A W310×97 steel wide-flange section supports a uniformly distributed line load on a simple span of 4 m. Assume A501 steel. Calculate the allowable load (kN/m). Neglect the weight of the beam.
A W310×97 steel wide-flange section supports a uniformly distributed line load on a simple span of 4 m. Assume A501 steel. Calculate the allowable load (kN/m). Neglect the weight of the beam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Question
A W310×97 steel wide-flange section supports a uniformly distributed line load on a simple span of 4 m. Assume A501 steel. Calculate the allowable load (kN/m). Neglect the weight of the
beam.
use Fv=0.4Fy
![w KN/m
B
4m
TABLE G.2 Sl units
Mod. of
Mod. of
Coeff. of
Thermal
Expansion a
m/m/C
x 10-4
Elasticity
E
Rigidity
G
Ultimate Strength
Density
kg/m
x 10
Tensile Yield
Poisson's
MPa
MPa
MPa
Strength
F, MPa
Ratio
Material
x 10
x 10
Tens.
Comp.
Shear
Steel ASTM A36
or A501
7.85
207
83
250
400
11.7
0.25
TABLE A.2 SI units
Designation
mm x kg/m
Z, x 103
mm
A
d
ty
mm
S,
mm 10° mm 10³ mm?
ly
10° mm 10' mm mm
ly
mm?
mm
mm
mm
W1000 x 222 28,300 970 16.0
298 21.1
4080
8410 381
9800
95.3
636
58.2
W920 x 390 49,800 937 21.30
419 36.6
7450
15,900 389
18,000
454
2160
95.5
W840 x 329
42,100 861
19.7
400 32.5
5370
12,400 358
14,000
350
1740
91.2
W610 × 153
19.500 622 14.0
229 24.9
1250
4010 254
4590
49.5
434
50.5
W610 x 113
14.500 607 11.2
229 17.3
874
2880 246
3280
34.3
302
48.8
W530 x 138
17,600 549 14.7
213 23,6
862
3150 221
3620
38.7
362
46.7
W530 x 101
12,900 536 10.9
210 17.4
616
2290 218
2620
26.9
257
45.7
W530 x 72
9100 523
8.89
206 10.9
399
1520 209
1750
16.1
156
42.2
W460 x 60
7610 455
8.00
152 13.3
255
1120
183
1280
7.95
104
32.3
W410 x 100
12,600 414 10.0
260 16.9
397
1920
177
2130
49.5
380
62.5
W360 x 110
14,100 361
11.4
257 19.9
331
1840 153
2060
55.8
436
63
W310 x 202
25,700 340 20.1
314 31.8
516
3050
142
3510
166
1050
80.3
W310 × 107
13,600 312 10.9
305 17.0
248
1600
135
1770
81.2
531
77.2
W310 × 97
12,300 307
9.91
305 15.4
222
1440 134
1590
72.4
477
76.7
W310 x 38.7
4940 310
5.84
165
9.65
84.9
547
131
610
7.2
87.5
38.4
W250 x 115
14,600 269 13.5
260 22.1
189
1410 114
1600
64.1
493
66
W250 x 73
9290 254
8.64
254 14.2
113
895 110
990
38.9
306
64.5
W200 x 59
7550 210 9.14
206 14.2
60.8
582
89.7
652
20.4
200
51.8](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6d6f9c7e-e800-4d6f-a41e-789b2d90e6c0%2F8fe0b702-ea93-4c5a-971c-a5e3ca3fb3fb%2F4okzgqn_processed.png&w=3840&q=75)
Transcribed Image Text:w KN/m
B
4m
TABLE G.2 Sl units
Mod. of
Mod. of
Coeff. of
Thermal
Expansion a
m/m/C
x 10-4
Elasticity
E
Rigidity
G
Ultimate Strength
Density
kg/m
x 10
Tensile Yield
Poisson's
MPa
MPa
MPa
Strength
F, MPa
Ratio
Material
x 10
x 10
Tens.
Comp.
Shear
Steel ASTM A36
or A501
7.85
207
83
250
400
11.7
0.25
TABLE A.2 SI units
Designation
mm x kg/m
Z, x 103
mm
A
d
ty
mm
S,
mm 10° mm 10³ mm?
ly
10° mm 10' mm mm
ly
mm?
mm
mm
mm
W1000 x 222 28,300 970 16.0
298 21.1
4080
8410 381
9800
95.3
636
58.2
W920 x 390 49,800 937 21.30
419 36.6
7450
15,900 389
18,000
454
2160
95.5
W840 x 329
42,100 861
19.7
400 32.5
5370
12,400 358
14,000
350
1740
91.2
W610 × 153
19.500 622 14.0
229 24.9
1250
4010 254
4590
49.5
434
50.5
W610 x 113
14.500 607 11.2
229 17.3
874
2880 246
3280
34.3
302
48.8
W530 x 138
17,600 549 14.7
213 23,6
862
3150 221
3620
38.7
362
46.7
W530 x 101
12,900 536 10.9
210 17.4
616
2290 218
2620
26.9
257
45.7
W530 x 72
9100 523
8.89
206 10.9
399
1520 209
1750
16.1
156
42.2
W460 x 60
7610 455
8.00
152 13.3
255
1120
183
1280
7.95
104
32.3
W410 x 100
12,600 414 10.0
260 16.9
397
1920
177
2130
49.5
380
62.5
W360 x 110
14,100 361
11.4
257 19.9
331
1840 153
2060
55.8
436
63
W310 x 202
25,700 340 20.1
314 31.8
516
3050
142
3510
166
1050
80.3
W310 × 107
13,600 312 10.9
305 17.0
248
1600
135
1770
81.2
531
77.2
W310 × 97
12,300 307
9.91
305 15.4
222
1440 134
1590
72.4
477
76.7
W310 x 38.7
4940 310
5.84
165
9.65
84.9
547
131
610
7.2
87.5
38.4
W250 x 115
14,600 269 13.5
260 22.1
189
1410 114
1600
64.1
493
66
W250 x 73
9290 254
8.64
254 14.2
113
895 110
990
38.9
306
64.5
W200 x 59
7550 210 9.14
206 14.2
60.8
582
89.7
652
20.4
200
51.8
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