STRESS STRAIN CALCULATOR AND FORMULAS
Stress Strain Calculator has been developed to calculate tensile stress (or compressive stress),
normal/shear stress on any oblique section of the bar, longitudinal/lateral strain, longitudinal/lateral deflection and total strain energy.
The deformed bar under tensile stress is shown in the following figure.
If a straight bar, of any cross section, of homogeneous material, is axially
loaded , the bar elongates under tension and shortens under compression. On any
right section to the load, there is a uniform tensile (or compressive) stress.
On any oblique section, there is a uniform tensile (or compressive) normal
stress and a uniform shear stress.
Basic assumptions for the Stress Strain Calculator are:
 The loads are applied at the center of ends,
 Uniform stress distribution is occured at any section of the bar,
 The bar is constrained against buckling,
 The stress does not exceed the proportional limit.
Calculator:
OUTPUT PARAMETERS 
Parameter 
Symbol 
Value 
Unit 
Tensile Stress 
σ 



Normal Stress in any Oblique Plane 
σ_{θ} 


Shear Stress in any Oblique Plane 
τ_{θ} 


Longitudinal Strain 
ε 


 
Lateral Strain 
ε' 


Longitudinal Deflection 
δ 




Lateral Deflection 
δ' 


Total Strain Enegy 
U 



Note: Use dot "." as decimal separator.
Note: Negative stresses are compression stresses.
Supplements:
Link 
Usage 
Material Properties

Thermal expansion coefficient
and elastic modulus values of steels, aluminum alloys, cast irons, coppers and titaniums. 
List of Equations:
Parameter/Condition 
Symbol 
Equation 
Tensile Stress 
σ 
σ_{T} = P/A 
Normal Stress in any Oblique Section 
σ_{θ} 
σ_{θ} = (P/A)*cos^{2}θ 
Shear Stress in any Oblique Section 
τ_{θ} 
τ_{θ} = (P/2A)*sin2θ 
Longitudinal Strain 
ε 
ε = σ/E 
Longitudinal Deflection 
δ 
δ = (Pl)/(AE) 
Lateral Strain 
ε' 
ε' = νε 
Lateral Deflection 
δ' 
δ' = ε'd 
Reference: