Young's Modulus Calculator

Young's Modulus

Calculate the elastic modulus of a material based on stress and strain.

Must be ≥ 0

Must be > 0

Must be > 0

Positive (stretch) or negative (compress)

Young's Modulus (E)
20.00
GigaPascals (GPa)
Stress (σ)
10.00 MPa
Strain (ε)
0.00050

Elasticity

Young's modulus (E) is a measure of the stiffness of a solid material. It defines the relationship between stress (force per unit area) and strain (proportional deformation) in the linear elastic region.

A high Young's modulus means the material is stiff and resists deformation (e.g., Steel: ~200 GPa). A low Young's modulus means the material is flexible (e.g., Rubber: ~0.01 GPa).

The Formula

Elastic Modulus Equation

E = σ / ε = (F/A) / (ΔL/L₀)

Where σ is stress, ε is strain, F is force, A is area, ΔL is change in length, and L₀ is the original length.

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