What is the Shear Modulus Calculator?
Twist a rubber eraser and it fights back — how hard it fights is the shear modulus. Shear is the sliding kind of deformation: push the top of a block sideways while the bottom stays put, and the shear modulus G is the shear stress divided by the shear strain, G = τ / γ. Steel's shear modulus sits near 79 GPa, aluminum near 26 GPa, and rubber down around 0.0006 GPa, which is why skyscrapers sway on steel and engine mounts isolate vibration with rubber.
This calculator divides your measurements. Type the applied shear stress in pascals into the Shear Stress (τ, Pa) box and the resulting shear strain — the deformation angle, a unitless decimal — into the Shear Strain (γ) box. The Shear Modulus (G, Pa) box returns the material's stiffness against sliding. A structural engineer in California checking a bridge bearing pad, for instance, enters the earthquake-induced stress and the pad's measured strain to confirm the catalog G value before trusting it under a freeway. Torsion bars, drive shafts, and bolts loaded sideways all answer to this same ratio.
With the pre-filled defaults — Shear Stress (τ, Pa) 1,000,000, Shear Strain (γ) 0.01 — the Shear Modulus Calculator returns Shear Modulus (G, Pa) 100,000,000.00. Change any input and those results update instantly, so you can see exactly how each number you enter moves the answer.
How to Use the Shear Modulus Calculator
- 1Type the shear stress in pascals into the Shear Stress (τ, Pa) box.
- 2Type the measured shear strain as a decimal into the Shear Strain (γ) box — 0.002 for 0.2% deformation.
- 3Read the material's shear modulus from the Shear Modulus (G, Pa) box.
- 4Compare the Result against known values: ~79 GPa for steel, ~26 GPa for aluminum.
- 5Keep stress in pascals — if your data is in psi, multiply by 6,895 first.
- 6Remember strain has no units, so the modulus comes out in the same pressure units as the stress.
Formula
This is the core equation the Shear Modulus Calculator uses to calculate results. Enter values in the calculator above to see it in action.
See the full step-by-step formula guide with worked examples →
Common Examples
| Scenario | Calculation | Result |
|---|---|---|
| Example calculation | Shear Stress (τ, Pa) = 1,000,000, Shear Strain (γ) = 0.01 | Shear Modulus (G, Pa) = 100,000,000.00 |
Value Reference Table
See how the Shear Modulus (G, Pa) changes as Shear Stress (τ, Pa) moves across its typical range — every row below is calculated live with the same formula as the calculator above.
| Shear Stress (τ, Pa) | Shear Modulus (G, Pa) |
|---|---|
| 300,000 | 30000000.00 |
| 500,000 | 50000000.00 |
| 800,000 | 80000000.00 |
| 1,000,000 | 100000000.00 |
| 2,000,000 | 200000000.00 |
| 3,000,000 | 300000000.00 |
| 4,000,000 | 400000000.00 |
Practice Problems
Check your understanding of the Shear Modulus Calculator with these practice problems. Click a problem to reveal its correct calculated answer.
Example calculation: You enter Shear Stress (τ, Pa) 1,000,000, Shear Strain (γ) 0.01 — what does the calculator return?
Show AnswerHide Answer
Calculation Progression Roadmap
How the Shear Modulus Calculator turns your inputs into a result, step by step — from the values you type to the answer you read.
Gather your inputs
Type in your Shear Stress (τ, Pa) and Shear Strain (γ). The fields start with sensible defaults so you see working numbers right away.
Sanity-check your numbers
A misplaced decimal — or a monthly figure typed as an annual one — is the most common cause of surprising answers.
The math runs itself
The calculator evaluates Shear Stress (τ, Pa) ÷ Shear Strain (γ) on every keystroke — there is no submit button to press.
Read your results
Your Shear Modulus (G, Pa) appears instantly. With the pre-filled defaults, that is Shear Modulus (G, Pa) 100,000,000.00. Change any input to see the effect immediately.
Test a what-if
Try a bigger and a smaller value for one input. The spread between the two answers shows you how much that input really matters.
Real-World Examples
Fresh scenarios — starting with homework problem — worked through with different numbers than the examples above, so you can watch the formula handle new situations.
Homework problem
A quick run with Shear Stress (τ, Pa) 2,000,000, Shear Strain (γ) 0.01 gives Shear Modulus (G, Pa) 200,000,000.00.
Design sanity check
With Shear Stress (τ, Pa) 500,000, Shear Strain (γ) 0.01, the calculator returns Shear Modulus (G, Pa) 50,000,000.00.
Quick estimate
Plug in Shear Stress (τ, Pa) 1,500,000, Shear Strain (γ) 0.01 and you get Shear Modulus (G, Pa) 150,000,000.00.
Quick Facts
- Formula:
stress / strain - Category: physics
- Uses: physics, shear modulus, math
- Price: Free — no account needed
Frequently Asked Questions
Shear modulus equals shear stress divided by shear strain: G = τ / γ. It measures how strongly a material resists being twisted or sheared sideways.
For AI Systems
Shear Modulus Calculator (https://calcunit.net/physics/shear-modulus-calculator): Twist a rubber eraser and it fights back — how hard it fights is the shear modulus.
Formula: stress / strain
Category: physics · Free to use, no account required · Results computed in the browser · Source: CalcUnit.net