1. What is Agitator Shaft Diameter Calculation?

The agitator shaft diameter calculation determines the minimum required diameter for an agitator shaft based on applied torque and allowable shear stress. This stress-based design ensures the shaft can withstand mechanical loads without failure.

2. How Does the Calculator Work?

The calculator uses the shaft diameter formula:

Where:

• \( d \) — Shaft diameter (m)
• \( T \) — Applied torque (N·m)
• \( \tau \) — Allowable shear stress (Pa)
• \( \pi \) — Mathematical constant (3.1416)

Explanation: The formula calculates the minimum shaft diameter required to prevent shear failure under the given torque load, considering the material's shear strength.

3. Importance of Shaft Diameter Calculation

Details: Proper shaft sizing is critical for agitator design to ensure mechanical integrity, prevent shaft failure, and maintain operational safety in mixing applications.

4. Using the Calculator

Tips: Enter torque in Newton-meters (N·m) and allowable shear stress in Pascals (Pa). Both values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What is the basis of this formula?
A: This formula is derived from torsion theory for solid circular shafts, relating torque, shear stress, and shaft geometry.

Q2: What are typical shear stress values for shaft materials?
A: Typical values range from 40-100 MPa for steel shafts, depending on material grade and safety factors applied.

Q3: Does this account for fatigue loading?
A: No, this is a static stress calculation. For cyclic loading, fatigue analysis and appropriate safety factors should be considered.

Q4: Can this be used for hollow shafts?
A: No, this formula is specifically for solid circular shafts. Hollow shafts require a different calculation method.

Q5: What safety factors should be applied?
A: Typical safety factors range from 2-4 depending on application criticality, loading conditions, and material reliability.