Example: A cylinder has an internal diameter of 230 mm, has walls 5 mm thick and is 1 m long. It is found to change in internal volume by 12.0 x m' when filled with a liquid at a pressure p. If E = 200GN/m2 and y= p.25, and assuming rigid end plates, determine: (a) the values of hoop and longitudinal stresses; (c) the necessary change in pressure p to produce a further increase in internal volume of (longitudinal) are assumed; 15 %. The liquid may be assumed incompressible.

A spherical tank of diameter 1.275 m and wall thickness 40 mm, contains compressed air at a pressure of 17 MPa. What is the absolute maximum shear stress?

The axially aligned pressure vessel, shown in Fig Q2, is made from aluminium exhibiting a Young's Modulus of 73GPa and a Poisson ratio of 0.34. It has an outer diameter D, of 86mm and a wall thickness t of 5mm. The vessel is subject to an internal pressure P of 150bar and externally applied torque T of 4.5kNm. a) Draw the 2D planar state of stress of any finite element located on the outer surface of the pressure vessel, according to the polar coordinate system provided. b) Sketch the longitudinal, circumferential and planar shear strain profile through the thickness of the vessel wall. c) Determine the minimum factor of safety for the given load cases, assuming the aluminium has a yield strength of 175MPA, and comment on the most likely mode and locus of failure. theta i. - Z - T Do Section A-A: Side View End View

Problem 3 A large spherical tank (see figure) contains gas at a pressure of 3.5 MPa. The tank is 20 m in diameter and is constructed of high-strength steel having a yield stress in tension of 550 MPa. (a) Determine the required thickness of the wall of the tank if a factor of safety of 3.5 with respect to yielding is required. (b) If the tank wall thickness is 100 mm, what is the maximum permissible internal pressure? (Assume that the given radius or diameter is an inside dimension and that all internal pressures are gage pressures.)