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Shear Modulus from Stress and Strain Calculator — result sheet
Calculate an apparent shear modulus from entered shear stress and dimensionless shear strain.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: For a linear shear response, G=τ/γ; the input stress is converted from MPa to Pa before the modulus is reported.
The shear modulus is the slope relating shear stress to shear strain in a linear-elastic model. WorldCalculate keeps the measured stress and strain visible, converts the stress to pascals, and returns G in pascals, megapascals, and gigapascals. A modulus calculated from one point is an apparent slope unless the material and loading range justify the linear assumption.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Shear stress — MPa; minimum -1000000000; maximum 1000000000
- Shear strain γ — dimensionless; minimum -1000000; maximum 1000000
Worked example
| Input | Value |
|---|---|
| Shear stress | 60 |
| Shear strain γ | 0.002 |
G = 30,000 MPa = 30 GPa for 60 MPa of shear stress at γ = 0.002.
Assumptions and limits
- Shear stress is entered in MPa and shear strain is dimensionless; the strain cannot be zero because division would be undefined.
- Stress and strain use a compatible sign convention; a negative ratio can represent a reversed direction but not a positive material stiffness claim.
- The relation τ=Gγ is treated as linear over the entered point.
- Anisotropy, plasticity, damage, hysteresis, temperature, loading rate, measurement uncertainty, and nonlinear response are not modeled.
- The output is an arithmetic slope, not a certified material property or design value.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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