Explanation Method adopted: Method of section. 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. Apply the equation of equilibrium, wherever applicable. Entire truss: Show the free body diagram of the entire truss as in Figure 1. Using Figure 1, Reactions: Moment about point A : Determine the vertical reaction at point D by taking the moment about point A . ∑ M A = 0 D y ( 28 ) − 800 ( 18 ) − 600 ( 10 ) = 0 (I) Along the vertical direction: Determine the vertical reaction at point A by resolving the vertical component of forces. ∑ F y = 0 A y − 600 − 800 + D y = 0 (II) Along the horizontal direction: Determine the horizontal reaction at point A by resolving the horizontal component of forces. ∑ F x = 0 A x = 0 Conclusion: Solve Equation (I). 28 D y − 14 , 400 − 6 , 000 = 0 28 D y = 20 , 400 D y = 728.57 lb Substitute 728.57 lb for D y in Equation (II). A y − 600 − 800 + 728.57 = 0 A y = 671.43 lb Section a-a : Pass section a-a as shown in Figure 1 and consider the left side of the section

Engineering Mechanics: Statics and Study Pack (13th Edition)

13th Edition

ISBN: 9780133027990

Author: Russell C. Hibbeler

Publisher: Prentice Hall

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Question

Chapter 6.4, Problem 29P

To determine

The force in members GB and GF of the bridge truss and whether the states of members are in tension or compression.

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Chapter 6.4, Problem 28P

Chapter 6.4, Problem 30P

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Chapter 6 Solutions

Engineering Mechanics: Statics and Study Pack (13th Edition)

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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