Diameter Of Shaft Given Compressive Stress In Kennedy Key Calculator

Formula Used:

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

Transmitted Torque by Kennedy Key (Mtk):

N·m

Compressive Stress in Key (σc):

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 using Key Formula?

The Diameter of Shaft using Key formula calculates the required shaft diameter based on transmitted torque, key dimensions, and compressive stress. This ensures the shaft can safely transmit torque without key failure due to excessive compressive stress.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

\( ds \) — Diameter of shaft (m)
\( Mtk \) — Transmitted torque by Kennedy Key (N·m)
\( \sigma_c \) — Compressive stress in key (Pa)
\( bk \) — Width of key (m)
\( l \) — Length of key (m)

Explanation: The formula calculates the minimum shaft diameter required to prevent key failure under compressive stress when transmitting a specific torque.

3. Importance of Shaft Diameter Calculation

Details: Proper shaft diameter calculation is crucial for mechanical design to ensure safe torque transmission, prevent key failure, and maintain system reliability in power transmission applications.

4. Using the Calculator

Tips: Enter transmitted torque in N·m, compressive 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 parallel key used to connect rotating machine elements to shafts, transmitting torque through compressive forces.

Q2: Why is compressive stress important in key design?
A: Compressive stress determines whether the key can withstand the transmitted torque without crushing or deforming under load.

Q3: What are typical values for compressive stress in keys?
A: Compressive stress values vary by material, but typically range from 70-140 MPa for steel keys in general engineering applications.

Q4: How does key length affect shaft diameter?
A: Longer keys allow for smaller shaft diameters as they distribute compressive stress over a larger area, reducing stress concentration.

Q5: When should this calculation be used?
A: This calculation is essential during mechanical design phase when sizing shafts and keys for power transmission systems to ensure safety and reliability.