A shaft is made of a polymer having an elliptical cross

Chapter 6, Problem 6-65

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A shaft is made of a polymer having an elliptical cross section. If it resists an internal moment of \(M=50 \mathrm{~N} \cdot \mathrm{m}\), determine the maximum bending stress in the material (a) using the flexure formula, where \(I_{z}=\frac{1}{4} \pi(0.08 \mathrm{~m})(0.04 \mathrm{~m})^{3}\), (b) using integration. Sketch a three-dimensional view of the stress distribution acting over the cross-sectional area. Here \(I_{x}=\frac{1}{4} \pi(0.08 \mathrm{~m})(0.04 \mathrm{~m})^{3}\).

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