Physics · Solid Mechanics
According to Lamé's equation, the thickness (t) of a thick-walled cylinder subjected to internal pressure is given by which of the following expressions? (where ri is the inner radius, σt is the allowable design tensile stress, and p is the internal pressure)
- 1ri × [ √((σt + (1 - 2μ)p) / (σt - (1 - 2μ)p)) - 1 ]
- 2ri × [ √(σt / (σt - 2p)) - 1 ]
- 3ri × [ √((σt + (1 - μ)p) / (σt - (1 - μ)p)) - 1 ]
- 4ri × [ √((σt + p) / (σt - p)) - 1 ]✓
Correct answer
ri × [ √((σt + p) / (σt - p)) - 1 ]
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