NUMERICALS ON THIN PRESSURE VESSELS

By: Praveen Kadian

Q. A cylinder is 3 m long, 0.75 m in diameter and 12.5 mm thick at atmospheric pressure. Calculate the dimensions when subjected to an internal pressure of 1.5 Mpa. What is then the maximum shear stress in the shell?

Assume E= 210 GPa, v= 0.25

Q. A thin spherical shell 50 cm in dia, with a thickness 3 mm, is full of water at atm pressure (0.1 MPa). Find the intensity of radial pressure exerted on the wall of shell if 30 cc of water at atm pressure is pumped into the shell. Calculate resultant hoop stress and change in volume of sphere if modulus of elasticity of shell is E= 210 Gpa, poisson’s ratio= 0.33, and bulk modulus of water is 2.361 Gpa.