The spherical pressure vessel has an inner diameter of 2 m and a thickness of 10 mm. A

Chapter 10, Problem 10-39

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The spherical pressure vessel has an inner diameter of 2 m and a thickness of 10 mm. A strain gauge having a length of 20 mm is attached to it, and it is observed to increase in length by 0.012 mm when the vessel is pressurized. Determine the pressure causing this deformation, and find the maximum in-plane shear stress, and the absolute maximum shear stress at a point on the outer surface of the vessel. The material is steel, for which \(E_{\mathrm{st}}=200 \mathrm{GPa}\) and \(\nu_{\mathrm{st}}=0.3\).

                                                     

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