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