W24 x 94 24 x 76 24 x 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 X W16 x 57 16 x 50 16 x 40 16 x 31 W14 x 68. 14 x 53 14 x 48 14 x 34 Answer: 14 x 30 14 x 26 14 x 22 (a) Smin in.³ (b) W i Hi (c) W = i 27.7 22.4 20.1 16.2 20.0 18.3 14.7 13.0 = 16.2 14.7 11.8 10.3 24.3 23.9 23.7 23.6 21.1 21.0 20.0 15.6 14.1 10.0 20.8 20.7 18.1 18.0 17.9 17.7 16.8 16.4 14.7 16.3 11.8 16.0 9.13 15.9 14.0 13.9 13.8 14.0 8.85 13.8 7.69 13.9 6.49 13.7 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 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 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 2700 2100 1830 1350 1480 1330 984 843 890 800 612 510 758 659 518 375 722 541 484 340 291 245 199 222 176 154 114 140 127 94.5 81.6 98.3 88.9 68.4 57.6 103 77.8 70.2 48.6 9.87 9.69 9.55 9.11 42.0 35.3 29.0 8.60 8.54 92.2 6.72 81.0 6.68 64.7 6.63 47.2 6.41 8.18 8.06 7.41 7.38 7.21 7.04 6.01 5.89 5.85 5.83 5.73 5.65 5.54 109 24.0 82.5 18.4 70.4 15.7 29.1 64.7 57.5 24.9 20.7 44.9 40.1 19.1 15.3 43.1 37.2 28.9 12.4 121 57.7 51.4 23.3 19.6 8.91 7.00 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 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
W24 x 94 24 x 76 24 x 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 X W16 x 57 16 x 50 16 x 40 16 x 31 W14 x 68. 14 x 53 14 x 48 14 x 34 Answer: 14 x 30 14 x 26 14 x 22 (a) Smin in.³ (b) W i Hi (c) W = i 27.7 22.4 20.1 16.2 20.0 18.3 14.7 13.0 = 16.2 14.7 11.8 10.3 24.3 23.9 23.7 23.6 21.1 21.0 20.0 15.6 14.1 10.0 20.8 20.7 18.1 18.0 17.9 17.7 16.8 16.4 14.7 16.3 11.8 16.0 9.13 15.9 14.0 13.9 13.8 14.0 8.85 13.8 7.69 13.9 6.49 13.7 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 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 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 2700 2100 1830 1350 1480 1330 984 843 890 800 612 510 758 659 518 375 722 541 484 340 291 245 199 222 176 154 114 140 127 94.5 81.6 98.3 88.9 68.4 57.6 103 77.8 70.2 48.6 9.87 9.69 9.55 9.11 42.0 35.3 29.0 8.60 8.54 92.2 6.72 81.0 6.68 64.7 6.63 47.2 6.41 8.18 8.06 7.41 7.38 7.21 7.04 6.01 5.89 5.85 5.83 5.73 5.65 5.54 109 24.0 82.5 18.4 70.4 15.7 29.1 64.7 57.5 24.9 20.7 44.9 40.1 19.1 15.3 43.1 37.2 28.9 12.4 121 57.7 51.4 23.3 19.6 8.91 7.00 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 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
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Related questions
Question
Transcribed Image Text:W24 x 94
24 x 76
24 x 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
X
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) Smin =
i
in.³
(b) W
i
i
(c) W=
HI
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
16.4
16.3
16.0
15.9
14.0
13.9
13.8
14.0
13.8
13.9
6.49 13.7
20.0
15.6
14.1
10.0
in.
24.3
23.9
23.7
23.6
8.85
7.69
21.1
21.0
20.8
20.7
18.1
18.0
17.9
17.7
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
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
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
in.³
222
176
154
114
140
127
94.5
81.6
98.3
88.9
68.4
57.6
103
77.8
70.2
48.6
92.2
6.72
81.0
6.68
64.7 6.63
47.2
6.41
42.0
35.3
29.0
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
in.4
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
6.01 121
5.89
5.85
57.7
51.4
23.3
19.6
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
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
Transcribed Image Text:The beam shown will be constructed from a
standard steel W-shape using an allowable
bending stress of 19.4 ksi. Assume P = 31 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)?
A
L₁
B
L2
P
L₁
b
lw
Xx
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