7.56 0.695
984
108
7.47
123
50.1
13.3
1.68
W18 x 50
14.7
18.0
0.355
7.5
0.57
800
88.9
7.38
101
40.1
10.7
1.65
W18 x 40
11.8
17.9
0.315
6.02 0.525
612
68.4
7.21
78.4
19.1
6.35 1.27
W16 x 100 29.4
17.0
0.585
10.4
0.985
1490
175
7.1
198
186
35.7
2.51
W16 x 45
13.3
16.1
0.345
7.04 0.565
586
72.7
6.65
82.3
32.8
9.34 1.57
W16 x 36
10.6
15.9
0.295
6.99 0.43
448
56.5
6.51
64.0
24.5
7.0
1.52
W16 x 26
7.68 15.7
0.250 5.5
0.345
301
38.4
6.26
44.2
9.59
3.49 1.12
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