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Young Modulus Calculator

Work out young modulus instantly with clear inputs, formula shown and shareable results.

About Young Modulus Calculator

Young's modulus is the slope of the elastic part of the stress-strain curve, stress divided by strain. 150 MPa producing 714 microstrain gives 210 GPa, the standard figure for steel. Because modulus is a material property, it is unaffected by the specimen's size - unlike stiffness, which also depends on geometry.

Formulas

Young's modulus

E = stress / strain

Typical values

steel 200-210 GPa, aluminium 69 GPa, concrete 30 GPa

Worked example

With the default values below, Young Modulus Calculator returns Young's Modulus of 210.084. Change any input above and every figure here is recalculated in your browser.

Inputs used

Applied stressminimum 0 MPa
150 MPa
Measured strainminimum 0
0.000714

Results

Young's Modulus
210.084 GPa
Same Modulus In Pascals
2.1008 × 10¹¹
Consistent With
Steel-like stiffness
Strain In Microstrain
714.0

Step by step

  1. 1Values used
  2. 2Young's modulus
  3. 3Typical values
  4. 4Young's Modulus= 210.084 GPa
  5. 5Same Modulus In Pascals= 210,084,000,000.0000
  6. 6Consistent With= Steel-like stiffness
  7. 7Strain In Microstrain= 714.0

Assumptions and limits

  • The result is derived only from the 2 inputs listed above. Anything not among them is not part of the calculation.
  • In particular, this calculator does not take inflation, tax, fees or charges or compounding frequency into account.
  • Figures are rounded for display to 4 decimal places, so totals built from several rounded parts can differ slightly from the unrounded arithmetic.

How these calculators are built and tested is described on the Methodology page. If a figure looks wrong, please report it.

Frequently Asked Questions

Is a stiff material also strong?

Not necessarily. Modulus measures resistance to elastic deformation; strength is the stress at which it fails. Glass is stiff but brittle.

Does heat treatment change the modulus?

Barely. Modulus depends on atomic bonding, so hardening changes strength dramatically while leaving stiffness almost untouched.

Young Modulus Calculator – Calculate Young's Modulus