Current Attempt in Progress The beam shown will be constructed from a standard steel W-shape using an allowable bending stress of 40.7 ksi. Assume P = 69 kips, L₁=2.7 ft, and L2 = 8.1 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)? L1 P B L2 L₁ Wide-Flange Sections or W Shapes-U.S. Customary Units D X T

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Question
The beam shown will be constructed from a standard steel W-shape using an allowable bending stress of 40.7 ksi. Assume P = 69 kips, L1 = 2.7 ft, and L2 = 8.1 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)?
!!
Question 5 of 5
(
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 x 68
14 x 53
14 x 48
14 x 34
14 x 30
14 x 26
14 x 22
Answer:
(a) Smin
(b) Wi
(c) W = i
i
<
Save for Later
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
eTextbook and Media
>
23.9
23.7
23.6
21.1
21.0
20.8
20.7
18.1
18.0
17.9
17.7
14.0
13.9
13.8
14.0
8.85 13.8
7.69
13.9
6.49
13.7
16.4
16.3
16.0
15.9
0.440
0.415
0.395
0.430
0.400
lb
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.³
X i
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
0.680
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
2100
1830
1350
1480
1330
984
843
890
800
612
510
758
659
518
375
722
541
484
340
291
245
199
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
9.69
9.55
9.11
8.60
8.54
8.18 24.9
8.06
20.7
7.41
7.38
7.21
7.04
6.72
6.68
6.63
6.41
82.5
70.4
29.1
6.01
5.89
5.85
5.83
5.73
5.65
5.54
64.7
57.5
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
0/10
Attempts: 1 of 3 used
HKvision
18.4
15.7
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
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
6.91
1.53
5.82
1.49
3.55 1.08
2.80
1.04
Submit Answer
Transcribed Image Text:!! Question 5 of 5 ( 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 x 68 14 x 53 14 x 48 14 x 34 14 x 30 14 x 26 14 x 22 Answer: (a) Smin (b) Wi (c) W = i i < Save for Later 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 eTextbook and Media > 23.9 23.7 23.6 21.1 21.0 20.8 20.7 18.1 18.0 17.9 17.7 14.0 13.9 13.8 14.0 8.85 13.8 7.69 13.9 6.49 13.7 16.4 16.3 16.0 15.9 0.440 0.415 0.395 0.430 0.400 lb 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.³ X i 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 0.680 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 2100 1830 1350 1480 1330 984 843 890 800 612 510 758 659 518 375 722 541 484 340 291 245 199 176 154 114 140 127 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 9.69 9.55 9.11 8.60 8.54 8.18 24.9 8.06 20.7 7.41 7.38 7.21 7.04 6.72 6.68 6.63 6.41 82.5 70.4 29.1 6.01 5.89 5.85 5.83 5.73 5.65 5.54 64.7 57.5 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 0/10 Attempts: 1 of 3 used HKvision 18.4 15.7 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 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 6.91 1.53 5.82 1.49 3.55 1.08 2.80 1.04 Submit Answer
O
Current Attempt in Progress
The beam shown will be constructed from a standard steel W-shape using an allowable bending stress of 40.7 ksi. Assume P = 69 kips,
L₁=2.7 ft, and L2 = 8.1 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
y
L₁
Designation
P
W24 x 94
B
L2
Web
Area Depth thickness
A
d
tw
in.²
27.7
Wide-Flange Sections or W Shapes-U.S. Customary Units
Flange Flange
width thickness
t
bg
in.
in.
24.3
C
in.
0.515
P
9.07
Li
OD
in.
0.875
X
1x
in.4
2700
Sx
in.³
222
rx
I,
in.4
in.
9.87 109
HKvision
tf
X--X
S₂
in.3
24.0
Y
be
ry
in.
1.98
Iw
Transcribed Image Text:O Current Attempt in Progress The beam shown will be constructed from a standard steel W-shape using an allowable bending stress of 40.7 ksi. Assume P = 69 kips, L₁=2.7 ft, and L2 = 8.1 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 y L₁ Designation P W24 x 94 B L2 Web Area Depth thickness A d tw in.² 27.7 Wide-Flange Sections or W Shapes-U.S. Customary Units Flange Flange width thickness t bg in. in. 24.3 C in. 0.515 P 9.07 Li OD in. 0.875 X 1x in.4 2700 Sx in.³ 222 rx I, in.4 in. 9.87 109 HKvision tf X--X S₂ in.3 24.0 Y be ry in. 1.98 Iw
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