Force On Key Calculator

Force on Key Formula:

\[ F = \frac{2 \times Mt}{ds} \]

Force on Key (F):

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1. What is Force on Key?

Force on Key is the reaction force acting on a key in a machined assembly. It represents the force transmitted between the shaft and the hub through the key when torque is applied to the shaft.

2. How Does the Calculator Work?

The calculator uses the Force on Key formula:

\[ F = \frac{2 \times Mt}{ds} \]

Where:

\( F \) — Force on Key (N)
\( Mt \) — Transmitted Torque by Keyed Shaft (N·m)
\( ds \) — Diameter of Shaft using Key (m)

Explanation: The formula calculates the force acting on the key based on the transmitted torque and shaft diameter, assuming the force is uniformly distributed.

3. Importance of Force on Key Calculation

Details: Calculating the force on key is crucial for proper key design and selection. It helps ensure that the key can withstand the transmitted forces without failure, preventing mechanical failures in power transmission systems.

4. Using the Calculator

Tips: Enter the transmitted torque in Newton-meters (N·m) and the shaft diameter in meters (m). Both values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What is a key in mechanical engineering?
A: A key is a machine element used to connect a rotating machine element to a shaft, preventing relative rotation between them and enabling torque transmission.

Q2: What are common types of keys?
A: Common types include square keys, rectangular keys, woodruff keys, gib-head keys, and feather keys, each with specific applications.

Q3: How does key material affect force calculation?
A: While this calculator determines the force, material properties (strength, hardness) determine whether the key can withstand that force without failure.

Q4: What factors influence key selection?
A: Key selection depends on transmitted torque, shaft diameter, hub material, operating conditions, and required safety factors.

Q5: Are there limitations to this calculation?
A: This formula provides a simplified calculation and assumes uniform force distribution. Actual conditions may vary due to manufacturing tolerances, key fit, and dynamic loads.