Compressive Stress in Kennedy Key Calculator

Formula Used:

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

Transmitted Torque by Kennedy Key (M_tk):

N·m

Diameter of Shaft using Key (d_s):

Width of Key (b_k):

Length of Key (l):

Compressive Stress in Key (σ_c):

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1. What is Compressive Stress in Kennedy Key?

Compressive Stress in Kennedy Key is the force per unit area of a key cross-section that is responsible for the deformation of the material such that the volume of the material reduces. It is a critical parameter in mechanical design to ensure proper power transmission between shaft and hub.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

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

Explanation: The formula calculates the compressive stress experienced by a Kennedy key based on the transmitted torque and key dimensions.

3. Importance of Compressive Stress Calculation

Details: Accurate compressive stress calculation is crucial for ensuring that the key can withstand the transmitted torque without failure, preventing mechanical failures in power transmission systems.

4. Using the Calculator

Tips: Enter transmitted torque in N·m, shaft diameter in meters, key width in meters, and key length in meters. 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, transmitting torque while preventing relative rotation.

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

Q3: What are typical materials used for Kennedy keys?
A: Common materials include mild steel, alloy steels, and sometimes stainless steel, depending on application requirements.

Q4: How does key length affect compressive stress?
A: Longer keys distribute the compressive force over a larger area, reducing compressive stress for the same transmitted torque.

Q5: What safety factors are typically used in key design?
A: Safety factors typically range from 2 to 4 depending on the application, material properties, and operating conditions.