Explanation Given information: Set P 1 = 9 kN, P 2 = 12 kN , and P 3 = 6 kN . Assumption: 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 right side as positive and left side as negative in horizontal components of forces. Consider the force indicating upside is taken as positive and downside as negative in vertical components of forces. Consider clockwise moment as negative and anti-clock wise moment as positive wherever applicable. Apply the Equation of equilibrium wherever applicable. Explanation: Show the free body diagram of truss as in Figure 1. Find the vertical reaction at point D by taking moment about point A . ∑ M A = 0 D y ( 9 ) − 12 ( 6 ) − 9 ( 3 ) − 6 ( 3 ) = 0 9 D y − 72 − 27 − 18 = 0 D y = 13 kN Pass a section aa as shown in Figure 1 and consider the right side of the section. Show the free body diagram of right side of the section as in Figure 2. Member BC : Apply equation of equilibrium. Take moment about joint E and it will eliminate the force in the members EF and BE . ∑ M E = 0 − F B C ( 3 ) + 13 ( 3 ) = 0 F B C = 13 kN ( T ) Thus, the magnitude of force in the member BC is 13 kN ( T ) _ . Member EF : Apply equation of equilibrium. Take moment about joint B and it will eliminate the force in the members BC and BE

Statics and Mechanics of Materials (5th Edition)

5th Edition

ISBN: 9780134382593

Author: Russell C. Hibbeler

Publisher: PEARSON

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Chapter 5.4, Problem 27P

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Find the force in members EF, BE, BC, and BF of the truss and the state of members are in tension or compression.

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Chapter 5.4, Problem 26P

Chapter 5.4, Problem 28P

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Chapter 5 Solutions

Statics and Mechanics of Materials (5th Edition)

Ch. 5.3 - In each ease, calculate the support reactions and...Ch. 5.3 - Identify the zero-force members in each truss....Ch. 5.3 - Determine the force in each member of the truss...Ch. 5.3 - Determine the force in each member of the truss...Ch. 5.3 - Determine the force in each member of the truss...Ch. 5.3 - Determine the greatest load P that can be applied...Ch. 5.3 - Identify the zero-force members in the truss....Ch. 5.3 - Determine the force in each member of the truss...Ch. 5.3 - Determine the force in each member of the truss...Ch. 5.3 - Determine the force in each member of the truss...

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Find the force in members EF , BE , BC , and BF of the truss and the state of members are in tension or compression.

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Find the force in members EF, BE, BC, and BF of the truss and the state of members are in tension or compression.

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