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Physics calculator

Shear Modulus Calculator

Calculate shear modulus from shear stress and shear strain.

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How to use the shear modulus calculator

  1. Prepare the values for this calculation

    Calculate shear modulus from shear stress and shear strain. Use the formula below to check that it answers your question. Read the input units before transferring figures from a statement, measurement or dataset.

  2. Enter and check each input

    • Shear stress (Pa): enter a value at least 0. Use the unit named in the label or selected above. Do not leave this required field blank.
    • Shear strain: enter a value at least 1e-09. Use the unit named in the label or selected above. Do not leave this required field blank.

    The input table gives a complete example. Keep units and time periods consistent across related fields.

  3. Calculate and resolve any input error

    Choose Calculate after entering the values. Changes also update the answer after a short pause. If an error appears, follow its message, correct the field and calculate again. Reset restores the example values.

  4. Interpret the answer

    Check Shear modulus first. With the unchanged example inputs, it is 80,000,000,000 Pa. Interpret it using the formula and assumptions on this page.

  5. Compare and keep a useful result

    For a controlled comparison, keep every other example input unchanged and change Shear stress (Pa) from 80000000 to 88000000. The resulting Shear modulus is 88,000,000,000 Pa. This illustrates the equation’s response to that input, rather than a forecast of real events.

    Read the chart’s axis labels and data table. A scenario curve changes one stated input while holding the others fixed; it does not add external observations. Use Download graph to save an available chart as a PNG.

    Use Copy result or Download CSV to keep the answer. Share tool shares the page address without placing your input values in the URL. Recheck inputs and assumptions before using the result for a decision.

Shear Modulus Calculator formula

G=τ/γ.

Inputs and units

Inputs and example values for Shear Modulus Calculator
InputFormat / rangeExample
Shear stress (Pa)minimum 080000000
Shear strainminimum 1e-090.001

Worked example

Using the example inputs above, the shear modulus is 80,000,000,000 Pa.

Shear modulus
80,000,000,000 Pa

Results and assumptions

The output uses the shear modulus convention and formula shown above. Match the entered units and source assumptions when comparing results.

Fix an input or unexpected result

Shear stress (Pa) is required. Enter shear stress (pa) using the format and bounds in the input table. Zero and an empty field are different: use zero only if it is allowed and represents your data.

If your answer differs from the example, choose Reset and compare every field, including selected units and options. Check percentage versus decimal entry and whether values describe the same period. Round only the final displayed answer when reproducing the formula.

If a discrepancy remains, report the calculator issue with the page address, non-sensitive example inputs, actual result, expected result and a reference for your calculation.