Length of Key Formula:
Definition: This calculator determines the appropriate length of a rectangular key based on the diameter of the shaft it will secure.
Purpose: It helps mechanical engineers and designers select the correct key size to prevent rotation of machine components on shafts.
The calculator uses the formula:
Where:
Note: The result has a tolerance of ±5% to account for manufacturing variations and practical fitting requirements.
Details: Proper key length ensures secure connection between shaft and hub, prevents slippage, and maintains power transmission efficiency.
Tips: Enter the shaft diameter in meters. The result will be calculated with ±5% tolerance. All values must be > 0.
Q1: Why is the key length 1.5 times the shaft diameter?
A: This ratio provides optimal strength and load distribution while maintaining practical installation requirements.
Q2: What does the ±5% tolerance mean?
A: The actual key length can vary by 5% above or below the calculated value to accommodate manufacturing tolerances.
Q3: When would I need a different length ratio?
A: For high-torque applications or special materials, consult engineering standards for modified ratios.
Q4: How do I measure shaft diameter accurately?
A: Use precision calipers or micrometers to measure the shaft diameter at multiple points.
Q5: Does this calculator work for all key types?
A: This specifically calculates for rectangular keys. Other key types (Woodruff, Gib-head) require different calculations.