2. A double-channel shape, 2C10 x 20 steel, Fy = 50 ksi and Fu = 70 ksi, is used for a built-up tension member as shown in the figure. The holes are for 1/2-inch-diameter bolts. a. Determine the design strength for LRFD. b. Determine the allowable strength for ASD. 2½" 2/2" Shape C12x30 X25 x20.7 PNA by C10x30 Area, Depth, A d Thickness, t tw 2 in.² in. in. C15x50 14.7 15.0 15 0.716 11/16 x40 11.8 15.0 15 0.520 2 x33.9 10.0 15.0 15 0.400 d 8.81 12.0 7.34 12.0 6.08 12.0 8.81 10.0 x25 x20 x15.3 4.48 10.0 7.35 10.0 5.87 10.0 Web 12 0.510 2 12 0.387 12 0.282 5/16 10 0.673 11/16 10 0.526 2 10 0.379 38 10 0.240 4 4" Table 1-5 C-Shapes Dimensions Flange in. 3/8 1/4 3.52 32 3/16 3.40 38 4" 1/4 3.17 38 3/16 3.05 3 3/16 2.94 3 Width, b; in. 3.72 34 0.650 5/8 4" 4" 3/8 3.03 3 1/4 2.89 278 3/16 2.74 234 18 2.60 Average Thickness, tr in. Work- k Table 1716 0.650 8 1/16 0.650 % 17/16 Distance Gage in. in. in. in. in. 12/8 24 2 Y2 934 1349 0.501 21% 0.501 2 1½ 0.501 2 1% 0.436 7/16 1/16 0.436 7/16 1/16 0.436 7/16 1/16 28 0.436 7/16 1/16 ho 8 1.17 14.4 1.15 14.4 1.13 14.4 1.01 11.5 1.00 11.5 0.983 11.5 0.924 9.56 1349 1349 0.911 9.56 12 0.894 9.56 12 0.868 9.56

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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2. A double-channel shape, 2C10 x 20 steel, Fy = 50 ksi and Fu = 70 ksi, is used for a built-up
tension member as shown in the figure. The holes are for 1/2-inch-diameter bolts.
a. Determine the design strength for LRFD.
b. Determine the allowable strength for ASD.
2½"
2½"
Shape
C12x30
X25
x20.7
PNA
Web
Thickness, t
tw
2
in.² in.
in.
in.
C15x50 14.7 15.0 15 0.716 11/16 3/8
x40 11.8 15.0 15 0.520 2
x33.9 10.0 15.0 15 0.400
C10x30
by
d
Area, Depth,
A d
8.81 12.0
7.34 12.0
6.08 12.0
8.81 10.0
x25 7.35 10.0
x20 5.87 10.0
x15.3 4.48 10.0
12 0.510 2
12 0.387
12 0.282 5/16
10 0.673 11/16
10 0.526%2
10 0.379 38
10 0.240 4
4"
Table 1-5
C-Shapes
Dimensions
Width,
b;
in.
Flange
3.72 3%
1/4 3.52 32
3/16 3.40 3%
1/4 3.17 38
3/16 3.05 3
3/16 2.94 3
4"
3/8 3.03 3
1/4 2.89 278
3/16 2.74 234
V8 2.60 258
4" 4"
Average
Thickness,
tr
in.
Distance
Work-
k Table
0.650 %8
0.650 8 1/16
0.650 % 17/16
0.501 21%
0.501 2 1½
0.501 2 1½
0.436 7/16 1/16
0.436 7/16 1/16
0.436 7/16 1/16
0.436 7/16 1/16
Gage
in. in. in. in. in.
1/16 128 24
2
Y2
94 1349
J
ho
8
1.17 14.4
1.15 14.4
1.13 14.4
1.01 11.5
1.00 11.5
0.983 11.5
1349 0.924 9.56
1349 0.911 9.56
12 0.894 9.56
129 0.868 9.56
Transcribed Image Text:2. A double-channel shape, 2C10 x 20 steel, Fy = 50 ksi and Fu = 70 ksi, is used for a built-up tension member as shown in the figure. The holes are for 1/2-inch-diameter bolts. a. Determine the design strength for LRFD. b. Determine the allowable strength for ASD. 2½" 2½" Shape C12x30 X25 x20.7 PNA Web Thickness, t tw 2 in.² in. in. in. C15x50 14.7 15.0 15 0.716 11/16 3/8 x40 11.8 15.0 15 0.520 2 x33.9 10.0 15.0 15 0.400 C10x30 by d Area, Depth, A d 8.81 12.0 7.34 12.0 6.08 12.0 8.81 10.0 x25 7.35 10.0 x20 5.87 10.0 x15.3 4.48 10.0 12 0.510 2 12 0.387 12 0.282 5/16 10 0.673 11/16 10 0.526%2 10 0.379 38 10 0.240 4 4" Table 1-5 C-Shapes Dimensions Width, b; in. Flange 3.72 3% 1/4 3.52 32 3/16 3.40 3% 1/4 3.17 38 3/16 3.05 3 3/16 2.94 3 4" 3/8 3.03 3 1/4 2.89 278 3/16 2.74 234 V8 2.60 258 4" 4" Average Thickness, tr in. Distance Work- k Table 0.650 %8 0.650 8 1/16 0.650 % 17/16 0.501 21% 0.501 2 1½ 0.501 2 1½ 0.436 7/16 1/16 0.436 7/16 1/16 0.436 7/16 1/16 0.436 7/16 1/16 Gage in. in. in. in. in. 1/16 128 24 2 Y2 94 1349 J ho 8 1.17 14.4 1.15 14.4 1.13 14.4 1.01 11.5 1.00 11.5 0.983 11.5 1349 0.924 9.56 1349 0.911 9.56 12 0.894 9.56 129 0.868 9.56
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