Derive the expression for the volumetric strain for thin cylindrical shells.

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written 7.1 years ago by

tarashankarsharma • 550

modified 6.1 years ago by

sanketshingote • 100

Derive the expression for the volumetric strain for thin cylindrical shells.

strength of materials

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written 7.1 years ago by

tarashankarsharma • 550

• modified 7.1 years ago

p is the internal pressure, t is the thickness and d is diameter.

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written 6.1 years ago by

teamques10 ★ 70k

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Let $E_l$ and $E_h$ be the longitudinal strain and hoop strain.

And $\mu$ is the poison ration

And E is the modulus of elasticity.

Now, Longitudinal strain $E_L = \frac{P_d}{2 \ t E} - \frac{p_d}{4 t E} \times \mu$

$E_L = \frac{pd}{2 t E} ( \frac{1}{2} - \mu)$

$Circumferential / …

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