Material StressStrain Curve
The StressStrain Curve calculator allows for the calculation of the engineering stressstrain curve of a material using the RambergOsgood 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 StressStrain Curve
The points for the engineering stressstrain curve are shown below:
Display Units:
Yield Point  Ultimate Point  

Yield Strength:  Ultimate Strength:  
Yield Strain:  Ultimate Strain: 
RambergOsgood Equation
The stressstrain curve is approximated using the RambergOsgood 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 σ 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
S_{ty}  =  
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
S_{ty}  =  
E  =  
ε_{f}  = 
where ε_{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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