The beam shown will be constructed from a standard steel W-shape using an allowable bending stress of 26.3 ksi. Assume P = 52 kips. 11 = 4.2 ft, and 12 = 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 beam. [c) What is the total weight of the steel beam itself [ie, not including the loads that are carried by the beam)? L₁ Designation Wide-Flange Sections or W Shapes-U.S. Customary Units Flange Flange thickness 4s in. 0.875 0.680 0.585 0.505 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 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= [b) Ws [c)W= 5 B 5 Web Area Depth thickness width A by in. 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. in. 24.3 0.515 23.9 0.440 23.7 0.415 23.6 0.395 21.1 21.0 20.8 20.7 L2 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 0.430 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 X lb in.³ Ś 9.07 8.99 8.97 7.01 8.27 8.24 6.53 6.50 7.53 7.50 6.02 6.00 10.0 0.685 0.615 8.06 8.03 6.75 6.73 5.03 5.00 0.535 0.450 7.12 0.715 7.07 0.630 7.00 0.505 5.53 0.440 0.630 0.570 0.525 0.425 0.720 0.660 0.595 0.455 0.385 0.420 0.335 D 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 S₂ in.³ 222 176 154 114 140 127 94.5 81.6 in. in.4 9.87 109 9.69 9.55 9.11 92.2 81.0 8.60 64.7 8.54 8.18 8.06 98.3 7.41 44.9 11.9 88.9 40.1 10.7 68.4 19.1 57.6 7.04 15.3 103 82.5 70.4 29.1 7.38 7.21 Sy 6.01 121 77.8 5.89 70.2 5.85 48.6 5.83 42.0 5.73 35.3 5.65 29.0 5.54 24.0 18.4 15.7 15.7 57.5 14.0 24.9 20.7 8.30 6.72 43.1 12.1 6.68 37.2 10.5 64.7 6.63 28.9 47.2 6.41 12.4 8.91 7.00 7.64 6.37 6.35 5.12 24.2 57.7 14.3 51.4 12.8 23.3 6.91 19.6 5.82 3.55 2.80 8.25 4.49 ·X TH "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
The beam shown will be constructed from a standard steel W-shape using an allowable bending stress of 26.3 ksi. Assume P = 52 kips. 11 = 4.2 ft, and 12 = 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 beam. [c) What is the total weight of the steel beam itself [ie, not including the loads that are carried by the beam)? L₁ Designation Wide-Flange Sections or W Shapes-U.S. Customary Units Flange Flange thickness 4s in. 0.875 0.680 0.585 0.505 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 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= [b) Ws [c)W= 5 B 5 Web Area Depth thickness width A by in. 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. in. 24.3 0.515 23.9 0.440 23.7 0.415 23.6 0.395 21.1 21.0 20.8 20.7 L2 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 0.430 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 X lb in.³ Ś 9.07 8.99 8.97 7.01 8.27 8.24 6.53 6.50 7.53 7.50 6.02 6.00 10.0 0.685 0.615 8.06 8.03 6.75 6.73 5.03 5.00 0.535 0.450 7.12 0.715 7.07 0.630 7.00 0.505 5.53 0.440 0.630 0.570 0.525 0.425 0.720 0.660 0.595 0.455 0.385 0.420 0.335 D 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 S₂ in.³ 222 176 154 114 140 127 94.5 81.6 in. in.4 9.87 109 9.69 9.55 9.11 92.2 81.0 8.60 64.7 8.54 8.18 8.06 98.3 7.41 44.9 11.9 88.9 40.1 10.7 68.4 19.1 57.6 7.04 15.3 103 82.5 70.4 29.1 7.38 7.21 Sy 6.01 121 77.8 5.89 70.2 5.85 48.6 5.83 42.0 5.73 35.3 5.65 29.0 5.54 24.0 18.4 15.7 15.7 57.5 14.0 24.9 20.7 8.30 6.72 43.1 12.1 6.68 37.2 10.5 64.7 6.63 28.9 47.2 6.41 12.4 8.91 7.00 7.64 6.37 6.35 5.12 24.2 57.7 14.3 51.4 12.8 23.3 6.91 19.6 5.82 3.55 2.80 8.25 4.49 ·X TH "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
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Related questions
Question
![The beam shown will be constructed from a standard steel W-shape using an allowable bending stress of 26.3 ksi. Assume P = 52
kips. 11 = 4.2 ft, and 12 = 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 beam.
