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Poisson's Ratio from Axial and Lateral Strain — result sheet
Calculate Poisson's ratio and the dimensional changes of a specimen from signed axial and lateral strains.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: ν = −εₗ/εₐ; ΔL = εₐL₀; ΔW = εₗW₀.
Poisson's ratio relates the signed transverse response to the signed axial strain. Under ordinary tension a specimen lengthens axially while contracting laterally, so the minus sign commonly makes the reported ratio positive.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Axial strain εₐ — minimum -0.99; maximum 0.99
- Lateral strain εₗ — minimum -0.99; maximum 0.99
- Original axial length — m; minimum 1.0E-6; maximum 1000000
- Original lateral width — m; minimum 1.0E-6; maximum 1000000
Worked example
| Input | Value |
|---|---|
| Axial strain εₐ | 0.002 |
| Lateral strain εₗ | -0.0006 |
| Original axial length | 0.1 |
| Original lateral width | 0.05 |
ν = 0.30, ΔL = 0.0002 m, ΔW = −0.00003 m
Assumptions and limits
- The axial and lateral strains are small, uniform, and measured in perpendicular directions.
- The chosen width represents the lateral dimension to which the supplied lateral strain applies.
- The result is a kinematic ratio and does not infer elastic modulus, yield, fracture, anisotropy, or long-term creep.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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