single thick-walled cylinder h2as an inner radius of 100 mm and an outer radius of 155 mm. The cylinder is subjected to an internal pre2 ssure of 65 ????/?? and an external pressure of 25????/?? . (i) Calculate the hoop and radial stress inside and outside of the cylinder. (ii) Sketch the 3D Mohr’s Circle of a point on the inner surface of the
2. (a)
A single thick-walled cylinder h2as an inner radius of 100 mm and an outer radius of 155 mm. The cylinder is subjected to an internal pre2 ssure of 65 ????/?? and an external pressure of 25????/?? .
(i) Calculate the hoop and radial stress inside and outside of the cylinder.
(ii) Sketch the 3D Mohr’s Circle of a point on the inner surface of the cylinder and label the principal stresses (include coordinates values).
(iii) If the cylinder is made of a copper alloy with yield strength of 200 MPa; verify whether the cylinder will fail using the Von Mises Criteria and calculate the Factor of Safety.
(b) To increase the FOS to the standards value, another cylinder is shrunk-fitted to make a compound cylinder. When the internal pressure load remains unchanged, the maximum hoop stress in the inner cylinder of the compound cylinder has been found to be reduced by 5% of the original value
(i)
Calculate the interface pressure at the common radius of the compound cylinder.
(ii)
Assume the cylinders are made of a copper alloy. Suggest alternative ways to increase the FOS and discuss whether the
compound solution is better.
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