Home Back

Width of Key Given Shear Stress in Key Calculator

Formula Used:

\[ b_k = \frac{F}{\tau \times l} \]

N
Pa
m

Unit Converter ▲

Unit Converter ▼

From: To:

1. What is Width of Key Given Shear Stress in Key?

The width of key calculation determines the appropriate width of a mechanical key based on the applied force, shear stress capacity, and key length. This ensures the key can safely transmit torque without shearing failure.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ b_k = \frac{F}{\tau \times l} \]

Where:

Explanation: The formula calculates the minimum width required for a key to withstand the applied shear force without exceeding the material's shear stress limit.

3. Importance of Key Width Calculation

Details: Proper key sizing is essential for safe power transmission in mechanical systems. Undersized keys can lead to shear failure, while oversized keys may cause unnecessary material costs and manufacturing challenges.

4. Using the Calculator

Tips: Enter force in Newtons, shear stress in Pascals, and length in meters. All values must be positive and non-zero for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: What is a mechanical key used for?
A: Mechanical keys are used to prevent relative rotation between shafts and mounted components like gears, pulleys, and couplings.

Q2: How is force on key determined?
A: Force on key is calculated from the transmitted torque and shaft diameter: F = 2T/d, where T is torque and d is shaft diameter.

Q3: What are typical shear stress values for key materials?
A: Shear stress values vary by material: mild steel ~40-60 MPa, alloy steel ~60-100 MPa, bronze ~20-40 MPa. Always consult material specifications.

Q4: Why is key length important in this calculation?
A: Longer keys distribute the shear force over a larger area, reducing the required width for a given force and stress level.

Q5: Are there safety factors to consider?
A: Yes, engineering applications typically include safety factors of 1.5-3.0 to account for dynamic loads, material variations, and unexpected operating conditions.

Width of Key Given Shear Stress in Key Calculator© - All Rights Reserved 2025