Maximum Radial or Tensile Stress in Flywheel Calculator

Maximum Radial Tensile Stress Formula:

\[ \sigma_{t,max} = \rho \times V_{peripheral}^2 \times \frac{(3 + \mu)}{8} \]

Maximum Radial Tensile Stress:

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What is Maximum Radial Tensile Stress in Flywheel?

Maximum radial tensile stress in a flywheel is the highest stress value experienced in the radial direction when the flywheel is rotating at high speeds. It's a critical parameter in flywheel design to ensure structural integrity and prevent failure.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ \sigma_{t,max} = \rho \times V_{peripheral}^2 \times \frac{(3 + \mu)}{8} \]

Where:

\( \sigma_{t,max} \) — Maximum radial tensile stress (Pa)
\( \rho \) — Mass density of flywheel material (kg/m³)
\( V_{peripheral} \) — Peripheral speed of flywheel (m/s)
\( \mu \) — Poisson's ratio for flywheel material

Explanation: This formula calculates the maximum stress experienced at the center of a rotating disc (flywheel) considering material properties and rotational speed.

3. Importance of Maximum Radial Tensile Stress Calculation

Details: Accurate stress calculation is crucial for flywheel design to prevent material failure, ensure safety, optimize material usage, and achieve desired performance characteristics in energy storage systems.

4. Using the Calculator

Tips: Enter mass density in kg/m³, peripheral speed in m/s, and Poisson's ratio (typically between 0.2-0.3 for metals). All values must be positive with Poisson's ratio between 0-0.5.

5. Frequently Asked Questions (FAQ)

Q1: Why is maximum radial tensile stress important in flywheel design?
A: It determines if the flywheel material can withstand the centrifugal forces without failure, ensuring safety and reliability of the energy storage system.

Q2: What is a typical Poisson's ratio for flywheel materials?
A: For most metals used in flywheels (steel, aluminum), Poisson's ratio typically ranges from 0.27 to 0.33.

Q3: How does peripheral speed affect the stress?
A: Stress increases with the square of peripheral speed, making speed the most critical factor in stress calculation.

Q4: What materials are commonly used for flywheels?
A: Common materials include various steel alloys, aluminum alloys, and composite materials, each with different density and Poisson's ratio values.

Q5: How does this relate to flywheel energy storage capacity?
A: Higher peripheral speeds allow more energy storage but increase stress, requiring careful material selection and design optimization.