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A thin gas cylinder with an internal radius of 100 mm is subject to an internal pressure of 10 MPa. The maximum permissible working stress is restricted to 100 MPa. The minimum cylinder wall thickness (in mm) for safe design must be _______

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Concept:

In case of thin cylinder,

Hoop Stress, \(\sigma_h = \frac{{Pd}}{{2t}}\)

Longitudinal stress, \(\sigma_l = \frac{{Pd}}{{4t}}\)

The maximum stress in case of the thin cylinder is

\(\sigma = \sigma_h = \frac{{Pd}}{{2t}}\)

Calculation:

Given:

σ = 100 MPa, P = 10 MPa, d = 2r = 200 mm

\(\sigma = \frac{{Pd}}{{2t}}\)

\(100 = \frac{{10 \times 200}}{{2 \times t}}\)

⇒ t = 10 mm

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