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Axial stress & extension calculator

Engineering calculators (Beta)

Calculate tensile stress, strain and extension under an axial load.

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

σ = F / A, ε = σ / E, δ = F L / (A E)

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

軸方向の引張荷重と断面から応力・ひずみ・伸びを求めます。

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

  • 引張荷重 F (N / kN / mN)
  • 断面積 A (mm² / cm² / m²)
  • ヤング率 E(入力例) (GPa / MPa / Pa)
  • 長さ L (mm / cm / m)

得られる結果

  • 引張応力 σ (MPa)
  • 軸ひずみ ε (—)
  • 伸び δ (mm)

計算式の概要

σ = F / A, ε = σ / E, δ = F L / (A E)

一定断面の均質な棒を弾性域で引っ張るモデルです。応力集中・塑性変形・座屈は扱いません。

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

Calculate tensile stress, strain and extension under an axial load.

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

  • Tensile force F (N / kN / mN)
  • Area A (mm² / cm² / m²)
  • Young’s modulus E (example) (GPa / MPa / Pa)
  • Length L (mm / cm / m)

Calculated results

  • Tensile stress (MPa)
  • Axial strain (—)
  • Extension (mm)

Formula overview

σ = F / A, ε = σ / E, δ = F L / (A E)

Uniform homogeneous bar in linear-elastic tension. Stress concentrations, plasticity and buckling are excluded.

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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