Mechanical Calculators | Free Online Engineering Calculation Tools

Calculate maximum deflection, slope, and bending moment of beams under various loads. Step-by-step solutions with SI units included.

Calculate deflection, bending stress, slope, and bending moment for cantilever beams under point or distributed loads. Step-by-step solutions included.

Calculate bending stress, deflection, slope, and bending moment for simply supported beams under point or distributed loads. Step-by-step solutions included.

Calculate joint forces, member forces, and support reactions for planar trusses. Step-by-step solutions using the method of joints or sections are included.

Calculate shear force, bending moment, and maximum stress in beams under point or distributed loads. Step-by-step solutions with diagrams included.

Calculate axial stress, strain, and elongation of rods or columns under axial loads. Step-by-step formulas included for tension and compression members.

Calculate stress, strain, or Young’s modulus using Hooke’s Law. Step-by-step formulas included for rods, beams, shafts, and elastic materials under axial load.

Calculate force using mass and acceleration (F = m × a). Step-by-step solutions for physics problems, mechanical systems, and engineering applications.

Compute centripetal force, required tension, or radius for circular motion using Fc = mv^2/r or Fc = mw^2/r. Ideal for students and engineers.

Calculate force, mass, or acceleration using Newton’s second law (F = m·a). Supports unit conversions for N, kg, m/s², and g for quick physics solutions.

Calculate the gravitational force between two masses using Newton’s law of gravitation. Step-by-step solutions for planets, objects, and space applications.

Calculate torque, shear stress, and angle of twist in circular shafts under torsion. Step-by-step formulas included for solid and hollow shafts.

Design shafts by calculating torque, bending stress, torsional stress, combined stress, and factor of safety. Step-by-step formulas included for rotating shafts.

Calculate key dimensions, shear stress, compressive stress, and torque capacity. Step-by-step formulas included for square, rectangular, and Woodruff keys.

Calculate coupling dimensions, transmitted torque, misalignment capacity, and stress. Step-by-step formulas included for rigid and flexible couplings.

Calculate torque easily using force and lever arm distance. Our Torque Calculator helps engineers and mechanics determine rotational force in seconds.

Calculate torque, force, or lever arm using T = F × r. Supports unit conversions for N·m, kg·m, and various force and distance units.

Calculate power, work, or energy over time. Supports mechanical (P = W/t), electrical (P = V·I), and unit conversions for watts, joules, volts, and amps.

Calculate gyroscopic torque, precession rate, or angular momentum using I, ω, and applied force. Supports SI units and step-by-step solutions.

Calculate crank angle, slider displacement, connecting rod angle, and velocity in a slider-crank mechanism. Step-by-step solutions with SI units included.

Calculate crank angles, stroke lengths, forward/reverse stroke times, and velocity ratios in quick return mechanisms. Step-by-step solutions included.

Calculate acceleration using initial velocity, final velocity, and time. Ideal for physics students, engineers, and motion analysis applications.

Calculate your arrow’s speed using draw weight, arrow mass, and draw length. Ideal for archers, hunters, and bow tuners to improve shooting accuracy.

Instantly compute a projectile’s ballistic coefficient (BC) from mass, diameter, and form factor. Essential for shooters, ballistics analysts, and reloading computations.

Calculate how far a car can jump based on speed, ramp angle, and height. Perfect for physics projects, racing simulations, and stunt performance analysis.

Quickly compute total and individual momenta before and after interactions. Supports 1D/2D collisions, elastic/inelastic cases, and vector inputs for accurate momentum analysis.

Calculate displacement from initial and final positions or vectors. Supports 1D and 2D motion, showing magnitude and direction for physics and engineering analysis.

Calculate projectile motion parameters like range, time, and height using speed and angle. Ideal for physics students, engineers, and trajectory analysis.

Calculate displacement, velocity, acceleration, and time in simple harmonic motion. Ideal for physics students, engineers, and vibration analysis.

Calculate the relative velocity between moving objects easily. This Relative Velocity Calculator helps students and engineers analyze motion accurately.

Calculate velocity instantly using distance and time. This Velocity Calculator helps students, engineers, and physics enthusiasts analyze motion accurately.

Quickly compute velocity, acceleration, displacement, and time using easy inputs. Ideal for students and engineers — supports constant acceleration, initial velocity, and kinematic equations.

Easily calculate distance, time, or speed for uniform motion where velocity is constant. Ideal for physics students and engineers.

