Concept explainers
Determine the reactions at ball-and-socket joints D, E, and F of the space truss shown. Express the answers in
Reaction at D, E and F.
Answer to Problem 5.49P
Explanation of Solution
Given Information:
The follwing truss with ball and socket joint at D, E and F is given,
Calculation:
Draw free body diagram of as shown in following figure,
Forces and corresponding position vectors are listed in the following table,
Force | Position vector |
| |
| |
| |
Take equilibrium of moments about origin as,
Above vector equations gives following scalars equations,
Take equilibrium of forces as,
Above vector equations gives following scalars equations,
Solve equations (1-6) to get
Calculate reaction at D as,
Calculate reaction at E as,
Calculate reaction at F as,
Conclusion:
Therefore,
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Chapter 5 Solutions
International Edition---engineering Mechanics: Statics, 4th Edition