Home Back

Poisson's Ratio Given Circumferential Strain Calculator

Formula Used:

\[ Poisson's\ Ratio = \frac{1}{2} - \frac{(Circumferential\ strain \times (2 \times Thickness \times Modulus\ of\ Elasticity))}{(Internal\ Pressure \times Inner\ Diameter)} \]

(unitless)
m
Pa
Pa
m

Unit Converter ▲

Unit Converter ▼

From: To:

1. What is Poisson's Ratio?

Poisson's Ratio is defined as the ratio of the lateral and axial strain. For many metals and alloys, values of Poisson's ratio range between 0.1 and 0.5. It's a fundamental material property that describes how a material deforms when subjected to stress.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ Poisson's\ Ratio = \frac{1}{2} - \frac{(Circumferential\ strain \times (2 \times Thickness \times Modulus\ of\ Elasticity))}{(Internal\ Pressure \times Inner\ Diameter)} \]

Where:

3. Importance of Poisson's Ratio Calculation

Details: Poisson's ratio is crucial for understanding material behavior under stress, predicting deformation patterns, and designing structures that can withstand various loading conditions.

4. Using the Calculator

Tips: Enter all values in the specified units. Ensure thickness, modulus of elasticity, internal pressure, and inner diameter are positive values to avoid calculation errors.

5. Frequently Asked Questions (FAQ)

Q1: What is the typical range for Poisson's Ratio?
A: For most materials, Poisson's ratio ranges between 0.0 and 0.5. Most metals have values between 0.25-0.35.

Q2: Can Poisson's Ratio be negative?
A: Yes, some materials called auxetic materials have negative Poisson's ratio, meaning they expand laterally when stretched.

Q3: Why is Poisson's Ratio important in engineering?
A: It helps predict how materials will deform under stress, which is essential for structural design and material selection.

Q4: How does temperature affect Poisson's Ratio?
A: For most materials, Poisson's ratio remains relatively constant with temperature changes, though some materials may show variations.

Q5: What units are used for the input parameters?
A: Thickness and diameter in meters, pressure and modulus of elasticity in Pascals, strain is unitless.

Poisson's Ratio Given Circumferential Strain Calculator© - All Rights Reserved 2025