Answer: (a) Smin= i (b) Wi (c) W = 1 in.3 xi lb The beam shown will be constructed from a standard steel W-shape using an allowable bending stress of 33.6 ksi. Assume P = 70 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 (ie, not including the loads that are carried by the beam)? Lu B D L2 L₁ Wide-Flange Sections or W Shapes-U.S. Customary Units x x be Web Area Depth thickness Flange width Flange thickness Designation A d Tw by 4 S₁ و" in.² in. in. in. in. in,4 in.³ in. in.4 in,³ 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 x 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 x 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 x 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 (b) Wi (c) W = 1 in.3 xi lb The beam shown will be constructed from a standard steel W-shape using an allowable bending stress of 33.6 ksi. Assume P = 70 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 (ie, not including the loads that are carried by the beam)? Lu B D L2 L₁ Wide-Flange Sections or W Shapes-U.S. Customary Units x x be Web Area Depth thickness Flange width Flange thickness Designation A d Tw by 4 S₁ و" in.² in. in. in. in. in,4 in.³ in. in.4 in,³ 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 x 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 x 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 x 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
Steel Design (Activate Learning with these NEW titles from Engineering!)
6th Edition
ISBN:9781337094740
Author:Segui, William T.
Publisher:Segui, William T.
Chapter1: Introduction
Section: Chapter Questions
Problem 1.5.6P: The data in Table 1.5.3 were obtained from a tensile test of a metal specimen with a rectangular...
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Question
Transcribed Image Text:Answer:
(a) Smin=
i
(b) Wi
(c) W = 1
in.3
xi
lb
Transcribed Image Text:The beam shown will be constructed from a standard steel W-shape using an allowable bending stress of 33.6 ksi. Assume P = 70 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 (ie, not including the loads that are carried by the beam)?
Lu
B
D
L2
L₁
Wide-Flange Sections or W Shapes-U.S. Customary Units
x
x
be
Web
Area Depth thickness
Flange
width
Flange
thickness
Designation
A
d
Tw
by
4
S₁
و"
in.²
in.
in.
in.
in.
in,4
in.³
in.
in.4
in,³
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 x 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 x 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 x 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
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