Wide-Flange Sections or W Shapes-U.S. Customary UnitsDesignationW24 x 9424 x 7624 × 6824 x 55W21 x 6821 x 6221 x 5021 x 44W18 x 5518 x 5018 x 4018 x 35W16 x 5716 x 5016 x 4016 x 31W14 x 6814 x 5314 x 4814 x 3414 x 3014 x 2614 x 22Area DepthAdin.²27.722.420.116.220.018.314.713.016.214.711.810.316.814.711.89.1320.015.614.110.0in.24.323.923.723.621.121.020.820.718.118.017.917.716.416.316.015.914.013.913.814.08.8513.87.69 13.96.49 13.7Webthicknesstwin.0.5150.4400.4150.3950.4300.4000.3800.3500.3900.3550.3150.3000.4300.3800.3050.2750.4150.3700.3400.2850.2700.2550.230Flange Flangewidththicknessbftfin.9.078.998.977.018.278.246.536.507.537.506.026.007.127.077.005.5310.08.068.036.756.735.035.00in.0.8750.6800.5850.5050.6850.6150.5350.4500.6300.5700.5250.4250.7150.6300.5050.4400.7200.6600.5950.4550.3850.4200.335Ixin.4270021001830135014801330984843890800612510758659518375722541484340291245199Sxin.³22217615411414012794.581.698.388.968.457.692.281.064.747.210377.870.248.642.035.329.0in.9.879.699.559.118.608.548.188.067.417.387.217.046.726.686.636.41Iyin.410982.570.429.164.757.524.920.744.940.119.115.343.137.228.912.46.01 1215.895.855.835.735.655.5457.751.423.319.68.917.00Syin.324.018.415.78.3015.714.07.646.3711.910.76.355.1212.110.58.254.4924.214.312.86.915.823.552.80in.1.981.921.871.341.801.771.301.261.671.651.271.221.601.591.571.172.461.921.911.531.491.081.04 The beam shown will be constructed from astandard steel W-shape using an allowablebending stress of 106.5 ksi. Assume P = 61 kips, L₁= 8.0 ft, and L₂ = 24.0 ft.(a) Determine the minimum section modulusrequired for this beam.(b) From the table below, select the lightest Wshape that can be used for this beam.(c) What is the total weight of the steel beam itself(i.e., not including the loads that are carried by thebeam)?AL₁BL2Wide-Flange Sections or W Shanes US Customary UnitsPL₁bfX

Given-A standard steel W-shaped beam having an allowable bending stress of . The beam is simply…

(a) Determine the minimum section modulus required for this beam. (b) From the table below, select the lightest W shape that can be used for this beam. (c) What is the total weight of the steel beam itself (i.e., not including the loads that are carried by the

(a) Determine the minimum section modulus required for this beam. (b) From the table below, select the lightest W shape that can be used for this beam. (c) What is the total weight of the steel beam itself (i.e., not including the loads that are carried by the

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

Wide-Flange Sections or W Shapes-U.S. Customary Units
Designation
W24 x 94
24 x 76
24 × 68
24 x 55
W21 x 68
21 x 62
21 x 50
21 x 44
W18 x 55
18 x 50
18 x 40
18 x 35
W16 x 57
16 x 50
16 x 40
16 x 31
W14 x 68
14 x 53
14 x 48
14 x 34
14 x 30
14 x 26
14 x 22
Area Depth
A
d
in.²
27.7
22.4
20.1
16.2
20.0
18.3
14.7
13.0
16.2
14.7
11.8
10.3
16.8
14.7
11.8
9.13
20.0
15.6
14.1
10.0
in.
24.3
23.9
23.7
23.6
21.1
21.0
20.8
20.7
18.1
18.0
17.9
17.7
16.4
16.3
16.0
15.9
14.0
13.9
13.8
14.0
8.85
13.8
7.69 13.9
6.49 13.7
Web
thickness
tw
in.
0.515
0.440
0.415
0.395
0.430
0.400
0.380
0.350
0.390
0.355
0.315
0.300
0.430
0.380
0.305
0.275
0.415
0.370
0.340
0.285
0.270
0.255
0.230
Flange Flange
width
thickness
bf
tf
in.
9.07
8.99
8.97
7.01
8.27
8.24
6.53
6.50
7.53
7.50
6.02
6.00
7.12
7.07
7.00
5.53
10.0
8.06
8.03
6.75
6.73
5.03
5.00
in.
0.875
0.680
0.585
0.505
0.685
0.615
0.535
0.450
0.630
0.570
0.525
0.425
0.715
0.630
0.505
0.440
0.720
0.660
0.595
0.455
0.385
0.420
0.335
Ix
in.4
2700
2100
1830
1350
1480
1330
984
843
890
800
612
510
758
659
518
375
722
541
484
340
291
245
199
Sx
in.³
222
176
154
114
140
127
94.5
81.6
98.3
88.9
68.4
57.6
92.2
81.0
64.7
47.2
103
77.8
70.2
48.6
42.0
35.3
29.0
in.
9.87
9.69
9.55
9.11
8.60
8.54
8.18
8.06
7.41
7.38
7.21
7.04
6.72
6.68
6.63
6.41
Iy
in.4
109
82.5
70.4
29.1
64.7
57.5
24.9
20.7
44.9
40.1
19.1
15.3
43.1
37.2
28.9
12.4
6.01 121
5.89
5.85
5.83
5.73
5.65
5.54
57.7
51.4
23.3
19.6
8.91
7.00
Sy
in.3
24.0
18.4
15.7
8.30
15.7
14.0
7.64
6.37
11.9
10.7
6.35
5.12
12.1
10.5
8.25
4.49
24.2
14.3
12.8
6.91
5.82
3.55
2.80
in.
1.98
1.92
1.87
1.34
1.80
1.77
1.30
1.26
1.67
1.65
1.27
1.22
1.60
1.59
1.57
1.17
2.46
1.92
1.91
1.53
1.49
1.08
1.04

The beam shown will be constructed from a
standard steel W-shape using an allowable
bending stress of 106.5 ksi. Assume P = 61 kips, L₁
= 8.0 ft, and L₂ = 24.0 ft.
(a) Determine the minimum section modulus
required for this beam.
(b) From the table below, select the lightest W
shape that can be used for this beam.
(c) What is the total weight of the steel beam itself
(i.e., not including the loads that are carried by the
beam)?
A
L₁
B
L2
Wide-Flange Sections or W Shanes US Customary Units
P
L₁
bf
X

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