# Young's Modulus Calculator

Calculate Young's modulus from stress and strain values. Compare with rubber, steel, aluminum, and diamond. Free online material science calculator.

## What this calculates

Young's modulus (E) measures a material's stiffness, defined as the ratio of stress to strain in the elastic region: E = sigma/epsilon. A higher modulus means a stiffer material. This calculator computes Young's modulus and compares the result with common engineering materials.

## Inputs

- **Stress** (MPa) — min 0 — Engineering stress in megapascals (or compute from force/area).
- **Strain** — min 0 — Engineering strain (ΔL/L, dimensionless). Typical elastic strain: 0.0001-0.005.

## Outputs

- **Young's Modulus** (GPa) — E = σ / ε in gigapascals.
- **Young's Modulus** (MPa) — E = σ / ε in megapascals.
- **Closest Material Match** — formatted as text — Comparison with known material Young's modulus values.
- **Elastic Region Assessment** — formatted as text — Assessment of whether the strain is within typical elastic limits.

## Details

Young's modulus (also called the elastic modulus or modulus of elasticity) is a fundamental material property that quantifies resistance to elastic deformation. It is defined as E = σ/ε, where σ is stress and ε is strain. The units are the same as stress (Pa, MPa, or GPa) since strain is dimensionless.

Common values span several orders of magnitude: rubber ≈ 0.01 GPa, wood ≈ 10 GPa, aluminum ≈ 69 GPa, steel ≈ 200 GPa, and diamond ≈ 1,050 GPa. Young's modulus applies only in the linear elastic region of the stress-strain curve: the portion where Hooke's law holds and deformation is fully reversible.

Engineers use Young's modulus to predict deflection, calculate natural frequencies of structures, and select materials for specific applications. For instance, bridge cables need high modulus steel to minimize sag, while car bumpers use lower-modulus polymers to absorb impact energy through deformation.

## Frequently Asked Questions

**Q: What is the difference between Young's modulus and stiffness?**

A: Young's modulus is a material property (intrinsic), while stiffness depends on both the material and the geometry of the object. A thick rubber rod can be stiffer than a thin steel wire, even though steel has a much higher Young's modulus.

**Q: Is Young's modulus the same in tension and compression?**

A: For most metals and many materials, yes. Young's modulus is the same in tension and compression. However, some materials (like concrete and composites) behave differently: concrete is strong in compression but weak in tension.

**Q: Can Young's modulus change with temperature?**

A: Yes. Generally, Young's modulus decreases with increasing temperature as atomic bonds weaken. Steel loses about 50% of its stiffness at 600°C, which is why structural steel fails in fires.

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Source: https://vastcalc.com/calculators/physics/youngs-modulus
Category: Physics
Last updated: 2026-04-21