Question
Download Solution PDFA spherical steel pressure vessel 400 mm in diameter with a wall thickness of 20 mm, is coated with a brittle layer that cracks when strain exceeds100 x 10-7. What internal pressure will cause the layer to develop cracks? (E = 200 GPa, µ = 0.3)
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
The longitudinal and hoop stress in the thin spherical vessel is given by,
Calculation
Given
d = 400 mm, t = 20 mm, E = 200 GPa, μ = 0.3
Maximum strain, εmax = 100 × 10-7
When strain in the sphere exceeds the maximum allowable strain, There will be a failure.
P = 0.57 MPa
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Cylindrical vessel |
Spherical Vessel |
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Longitudinal stress |
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Hoop stress |
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Longitudinal strain |
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Hoop strain |
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Volumetric strain |
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Last updated on May 20, 2025
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