# STRESS STRAIN FORMULAS CALCULATOR

Stress Strain Formula Calculator 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 according to stress and strain formulas.

Stress is average force per unit area which results strain of material. The unit of stress is N/mm2 (MPa). Strain is any forced dimension change of a material and strain is a dimensionless quantity. Stress and strain formulas for a bar under axial loading are given in the following table.

 Parameter Formula Tensile Stress [σ] σT = P/A Normal Stress in any Oblique Section [σθ] σθ = (P/A)*cos2θ Shear Stress in any Oblique Section [τθ] τθ = (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

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 and 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.

### Stress Strain Formula Calculator: INPUT PARAMETERS Parameter Value Applied Load [P] N kN lbf Cross-sectional Area (before loading) [A] mm^2 cm^2 inch^2 ft^2 Length (before loading) [l] mm cm m inch ft Lateral Dimension [d] Elastic Modulus [E] GPa ksi Poisson's Ratio [ν] --- Angle  [θ] deg

 OUTPUT PARAMETERS Parameter Value Tensile Stress [σ] --- MPa psi ksi Normal Stress in any Oblique Plane [σθ] --- Shear Stress in any Oblique Plane [τθ] --- Longitudinal Strain [ε] --- --- Lateral Strain [ε'] --- Longitudinal Deflection [δ] --- --- Lateral Deflection [δ'] --- Total Strain Enegy [U] --- J ft-lb in-lb

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.