The beam shown will be constructed from a standard steel W-shape using an allowable bending stress of 22.9 ksi. Assume P = 34 kips, L1 = 4.2 ft, and L2 = 12.6 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 bear. (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 22.9 ksi. Assume P = 34 kips, L1 = 4.2 ft, and L2 = 12.6 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 bear. (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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Question
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The beam shown will be constructed from a standard steel W-shape using an allowable bending stress of 22.9 ksi. Assume P = 34 kips, L1
= 4.2 ft, and L2 = 12.6 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 bear.
(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
Flange
Web
thickness width
tw
by
in.
Designation
W24 x 94
24 x 76
W21 x 68
21 x 62
21 x 50
21 x 44
24 x 68
24 x 55
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
Answer:
(a) 5 min
=
(b) Ws
(c) W = 5
Arca 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
8.85
7.69
6.49
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
13.8
14.0
13.8
13.9
13.7
in.
0.515
0.440
0.415
0.395
0.430
0.400
0.430
0.380
0.305
0.275
14.0 0.415
13.9
0.370
0.340
0.380
0.350
lb
0.390
0.355
0.315
0.300
0.285
0.270
0.255
0.230
in.³
x 5
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
4
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
1₂
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
92.2
81.0
64.7
47.2
''s 1₂
in.4
103
in.
9.87
9.69
9.55
9.11 29.1
98.3
7.41
44.9
88.9 7.38 40.1
68.4
7.21
57.6
7.04
6.72
6.68
6.63
6.41
8.60 64.7 15.7
8.54
57.5
14.0
8.18
8.06
6.01
5.89
109
77.8
70.2
48.6
42.0
5.73
35.3 5.65
29.0
5.54
24.0
82.5
18.4
70.4 15.7
8.30
5.85
5.83
24.9
20.7
19.1
15.3
43.1
37.2
28.9
12.4
121
S,
in.³
57.7
51.4
23.3
19.6
8.91
7.00
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
"₂
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
Transcribed Image Text:L₁
Designation
W24 x 94
24 x 76
24 x 68
24 x 55
Wide-Flange Sections or W Shapes-U.S. Customary Units
Web
thickness width
W21 x 68
21 x 62
21 x 50
21 x 44
BO
W18 x 55
18 x 50
18 x 40
18 x 35
W16 x 57
Arca Depth
A
d
in.²
in.
27.7 24.3
22.4
23.9
20.1
23.7
16.2
23.6
20.0
18.3
14.7
13.0
16.2
14.7
11.8
10.3
16.8
21.1
21.0
20.8
20.7
L2
18.1
18.0
17.9
17.7
16.4
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
Flange Flange
thickness
4
in.
0.875
0.680
0.585
0.505
0.685
0.615
in.
9.07
8.99
8.97
7.01
8.27
8.24
L₁
6.53
6.50
7.53
7.50
6.02
6.00
7.12
0.535
0.450
0.630
0.570
0.525
0.425
0.715
D
X
Ix
in.4
2700
2100
1830
1350
1480
1330
984
843
890
800
612
510
758
Sx
222
176
154
114
140
127
''s
in.
9.87 109
9.69 82.5
9.55
70.4
9.11
29.1
8.60
8.54
94.5 8.18
81.6
8.06
ly
in,4
98.3 7.41
88.9
7.38
68.4
7.21
57.6
7.04
92.2
6.72
S₂
in.³
40.1
24.0
18.4
15.7
64.7 15.7
57.5
14.0
24.9
20.7
19.1
15.3
43.1
8.30
44.9 11.9
10.7
7.64
6.37
6.35
5.12
12.1
X
-14
"₂
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
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