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
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
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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