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’.
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