Cylinder hoop stress, abbreviated as \(\sigma\) (Greek symbol sigma), is the circumference stress in a cylinder of pipe having both ends closed due to internal pressure.
Cylinder Hoop Stress Formulas |
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\( \sigma_h \;=\; ( D \;/\; 2 \; t ) \; ( p_i - p_e ) \) (Thin Wall Pipe) \( \sigma \;=\; p_i \; d \;/\; 2 \; t \) |
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| Symbol | English | Metric |
| \(\large{ \sigma_h }\) (Greek symbol sigma) = Hoop Stress | \(lbf\;/\;in^2\) | \(Pa\) |
| \(\large{ d }\) = Cylinder Inside Diameter | \( in \) | \( mm \) |
| \(\large{ D }\) = Cylinder Outside Diameter | \( in \) | \( mm \) |
| \(\large{ p_e }\) = External Pressure | \(lbf\;/\;in^2\) | \(Pa\) |
| \(\large{ p_i }\) = Internal Pressure | \(lbf\;/\;in^2\) | \(Pa\) |
| \(\large{ t }\) = Wall Thickness | \( in \) | \( mm \) |
