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A thick-walled cylindrical shell made of steel with 50 mm internal radius and 100 mm outer radii is subjected to an internal pressure p. The material properties of the cylinder are: tensile elastic limit, sigma(y)=350 MPa, E=207 GPa and v(poisson ratio)= 0.25. Using a factor of safety of 1.5, determine the maximum working pressure p using the following failure criteria:

(please explain step wise)

(a) Maximum principal stress theory Ans (a) [140 MPa] (b) [87.5 MPa] (c) [122 MPa] (d) [100 MPa]

(b) Maximum shear stress theory

(c) Maximum strain theory

(d) Distortion energy theory