The pipe lies in the horizontal plane. If it is subjected to a vertical force P at its

Chapter 14, Problem 14-21

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The pipe lies in the horizontal plane. If it is subjected to a vertical force \(\mathbf{P}\) at its end, determine the strain energy due to bending and torsion. Express the results in terms of the cross-sectional properties I and J, and the material properties E and G.

                                                       

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