Explanation Method adopted: Method of Joints. Assumptions: Consider the state of member as tension, where the force is pulling the member, and as compression, where the force is pushing the member. Consider the force indicating the right side as positive and the left side as negative, in the horizontal components of forces. Consider the force indicating upward as positive and downward as negative, in the vertical components of forces. Consider the clockwise moment as negative and the anti-clockwise moment as positive, wherever applicable. Find the reactions. Show the free body diagram of the truss as in Figure 1. Using Figure (1), Moment about Point A : Determine the vertical reaction at point C by taking the moment about point A . ∑ M A = 0 C y ( 8 ) − 800 ( 4 ) = 0 (I) Along the vertical direction: Determine the vertical reaction at joint A by resolving the vertical component of forces. ∑ F y = 0 A y + C y − 800 = 0 (II) Along the horizontal direction: Determine the horizontal reaction at joint A by resolving the horizontal component of forces. ∑ F x = 0 A x = 0 Conclusion: Solve Equation (I). 8 C y − 3 , 200 = 0 8 C y = 3 , 200 C y = 400 lb Substitute 400 lb for C y in Equation (II). A y + 400 − 800 = 0 A y = 400 lb Joint F : Show the free-body diagram of the joint F as in Figure (2). Using Figure 2, Along the vertical direction: Determine the force in the member AF by resolving the vertical component of force. ∑ F y = 0 F A F = 0 Since, there is no other external vertical force at the joint F , the force in the member AF is zero. Along the horizontal direction: Determine the force in the member FE by resolving the horizontal component of forces. ∑ F x = 0 F F E = 0 Since, there is no other external horizontal force at the joint F , the force in the member FE is zero

13th Edition

ISBN: 9780132915540

Author: Russell C. Hibbeler

Publisher: Prentice Hall

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Question

Chapter 6.3, Problem 3FP

To determine

The force in members AE and DC and whether the state of members is in tension or compression.

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Chapter 6.3, Problem 2FP

Chapter 6.3, Problem 4FP

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Chapter 6 Solutions

Engineering Mechanics: Statics

Ch. 6.3 - State if the members are in tension or...Ch. 6.3 - State if the members are in tension or...Ch. 6.3 - Prob. 3FP Ch. 6.3 - Determine the greatest load P that can be applied...Ch. 6.3 - Identify the zero-force members in the truss....Ch. 6.3 - State if the members are in tension or...Ch. 6.3 - Prob. 1P Ch. 6.3 - Prob. 2P Ch. 6.3 - Determine the force in each member of the truss,...Ch. 6.3 - Determine the force in each member of the truss,...

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