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Elastic Moduli Relationship Calculator — result sheet
Calculate Young’s modulus and bulk modulus from shear modulus and Poisson’s ratio under isotropic elasticity.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: Young modulus E=2G(1+ν); bulk modulus K=E/(3(1−2ν)).
The standard isotropic linear-elastic relationships expose how the elastic constants are linked under a selected Poisson ratio.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Shear modulus G — minimum 1.0E-6; maximum 1.0E+15
- Poisson ratio ν — minimum -0.999999; maximum 0.499999
Worked example
| Input | Value |
|---|---|
| Shear modulus G | 30000000000 |
| Poisson ratio ν | 0.3 |
Young’s modulus =78 GPa; bulk modulus ≈65 GPa.
Assumptions and limits
- Shear modulus is positive and Poisson’s ratio is within the stable isotropic range.
- All moduli use one compatible pressure unit.
- Anisotropy, plasticity, porosity, damage, rate dependence, and temperature effects are not modeled.
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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