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.

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

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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:

Reference:

• Young.W.C., Budynas.R (2011). Roark's Formulas for Stress and Strain, 8th Edition . McGraw-Hill, Chapter 7