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Calculators/Physics/Shear Modulus
Physics

Shear Modulus calculator

Stiffness of a material against sideways (shear) deformation from an applied force.

What this calculator does

Shear Modulus works out stiffness of a material against sideways (shear) deformation from an applied force. Enter your own figures above and the answer updates as you type: nothing is fixed in the code, so the result reflects exactly the numbers you supply.

The formula this calculator evaluates is printed under the tool and explained below, so you can check the working by hand or reuse it in a spreadsheet.

The formula

FormulaG = τ/γ = F·L / (A·Δx)

The inputs explained

FieldWhat to enter
Shear force (N)A number, measured in N. Starts at 5000.
Transverse length (L) (m)A number, measured in m. Starts at 0.2.
Area force acts on (m²)A number, measured in m². Starts at 0.01.
Displacement (Δx) (m)A number, measured in m. Starts at 0.0005.

Worked examples

Every figure in the tables below is produced by this page’s own calculator at build time, so the numbers and the tool always agree. Select any row to load that scenario.

How the answer changes with shear force

Every other input is held at the calculator’s starting values while shear force varies. Select any row to load that scenario into the calculator.

How the answer changes with shear force
Shear force (N)Shear modulus (G)Shear modulus (G)Shear stress (τ)
2,5000.1000 GPa1.0000e+8 Pa0.25 MPa
3,7500.1500 GPa1.5000e+8 Pa0.38 MPa
5,0000.2000 GPa2.0000e+8 Pa0.50 MPa
7,5000.3000 GPa3.0000e+8 Pa0.75 MPa
10,0000.4000 GPa4.0000e+8 Pa1.00 MPa
15,0000.6000 GPa6.0000e+8 Pa1.50 MPa