Radial Displacement Thin-wall Section (Internal and External Pressure)
Radial Displacement Thin-wall Section (Internal and External Pressure) Formula |
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| \(\large{ \Delta_r = \frac{ 1 \;-\; \mu }{ \lambda } \; \frac{ \left( p_i \;r_i^2 \;-\; p_e \;r_e^2 \right) \; r }{ r_e^2 \;-\; r_i^2 } \;+\; \frac{ 1 \;+\; \mu }{ \lambda } \; \frac{ \left( p_i \;-\; p_e \right) \; r_e^2 \; r_i^2 }{ \left( r_e^2 \;-\; r_i^2 \right) \; r } }\) | ||
| 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 | \(\large{\frac{lbf}{in^2}}\) | \(\large{Pa}\) |
| \(\large{ p_i }\) = internal pressure | \(\large{\frac{lbf}{in^2}}\) | \(\large{Pa}\) |
| \(\large{ p }\) = pressure under consideration | \(\large{\frac{lbf}{in^2}}\) | \(\large{Pa}\) |
| \(\large{ r }\) = 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