Physics

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Shear Modulus Calculator.

Calculate shear modulus from shear stress and engineering shear strain.

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Results update as you type.

Shear modulus: 80,000,000,000 Pa

Shear modulus

80,000,000,000.000000Pa

Results update automatically as you type.

Use Cases

Material property estimation

Quickly estimate the shear modulus of a material from known stress and strain values, useful for engineering design and material selection.

Example: If a material has shear stress 50 MPa and strain 0.002, G = 25 GPa.

Educational verification

Verify textbook problems or lab results by computing shear modulus from measured stress and strain data.

Example: Check a sample with stress 100 kPa and strain 0.0005 gives G = 200 MPa.

Frequently Asked Questions

What is shear modulus?
Shear modulus (G) is a measure of a material's rigidity, defined as the ratio of shear stress to shear strain. It indicates how much a material deforms under shear loading.
How do I use this calculator?
Enter the shear stress in pascals (Pa) and the engineering shear strain (dimensionless). The calculator divides stress by strain to give the shear modulus in pascals.
What units should I use for shear stress?
Use pascals (Pa) for shear stress. The shear modulus will be in pascals as well. Ensure strain is dimensionless (e.g., 0.001 for 0.1% strain).

Tips & Common Mistakes

Tips

  • Ensure shear strain is dimensionless; if given as a percentage, convert to decimal (e.g., 0.5% = 0.005).
  • Use consistent units for stress and modulus; both will be in pascals.
  • For small strains, engineering strain approximates true strain well, but for large deformations consider true strain.
  • Double-check your stress value: shear stress is force per area, not normal stress.

Common Mistakes to Avoid

  • Entering strain as a percentage without converting to decimal (e.g., 5% instead of 0.05).
  • Using different units for stress and expecting modulus in another unit; convert to Pa first.
  • Confusing shear strain with normal strain; shear strain is the tangent of the deformation angle.

Last updated: August 13, 2026