A single vertical force P is applied to a short steel post as shown. Gages located at A

Chapter 11, Problem 11.96

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A single vertical force P is applied to a short steel post as shown. Gages located at A, B, and C indicate the following strains: \(\boldsymbol{\epsilon}_{A}=-500 \ \mu, \ \epsilon_{B}=-1000 \ \mu\), and \(\epsilon_{C}=-200 \ \mu\). Knowing that \(E=29 \times 10^{6}\) psi, determine (a) the magnitude of P, (b) the line of action of P, (c) the corresponding strain at the hidden edge of the post, where x = 22.5 in. and z = 21.5 in.

                                                   

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