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A thin cylinder with both ends closed is subjected to internal pressure p. The longitudinal stress at the surface has been calculated as σ0 . Maximum shear stress at the surface will be
  • a)
    2 σ0
  • b)
    1.5 σ0
  • c)
    σ0
  • d)
    None of these
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
A thin cylinder with both ends closed is subjected to internal pressu...
At the surface σa = σ0 σc = 2σ0 P = 0 (radial stress)
τmax = = σ0
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Community Answer
A thin cylinder with both ends closed is subjected to internal pressu...
Explanation:

Given:

- A thin cylinder with both ends closed is subjected to internal pressure p.
- Longitudinal stress at the surface = σ0.

To find:

- Maximum shear stress at the surface.

Solution:

- The maximum shear stress occurs on a plane inclined at 45 degrees to the longitudinal axis.
- The stress on this plane can be calculated using the formula:

τmax = (σ0/2)

- Therefore, the maximum shear stress at the surface will be:

τmax = (σ0/2) = (1/2)σ0

- Hence, the correct option is C) σ0.

Conclusion:

The maximum shear stress at the surface of a thin cylinder with both ends closed and subjected to internal pressure can be calculated using the formula τmax = (σ0/2), where σ0 is the longitudinal stress at the surface. The correct option is C) σ0.
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A thin cylinder with both ends closed is subjected to internal pressure p. The longitudinal stress at the surface has been calculated as σ0 . Maximum shear stress at the surface will bea) 2 σ0b) 1.5 σ0c) σ0d) None of theseCorrect answer is option 'C'. Can you explain this answer?
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