Radial Displacement Thin-wall Section (Internal Pressure Only)

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pv radial displacement 2

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

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

 

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