Q. No .8 A spherical pressure vessel has an inside diameter of 4 m and a wall thickness of 15 mm. The vessel will be constructed from structural steel [E = 200 GPa; v 0.29] that has a yield strength of 250 MPa. If the internal pressure in the vessel is 1,200 kPa, determine (a) the normal stress in the vessel wall, (b) the fac- tor of safety with respect to the yield strength, (c) the normal strain in the sphere and (d) the increase in the outside diameter of the vessel.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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Only solution of part (a) is required
Q. No .8 A spherical pressure vessel has an inside diameter of 4 m
and a wall thickness of 15 mm. The vessel will be constructed
from structural steel [E = 200 GPa; v = 0.29] that has a yield
strength of 250 MPa. If the internal pressure in the vessel is 1,200
kPa, determine (a) the normal stress in the vessel wall, (b) the fac-
tor of safety with respect to the yield strength, (c) the normal
strain in the sphere and (d) the increase in the outside diameter of
the vessel.
Transcribed Image Text:Q. No .8 A spherical pressure vessel has an inside diameter of 4 m and a wall thickness of 15 mm. The vessel will be constructed from structural steel [E = 200 GPa; v = 0.29] that has a yield strength of 250 MPa. If the internal pressure in the vessel is 1,200 kPa, determine (a) the normal stress in the vessel wall, (b) the fac- tor of safety with respect to the yield strength, (c) the normal strain in the sphere and (d) the increase in the outside diameter of the vessel.
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