Question
Download Solution PDFWall thickness of a cylindrical shell of 800 mm internal diameter and having the internal volume of 1 m3 is 10 mm. If the shell is subjected to an internal pressure of 1.5 MPa, what will be the increase in the capacity of the cylinder?
[Assuming water is incompressible; Poisson ratio = 0.3; modulus of elasticity = 200 GPa]
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
We use strain relations in a thin cylindrical shell to determine the increase in capacity under internal pressure.
Given:
- Internal diameter,
- Internal radius,
- Wall thickness,
- Internal pressure,
- Modulus of elasticity,
- Poisson's ratio,
- Initial volume,
Step 1: Calculate circumferential (hoop) stress and strain
Longitudinal stress,
Hoop strain,
Step 2: Calculate longitudinal strain
Step 3: Calculate volumetric strain
Step 4: Calculate increase in volume
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