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Linear thermal expansion calculator

Engineering calculators (Beta)

Find free expansion or contraction due to a temperature change.

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

ΔL = α L ΔT, ε = α ΔT

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.

Calculations do not submit input values to a server. Results are not an automatic code-compliance or safety determination.

この計算で求められること

温度変化による自由な伸び・縮みを求めます。

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

  • 線膨張係数 α（入力例） (µm/(m·K) / 1/K)
  • 元の長さ L (mm / cm / m)
  • 温度変化 ΔT（冷却は負） (K / °C difference / °F difference)

得られる結果

  • 長さの変化 ΔL (mm)
  • 変化後の長さ (mm)
  • 熱ひずみ (—)

計算式の概要

ΔL = α L ΔT, ε = α ΔT

係数一定の線形膨張モデルです。自由に伸縮できる条件で、拘束による熱応力は計算しません。ΔTは絶対温度ではなく温度差です。

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 free expansion or contraction due to a temperature change.

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

  • Expansion coefficient α (example) (µm/(m·K) / 1/K)
  • Original length L (mm / cm / m)
  • Temperature change ΔT (negative for cooling) (K / °C difference / °F difference)

Calculated results

  • Length change (mm)
  • Final length (mm)
  • Thermal strain (—)

Formula overview

ΔL = α L ΔT, ε = α ΔT

Linear expansion with constant coefficient and free movement. Restraint-induced thermal stress is excluded. ΔT is a temperature difference, not an absolute temperature.

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.

Related tools

入力する単位を確認・換算する

Check and convert input units

目的から順に確認する設計ガイド

図で条件を整理してから計算し、最後に実際の部品仕様を確認します。

Purpose-based design guides

Understand conditions with diagrams, calculate, then verify actual specifications.

数値の感覚を、図と動きで確かめる

説明用の別モデルです。適用条件を確認してください。数値は自動転記しません。

See the idea in diagrams and motion

A separate explanatory model. Check its assumptions; values are not transferred.

温度差から伸びへ
  1. 1. 単位をそろえる温度の単位換算 →
  2. 2. 必要な条件で計算する熱膨張現在のページ
  3. 3. 動き・違いを図で見る温度による伸び →

元の長さ・線膨張係数・温度差を指定します。絶対温度の換算と温度差は区別します。

各ツールは別の条件で開きます。数値は自動転記されません。