Torque Transmitted By Kennedy Key Given Compressive Stress In Key Calculator

Formula Used:

\[ T = \frac{\sigma_c \times d_s \times b_k \times l}{\sqrt{2}} \]

Compressive Stress in Key (σc):

Diameter of Shaft using Key (ds):

Width of Key (bk):

Length of Key (l):

Transmitted Torque by Kennedy Key (T):

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1. What is the Kennedy Key Torque Formula?

The Kennedy Key torque formula calculates the torque transmitted by a Kennedy key based on compressive stress in the key, shaft diameter, key width, and key length. This formula is essential for mechanical engineering applications involving power transmission through shafts and keys.

2. How Does the Calculator Work?

The calculator uses the Kennedy Key torque formula:

\[ T = \frac{\sigma_c \times d_s \times b_k \times l}{\sqrt{2}} \]

Where:

\( T \) — Transmitted Torque by Kennedy Key (N·m)
\( \sigma_c \) — Compressive Stress in Key (Pa)
\( d_s \) — Diameter of Shaft using Key (m)
\( b_k \) — Width of Key (m)
\( l \) — Length of Key (m)

Explanation: The formula calculates the maximum torque that can be transmitted through a Kennedy key without exceeding the allowable compressive stress in the key material.

3. Importance of Torque Calculation

Details: Accurate torque calculation is crucial for designing mechanical power transmission systems, ensuring proper key sizing, and preventing mechanical failure due to excessive stress on key components.

4. Using the Calculator

Tips: Enter compressive stress in Pascals (Pa), shaft diameter in meters (m), key width in meters (m), and key length in meters (m). All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is a Kennedy Key?
A: A Kennedy key is a type of mechanical key used to connect rotating machine elements to shafts, preventing relative rotation while transmitting torque.

Q2: Why is compressive stress important in key design?
A: Compressive stress determines the key's ability to withstand the transmitted torque without crushing or deforming, ensuring reliable power transmission.

Q3: What units should be used for input values?
A: Use Pascals (Pa) for stress, meters (m) for all length dimensions (diameter, width, length) to maintain consistency in SI units.

Q4: What factors affect the torque transmission capacity?
A: Key material strength (compressive stress), shaft diameter, key dimensions (width and length), and the geometric relationship expressed in the formula.

Q5: When should this calculation be used?
A: This calculation is essential during mechanical design phases when selecting appropriate key sizes for shaft-hub connections in power transmission systems.