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