When to use this calculator
Relate shear modulus to Young’s modulus and Poisson’s ratio. Assumes a homogeneous isotropic linear-elastic material.
Explore the stress, strain & material response calculators for other questions in this topic. For a related calculation, use the Shear Stress Calculator: Find average shear stress over an entered area.
PUTTING IT INTO PRACTICE
Shear Modulus From Youngs Modulus: a worked example
The values below are an illustrative example, not a recommendation. Replace them with measurements or assumptions that match your question.
| Input | Example value |
|---|---|
| Young modulus (GPa) | 200 |
| Poisson ratio | 0.25 |
| Result | 80 GPa |
- Check the input labels and enter the example values above.
- Apply the relationship: Shear modulus = Young modulus/(2(1+Poisson ratio)).
- The result is 80 GPa, rounded for display.
How to interpret your result
Assumes a homogeneous isotropic linear-elastic material.
Match the load, section and units before calculating. Nominal stress omits local concentrations, instability and many real failure mechanisms. These educational relationships do not verify a design against a standard.
Frequently asked questions
Does a low nominal stress prove a component is safe?
No. Local stress, fatigue, buckling, connections, defects, environment and applicable design requirements can control the result.
When is the shear modulus from youngs modulus calculator useful?
Relate shear modulus to Young’s modulus and Poisson’s ratio. Assumes a homogeneous isotropic linear-elastic material.
How do I use the shear modulus from youngs modulus calculator?
Enter young modulus (gpa), poisson ratio. The result updates automatically. Use the units shown beside each input; the example values illustrate the method.
Which formula does this calculator use?
Shear modulus = Young modulus/(2(1+Poisson ratio)).
What should I check before using the result?
Assumes a homogeneous isotropic linear-elastic material.
How are results rounded?
Scalar numbers display up to six decimal places, with scientific notation for very large or small values. Text, fraction, date and schedule outputs use the format described on the tool. Intermediate calculations use JavaScript floating-point arithmetic. Keep sensible precision for your measurements.
Further reading
For background on this topic, see OpenStax: stress, strain and elastic modulus ↗. This is a topic reference, not an external review or endorsement of this tool.
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