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Strain & Hooke’s Law Calculator

Calculates dimensionless mechanical strain, elongation percentage, and Hooke’s law linear elastic stress.

Elastic Elongation & Hooke's Law Solver

Engineering Strain & Stress

Computes dimensionless elongation strain ε = ΔL / L₀ and linearly elastic stress σ = E · ε via Young's modulus.

Original L₀ (mm)1.00 m

Elongation ΔL (mm)1200 µm

Young's E (GPa)29008 ksi

Poisson's Ratio νLateral

Hooke's Elastic Extension & Poisson Lateral Thinning

Engineering Strain (ε = ΔL / L₀)

0.12% (1,200 µε)

Dimensionless fraction: 0.0012

Hooke's Law Stress (σ = E·ε)240 MPa34.81 ksi

Lateral Strain (ε_lat = -ν·ε)-0.0336%-0.000336

Resilience Strain Energy144 kJ/m³Energy stored in elastic volume

Step-by-Step Engineering Derivation

Axial Strain ε = ΔL / L₀ = 1.2 mm / 1000 mm = 0.0012 (0.12% or 1200 με)

Hooke's Law Elastic Stress σ = E · ε = (200 × 10³ MPa) × 0.0012 = 240 MPa

Lateral Strain ε_lat = -ν · ε = -(0.28) × 0.0012 = -0.000336

Strain is the normalized measure of deformation representing the displacement between particles in a body relative to a reference length.

ε = ΔL / L₀, σ = E · ε (Hooke’s Law)

Linear engineering strain and elastic proportionality with Young’s modulus E.

Example 1

Solution: Strain ε = 0.001200 (0.12%, 1,200 με), Stress σ = 240.00 MPa

• ε = 1.2 / 1000 = 0.0012; σ = 200,000 MPa × 0.0012 = 240 MPa

Input L0 and ΔL in mm.

Input material modulus E in GPa.

Review microstrain (με) and elastic stress.

Microstrain is strain multiplied by 10⁶, commonly used in engineering sensor telemetry.