Poissons Ratio Calculator

Poisson's Ratio Calculator

Calculate the ratio of transverse strain to axial strain for a material under loading.

Last updated: March 2026 | By ForgeCalc Engineering

Change in width / Original width

Change in length / Original length

Poisson's Ratio
0.333
Dimensionless (ν)

What is Poisson's Ratio?

Poisson's ratio, named after Siméon Poisson, is a measure of the Poisson effect, where a material tends to expand in directions perpendicular to the direction of compression (or contract when stretched). It is a fundamental property in materials science and structural engineering.

Most stable, isotropic materials have Poisson's ratio values between 0.0 and 0.5. A value of 0.5 indicates a perfectly incompressible material (like rubber), while a value of 0.0 means the material does not expand laterally when compressed (like cork). Some rare materials, called auxetics, have negative Poisson's ratios.

How to Calculate Poisson's Ratio

The Formula

ν = -ε_trans / ε_axial
  • ν (Nu) = Poisson's Ratio
  • ε_trans = Transverse Strain
  • ε_axial = Axial (Longitudinal) Strain

Step-by-Step Method

  1. Apply a load to the material in one direction (axial).
  2. Measure the change in length and calculate axial strain (ΔL/L).
  3. Measure the change in width and calculate transverse strain (Δw/w).
  4. Divide the transverse strain by the axial strain.
  5. Take the absolute value (since one is usually negative and the other positive).

Example Calculation

Testing a steel rod:

Given:
Values:
Axial Strain
0.0012 (Elongation)
Transverse Strain
-0.00036 (Contraction)

Calculation: ν = |-0.00036 / 0.0012|

Final Answer: The Poisson's ratio is 0.300.

Frequently Asked Questions

What is the Poisson's ratio for steel?

Most steels have a Poisson's ratio of approximately 0.27 to 0.30.

Can Poisson's ratio be greater than 0.5?

For standard isotropic materials, 0.5 is the theoretical upper limit. Values above 0.5 are possible for anisotropic materials (like some composites).

What does a negative Poisson's ratio mean?

It means the material gets thicker when you stretch it. These are called auxetic materials and are used in specialized applications like body armor.

Is Poisson's ratio related to Young's Modulus?

Yes, for isotropic materials, they are related via the Shear Modulus (G): G = E / (2(1 + ν)).

Related Tools