Explanation Given information: 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: Draw the free body diagram of the truss as in Figure (1). Refer Figure (1). Consider the reaction at the joint A are denoted by A x and A y . Consider the vertical reaction at P is denoted by P y . Consider the sum of the forces in the horizontal direction as zero. ∑ F x = 0 A x = 0 Consider the moment about the point P is zero. ∑ M P = 0 ( 12 kips × 45 ft ) + ( 12 kips × 30 ft ) + ( 12 kips × 15 ft ) − ( A y × 90 ft ) = 0 A y × 90 ft = 1 , 080 kips ⋅ ft A y = 1 , 080 kips ⋅ ft 90 ft A y = 12 kips ( ↑ ) Consider the sum of the forces acting in the vertical direction is zero. ∑ F y = 0 ( A y ) + P y − 12 kips − 12 kips − 12 kips = 0 ( 12 kips ) + P y − 12 kips − 12 kips − 12 kips = 0 P y = 24 kips ( ↑ ) Draw the free body diagram of portion left of section a-a as in Figure (2)

Vector Mechanics for Engineers: Statics and Dynamics

11th Edition

ISBN: 9780073398242

Author: Ferdinand P. Beer, E. Russell Johnston Jr., David Mazurek, Phillip J. Cornwell, Brian Self

Publisher: McGraw-Hill Education

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Chapter 6.2, Problem 6.64P

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The force in the member HJ and IL.

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Vector Mechanics for Engineers: Statics and Dynamics

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 - Prob. 6.3P Ch. 6.1 - 6.1 through 6.8 Using the method of joints,...Ch. 6.1 - Prob. 6.5P 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 - Prob. 6.10P

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