Answer to Question #229141 in Mechanical Engineering for Martha

Question #229141

A thick cylinder of internal and external radii 300 mm and 500 mm respectively is subjected to a gradually increasing internal pressure P. Determine the value of P when:

(a) the material of the cylinder first commences to yield;

(b) yielding has progressed to mid-depth of the cylinder wall;

(c) the cylinder material suffers complete “collapse”.

Take uY = 600 MN/m’.


1
Expert's answer
2021-08-27T02:07:20-0400

By Lame's theorem hoop system,

When the material starts yielding,


ri = internal radius = 300mm = 0.3m

ro = external radius = 500mm = 0.5m

where, r = mean radius = = 400mm


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