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Thin-cylinder internal-pressure stress calculator

Engineering calculators (Beta)

Find hoop and longitudinal membrane stress from pressure difference, mean diameter and thickness.

Inputs

Choose units and enter numbers. Full-width digits and fractions such as 1/8 or 1 3/8 are accepted. Changing a unit converts the entered value.

Results

Reference calculation only. Results do not certify suitability for an actual design or its safety.

Diagram

Inputs: select a blue symbol to edit Results: red-orange values and lines

Formula and applicability

σhoop=pD/(2t); σaxial=pD/(4t); pcompare=2tσallow/D.

Displayed values are rounded. Diagrams illustrate the calculation conditions. Initial material and fluid properties are examples; replace them with values for the actual material, temperature and conditions.

Reference
Using this information as a reference

Equations assume particular loads, supports and deformation ranges. Check inputs, units and the applicability of each equation. Diagrams explain conditions; they are not manufacturing drawings or proof of safety.

Material values are typical values or reference ranges, not certified product properties or ready-to-use design allowables. They vary with standards, product form, dimensions, temper and temperature. Check the specifications and inspection certificates for the actual product.

Displayed safety factors and checks apply only to the supplied inputs and calculation model. They do not automatically establish the safety of a complete design, including code compliance, service life, fatigue or joints. For actual design, manufacture and use, separately verify applicable regulations and standards, product specifications, and the necessary tests and engineering review.

この計算で求められること

内外圧差・平均直径・肉厚から、周方向と軸方向の膜応力を求めます。

入力・結果・適用条件を確認する

選択した形状・計算方法により、使う項目は変わります。実際の計算は上の図と入力欄で行えます。

主な入力

  • 内外の圧力差 p(内圧が高い) (MPa / kPa / bar)
  • 肉厚中心の平均直径 D (mm / cm / m)
  • 肉厚 t (mm / cm / m)
  • 比較する許容膜応力 (MPa / GPa / Pa)

得られる結果

  • 周方向の膜応力 (MPa)
  • 閉止端による軸方向膜応力 (MPa)
  • 周方向の応力制限に対応する圧力差 (MPa)
  • 平均直径/肉厚 D/t (—)

計算式の概要

σhoop=pD/(2t); σaxial=pD/(4t); pcompare=2tσallow/D.

平均直径D/肉厚tが20以上の薄肉・閉止端・内圧の基本膜理論です。外圧座屈、溶接効率、腐食代、開口部、疲労、温度、法規・圧力容器の設計認証は含みません。出力圧力は入力した応力との比較値で、容器の使用圧力の許可値ではありません。

現在選択中の方法には、操作欄の「計算式・適用条件」を使ってください。参考計算であり、設計全体の安全性を保証するものではありません。

関連する計算

What this calculator does

Find hoop and longitudinal membrane stress from pressure difference, mean diameter and thickness.

Inputs, outputs and applicability

The selected model determines which of these inputs and outputs apply. Use the working diagram and input panel above to calculate.

Inputs

  • Internal minus external pressure p (MPa / kPa / bar)
  • Mean diameter D at mid-thickness (mm / cm / m)
  • Wall thickness t (mm / cm / m)
  • Allowable membrane stress for comparison (MPa / GPa / Pa)

Calculated results

  • Hoop membrane stress (MPa)
  • Longitudinal stress for closed ends (MPa)
  • Pressure difference at hoop stress limit (MPa)
  • Mean diameter / thickness D/t (—)

Formula overview

σhoop=pD/(2t); σaxial=pD/(4t); pcompare=2tσallow/D.

Basic membrane theory for a thin closed-end cylinder under internal pressure with mean D/t ≥ 20. External-pressure buckling, weld efficiency, corrosion, openings, fatigue, temperature and pressure-vessel code certification are excluded. The pressure output is a stress comparison, not an authorized working pressure.

The displayed formula and conditions in the working panel apply to the currently selected model. Reference calculation only; it does not certify a complete design.

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