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## Q. 5.9

A cylindrical shell with r = 30 in. is simply supported at the ends. If L = 10 ft and t = 0.375 in., find the critical buckling pressure for a uniform applied pressure to sides and ends. Let E = 29 × 10$^6$ psi.

## Verified Solution

$\frac{L}{r}=4.0$

$\frac{D}{t}=160$

From Fig. 5.18, K = 16 and from Eq. 5.28,

$\sigma_{l}=\frac{P_{c r}}{t}=0.60 E\left(\frac{t}{r}\right)$                     (5.28)

$P_{c r}=(16)(29,000,000)\left(\frac{0.375}{60}\right)^{3}$

$P_{c r}=113 psi$ 