MECHANICAL

Stress & Strain Calculator

σ = F/A · ε = ΔL/L · σ = E·ε · Young's modulus

MPa μstrain

Stress from Force & Area

N
mm²
Stress (σ) — MPa
Stress (psi) — psi
Stress (ksi) — ksi
σ = F / A

Stress vs force

F ↑ σ ↑ σ
Stress increases linearly with force (constant area)

Axial loading

F F Area A
σ = F / A (tensile / compressive)

Strain from length change

mm
mm
Strain (ε) — mm/mm
Microstrain (με) — µε
Percent strain — %
ε = ΔL / L₀

Strain vs ΔL

ΔL ↑ ε ↑ ε
Strain is proportional to elongation

Elongation visualization

L₀ L = L₀+ΔL ΔL
Strain = ΔL / L₀

Hooke's Law

GPa
mm/mm
Stress (σ) — MPa
Stress (psi) — psi
Stress (ksi) — ksi
σ = E × ε

Stress–strain curve

ε ↑ σ ↑ σ slope = E
Linear elastic region (Hooke's law)

Young's Modulus

MPa
mm/mm
Young's Modulus (E) — GPa
E (ksi) — ksi
E (Mpsi) — Mpsi
E = σ / ε

Common E values

MaterialE (GPa)
Steel200
Aluminum69
Copper117
Wood (pine)10
Concrete30
Young's modulus = stiffness