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mechanical Calculators

Last updated: May 2026

Torque Calculator

Calculate the rotational force (torque) produced when a force is applied at a distance from a pivot point.

Gear Ratio Calculator

Calculate the gear ratio between two meshing gears from their tooth counts.

Spring Force Calculator

Calculate the restoring force a spring exerts when compressed or stretched using Hooke's Law.

Belt Length Calculator

Calculate the required belt length for a two-pulley drive system using pulley diameters and center distance.

Mechanical Advantage Calculator

Calculate the mechanical advantage of any simple machine as the ratio of output force to input force.

Shaft Power Calculator

Calculates the mechanical power transmitted through a rotating shaft given its torque and rotational speed.

Bearing Load Calculator

Computes the equivalent dynamic load on a bearing by combining radial and axial forces with an application load factor.

Friction Force Calculator

Calculates the friction force resisting relative motion between two surfaces from the normal force and the coefficient of friction.

Screw Torque Calculator

Calculates the torque needed to clamp a fastener to a target axial force, accounting for thread geometry and friction.

Pulley Speed Calculator

Calculates the output shaft speed of a belt-and-pulley system based on pulley diameters and input speed.

Torque and Power Calculator

Convert between torque, rotational speed, and mechanical power for motors, engines, and drivetrain components.

Beam Deflection Calculator

Find the maximum midpoint deflection of a simply supported or cantilever beam under a central point load.

Pressure Vessel Calculator

Compute the minimum required wall thickness for a thin-walled cylindrical pressure vessel per the ASME hoop-stress formula, including a corrosion allowance.

Pulley System Calculator

Calculate the effort force required to lift a load using fixed, movable, or compound pulley systems at a given mechanical efficiency.

Hydraulic Cylinder Calculator

Calculate the output force of a hydraulic cylinder during extension or retraction from bore diameter, rod diameter, and system pressure.

Gear Ratio Calculator

Determine the output speed and mechanical advantage of a gear pair by entering tooth counts, input RPM, and system efficiency.

Belt Drive Calculator

Calculate the driven pulley speed for a belt drive system by entering pulley diameters and the drive shaft RPM.

Torque Calculator

Compute the effective torque produced by a force applied at a given distance and angle from a pivot, accounting for system efficiency.

Spring Force Calculator

Calculate the total force exerted by a spring given its spring constant, displacement, preload force, and safety factor.

Bearing Load Calculator

Estimate the L10 bearing life in hours based on radial and axial loads, operating speed, and dynamic load rating.

Screw Thread Calculator

Determines the clamping force a threaded fastener generates from applied torque, accounting for friction.

Shaft Deflection Calculator

Calculates the midpoint or tip deflection of a rotating or static shaft under a transverse load, for both simply supported and cantilever configurations.

Hydraulic Cylinder Calculator

Computes the output force produced by a hydraulic cylinder given its bore diameter, working pressure, and mechanical efficiency.

Fan Performance Calculator

Calculates the motor power (HP) required to drive a fan based on airflow rate, static pressure, and combined fan and motor efficiencies.

Chain Drive Calculator

Calculates the output speed of a chain drive system given sprocket tooth counts, input speed, and drive efficiency.

Bearing Life Calculator

Estimate how long a rolling-element bearing will last under a given load and speed.

Belt Tension Calculator

Find the tight-side tension required in a belt drive to transmit a given power at a known belt speed.

Shaft Torque Calculator

Determine the minimum shaft diameter needed to safely transmit a given power at a specified speed and shear stress limit.

Pump Power Calculator

Calculate the shaft power a centrifugal pump motor must deliver to move fluid against a given head at a specified flow rate.

Screw Thread Calculator

Compute the tensile load capacity of a metric screw thread based on nominal diameter, pitch, material strength, and safety factor.

Heat Exchanger Calculator

Determine the Log Mean Temperature Difference (LMTD) and required heat transfer surface area for shell-and-tube heat exchangers.

Belt Drive Length Calculator

Calculate the required belt length for open or crossed two-pulley drive systems given pulley diameters and center distance.

Bearing Load Capacity Calculator

Estimate the L10 bearing fatigue life in hours given the dynamic load rating, applied load, and shaft speed.

Shaft Torque and Stress Calculator

Calculate the maximum torsional shear stress in a solid circular shaft given applied torque and shaft diameter.

Pump Power Calculator

Calculate the shaft power required to drive a pump given flow rate, total head, efficiency, and fluid type.

Pressure Vessel Wall Thickness Calculator

Determines the minimum wall thickness required for cylindrical or spherical pressure vessels under internal pressure.

Fan Airflow and Power Calculator

Calculates fan power consumption from blade swept area, rotational speed, and static pressure.

Screw Thread Stress Calculator

Calculates the shear stress on screw threads given applied force, thread geometry, and engagement length.

Flywheel Energy Storage Calculator

Calculates the usable kinetic energy stored in a flywheel between maximum and minimum operating speeds, accounting for system efficiency.

Bolt Torque Calculator

Calculates the tightening torque required to achieve a target clamp load in a bolted joint, based on bolt diameter, material strength, and friction.

Beam Deflection Calculator

Determine the maximum deflection of a simply supported beam under a concentrated point load.

Spring Rate Calculator

Compute the spring rate (stiffness) of a helical compression spring from its wire and coil geometry.

Pressure Vessel Wall Thickness Calculator

Calculate the minimum required wall thickness for a cylindrical pressure vessel shell under internal pressure, per the thin-wall design formula with a corrosion allowance.

Shaft Torque and Stress Calculator

Determine the safe torque capacity and shear stress in a rotating shaft.

Pump Head and Power Calculator

Calculate the hydraulic power required to drive a pump based on flow rate, total head (static plus friction), fluid density, and pump efficiency.

Rolling Bearing Life Calculator

Estimate how long a rolling bearing will last under real operating conditions.

Heat Exchanger Effectiveness Calculator

Calculate the actual heat transfer rate of a heat exchanger using the effectiveness-NTU method.