Explanation Given information: The force P = 6 lb is applied perpendicular to the handle of the mechanism. The members are pin connected at A , B , C , and D . 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 the right side as positive and the left side as negative in horizontal components of forces. Consider the force indicating upward is taken as positive and downward as negative in 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. Vertical handle of mechanism: Show the free-body diagram of the vertical handle of mechanism as in Figure 1. Using Figure 1, Moment about point A : Determine the force in the member BC by taking the moment about point A . ∑ M A = 0 F B C ( 4 ) − 6 ( 25 ) = 0 (I) Along the vertical direction: Determine the vertical reaction at point A by resolving the vertical component of forces. ∑ F y = 0 F B C − A y = 0 (II) Along the horizontal direction: Determine the horizontal reaction at point A by resolving the horizontal component of forces. ∑ F x = 0 6 − A x = 0 (III) Conclusion: Solve Equation (I). F B C = 6 × 25 4 F B C = 37

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

13th Edition

ISBN: 9780133027990

Author: Russell C. Hibbeler

Publisher: Prentice Hall

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Chapter 6.6, Problem 97P

To determine

The magnitude of force F for equilibrium.

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Chapter 6.6, Problem 96P

Chapter 6.6, Problem 98P

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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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