Explanation Given information: Consider the horizontal and vertical reaction at A are denoted by A x and A y . Consider the vertical reaction at F is denoted by F y . Assumption: Apply the sign convention for calculating the equations of equilibrium as below. For the horizontal forces equilibrium condition, take the force acting towards right side as positive ( → + ) and the force acting towards left side as negative ( ← − ) . For the vertical forces equilibrium condition, take the upward force as positive ( ↑ + ) and downward force as negative ( ↓ − ) . For moment equilibrium condition, take the clockwise moment as negative and counter clockwise moment as positive. Calculation: Show the free body diagram of frame as shown in Figure 1. Refer Figure 1. For Equilibrium, Consider the sum of the forces in the horizontal direction is zero. Then ∑ F x = 0 A x = 0 Consider the sum of the moment about the point F is zero. Then, ∑ M F = 0 − 72 kN ⋅ m − A y × 3.6 m = 0 A y × 3.6 m = − 72 kN ⋅ m A y = − 72 kN ⋅ m 3.6 m A y = − 20 kN A y = 20 kN ( ↓ ) Thus, the vertical reaction at A is and A y = 20 kN ( ↓ ) _ . Show the free body diagram of the member ABC as shown in Figure 2. Refer Figure 2. The member BE is a two force member. Then, The force B x at the point B is directed along the member BE

Vector Mechanics for Engineers: Statics, 11th Edition

11th Edition

ISBN: 9780077687304

Author: Ferdinand P. Beer, E. Russell Johnston Jr., David Mazurek

Publisher: McGraw-Hill Education

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Chapter 6.3, Problem 6.80P

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Find the components of the forces acting on member ABC.

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Chapter 6.3, Problem 6.79P

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Chapter 6 Solutions

Vector Mechanics for Engineers: Statics, 11th Edition

Ch. 6.1 - 6.1 through 6.8 Using the method of joints,...Ch. 6.1 - Prob. 6.2P Ch. 6.1 - Prob. 6.3P Ch. 6.1 - 6.1 through 6.8 Using the method of joints,...Ch. 6.1 - 6.1 through 6.8 Using the method of joints,...Ch. 6.1 - Using the method of joints, determine the force in...Ch. 6.1 - 6.1 through 6.8 Using the method of joints,...Ch. 6.1 - Prob. 6.8P Ch. 6.1 - 6.9 and 6.10 Determine the force in each member of...Ch. 6.1 - 6.9 and 6.10 Determine the force in each member of...

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