The beam shown will be constructed from a standard steel W-shape using an allowable bending stress of 21.5 ksi. Assume P = 34 kips, L₁= 6.3 ft, and L₂ = 18.9 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)? Designation W24 x 94 24 x 76 Wide-Flange Sections or W Shapes-U.S. Customary Units 24 × 68 24 x 55 W21 x 68 21 x 62 21 x 50 in.² 27.7 224 Web Area Depth thickness width d A 1 by 20.1 16.2 B 20.0 183 147 P in. 24.3 23.9 23.7 23,6 21.1 21.0 20.8 in. 0.515 0.440 0.415 0.395 0,430 0.400 0.340 Flange Flange thickness 4 9.07 8.99 L2 8.97 7.01 8.27 8.24 6.53 in. 0.875 0.680 0.585 0.505 0.685 0.615 0535 1, in. 2700 2100 1830 1350 1480 1330 984 S₂ 222 176 154 114 140 127 945 P L₁ 1, in. in.* 9.87 109 9.69 9.55 9.11 8.60 8.54 8.18 82.5 S₂ in.) 70.4 29.1 64.7 15.7 57.5 14.0 249 3 " in. 24.0 1.98 18.4 1.92 15.7 1.87 8.30 1.34 7.64 D 1.80 1.77 1.30 X

Structural Analysis
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Chapter2: Loads On Structures
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The beam shown will be constructed from a
standard steel W-shape using an allowable
bending stress of 21.5 ksi. Assume P = 34 kips,
L₁= 6.3 ft, and L₂ = 18.9 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
Designation
W24 x 94
24 x 76
24 x 68
24 x 55
L₁
Wide-Flange Sections or W Shapes-U.S. Customary Units
Web
Flange Flange
Area Depth thickness width
A
d
thickness
1
by
in.
W21 x 68
21 x 62
21 x 50
in.²
in.
27.7 24.3
224 23.9
23.7
23.6
20.1
16.2
B
20.0
183
147
P
21.1
21.0
20.8
in.
0.515
0.440
0.415
0.395
0,430
0.400
0.380
9.07
8.99
8.97
7.01
L2
8.27
8.24
6.53
in.
0.875
0.680
0.585
0.505
0.685
0.615
0.535
1,
2700
2100
1830
1350
1480
1330
984
S₂
in.'
176
154
114
140
127
94.5
P
L₁
8.60
8.54
8.18
1,
in.
in
9.87 109
9.69
9.55
9.11
82.5
70.4
29.1
64.7
57.5
24.9
S₂ Ty
in.
1.98
1.92
1.87
1.34
24.0
18.4
15.7
8.30
15.7
14.0
D
7.64
1.80
1.77
1.30
X
Transcribed Image Text:The beam shown will be constructed from a standard steel W-shape using an allowable bending stress of 21.5 ksi. Assume P = 34 kips, L₁= 6.3 ft, and L₂ = 18.9 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 Designation W24 x 94 24 x 76 24 x 68 24 x 55 L₁ Wide-Flange Sections or W Shapes-U.S. Customary Units Web Flange Flange Area Depth thickness width A d thickness 1 by in. W21 x 68 21 x 62 21 x 50 in.² in. 27.7 24.3 224 23.9 23.7 23.6 20.1 16.2 B 20.0 183 147 P 21.1 21.0 20.8 in. 0.515 0.440 0.415 0.395 0,430 0.400 0.380 9.07 8.99 8.97 7.01 L2 8.27 8.24 6.53 in. 0.875 0.680 0.585 0.505 0.685 0.615 0.535 1, 2700 2100 1830 1350 1480 1330 984 S₂ in.' 176 154 114 140 127 94.5 P L₁ 8.60 8.54 8.18 1, in. in 9.87 109 9.69 9.55 9.11 82.5 70.4 29.1 64.7 57.5 24.9 S₂ Ty in. 1.98 1.92 1.87 1.34 24.0 18.4 15.7 8.30 15.7 14.0 D 7.64 1.80 1.77 1.30 X
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