Radial Displacement Thin-wall Section (External Pressure Only)
Radial Displacement Thin-wall Section (External Pressure only) Formula |
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\(\large{ \Delta_r = \frac{ -\; p_e \; r_e^2 \; r }{ \lambda \; \left( r_e^2 \;-\; r_i^2 \right) } \; \left[ \left( 1 \;-\; \mu \right) + \left( 1 \;+\; \mu \right) \; \frac{ r_i^2 }{ r^2 } \right] }\) | ||
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 | \(\large{ in }\) | \(\large{ mm }\) |
Tags: Hoop Stress