A pressure vessel consists of two fiat plates clamped to the ends of a pipe using four rod...

A pressure vessel consists of two fiat plates clamped to the ends of a pipe using four rods, each 15 mm in diameter, to form a cylinder that is to be subjected to internal pressure p (Figure P1.25). The pipe has an outside diameter of 100 mm and an inside diameter of 90 mm. Steel is used throughout (E = 200 GPa). During assembly of the cylinder (before pressurization), the joints between the plates and ends of the pipe arc sealed with a thin mastic and the rods are each pretensioned to 65 kN. Using the mechanics of materials method, determine the internal pressure that will cause leaking. Leaking is defined as a state of zero bearing pressure between the pipe ends and the plates. Also determine the change in stress in the rods. Ignore bending in the plates and radial deformation of the pipe.

FIGURE P1.25 Pressurized cylinder.