Módulo de Young

E = σ/ε. σ = F/A, ε = ΔL/L.
Created by
Renato Passos, Eng. de Software
Reviewed by
Renato Passos, Eng. de Software

Last updated: Apr 18, 2026

E (Pa)
1.00e+10

Formula

σ / ε

About this calculator

Young's Modulus, or elastic modulus, measures a material's stiffness under stress. It is calculated by dividing stress (σ) by strain (ε), where σ = F/A (force over area) and ε = ΔL/L (change in length over original length). This value indicates how resistant the material is to compression or tension, crucial in engineering and materials science.

This calculator determines Young's Modulus from experimental data: force, cross-sectional area, and deformation measurements. Input applied force, material thickness, and length changes to get results. It aids in comparing materials, structural design, or failure analysis.

Common applications include tensile tests on metals, plastics, or ceramics. For instance, in building design, the modulus of concrete and steel dictates load distribution. Note: it applies only in the elastic range (no permanent deformation) and varies with temperature and material anisotropy.

Frequently asked questions

What units should I use for force and area?

Force in newtons (N) and area in square meters (m²) are standard, though kN/cm² are acceptable if correctly converted.

How is this calculation used in engineering?

It predicts deformations in structures like bridges or towers, ensuring materials can withstand loads without collapse.

Why do results vary with temperature?

Materials expand or contract with heat, altering the stress-strain relationship and thus Young's Modulus.

Can this be applied to non-metallic materials?

Yes, as long as the material exhibits linear elasticity, such as rigid plastics or ceramics, within the test range.

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