1. What is Radial Stress?

Radial Stress is the stress component acting in the radial direction of a disc or cylindrical object. It is induced by bending moments or other loads and is perpendicular to the circumferential direction.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( \sigma_r \) — Radial Stress (Pascal)
• \( e_r \) — Radial Strain (unitless)
• \( E \) — Modulus of Elasticity (Pascal)
• \( \mu \) — Poisson's Ratio (unitless)
• \( \sigma_c \) — Circumferential Stress (Pascal)

Explanation: This formula calculates radial stress by combining the elastic contribution from radial strain and the effect of circumferential stress through Poisson's ratio.

3. Importance of Radial Stress Calculation

Details: Accurate calculation of radial stress is crucial for structural analysis of rotating discs, pressure vessels, and other cylindrical components to prevent failure and ensure structural integrity.

4. Using the Calculator

Tips: Enter radial strain (unitless), modulus of elasticity (Pascal), Poisson's ratio (between 0-0.5), and circumferential stress (Pascal). All values must be valid non-negative numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is radial strain?
A: Radial strain is the deformation per unit length in the radial direction, representing how much a material stretches or compresses radially.

Q2: What is Poisson's ratio?
A: Poisson's ratio is a material property that describes the ratio of lateral strain to axial strain when a material is stretched or compressed.

Q3: When is this formula applicable?
A: This formula is applicable for isotropic materials under elastic deformation conditions in disc or cylindrical structures.

Q4: What are typical values for Poisson's ratio?
A: For most metals and alloys, Poisson's ratio ranges between 0.25 and 0.35. Rubber-like materials can have values close to 0.5.

Q5: How does circumferential stress affect radial stress?
A: Through Poisson's effect, circumferential stress induces radial strain, which contributes to the overall radial stress in the material.