Calculate velocity, acceleration, and displacement for non-uniform motion where speed changes with time. Perfect for advanced physics and engineering problems.

Easily calculate projectile range, maximum height, flight time, and velocity from any launch angle or initial speed. Perfect for students and engineers.

Quickly compute angular velocity, convert between rad/s, deg/s, and RPM, and relate angular speed to linear velocity using radius. Perfect for engineers and students.

Calculate angular acceleration (α), change in angular velocity (Δω), and time using rotational kinematics. Converts units and links α to torque and moment of inertia.

Calculate displacement, velocity, acceleration, period, frequency, and energy in simple harmonic motion using mass-spring or pendulum formulas.

Compute momentum, impulse, or force using p = m·v and J = F·Δt. Supports SI and common units for mass, velocity, force, and time.

Calculate initial or final velocities, masses, or momentum using conservation of momentum. Supports elastic, inelastic, and two-body collision scenarios.

Calculate angular momentum, moment of inertia, or angular velocity using L = I × ω. Supports SI units and step-by-step rotational motion solutions.

Calculate flywheel diameter, mass, moment of inertia, torque, and energy storage. Step-by-step formulas included for safe and efficient flywheel design.

Calculate internal energy, heat transfer, and work done using the first law of thermodynamics. Step-by-step solutions for closed and open systems.

Calculate entropy change, thermal efficiency, and reversible/irreversible process parameters. Step-by-step solutions for engines, refrigerators, and turbines.

Calculate maximum thermal efficiency of a Carnot engine using hot and cold reservoir temperatures. Step-by-step solutions for ideal thermodynamic cycles.

Calculate thermal efficiency of Rankine cycle using boiler, condenser, and turbine parameters. Step-by-step solutions for steam power plants and turbines.

Calculate the thermal efficiency of an Otto cycle engine using compression ratio and specific heat ratio. Step-by-step solutions for ideal spark-ignition engines.

Calculate the thermal efficiency of an ideal Diesel cycle using compression ratio, cutoff ratio, and specific heat ratio. Step-by-step solutions for CI engines.

Calculate the thermal efficiency of an ideal Brayton cycle using the pressure ratio and specific heat ratio. Step-by-step solutions for gas turbines and jet engines.

Calculate the COP of refrigeration and air conditioning cycles using evaporator and condenser temperatures. Step-by-step solutions for ideal vapor-compression cycles.

Calculate the effectiveness of heat exchangers using NTU, heat capacity rates, and temperature differences. Step-by-step solutions for shell-and-tube and plate exchangers.

Calculate linear, area, and volumetric thermal expansion of materials using temperature change and expansion coefficients. Step-by-step solutions for metals, solids, and liquids.

Calculate system efficiency, entropy change, and energy transfer using the Second Law of Thermodynamics. Ideal for engineers, students, and thermodynamic analysis.

Calculate how materials expand or contract with temperature using our Thermal Expansion Calculator. Works for linear, area, and volumetric expansion.

Easily calculate work and energy using force, distance, and power. This Work and Energy Principle Calculator simplifies mechanical energy analysis for students and engineers.

Calculate work, kinetic energy, potential energy, or force using the work-energy principle. Supports unit conversions for J, N·m, kg, m, and m/s².

Compute kinetic energy, potential energy, or total mechanical energy using mass, velocity, height, and gravity. Supports SI units and step-by-step solutions.

Compute enthalpy change, heat transfer, and total energy of substances using temperature, pressure, and specific heat. Step-by-step solutions for thermodynamics.

Calculate rotation angle, indexing step, and angular velocity of Geneva drive mechanisms. Step-by-step solutions with SI units and velocity ratios included.

Calculate gear ratios, output speed, torque, and angular velocity for spur, bevel, or planetary gears. Step-by-step solutions with SI units included.

Design spur gears by calculating gear ratio, number of teeth, pitch circle diameter, module, and center distance. Step-by-step formulas included.

Design helical gears by calculating gear ratio, number of teeth, helix angle, module, pitch circle diameter, and center distance. Step-by-step formulas included.

Design worm gears by calculating gear ratio, number of teeth, module, pitch diameter, lead angle, and center distance. Step-by-step formulas included.

Design bevel gears by calculating gear ratio, number of teeth, module, pitch diameter, and shaft angle. Step-by-step formulas included for accurate gear design.

Calculate gear ratios, speed ratios, and mechanical advantage for spur, helical, and bevel gears. Step-by-step solutions for engineering and mechanical design.