Solved: Solve Prob. 6116 using the equation developed in

Chapter 6, Problem 6-117

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Solve Prob. 6–116 using the equation developed in Prob. 6–106.

For the section, \(I_{y^{\prime}}=31.7\left(10^{-6}\right) \mathrm{m}^{4}, I_{z^{\prime}}=114\left(10^{-6}\right) \mathrm{m}^{4}\), \(I_{y^{\prime} z^{\prime}}=15.8\left(10^{-6}\right) \mathrm{m}^{4}\). Using the techniques outlined in Appendix A, the member’s cross-sectional area has principal moments of inertia of \(I_{y}=28.8\left(10^{-6}\right) \mathrm{m}^{4}\) and \(I_{z}=117\left(10^{-6}\right) \mathrm{m}^{4}\), calculated about the principal axes of inertia y and z, respectively. If the section is subjected to a moment of \(M=2500 \mathrm{~N} \cdot \mathrm{m}\), determine the stress produced at point A, using Eq. 6–17.