Radial Displacement Thin-wall Section (Internal and External Pressure) Formula |
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| \( \Delta_r \;=\; \left( \dfrac{ 1 - \mu }{ \lambda } \cdot \left( \dfrac{ ( p_i \cdot r_i^2 - p_e \cdot r_e^2 ) \cdot r }{ r_e^2 - r_i^2 } \right) \right) + \left( \dfrac{ 1 + \mu }{ \lambda } \cdot \left( \dfrac{ ( p_i - p_e ) \cdot r_e^2 \cdot r_i^2 }{ ( r_e^2 - r_i^2) \cdot r } \right) \right) \) | ||
| Symbol | English | Metric |
| \( \Delta_r \) = Radius Change | \(in\) | \( mm \) |
| \( \mu \) (Greek symbol mu) = Poisson's Ratio | \(dimensionless\) | \(dimensionless\) |
| \( \lambda \) (Greek symbol lambda) = Elastic Modulus | \(lbf\;/\;in^2\) | \(Pa\) |
| \( p_i \) = Internal Pressure | \(lbf\;/\;in^2\) | \(Pa\) |
| \( r_i \) = Internal Radius | \(in\) | \( mm \) |
| \( p_e \) = External Pressure | \(lbf\;/\;in^2\) | \(Pa\) |
| \( r_e \) = External Radius | \(in\) | \( mm \) |
| \( r \) = Radius to Point of Intrest | \(in\) | \( mm \) |
