1. An underwater vehicle that can be approximated as a sphere of radius r = 0.8 m is to operate at depth h=1000 m. It is constructed by joining two hemispheres with 40 equally spaced bolts, Figure Q1. The allowable stress for the bolts is 100 MPa. The sphere is filled with air at pressure p = 600 kPa. If the material of the sphere is steel with yield stress gx=600 MPa, and the factor of safety is n = 2.5 with respect to yielding, calculate the bolt diameter d and the required thickness of the sphere t. Assumptions: (a) The sphere may be treated as a thin-walled pressure vessel. (b) The sea water density p= 1000 kg/m³. (c) Buckling of the vessel will not occur. Spherical Vessel Bolts used to fix two hemispheres to each other 0.8 m K Figure Q1

1. An underwater vehicle that can be approximated as a sphere of radius r = 0.8 m is to operate at depth h=1000 m. It is constructed by joining two hemispheres with 40 equally spaced bolts, Figure Q1. The allowable stress for the bolts is 100 MPa. The sphere is filled with air at pressure p = 600 kPa. If the material of the sphere is steel with yield stress gx=600 MPa, and the factor of safety is n = 2.5 with respect to yielding, calculate the bolt diameter d and the required thickness of the sphere t. Assumptions: (a) The sphere may be treated as a thin-walled pressure vessel. (b) The sea water density p= 1000 kg/m³. (c) Buckling of the vessel will not occur. Spherical Vessel Bolts used to fix two hemispheres to each other 0.8 m K Figure Q1

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter8: Applications Of Plane Stress (pressure Vessels, Beams, And Combined Loadings)

Section: Chapter Questions

Problem 8.2.3P: A large spherical tank (see figure) contains gas at a pressure of 420 psi. The tank is 45 ft in...

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