Cylinder Hoop Stress
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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\(\large{ \sigma_h = \frac{ D }{ 2 \; t } \; \left( p_i \;-\; p_e \right) }\) (thin wall pipe) \(\large{ \sigma = \frac{ p_i \; d }{ 2 \; t } }\) |
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| Symbol | English | Metric |
| \(\large{ \sigma_h }\) (Greek symbol sigma) = hoop stress | \(\large{\frac{lbf}{in^2}}\) | \(\large{Pa}\) |
| \(\large{ d }\) = cylinder inside diameter | \(\large{ in }\) | \(\large{ mm }\) |
| \(\large{ D }\) = cylinder outside diameter | \(\large{ in }\) | \(\large{ mm }\) |
| \(\large{ p_e }\) = external pressure | \(\large{\frac{lbf}{in^2}}\) | \(\large{Pa}\) |
| \(\large{ p_i }\) = internal pressure | \(\large{\frac{lbf}{in^2}}\) | \(\large{Pa}\) |
| \(\large{ t }\) = wall thickness | \(\large{ in }\) | \(\large{ mm }\) |
Tags: Hoop Stress