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Diameter Of Shaft Given Tensile Stress In Shaft Calculator

Formula Used:

\[ d = \sqrt{\frac{4 \times P_{ax}}{\pi \times \sigma_t}} \]

N
Pa

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1. What is the Diameter of Shaft Calculation?

The diameter of shaft calculation determines the appropriate shaft diameter based on axial force and tensile stress. This ensures the shaft can withstand service loads without failure.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ d = \sqrt{\frac{4 \times P_{ax}}{\pi \times \sigma_t}} \]

Where:

Explanation: The formula calculates the minimum shaft diameter required to safely withstand the applied axial tensile force without exceeding the material's tensile stress limit.

3. Importance of Shaft Diameter Calculation

Details: Proper shaft sizing is crucial for mechanical system reliability, preventing shaft failure, ensuring safety, and optimizing material usage in engineering design.

4. Using the Calculator

Tips: Enter axial force in newtons (N) and tensile stress in pascals (Pa). Both values must be positive numbers greater than zero for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: What is axial force on a shaft?
A: Axial force is the compression or tension force acting along the longitudinal axis of the shaft.

Q2: What is tensile stress in shaft design?
A: Tensile stress is the stress developed in a shaft when subjected to axial tensile forces, calculated as force per unit area.

Q3: When should this calculation be used?
A: This calculation is used during mechanical design phase to determine appropriate shaft dimensions for axial load applications.

Q4: Are there limitations to this formula?
A: This formula considers only axial tensile stress. For combined loading (torsion, bending), additional calculations are required.

Q5: What safety factors should be considered?
A: Engineering designs typically include safety factors by using reduced allowable stress values to account for uncertainties and variations.

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