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Agitator Shaft Dia Calculation

Agitator Shaft Diameter Formula:

\[ d = \left( \frac{16 T}{\pi \tau} \right)^{1/3} \]

Nm
Pa

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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 material shear stress. This ensures the shaft can withstand mechanical loads without failure.

2. How Does the Calculator Work?

The calculator uses the shaft diameter formula:

\[ d = \left( \frac{16 T}{\pi \tau} \right)^{1/3} \]

Where:

Explanation: The formula calculates the minimum shaft diameter required to withstand the applied torque while staying within the material's allowable shear stress limits.

3. Importance of Shaft Diameter Calculation

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

4. Using the Calculator

Tips: Enter torque in Newton-meters (Nm) and shear stress in Pascals (Pa). Both values must be positive numbers greater than zero for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: What is the typical range for agitator shaft diameters?
A: Shaft diameters typically range from 25mm to 300mm depending on agitator size and application requirements.

Q2: How do I determine the allowable shear stress for my material?
A: Allowable shear stress is typically 0.5-0.6 times the material's yield strength, but consult material specifications and safety codes for exact values.

Q3: What factors affect torque calculation for agitators?
A: Torque depends on impeller type, fluid viscosity, rotational speed, tank geometry, and baffle configuration.

Q4: Should safety factors be applied to the calculated diameter?
A: Yes, typically a safety factor of 1.5-3.0 is applied to account for dynamic loads, fatigue, and unexpected operating conditions.

Q5: Can this formula be used for other rotating shafts?
A: Yes, this formula applies to any solid circular shaft subjected to pure torsion, though additional factors may be needed for combined loading.

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