Yield Strength Calculator Formula
Understand the math behind the yield strength calculator. Each variable explained with a worked example.
Formulas Used
Yield Strength (0.2% offset)
yield_strength = yield_load / areaYield Strength
yield_ksi = yield_load / area * 0.145038Variables
| Variable | Description | Default |
|---|---|---|
yield_load | Load at 0.2% Offset (F)(N) | 30000 |
area | Original Cross-Sectional Area (A)(mm²) | 78.54 |
How It Works
Yield Strength (0.2% Offset Method)
Yield strength marks the transition from elastic to plastic deformation. Since many materials do not have a sharp yield point, the 0.2% offset method draws a line parallel to the elastic region, offset by 0.2% strain, and the intersection with the stress-strain curve defines yield.
Formula
sigma_y = F_yield / A_0
where F_yield is the load at the 0.2% offset intersection and A_0 is the original cross-sectional area.
Worked Example
A 10 mm diameter aluminum specimen yields at 30 kN using the 0.2% offset method.
yield_load = 30000area = 78.54
- 01Area = pi × 5² = 78.54 mm²
- 02sigma_y = 30000 / 78.54 = 382.0 MPa
- 03In ksi: 382.0 × 0.145 = 55.4 ksi
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Open Yield Strength Calculator