Radial Displacement Thin-wall Section (External Pressure Only)

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pv radial displacement 2

Radial Displacement Thin-wall Section (External Pressure only) Formula

\( \Delta_r \;=\;  [\; -\; p_e \; r_e^2 \; r \;/\; \lambda \; \left( r_e^2 \;-\; r_i^2 \right) \;]  \;   \left[   \left( 1 \;-\; \mu \right)  +  \left( 1 \;+\; \mu \right) \; \frac{ r_i^2 }{ r^2 }  \right]  \)
 Symbol English Metric
\( \Delta_r \) = Radius Change \( in \) \( mm \)
\( p_e \) = External Pressure \(lbf\;/\;in^2\) \(Pa\)
\( r_e \) = External Radius \( in \) \( mm \)
\( r \) = Radius to Point of Intrest \( in \) \( mm \)
\( \lambda \)  (Greek symbol lambda) = Elastic Modulus \(lbf\;/\;in^2\) \(Pa\)
\( r_i \) = Internal Radius \( in \) \( mm \)
\( \mu \)  (Greek symbol mu) = Poisson's Ratio \( dimensionless \) \( dimensionless \)

 

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