Chapter 5
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.
Step-by-Step
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
