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

\(\large{ \Delta_r = \frac{ -\; p_e \; r_e^2 \; r }{ \lambda \; \left( r_e^2 \;-\; r_i^2 \right)  } \;   \left[   \left( 1 \;-\; \mu \right)  +  \left( 1 \;+\; \mu \right) \; \frac{ r_i^2 }{ r^2 }  \right]  }\)
 Symbol English Metric
\(\large{ \Delta_r }\) = radius change \(\large{ in }\) \(\large{ mm }\)
\(\large{ \lambda }\)  (Greek symbol lambda) = elastic modulus \(\large{\frac{lbf}{in^2}}\) \(\large{Pa}\)
\(\large{ \mu }\)  (Greek symbol mu) = Poisson's Ratio \(\large{ dimensionless }\)
\(\large{ p_e }\) = external pressure \(\large{\frac{lbf}{in^2}}\) \(\large{Pa}\)
\(\large{ r }\) = radius to point of intrest \(\large{ in }\) \(\large{ mm }\)
\(\large{ r_e }\) = external radius \(\large{ in }\) \(\large{ mm }\)
\(\large{ r_i }\) = internal radius \(\large{ in }\) \(\large{ mm }\)

 

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