Explanation Given information: The member FG is increased by δ ( F G ) = 1.5 in . Calculation: Show the free-body diagram of the truss as in Figure 1. Find the vertical reaction B by taking moment about point J . ∑ M J = 0 − P ( 7.5 ) + B ( 40 ) = 0 B = 0.1875 P Pass a section passing the members EG , FG, and FH . Show the free-body diagram of the cut section as in Figure 2. Find the value of θ as follows; tan θ = Opposite side Adjacent side = 7.5 10 θ = 36.87 ° Resolve the vertical component of forces. ∑ F y = 0 F F G sin θ − B = 0 F F G sin 36.87 ° − 0.1875 P = 0 F F G = 0

12th Edition

ISBN: 9781259977268

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

Publisher: McGraw-Hill Education

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Chapter 10.1, Problem 10.58P

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Find the horizontal movement of joint C.

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Chapter 10.1, Problem 10.57P

Chapter 10.2, Problem 10.59P

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NOTE: 3 DECIMAL PLACES

8. For the plane truss loaded as shown below, use the method of joints to calculate the force in members AB, BC,AG, BC and GC. 10 mm 7.5 m 30 kN 8 4.5 m 30 kN 4.5 m f 30 KN 7.5 m 3 m 3 m

For the truss loaded and supported as shown, compute the force on each member. Again, tabulate your answers and show your full solution.

Chapter 10 Solutions

Vector Mechanics for Engineers: Statics

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Find the horizontal movement of joint C .

Solution Summary: The author shows the free-body diagram of the truss as in Figure 1. Find the vertical reaction B by taking moment about point J.

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Chapter 10 Solutions