Radial Displacement Thin-wall Section (Internal and External Pressure)
Radial Displacement Thin-wall Section (Internal and External Pressure) Formula |
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| \( \Delta_r \;=\; [\;\; ( 1 - \mu \;/\; \lambda ) \; [ ( p_i \;r_i^2 - p_e \;r_e^2 ) \; r \;/\; r_e^2 - r_i^2 ] \;\;] + [\;\; ( 1 + \mu \;/\; \lambda ) \; [ ( p_i - p_e ) \; r_e^2 \; r_i^2 \;/\; ( r_e^2 - r_i^2) \; r] \;\;] \) | ||
| 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 | \(in\) | \( mm \) |
Tags: Hoop Stress