The beam shown will be constructed from a standard steel W-shape using an allowable bending stress of 7.5 ksi. Assume P = 34 kips, L1 = 2.2 ft, and L2 = 6.6 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)?
The beam shown will be constructed from a standard steel W-shape using an allowable bending stress of 7.5 ksi. Assume P = 34 kips, L1 = 2.2 ft, and L2 = 6.6 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)?
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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The beam shown will be constructed from a standard steel W-shape using an allowable bending stress of 7.5 ksi. Assume P = 34 kips, L1 = 2.2 ft, and L2 = 6.6 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)?
Transcribed Image Text:Wide-Flange Sections or W Shapes-U.S. Customary Units
Web
Flange
Flange
width
Depth thickness
by
Area
thickness
Designation
I,
S,
A
d
in.?
in.
in.
in.
in.
in.+
in.3
in.
in.+
in.
in.
W24 x 94
27.7
24.3
0.515
9.07
0.875
2700
222
9.87
109
24.0
1.98
24 x 76
22.4
23.9
0.440
8.99
0.680
2100
176
9.69
82.5
18.4
1.92
24 x 68
20.1
23.7
0.415
8.97
0.585
1830
154
9.55
70.4
15.7
1.87
24 x 55
16.2
23.6
0.395
7.01
0.505
1350
114
9.11
29.1
8.30
1.34
W21 x 68
20.0
21.1
0.430
8.27
0.685
1480
140
8.60
64.7
15.7
1.80
21 x 62
18.3
21.0
0.400
8.24
0.615
1330
127
8.54
57.5
14.0
1.77
21 x 50
14.7
20.8
0.380
6.53
0.535
984
94.5
8.18
24.9
7.64
1.30
21 x 44
13.0
20.7
0.350
6.50
0.450
843
81.6
8.06
20.7
6.37
1.26
W18 × 55
16.2
18.1
0.390
7.53
0.630
890
98.3
7.41
44.9
11.9
1.67
18 x 50
14.7
18.0
0.355
7.50
0.570
800
88.9
7.38
40.1
10.7
1.65
18 x 40
11.8
17.9
0.315
6.02
0.525
612
68.4
7.21
19.1
6.35
1.27
18 x 35
10.3
17.7
0.300
6.00
0.425
510
57.6
7.04
15.3
5.12
1.22
W16 × 57
16.8
16.4
0.430
7.12
0.715
758
92.2
6.72
43.1
12.1
1.60
16 x 50
14.7
16.3
0.380
7.07
0.630
659
81.0
6.68
37.2
10.5
1.59
16 x 40
11.8
16.0
0.305
7.00
0.505
518
64.7
6.63
28.9
8.25
1.57
16 х 31
9.13
15.9
0.275
5.53
0.440
375
47.2
6.41
12.4
4.49
1.17
W14 x 68
20.0
14.0
0.415
10.0
0.720
722
103
6.01
121
24.2
2.46
14 x 53
15.6
13.9
0.370
8.06
0.660
541
77.8
5.89
57.7
14.3
1.92
14 x 48
14.1
13.8
0.340
8.03
0.595
484
70.2
5.85
51.4
12.8
1.91
14 x 34
10.0
14.0
0.285
6.75
0.455
340
48.6
5.83
23.3
6.91
1.53
14 x 30
8.85
13.8
0.270
6.73
0.385
291
42.0
5.73
19.6
5.82
1.49
14 x 26
7.69
13.9
0.255
5.03
0.420
245
35.3
5.65
8.91
3.55
1.08
14 x 22
6.49
13.7
0.230
5.00
0.335
199
29.0
5.54
7.00
2.80
1.04
Answer:
(a) Smin = i
in 3
(b) W i
(c) W = i
Ib
Transcribed Image Text:y
A
B
D
L1
L2
d
X-
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