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The uniform bars AB and BC each weigh 4 lb/ft. Calculate the tension in cable DE, and the magnitudes of the ball-and-socket reactions at A, B, and C.
Tension in cable DE and magnitude of reactions at A, B and C.
Answer to Problem 5.56RP
Explanation of Solution
Given Information:
Weight of the uniform bars AB and BC is 4 lb/ft.
Calculation:
Draw free body diagram of as shown in following figure,
Take equilibrium of moments about x-axis passing through A in free body diagram of AB as,
Take equilibrium of moments about z-axis passing through A in free body diagram of AB as,
Take equilibrium of forces in x-direction in free body diagram of AB as,
Take equilibrium of forces in y-direction in free body diagram of AB as,
Take equilibrium of forces in z-direction in free body diagram of AB as,
Take equilibrium of moments about C in free body diagram of BC as,
Above vector equation yields following scalar equations,
Solve equations 6 and 7 to get
From equation (4)
Take equilibrium of forces in free body diagram of BC as,
Above vector equation yields following scalar equations,
Substitute known parameters and solve equations (8-10) to get,
Magnitude of reaction at A:
Magnitude of reaction at B:
Magnitude of reaction at C:
Conclusion:
Therefore,
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Chapter 5 Solutions
International Edition---engineering Mechanics: Statics 4th Edition
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- International Edition---engineering Mechanics: St...Mechanical EngineeringISBN:9781305501607Author:Andrew Pytel And Jaan KiusalaasPublisher:CENGAGE L