Tangential Force Formula:
Definition: This calculator determines the tangential force that a key can withstand before crushing occurs, based on key dimensions and material properties.
Purpose: It helps mechanical engineers and designers ensure keys in shaft assemblies have sufficient strength to transmit torque without failure.
The calculator uses the formula:
Where:
Explanation: The formula calculates the force that would cause crushing failure by considering the key's dimensions and material strength.
Details: Proper key strength calculation ensures reliable power transmission, prevents mechanical failures, and maintains safety in rotating machinery.
Tips: Enter the key length, thickness (typically 1/6 of shaft diameter), and material crushing stress. All values must be > 0. Results include ±5% tolerance.
Q1: Why is thickness divided by 2 in the formula?
A: The force acts on half the key thickness because the crushing stress is distributed across the contact area.
Q2: What's a typical crushing stress for key materials?
A: For mild steel keys, crushing stress is typically about twice the permissible shear stress (≈100-150 MPa).
Q3: How does key length affect the result?
A: Longer keys can withstand greater forces as the load is distributed over a larger area.
Q4: What does the ±5% tolerance represent?
A: It accounts for manufacturing variations, material inconsistencies, and safety factors in practical applications.
Q5: When would I need to calculate key crushing strength?
A: Whenever designing or analyzing shaft-key assemblies for power transmission systems like gears, pulleys, or couplings.