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Unformatted text preview: Assignment 10 Key solutions Chapter 6, Problem 86. Determine the components of the reactions at A and E when a counterclockwise couple of magnitude 192 lb ⋅ in. is applied to the frame ( a ) at B , ( b ) at D . Chapter 6, Solution 86. ( a ) FBD AC : ( b ) FBD CE : Note: CE is a twoforce member ( 29 ( 29 1 1 0: 8 in. 2 in. 192 lb in. 2 2 A CE CE M F F Σ = + ⋅ = 19.2 2 lb, CE F = 19.20 lb x = E t 19.20 lb y = E t 0: 19.2 lb = 0, x x F A Σ = 19.20 lb x = A t 0: 19.2 lb = 0, y y F A Σ = 19.20 lb y = A t Note: AC is a twoforce member ( 29 1 4 0: 3 in. 192 lb in. = 0 17 17 E AE AE M F F Σ = + + ⋅ 12.8 17 lb, AE F =  4 , 17 x AE A F = 51.2 lb x = A t 1 , 17 y AE A F = 12.80 lb y = A t 0: 51.2 lb = 0, x x F E Σ = 51.2 lb x = E t 0: 12.80 lb = 0, y y F E Σ = 12.80 lb y = E t Chapter 6, Problem 89. The 120N load can be moved along the line of action shown and can be applied at A , D , or E . Determine the components of the reactions at B and F when the 120N load is applied ( a ) at A , ( b ) at D , ( c ) at E . Chapter 6, Solution 89. ( a ) FBD ACF : ( b ) FBD BCE : Note: BC is a twoforce member ( 29 ( 29 ( 29 1 0: 0.1 m 120 N 0.3 m 0, 26 F BC M F Σ = = 40 26 N, BC F = 200 N x = B t 40.0 N y = B t ( 29 5 0: 40 26 N 0, 26 x x F F Σ = = 200 N x = F t ( 29 1 0: 120 N 40 26 N 0, 26 y y F F Σ = = 160.0 N y = F t Note ACF is a twoforce member ( 29 ( 29 ( 29 1 0: 0.4 m 120 N 0.3 m 0, 5 B...
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This note was uploaded on 06/06/2011 for the course ME 201 taught by Professor Hsia during the Spring '11 term at California State University Los Angeles .
 Spring '11
 Hsia
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