Pressure Loading of thin-walled Spherical Vessel formulas |
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\( \sigma_{sph} \;=\; \dfrac{ p \cdot r }{ 2 \cdot t }\) \( R \;=\; \dfrac{ p \cdot r^2 \cdot \left( 1 - v \right) }{ 2 \cdot E \cdot t }\) \( V \;=\; \dfrac{ 2 \cdot p \cdot \pi \cdot r^4 \cdot \left( 1 - v \right) }{ E \cdot t }\) |
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| Symbol | English | Metric |
| \( \sigma_{sph} \) (Greek symbol sigma) = stress | \(lbf\;/\;in^2\) | \(Pa\) |
| \( p \) = uniform internal pressure | \(lbf\;/\;in^2\) | \(Pa\) |
| \( r \) = radius | \( in \) | \( mm \) |
| \( t \) = thickness | \( in \) | \( mm \) |
| \( \mu \) (Greek symbol mu) = Poisson's ratio | \( dimensionless \) | \( dimensionless \) |
| \( E \) = modulus of elasticity | \(lbf\;/\;in^2\) | \(Pa\) |
| \( R \) = increase in radius | \( in \) | \( mm \) |
| \( V \) = increase in volume | \( in^3 \) | \( mm^3 \) |
