Explanation Given information: The truss members are made of the same material and have the uniform cross sectional area. Calculation: Calculate the length of member CD as shown below. L C D = l sin 30 ° sin 90 ° = 2 l Angle of the CD to the horizontal is 60 ° . Sketch the Free Body Diagram of the joint C as shown in Figure 1. Refer to Figure 1. Apply the Equations of Equilibrium as shown below. Summation of forces along vertical direction is Equal to zero. ∑ F y = 0 − F C D sin 60 ° − P = 0 − 3 2 F C D = P F C D = − 2 3 P Summation of forces along vertical direction is Equal to zero. ∑ F x = 0 − F C D cos 60 ° − F B C = 0 Substitute − 2 3 P for F C D . − ( − 2 3 P ) cos 60 ° − F B C = 0 2 3 P × 1 2 − F B C = 0 F B C = 1 3 P Calculate the strain energy ( U ) as shown below

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ISBN: 9780073398235

Author: Ferdinand P. Beer, E. Russell Johnston Jr., John T. DeWolf, David F. Mazurek

Publisher: McGraw-Hill Education

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Chapter 11.3, Problem 19P

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Find the strain energy of the truss when the load P is applied.

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Chapter 11 Solutions

Mechanics of Materials, 7th Edition

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Find the strain energy of the truss when the load P is applied.

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Find the strain energy of the truss when the load P is applied.

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