Pressure Vessel / Pipe
Thin-wall hoop σθ = pD/2t, longitudinal = pD/4t; Barlow min wall t = p·OD/2S; thick-wall Lamé hoop at bore = p(rₒ²+rᵢ²)/(rₒ²−rᵢ²). Units: mm, MPa.
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Thin-wall hoop
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Longitudinal
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Barlow min wall
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Thick-wall @ bore
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Thin-wall valid for D/t ≳ 20. A helper, not a substitute for engineering judgment.