Spherical Hoop Stress Thick-walled Section (Internal & External Pressure) Formula
|
| \( \sigma_h \;=\; \dfrac{ (p_i \cdot r_i^2) - (p_e \cdot r_e^2) - (r_i^2 \cdot r_e^2) \cdot \left( p_e - \dfrac{ p_i }{ r^2 } \right) }{ r_e^2 - r_i^2 }\) |
| Symbol |
English |
Metric |
| \( \sigma_h \) (Greek symbol sigma) = Spherical Hoop Stress |
\(lbf\;/\;in^2\) |
\(Pa\) |
| \( p_i \) = 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 |
\(in\) |
\(mm\) |
