Elastic Constants Calculator
Relates Young's modulus, shear modulus, Poisson's ratio and bulk modulus for a material.
Enter Values
Minimum 0
Minimum 0
Range 0–0.5
How to use this calculator
- Enter any two of Young's modulus E, shear modulus G and Poisson's ratio ν.
- Leave the third blank — it's calculated.
- Read all four, including the bulk modulus K.
How it works
The Elastic Constants Calculator converts between the elastic constants of an isotropic material. Any two of E, G and ν fully define the others.
E = 2G(1+ν), G = E ÷ 2(1+ν), ν = E ÷ 2G − 1, and the bulk modulus K = E ÷ 3(1−2ν). Steel is roughly E 200 GPa, G 77 GPa and ν 0.3.
Worked example
Steel: E 200 GPa, ν 0.3. G = 200 ÷ (2 × 1.3) ≈ 76.9 GPa and K = 200 ÷ (3 × 0.4) ≈ 166.7 GPa.
Frequently asked questions
What is Poisson's ratio?
It's how much a material narrows sideways when stretched, compared with how much it lengthens. Most metals are around 0.3; rubber approaches 0.5 (nearly incompressible).
Does this work for all materials?
It assumes an isotropic, linear-elastic material (the same in every direction). Composites, timber and other anisotropic materials need a fuller set of constants.
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Explore more in Structural, Materials, Mechanical & Workshop.
Cite this tool
Zerdly. (2026). Elastic Constants Calculator. Retrieved from https://www.zerdly.com/tools/elastic-constants-calculator/
Tip: Enter any known values to calculate the remaining results.
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