Young's Modulus Calculator Formula

Understand the math behind the young's modulus calculator. Each variable explained with a worked example.

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Formulas Used

Young's Modulus

modulus_mpa = stress_val / strain_val

Young's Modulus

modulus_gpa = stress_val / strain_val / 1000

Variables

VariableDescriptionDefault
stress_valApplied Stress(MPa)200
strain_valMeasured Strain(mm/mm)0.001

How It Works

Young's Modulus (Elastic Modulus)

Young's modulus quantifies material stiffness in the linear elastic region.

Formula

E = sigma / epsilon

where sigma is the applied stress and epsilon is the resulting strain. E is measured from the initial linear portion of a tensile test stress-strain curve. Typical values: steel 200 GPa, aluminium 70 GPa, concrete 25-35 GPa, timber 8-14 GPa.

Worked Example

A tensile test specimen shows 200 MPa stress at 0.001 strain.

stress_val = 200strain_val = 0.001
  1. 01E = 200 / 0.001 = 200,000 MPa
  2. 02E = 200,000 / 1000 = 200 GPa
  3. 03This matches structural steel, confirming the specimen is steel.

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