Explanation 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. Given information: The load on the jack is 2,000 lb. All the points are pinned. The piston at H has a cross-sectional area of A = 2 in 2 . The pressure in the fluid is p = F A . Segment AC : Show the free-body diagram of the segment AC as in Figure 1. Using Figure 1, Moment about point C : Determine the force in the member AB by taking the moment about point C . ∑ M C = 0 2 , 000 ( 2 ) − F A B sin 60 ° ( 4 ) = 0 (I) Along the vertical direction: Determine the vertical reaction at point C by resolving the vertical component of forces. ∑ F y = 0 F A B sin 60 ° − 2 , 000 + C y = 0 (II) Along the horizontal direction: Determine the horizontal reaction at point C by resolving the horizontal component of forces. ∑ F x = 0 C x − F A B cos 60 ° = 0 (III) Conclusion: Solve Equation (I). 4 , 000 − F A B sin 60 ° ( 4 ) = 0 F A B = 4 , 000 4 × sin 60 ° F A B = 1 , 154.73 lb Substitute 1,154.73 lb for F A B in Equation (II). 1 , 154.73 sin 60 ° − 2 , 000 + C y = 0 C y = 1 , 000 lb Substitute 1,154

13th Edition

ISBN: 9780132915540

Author: Russell C. Hibbeler

Publisher: Prentice Hall

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Question

Chapter 6.6, Problem 105P

To determine

The pressure acting on the fluid when the jack is in the original position.

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Chapter 6.6, Problem 104P

Chapter 6.6, Problem 106P

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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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