A high pressure cylinder consists of a steel tube with inner and outer diameters 30 and 60mm respectively. It is jacketed by an outer steel tube, having an outer diameter of 90mm. Maximum principal stress induced is 80N/mm². Calculate the radial stress due to shrink shift in inner tube.
(a) +3.04[1-(15/r) ²]
(b) -3.04[1-(15/r) ²]
(c) -3.04[1-(10/r) ²]
(d) +3.04[1-(10/r) ²]
This question challenged me during an interview.
This fundamental question comes from the Compound Cylinder & Gaskets section in chapter Cylinders and Pressure Vessels and Design of IC Engine Components of Machine Design