Hoop stress (circumferential stress) σh = PD/(2t) acts around the circumference of a cylindrical pressure vessel. It is twice the longitudinal stress and is the primary design stress for thin-wall vessels.

What is the thin-wall assumption?

The thin-wall assumption applies when D/t > 20 (or t < D/20). In this case, stress is approximately uniform through the wall thickness. For thick-wall vessels (D/t < 20), use Lamé equations.

Why is hoop stress twice longitudinal stress?

Due to geometry: the circumferential direction has twice the effective area ratio compared to the longitudinal direction. This is why cylindrical vessels typically fail along a longitudinal seam (perpendicular to hoop stress).

What is von Mises stress in a pressure vessel?

For a biaxial stress state (σh, σl), von Mises stress σ_vm = √(σh² - σh·σl + σl²). For thin-wall vessels, σ_vm = σh·√(3)/2 ≈ 0.866·σh. This is used with yield criteria.

What codes govern pressure vessel design?

ASME BPVC Section VIII (USA), EN 13445 (Europe), PD 5500 (UK), AS 1210 (Australia). These codes include safety factors, weld efficiency, corrosion allowance, and material-specific rules beyond simple thin-wall formulas.

मुक्त अभियांत्रिकी साधन

दाबपात्र गणक

हूप ताण σ मोजा_h = PD/(2t) आणि अनुदैर्ध्य ताण σ_l = PD/(4t) पातळ-भिंतीच्या बेलनाकार pressure vessel साठी.

पातळ-भिंतσh = PD/(2t)#172

निकाल

हूप ताण σh

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अनुदैर्ध्य ताण σl

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Von Mises ताण σvm

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D/t गुणोत्तर

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पातळ-भिंत तपासणी

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वेसल छेद & ताण दिशा

पातळ-भिंत pressure vessel सूत्रे

⚠️ टीप: D/t > 20 असताना पातळ-भिंत गृहीतक वैध असते. जाड-भिंतीच्या वेसलसाठी Lamé समीकरणे वापरा. प्रत्यक्ष डिझाइनसाठी नेहमी ASME BPVC किंवा EN 13445 चे पालन करा.

Pressure Vessel Calculator | Hoop & Longitudinal Stress

Published by Nikolai Shelkovenko on फेब्रुवारी 15, 2026 एप्रिल 5, 2026

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पातळ-भिंत pressure vessel सूत्रे

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