Calculadora de Dilatação Térmica

ΔL = L₀·α·ΔT — dilatação linear por variação de temperatura.
Created by
Renato Passos, Eng. de Software
Reviewed by
Renato Passos, Eng. de Software

Last updated: Apr 18, 2026

ΔL
0,006000 m
L_f
10,0060 m

Formula

ΔL = L₀·α·ΔT

About this calculator

The thermal expansion calculator estimates the change in length of a solid material when subjected to a temperature change. The calculation is based on the formula ΔL = L₀ · α · ΔT, where ΔL is the length change, L₀ is the initial length, α is the material's linear expansion coefficient, and ΔT is the temperature difference. This tool is useful for engineers, architects, and construction professionals who need to predict deformations in structures like bridges, railway tracks, pipelines, and metal beams.

How it works: the user enters the initial length, the linear expansion coefficient (available in technical tables), and the temperature change (final minus initial). The calculator then applies the formula and returns the expected expansion or contraction. For example, an aluminum bar 10 meters long with α = 23 × 10⁻⁶ /°C, heated from 20°C to 50°C, expands approximately 6.9 mm. Results are displayed in millimeters or meters, depending on the chosen unit.

When to use? In projects involving large temperature variations, such as steam pipes, bridges in extreme climates, or when installing floors and coatings. It is also essential in physics and materials laboratories to verify thermal compatibility of components. Caveats: the coefficient α varies with temperature for some materials; for accuracy, use tabulated values in the operating range. Additionally, the formula only considers linear expansion, not volumetric or surface expansion.

Thermal expansion can cause internal stresses if expansion is constrained, leading to warping or rupture. That is why expansion joints are used in bridges and railways. This calculator provides an initial estimate; for critical applications, consult technical standards (ABNT, ASTM) and consider effects like creep or thermal hysteresis.

Frequently asked questions

What is linear thermal expansion?

It is the increase in length of a solid when its temperature rises, or the decrease when it cools. It depends on the material and the temperature change.

How do I find the linear expansion coefficient of a material?

Check technical tables of material properties, available in engineering books or online. Examples: aluminum ≈ 23×10⁻⁶ /°C, steel ≈ 12×10⁻⁶ /°C.

Does the calculator work for area or volume expansion?

No, it only calculates linear expansion. For area expansion, use ΔA = A₀·2α·ΔT; for volume expansion, ΔV = V₀·3α·ΔT.

Can I use the calculator for non-metals?

Yes, as long as you have the linear expansion coefficient. For example, concrete has α ≈ 10×10⁻⁶ /°C, glass ≈ 8×10⁻⁶ /°C.

Can thermal expansion damage structures?

Yes, if expansion is constrained, stresses can cause cracks or deformations. That is why expansion joints are used in bridges, railways, and pipelines.

Other Termodinamica calculators