Design Calculators - Mechanical

This calculator determines the relationship between rotational power, torque, and rotational speed for shafts in mechanical systems, incorporating factors crucial for real-world industrial applications.

Key Inputs:

• Unit System: Select Metric or Imperial units for consistency in calculations.
• Calculation Mode: Choose whether to calculate Power, Torque, or Speed.
• Rotational Speed (\(N\)): The angular velocity of the shaft, typically in Revolutions Per Minute (RPM).
• Torque (\(T\)): The rotational force at the shaft.
• Power (\(P\)): The power at the shaft.
• Efficiency (\(\eta\)): The efficiency of the power transmission system (e.g., motor-to-shaft, gear train, etc.) in percentage. Accounts for friction and other losses.
• Service Factor (\(K_s\)): A dimensionless factor chosen based on the nature of the applied load (e.g., uniform, light shock, heavy shock). It accounts for dynamic loading, shock, and vibration, crucial for sizing components appropriately for demanding industrial conditions.
• Design Factor (FoS): A dimensionless factor (also known as Factor of Safety) applied to the calculated loads to provide a margin of safety against uncertainties, material variations, and potential overloads. Typical values range from 1.5 to 3.0 or higher depending on criticality.

Calculated Outputs:

• Calculated Parameter: The primary unknown (Power, Torque, or Speed) based on your chosen calculation mode.
• Required Input Power/Torque: The power/torque that must be supplied by the prime mover (e.g., motor) to achieve the calculated shaft conditions, considering system efficiency.
• Design Power/Torque: The power/torque value that should be used for selecting and sizing components (e.g., shaft, bearings, couplings) to ensure they withstand the expected operating and dynamic loads, incorporating both the service factor and the design safety factor.