Torque Transmitted By Kennedy Key Given Shear Stress In Key Calculator

Formula Used:

\[ \text{Transmitted Torque by Kennedy Key} = \text{Shear Stress in Key} \times \sqrt{2} \times \text{Diameter of Shaft using Key} \times \text{Width of Key} \times \text{Length of Key} \]

Shear Stress in Key (τ):

Diameter of Shaft using Key (ds):

Width of Key (bk):

Length of Key (l):

Transmitted Torque by Kennedy Key (Mtk):

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1. What is Torque Transmitted by Kennedy Key?

The Torque Transmitted by Kennedy Key is defined as the amount of torque or the rotating power transferred from a shaft using a Kennedy key into it. This calculation is essential in mechanical engineering for designing and analyzing power transmission systems.

2. How Does the Calculator Work?

The calculator uses the Kennedy Key torque formula:

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

Where:

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

Explanation: The formula calculates the torque transmission capacity of a Kennedy key based on the shear stress it can withstand and its geometric dimensions.

3. Importance of Torque Calculation

Details: Accurate torque calculation is crucial for ensuring that mechanical components can safely transmit the required power without failure. It helps in proper sizing of keys and shafts in power transmission systems.

4. Using the Calculator

Tips: Enter shear stress in Pascals (Pa), diameter in meters (m), width in meters (m), and length in meters (m). All values must be positive and non-zero.

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 allowing torque transmission.

Q2: Why is the √2 factor included in the formula?
A: The √2 factor accounts for the specific geometry and stress distribution characteristics of Kennedy keys under torsional loading.

Q3: What are typical shear stress values for keys?
A: Shear stress values depend on the material. Common key materials have allowable shear stresses ranging from 40-100 MPa for steel keys.

Q4: How does key length affect torque transmission?
A: Longer keys can transmit more torque as the shear stress is distributed over a larger area, reducing the stress concentration.

Q5: When should Kennedy keys be used instead of other key types?
A: Kennedy keys are particularly useful in applications requiring high torque transmission and where space constraints may limit key size.