A W310x97 steel wide-flange section supports a uniformly distributed line load on a simplespan of 4 m. Assume A501 steel. Calculate the allowable load (kN/m). Neglect the weight of theTABLE A.2 SI unitsbeam.Designationmm x kg/mZ, x 103mm3AS,10° mm 10° mm3S,ly10° mm 10 mm mm-w KN/mmmmmmmmmmmmmW1000 x 222 28,300 97016.0298 21.140808410381980095.363658.2W920 x 39049.800 937 21.30419 36.6745015,90038918,000454216095,5W840 x 32942,100 861 19.7400 32.5537012,40035814,000350174091.24mW610 x 15319,500 622 14.O229 24.912504010 254459049.543450.5TABLE G.2 Sl unitsW610 x 11314.500 607 11.2229 17.38742880 246328034.330248.8W530 × 13817,600 549 14.7213 23.68623150221362038.736246.7Mod. ofMod. ofCoeff. ofThermalElasticityRigidityGUltimate StrengthDensitykg/mx 10Tensile YieldStrengthF, MPaExpansion am/m/C"x 10-6Poisson'sW530 x 10112,900 536 10.9210 17.46162290218262026.925745.7MPaMPaMPa« 10RatioMaterialx 10Tens.Comp.ShearW530 x 729100 5238.89206 10.93991520209175016.115642.2Steel ASTM A367.852078325040011.70.25or AS01W460 x 607610 455 8.00152 13.3255112018312807.9510432.3Steel (high-strengthlow-alloy) ASTMA9927.852078334545011.70.25W410 x 10012,600 414 10.0260 16.93971920177213049.538062.5Steel AISI 10207.8520779.321038011.70.25hot-rolledW360 x 11014,100 361 11.4257 19.93311840153206055.843663Steel AISI 1040hot-rolled7.8520779.329052011.70.25W310 x 202 25,700 340 20.1314 31.85163050 1423510166105080.3Stainless steel7.852008028058041011.70.25(annealed)W310 x 10713,600 312 10.9305 17.02481600 135177081.253177.2Cast iron (gray)7.211034114055022010.60.26W310 x 9712,300 307 9.91305 15,42221440134159072.447776.7Aluminum alloy1-T62.64702824026019023.60.336061.W310 x 38.74940 310 5.841659.6584.95471316107.287.5 38.4Magnesium alloy1.794451721028014026.10.34Titanium alloy4,40114459009706909.7W250 x 11514,600 269 13.5260 22.11891410114160064.149366Brass (rolled)8.56974134041034018.70.34Bronze (cast)18.2W250 x 739290 254 8.64254 14.211389511099038.930664.58.5683341702303900.35Copper (harddrawn)8.811034128038026016.70.35W200 x 597550 2109.14206 14.260.858289.765220.420051.8Concrete2.4021.5219.90.20W150 x 243060 160 6.60102 10.313.4167661921.8436.1 24.6Concrete2.4024.9289.90.20*Flange and web thicknesses may vary due to mill roling practices.

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Answered: A W310x97 steel wide-flange section…

A W310x97 steel wide-flange section supports a uniformly distributed line load on a simple span of 4 m. Assume AS01 steel. Calculate the allowable load (kN/m). Neglect the weight of the heam

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Concept explainers

Design criteria for structural loading

The different loads such as loads due to self-weight (dead load) and external loads such as live load, wind loads, seismic load, snow load, and other loads and load combinations that influence the design of a building are called structural loading. The nature of the applied load differs from changes in the location, design, and type of materials used. The design criteria require that structures must be designed and constructed to be able to withstand all load types that are expected to act upon the structure and render its usage for the designated purpose. The structural members such as beams, slabs, columns, and foundations help the structure to withstand the applied load. There are different institutes such as ASCE and ACI that provide building design codes to assure minimum safety requirements and quality of the structures.

Question

A W310x97 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
TABLE A.2 SI units
beam.
Designation
mm x kg/m
Z, x 103
mm3
A
S,
10° mm 10° mm3
S,
ly
10° mm 10 mm mm
-w KN/m
mm
mm
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
4m
W610 x 153
19,500 622 14.O
229 24.9
1250
4010 254
4590
49.5
434
50.5
TABLE G.2 Sl units
W610 x 113
14.500 607 11.2
229 17.3
874
2880 246
3280
34.3
302
48.8
W530 × 138
17,600 549 14.7
213 23.6
862
3150
221
3620
38.7
362
46.7
Mod. of
Mod. of
Coeff. of
Thermal
Elasticity
Rigidity
G
Ultimate Strength
Density
kg/m
x 10
Tensile Yield
Strength
F, MPa
Expansion a
m/m/C"
x 10-6
Poisson's
W530 x 101
12,900 536 10.9
210 17.4
616
2290
218
2620
26.9
257
45.7
MPa
MPa
MPa
« 10
Ratio
Material
x 10
Tens.
Comp.
Shear
W530 x 72
9100 523
8.89
206 10.9
399
1520
209
1750
16.1
156
42.2
Steel ASTM A36
7.85
207
83
250
400
11.7
0.25
or AS01
W460 x 60
7610 455 8.00
152 13.3
255
1120
183
1280
7.95
104
32.3
Steel (high-strength
low-alloy) ASTM
A992
7.85
207
83
345
450
11.7
0.25
W410 x 100
12,600 414 10.0
260 16.9
397
1920
177
2130
49.5
380
62.5
Steel AISI 1020
7.85
207
79.3
210
380
11.7
0.25
hot-rolled
W360 x 110
14,100 361 11.4
257 19.9
331
1840
153
2060
55.8
436
63
Steel AISI 1040
hot-rolled
7.85
207
79.3
290
520
11.7
0.25
W310 x 202 25,700 340 20.1
314 31.8
516
3050 142
3510
166
1050
80.3
Stainless steel
7.85
200
80
280
580
410
11.7
0.25
(annealed)
W310 x 107
13,600 312 10.9
305 17.0
248
1600 135
1770
81.2
531
77.2
Cast iron (gray)
7.21
103
41
140
550
220
10.6
0.26
W310 x 97
12,300 307 9.91
305 15,4
222
1440
134
1590
72.4
477
76.7
Aluminum alloy
1-T6
2.64
70
28
240
260
190
23.6
0.33
6061.
W310 x 38.7
4940 310 5.84
165
9.65
84.9
547
131
610
7.2
87.5 38.4
Magnesium alloy
1.794
45
17
210
280
140
26.1
0.34
Titanium alloy
4,40
114
45
900
970
690
9.7
W250 x 115
14,600 269 13.5
260 22.1
189
1410
114
1600
64.1
493
66
Brass (rolled)
8.56
97
41
340
410
340
18.7
0.34
Bronze (cast)
18.2
W250 x 73
9290 254 8.64
254 14.2
113
895
110
990
38.9
306
64.5
8.56
83
34
170
230
390
0.35
Copper (hard
drawn)
8.81
103
41
280
380
260
16.7
0.35
W200 x 59
7550 210
9.14
206 14.2
60.8
582
89.7
652
20.4
200
51.8
Concrete
2.40
21.5
21
9.9
0.20
W150 x 24
3060 160 6.60
102 10.3
13.4
167
66
192
1.84
36.1 24.6
Concrete
2.40
24.9
28
9.9
0.20
*Flange and web thicknesses may vary due to mill roling practices.

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