Athin–walled cylindrical pressure vessel of inner radius r and thickness t r is subjected to an internal pressure p. the pressure vessel is made from steel which has elastic material constants e = 200 gpa and ν = 0.30. if the vessel has a length ` = 3 m, an inner radius of r = 0.65 m, and a wall thickness t = 15 mm, determine the following items for a pressure p = 25 mpa. assume that elongation is positive and contraction is negative.
(a) determine the hoop (circumferential) strain in the pressure vessel.
(b) determine the axial (longitudinal) strain in the pressure vessel.
(c) determine change in the circumference of the pressure vessel caused by the internal pressure.
(d) determine the change in the outer diameter of the pressure vessel caused by the internal pressure.
(e) determine the change in the length of the pressure vessel caused by the internal pressure.