Using the notation of Sec. 8.2 and neglecting the effect

Chapter 8, Problem 8.17

(choose chapter or problem)

Using the notation of Sec. 8.2 and neglecting the effect of shearing stresses caused by transverse loads, show that the maximum normal stress in a circular shaft can be expressed as follows:

\(\sigma_{\max }=\frac{c}{J}\left[\left(M_{y}^{2}+M_{z}^{2}\right)^{\frac{1}{2}}+\left(M_{y}^{2}+M_{z}^{2}+T^{2}\right)^{\frac{1}{2}}\right]_{\max }\)

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