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Question 1. [12] A thin-walled cylindrical pressure vessel of radius r is subjected simultaneously to internal gas pressure p and a compressive force F acting at the ends (see figure 1). (a) What should be the magnitude of the force F in order to produce pure shear in the wall of the cylinder? (5) (b) Compute the required thickness of the vessel if Force F = 190KN, internal pressure p = 12 MPa, inner diameter = 200 mm, and allowable normal and shear stresses are 110 MPa and 60 MPa, respectively? (7) Figure 1: cylindrical pressure vessel