Radial Displacement Thin-wall Section (Internal and External Pressure) Formula
|
| \( \Delta_r \;=\; \left( \dfrac{ 1 - \mu }{ \lambda } \cdot \left( \dfrac{ ( p_i \cdot r_i^2 - p_e \cdot r_e^2 ) \cdot r }{ r_e^2 - r_i^2 } \right) \right) + \left( \dfrac{ 1 + \mu }{ \lambda } \cdot \left( \dfrac{ ( p_i - p_e ) \cdot r_e^2 \cdot r_i^2 }{ ( r_e^2 - r_i^2) \cdot r } \right) \right) \) |
| 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 |
\(in\) |
\( mm \) |
