Tensile Stress in Spokes of Rimmed Flywheel Calculator

Formula Used:

\[ \sigma_{ts} = \frac{P}{b_{rim} \times t_{r}} + \frac{6 \times M}{b_{rim} \times t_{r}^2} \]

Tensile Force in Flywheel Rim (P):

Width of Rim of Flywheel (b_rim):

Thickness of Rim of Flywheel (t_r):

Bending Moment in Flywheel Spokes (M):

N·m

Tensile Stress in Spokes of Flywheel (σ_ts):

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1. What is Tensile Stress in Spokes of Flywheel?

Tensile Stress in Spokes of Flywheel can be defined as the magnitude of force per unit cross-section area of the flywheel spokes trying to elongate them. It's a critical parameter in flywheel design to ensure structural integrity.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ \sigma_{ts} = \frac{P}{b_{rim} \times t_{r}} + \frac{6 \times M}{b_{rim} \times t_{r}^2} \]

Where:

\( \sigma_{ts} \) — Tensile Stress in Spokes of Flywheel (Pa)
\( P \) — Tensile Force in Flywheel Rim (N)
\( b_{rim} \) — Width of Rim of Flywheel (m)
\( t_{r} \) — Thickness of Rim of Flywheel (m)
\( M \) — Bending Moment in Flywheel Spokes (N·m)

Explanation: The formula accounts for both direct tensile stress and bending stress components in the flywheel spokes.

3. Importance of Tensile Stress Calculation

Details: Accurate tensile stress calculation is crucial for flywheel design to prevent spoke failure, ensure operational safety, and maintain structural integrity under rotational forces.

4. Using the Calculator

Tips: Enter tensile force in Newtons, width and thickness in meters, and bending moment in Newton-meters. All values must be positive and non-zero.

5. Frequently Asked Questions (FAQ)

Q1: What causes tensile stress in flywheel spokes?
A: Tensile stress is caused by centrifugal forces and bending moments generated during flywheel rotation.

Q2: What are acceptable tensile stress values?
A: Acceptable values depend on the material used, but typically should be below the material's yield strength with appropriate safety factors.

Q3: How does rim thickness affect tensile stress?
A: Thicker rims generally reduce tensile stress as they distribute forces over a larger cross-sectional area.

Q4: What materials are commonly used for flywheel spokes?
A: Common materials include steel alloys, composite materials, and other high-strength materials with good fatigue resistance.

Q5: How does bending moment affect the calculation?
A: Bending moment contributes additional stress to the tensile stress, increasing the total stress in the spokes.