The document contains two questions about calculating stresses on thin pressure vessels when subjected to internal pressures. The first question asks about determining the dimensions and maximum shear stress on a cylinder with given length, diameter, thickness, and internal pressure. The second question asks about calculating the radial pressure, hoop stress, and change in volume on a spherical shell with a given diameter, thickness, added water volume, and material properties when filled with water at a given pressure.

1. NUMERICALS ON THIN PRESSURE
VESSELS
By: Praveen Kadian

2. 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

3. 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.