Free engineering tools

Engineering calculators

75 free calculators for engineering design and analysis. Calculate instantly without an account. Log in only when you want to save calculations to a project.

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Mass from Density × Volume

Calculate mass from material density and physical volume.

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Density

Calculate density from mass and volume.

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Volume from Mass ÷ Density

Calculate material volume from mass and density.

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Percentage Change

Calculate percentage change between an original and a new value.

mechanics→

Force

Newton's second law: F = m × a.

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Torque

Calculate torque from perpendicular force and lever arm.

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Work

Calculate mechanical work from force and displacement.

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Mechanical Power

Calculate average power from work and elapsed time.

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Kinetic Energy

Calculate translational kinetic energy.

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Momentum

Calculate linear momentum.

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Centripetal Force

Calculate centripetal force for circular motion.

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Normal Stress

Calculate axial normal stress from force and cross-sectional area.

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Strain

Calculate engineering strain from extension and original length.

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Factor of Safety

Calculate factor of safety from allowable strength and working stress.

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Axial Deformation

Calculate elastic axial extension δ = FL / AE.

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Bending Stress

Calculate bending stress σ = My / I.

electrical→

Ohm's Law — Voltage

Calculate voltage from current and resistance.

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Ohm's Law — Current

Calculate current from voltage and resistance.

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Ohm's Law — Resistance

Calculate resistance from voltage and current.

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Electrical Power

Calculate electrical power P = VI.

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Electrical Energy

Calculate electrical energy from power and time.

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Battery Energy

Estimate nominal battery energy from voltage and capacity.

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Battery Runtime

Ideal runtime from usable capacity and average current.

aerodynamics→

Wing Loading

Calculate mass-based wing loading.

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Aspect Ratio

Calculate wing aspect ratio AR = b² / S.

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Dynamic Pressure

Calculate q = ½ρV².

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Lift

Calculate aerodynamic lift L = ½ρV²SCₗ.

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Drag

Calculate aerodynamic drag D = ½ρV²SCᴅ.

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Stall Speed

Estimate stall speed from mass, air density, wing area and Cₗmax.

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Reynolds Number

Calculate Reynolds number Re = ρVL / μ.

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Pressure

Calculate pressure from normal force over area.

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Volumetric Flow Rate

Calculate volumetric flow rate Q = Av.

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Fluid Velocity from Flow Rate

Calculate average velocity v = Q / A.

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Heat Energy

Calculate sensible heat energy Q = mcΔT.

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Linear Thermal Expansion

Calculate length change ΔL = αLΔT.

mechanics→

Weight from Mass

Convert mass to gravitational weight using standard gravity.

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Circle Area

Calculate circular area from diameter.

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Rectangle Area

Calculate rectangular area from length and width.

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Rectangular Volume

Calculate rectangular-prism volume from length, width and height.

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Cylinder Volume

Calculate cylindrical volume from diameter and length.

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Current from Power ÷ Voltage

Calculate electrical current from power and voltage.

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Resistance from Power & Current

Calculate resistance from P = I²R.

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Efficiency

Calculate output/input efficiency.

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Hydrostatic Pressure

Calculate pressure increase from fluid density and depth.

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Rectangular Second Moment of Area

Calculate the centroidal second moment of area of a rectangular section about its strong axis.

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Circular Second Moment of Area

Calculate the centroidal second moment of area of a solid circular section.

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Rectangular Section Modulus

Calculate elastic section modulus for a rectangular section about its strong axis.

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Simply Supported Beam Deflection — Centre Load

Maximum deflection of a simply supported beam with a concentrated load at midspan.

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Cantilever Deflection — End Load

Tip deflection of a cantilever beam under a concentrated end load.

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Simply Supported Beam Deflection — UDL

Maximum deflection of a simply supported beam under a uniformly distributed load.

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Euler Buckling Load

Estimate the elastic critical buckling load of a slender column.

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Solid Shaft Torsional Stress

Maximum torsional shear stress in a solid circular shaft.

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Solid Shaft Angle of Twist

Elastic twist of a solid circular shaft under torque.

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Bearing Stress

Average bearing stress at a pin, bolt or fastener interface.

electrical→

Voltage Divider

Calculate the unloaded output voltage of a two-resistor voltage divider.

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Series Resistance

Equivalent resistance of three resistors connected in series.

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Parallel Resistance — Two Branches

Equivalent resistance of two resistors connected in parallel.

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RC Time Constant

Calculate the time constant τ = RC of a first-order resistor-capacitor circuit.

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Capacitor Stored Energy

Calculate energy stored in a capacitor at a given voltage.

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Resistive Heating

Calculate Joule heating power using P = I²R.

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Battery Current from C-Rate

Calculate current associated with a battery capacity and specified C-rate.

fluids→

Mass Flow Rate

Calculate mass flow rate from fluid density and volumetric flow rate.

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Bernoulli Pressure

Estimate downstream static pressure using Bernoulli's equation including elevation change.

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Darcy–Weisbach Pressure Loss

Calculate major pressure loss along a straight pipe from Darcy friction factor.

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Hydraulic Power

Calculate ideal hydraulic power from pressure difference and volumetric flow rate.

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Orifice Flow Rate

Estimate incompressible flow through an orifice from pressure difference.

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Conduction Heat Transfer

Steady one-dimensional conduction through a uniform wall or plate.

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Convective Heat Transfer

Estimate convection heat-transfer rate using Newton's law of cooling.

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Conduction Thermal Resistance

Calculate thermal resistance through a uniform layer.

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Convection Thermal Resistance

Calculate convective thermal resistance between a surface and fluid.

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Radiative Heat Transfer

Net idealised thermal radiation exchange with a large surrounding environment.

mechanics→

Rotational Kinetic Energy

Calculate kinetic energy stored in a rotating body.

mechanics→

Spring–Mass Natural Frequency

Undamped natural frequency of a single-degree-of-freedom spring-mass system.

aerodynamics→

Lift Coefficient

Calculate aerodynamic lift coefficient from lift force, dynamic pressure and reference area.

aerodynamics→

Drag Coefficient

Calculate aerodynamic drag coefficient from drag force, dynamic pressure and reference area.

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