Diameter of Shaft Given Shear Stress in Kennedy Key Calculator

Formula Used:

\[ ds = \frac{Mtk}{\sqrt{2} \times \tau \times bk \times l} \]

Transmitted Torque by Kennedy Key (Mtk):

N·m

Shear Stress in Key (τ):

Width of Key (bk):

Length of Key (l):

Diameter of Shaft using Key (ds):

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1. What is the Diameter of Shaft Given Shear Stress in Kennedy Key?

The Diameter of Shaft using Kennedy Key is calculated based on the transmitted torque, shear stress in the key, and key dimensions. It determines the appropriate shaft diameter to safely transmit torque without key failure.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ ds = \frac{Mtk}{\sqrt{2} \times \tau \times bk \times l} \]

Where:

\( ds \) — Diameter of Shaft using Key (m)
\( Mtk \) — Transmitted Torque by Kennedy Key (N·m)
\( \tau \) — Shear Stress in Key (Pa)
\( bk \) — Width of Key (m)
\( l \) — Length of Key (m)

Explanation: The formula calculates the minimum shaft diameter required to safely transmit the given torque while maintaining the shear stress in the key within acceptable limits.

3. Importance of Shaft Diameter Calculation

Details: Proper shaft diameter calculation ensures mechanical integrity, prevents key failure, and maintains safe operation of rotating machinery under specified torque conditions.

4. Using the Calculator

Tips: Enter transmitted torque in N·m, shear stress in Pa, and key dimensions in meters. All values must be positive and non-zero for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: What is a Kennedy Key?
A: A Kennedy key is a type of machine key that transmits torque between a shaft and hub through shear resistance.

Q2: Why is shear stress important in key design?
A: Shear stress determines the key's ability to withstand transmitted torque without failure, ensuring reliable power transmission.

Q3: What factors affect shaft diameter calculation?
A: Torque magnitude, allowable shear stress, and key dimensions are the primary factors in shaft diameter determination.

Q4: How does key length affect shaft diameter?
A: Longer keys distribute shear stress over a larger area, potentially allowing for smaller shaft diameters for the same torque transmission.

Q5: What safety factors should be considered?
A: Appropriate safety margins should be applied to calculated shear stresses to account for dynamic loads, material variations, and operating conditions.