﻿ Stress-Strain Curve Calculator | MechaniCalc

The Stress-Strain Curve calculator allows for the calculation of the engineering stress-strain curve of a material using the Ramberg-Osgood equation. See the reference section for details on the methodology and the equations used.

### Material Property Inputs

Enter the material properties in either US or SI units:

### Points for Stress-Strain Curve

The points for the engineering stress-strain curve are shown below:

Display Units:

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Yield Point Ultimate Point

### Ramberg-Osgood Equation

The stress-strain curve is approximated using the Ramberg-Osgood equation, which calculates the total strain (elastic and plastic) as a function of stress:

$$\varepsilon = { \sigma \over E } + 0.002 \left( { \sigma \over S_{ty} } \right) ^ { 1 / n }$$

where $$\sigma$$ is the value of stress, $$E$$ is the elastic modulus of the material, $$S_{ty}$$ is the tensile yield strength of the material, and $$n$$ is the strain hardening exponent of the material which can be calculated based on the provided inputs.

Based on the specified material properties, the value of the strain hardening exponent, $$n$$, is:

 n   = strain hardening exponent

### Strain Values at Yield and Ultimate Strength Points

The strain value associated with the yield strength is:

 $$\varepsilon_{yield} = { S_{ty} \over E } + 0.002 =$$

Reference Values

 Sty = E =

Note that a plastic strain of 0.002 is assumed. This is consistent with the 0.2% offset method, as described here.

The strain value associated with the ultimate strength is:

 $$\varepsilon_{ult} = { S_{tu} \over E } + \varepsilon_f =$$

Reference Values

 Sty = E = εf =

where $$\varepsilon_f$$ is the plastic strain at failure and is simply the percent elongation expressed in decimal form:

 $$\varepsilon_f = { eL \over 100\% } =$$

Reference Values

 eL =

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