[c) What is the total weight of the steel beam itself [ie, not including the loads that are carried by the beam)?
L₁
Designation
Wide-Flange Sections or W Shapes-U.S. Customary Units
Flange Flange
thickness
4s
in.
0.875
0.680
0.585
0.505
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
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=
[b) Ws
[c)W= 5
B
5
Web
Area Depth thickness width
A
by
in.
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.
in.
24.3
0.515
23.9
0.440
23.7
0.415
23.6 0.395
21.1
21.0
20.8
20.7
L2
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
0.430
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
X
lb
in.³
Ś
9.07
8.99
8.97
7.01
8.27
8.24
6.53
6.50
7.53
7.50
6.02
6.00
10.0
0.685
0.615
8.06
8.03
6.75
6.73
5.03
5.00
0.535
0.450
7.12 0.715
7.07
0.630
7.00
0.505
5.53
0.440
0.630
0.570
0.525
0.425
0.720
0.660
0.595
0.455
0.385
0.420
0.335
D
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
S₂
in.³
222
176
154
114
140
127
94.5
81.6
in.
in.4
9.87 109
9.69
9.55
9.11
92.2
81.0
8.60 64.7
8.54
8.18
8.06
98.3 7.41 44.9 11.9
88.9
40.1
10.7
68.4
19.1
57.6 7.04
15.3
103
82.5
70.4
29.1
7.38
7.21
Sy
6.01 121
77.8
5.89
70.2 5.85
48.6 5.83
42.0
5.73
35.3 5.65
29.0 5.54
24.0
18.4
15.7
15.7
57.5 14.0
24.9
20.7
8.30
6.72 43.1 12.1
6.68
37.2
10.5
64.7 6.63 28.9
47.2
6.41
12.4
8.91
7.00
7.64
6.37
6.35
5.12
24.2
57.7 14.3
51.4 12.8
23.3
6.91
19.6
5.82
3.55
2.80
8.25
4.49
·X
TH
"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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6f1a9bbf-7242-4371-8440-c6f80d103886%2F0b9bf2de-e6c8-49c5-83b6-c2265889acf7%2F2rrrlbs_processed.png&w=3840&q=75)
Transcribed Image Text:The beam shown will be constructed from a standard steel W-shape using an allowable bending stress of 26.3 ksi. Assume P = 52
kips. 11 = 4.2 ft, and 12 = 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 beam.
[c) What is the total weight of the steel beam itself [ie, not including the loads that are carried by the beam)?
L₁
Designation
Wide-Flange Sections or W Shapes-U.S. Customary Units
Flange Flange
thickness
4s
in.
0.875
0.680
0.585
0.505
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
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=
[b) Ws
[c)W= 5
B
5
Web
Area Depth thickness width
A
by
in.
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.
in.
24.3
0.515
23.9
0.440
23.7
0.415
23.6 0.395
21.1
21.0
20.8
20.7
L2
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
0.430
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
X
lb
in.³
Ś
9.07
8.99
8.97
7.01
8.27
8.24
6.53
6.50
7.53
7.50
6.02
6.00
10.0
0.685
0.615
8.06
8.03
6.75
6.73
5.03
5.00
0.535
0.450
7.12 0.715
7.07
0.630
7.00
0.505
5.53
0.440
0.630
0.570
0.525
0.425
0.720
0.660
0.595
0.455
0.385
0.420
0.335
D
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
S₂
in.³
222
176
154
114
140
127
94.5
81.6
in.
in.4
9.87 109
9.69
9.55
9.11
92.2
81.0
8.60 64.7
8.54
8.18
8.06
98.3 7.41 44.9 11.9
88.9
40.1
10.7
68.4
19.1
57.6 7.04
15.3
103
82.5
70.4
29.1
7.38
7.21
Sy
6.01 121
77.8
5.89
70.2 5.85
48.6 5.83
42.0
5.73
35.3 5.65
29.0 5.54
24.0
18.4
15.7
15.7
57.5 14.0
24.9
20.7
8.30
6.72 43.1 12.1
6.68
37.2
10.5
64.7 6.63 28.9
47.2
6.41
12.4
8.91
7.00
7.64
6.37
6.35
5.12
24.2
57.7 14.3
51.4 12.8
23.3
6.91
19.6
5.82
3.55
2.80
8.25
4.49
·X
TH
"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
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