⚙️ Mechanical Engineering Calculators
15 calculators available
Mechanical engineering covers the design, analysis, and manufacturing of mechanical systems. Our mechanical engineering calculators provide quick solutions for common design problems including power transmission through gears and belt drives, force and torque analysis, spring design using Hooke's Law, and thermal expansion calculations for material selection and tolerance planning.
Available Calculators
Air Receiver Sizing Calculator
The Air Receiver Sizing Calculator determines stored free air, compressor cycling rate and duty cycle from receiver volume, pressure band, delivery and demand.
Bearing Life Calculator
The Bearing Life Calculator determines the ISO 281 basic rating life L10 from the dynamic load rating, equivalent load and rotational speed.
Belt Drive Calculator
The Belt Drive Calculator determines the speed ratio, output speed, required belt length and arc of contact on the smaller pulley for an open belt drive between two pulleys.
Gear Ratio Calculator
The Gear Ratio Calculator determines the ratio between two meshing gears from their tooth counts, and the resulting output speed, output torque and mechanical advantage after efficiency losses.
Heat Transfer Calculator
The Heat Transfer Calculator determines steady-state conductive heat loss through a building element, with U-value, thermal resistance and heat flux.
HVAC Duct Sizing Calculator
The HVAC Duct Sizing Calculator determines duct size from airflow and velocity, with the rectangular equivalent and the friction pressure drop.
Hydraulic Cylinder Force Calculator
The Hydraulic Cylinder Force Calculator determines extend and retract force from bore, rod diameter and pressure, with rod speeds at a given flow.
Kinetic Energy Calculator
The Kinetic Energy Calculator determines the energy and momentum of a moving mass, with the stopping force required over a given distance.
Compound Pulley Drive Calculator
The Compound Pulley Drive Calculator determines the output speed and overall ratio of a two-stage belt drive, with intermediate speed and belt speed.
Pump Power Calculator
The Pump Power Calculator determines hydraulic, shaft and electrical power for a pumping duty, together with the specific energy per cubic metre.
Shaft Deflection Calculator
The Shaft Deflection Calculator determines bending deflection, stress and support slope for a simply supported shaft carrying a central point load.
Spring Constant Calculator
The Spring Constant Calculator solves Hooke's law for whichever of force, spring constant or displacement is unknown, given the other two, and returns the elastic potential energy stored.
Thermal Expansion Calculator
The Thermal Expansion Calculator determines the change in length of a member under a temperature change, and the stress that develops if that movement is fully restrained.
Torque Calculator
The Torque Calculator determines torque either from a force acting at a radius, or from transmitted power and rotational speed, returning torque, power and angular velocity together.
V-Belt Tension Calculator
The V-Belt Tension Calculator determines effective, tight-side and slack-side tensions and the resultant shaft load for a V-belt drive.
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About Mechanical Engineering
Solve mechanical engineering problems including gear ratios, torque calculations, belt drive systems, spring constants, and thermal expansion analysis.
Frequently Asked Questions
How do you calculate gear ratio?
Gear ratio is calculated by dividing the number of teeth on the driven gear by the number of teeth on the driving gear: GR = N₂/N₁. A gear ratio greater than 1 reduces speed and increases torque, while a ratio less than 1 increases speed and reduces torque.
What is Hooke's Law?
Hooke's Law states that the force required to extend or compress a spring is proportional to the distance: F = kx, where F is force (N), k is the spring constant (N/m), and x is displacement from equilibrium (m). It applies within the elastic limit of the material.
How does thermal expansion affect engineering design?
Thermal expansion causes materials to change dimensions with temperature. Engineers must account for this in bridge expansion joints, piping systems, railway tracks, and precision machinery to prevent structural damage, binding, or excessive stress.