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How to Calculate Shear Modulus

What is Shear Modulus?

Shear modulus (G) measures resistance to shear deformation: G = shear stress / shear strain; related to stiffness.

Formula

Calculate G = τ/γ
G
τ/γ — τ/γ

Step-by-Step Guide

  1. 1Input shear stress and shear strain or material properties
  2. 2Calculate G = τ/γ
  3. 3Results show shear stiffness

Worked Examples

Input
Steel: G ≈ 80 GPa
Result
Rubber: G ≈ 1 MPa (much softer in shear)

Common Mistakes to Avoid

  • Using wrong stress/strain definitions (must be shear)
  • Confusing with bending stiffness

Frequently Asked Questions

How do Young's and shear moduli relate?

G = E / (2(1+ν)) using Poisson's ratio.

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