The beam shown will be constructed from a standard steel W-shape using an allowable bending stress of 77.2 ksi. Assume P = 68 kips, L₁ = 5.2 ft, and L2 = 15.6 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)? y L₁ B L2 D X ++. Y tw
The beam shown will be constructed from a standard steel W-shape using an allowable bending stress of 77.2 ksi. Assume P = 68 kips, L₁ = 5.2 ft, and L2 = 15.6 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)? y L₁ B L2 D X ++. Y tw
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Question
E4
Transcribed Image Text:The beam shown will be constructed from a standard steel W-shape using an allowable bending stress of 77.2 ksi. Assume P = 68 kips,
L₁ = 5.2 ft, and L₂ = 15.6 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)?
TO
L₁
B
L2
L₁
Wide-Flange Sections or W Shapes-U.S. Customary Units
D
X
X
Y
X
tw
Transcribed Image Text: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 × 68
14 x 53
14 x 48
14 x 34
14 x 30
14 x 26
14 x 22
Answer:
(a) Smin =
(b) W
(c) W =
i
i
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
20.0
15.6
14.1
10.0
in.
24.3
23.9
23.7
23.6
8.85
7.69
6.49
21.1
21.0
20.8
20.7
16.8
14.7
11.8
16.0
9.13 15.9
18.1
18.0
17.9
17.7
16.4
16.3
14.0
13.9
13.8
14.0
13.8
13.9
13.7
Web
thickness
tw
in.
0.515
0.440
X i
lb
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
in.³
0.415
0.370
0.340
0.285
0.270
0.255
0.230
Flange
width
bf
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
Flange
thickness
tf
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
I₂
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
rx
in.
9.87 109
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
6.01
5.89
5.85
5.83
5.73
5.65
5.54
82.5
70.4
29.1
64.7
57.5
24.9
20.7
43.1
37.2
28.9
12.4
121
57.7
51.4
23.3
19.6
Sy
in.³
24.0
18.4
15.7
44.9 11.9
40.1
10.7
19.1
15.3
8.91
7.00
8.30
15.7
14.0
7.64
6.37
6.35
5.12
12.1
10.5
in.
1.98
1.92
1.87
1.34
24.2
14.3
12.8
6.91
5.82
3.55
2.80
1.80
1.77
1.30
1.26
1.60
1.59
8.25
1.57
4.49 1.17
1.67
1.65
1.27
1.22
2.46
1.92
1.91
1.53
1.49
1.08
1.04
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