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problem solution_ch1_ch3 - Chapter 1 Problem 7...

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Chapter 1, Problem 7 Pin-connected members ADB and CD carry a load W applied by a cable-pulley arrangement, as shown in Figure P1.7. Determine ( a ) The components of the reactions at A and C . ( b ) The axial force, shear force, and moment acting on the cross-section at point G . Given: The pulley at B has a radius of 150 mm. Load W = 1 . 6 kN. Figure P1.7 Chapter 1, Solution 7 ( a ) C E D D x D y 0.25 0 15 R Cy R Cx 1.6 B y 1.6 B x 150 1.6 B Free body pulley B F B kN x x = = 0 16 : . N F B k y y = = 0 16 : . Free body CED M R R kN D Cx Cx = = = 0 0 4 16 015 0 0 6 : ( . ) . ( . ) , . N D y F D D k x x x = + = = 0 0 6 16 0 1 : . . , F R y Cy = = 0:
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Free body ADB M D B D kN R kN A y y y Cy = = = = 0 05 15 0 48 48 : ( . ) ( . ) , . , . kN 32 . N 0 6 . kN F R D B R x Ay y y Ay = + = = 0 0 : , F R D B R k x Ax x x Ax = + = = 0 0 : , ( b ) M N m V G G = = = 16 0 6 960 16 . ( . ) , . F k G N = 16 . M G F G B G V G 0 6 1. 1 6 Chapter 1, Solution 11 Free body-entire frame M R R kips A y y = = = 0 30 3 18 4 12 0 34 : ( ) ( ) ( ) , . Free body-member BC M R R C x y = = 0 9 12 0 : ( ) ( ) and R k x = = 4 3 34 4533 ( . ) . ips Thus F R kip BC = = + = ( . ) ( . ) . 4533 34 5666 2 2 s C B A 4 3 R x R y R 9 3f 4 kips 3 12 18
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