Engineering Calculators
Structural, fluid mechanics, mechanical, electrical, aerospace, and process engineering calculators.
Beam Deflection Calculator
Compute the maximum midspan deflection of a simply supported beam under a uniform distributed load.
Beam Stress Calculator
Determine the maximum bending stress in a beam from applied moment and section properties.
Column Buckling Calculator
Find the critical buckling load of a column using the Euler buckling equation.
Moment of Area Calculator
Calculate the second moment of area (moment of inertia) for a rectangular cross-section about its centroidal axis.
Section Modulus Calculator
Compute the elastic section modulus of a rectangular cross-section for beam design.
Shear Stress Calculator
Calculate the average shear stress acting on a cross-section from an applied shear force.
Bending Moment Calculator
Find the maximum bending moment for a simply supported beam with a uniform distributed load.
Truss Force Calculator
Estimate the axial force in the bottom chord of a parallel-chord Pratt truss under uniform loading.
Tensile Stress Calculator
Calculate the direct tensile stress in a member from applied axial force and cross-sectional area.
Compressive Stress Calculator
Determine the compressive stress on a member subjected to an axial compressive force.
Young's Modulus Calculator
Compute Young's modulus (elastic modulus) from measured stress and strain values.
Strain Calculator
Calculate engineering strain from the change in length and original length of a member.
Poisson's Ratio Calculator
Determine Poisson's ratio from measured lateral and axial strains during a uniaxial test.
Factor of Safety Calculator
Calculate the factor of safety by comparing material strength to applied stress or ultimate load to working load.
Weld Strength Calculator
Estimate the load capacity of a fillet weld based on weld size, length, and allowable shear stress.
Bolt Torque Calculator
Calculate the required tightening torque for a bolt to achieve a target preload (clamp force).
Bearing Load Calculator
Calculate the bearing pressure between two surfaces from applied force and contact area.
Spring Constant Calculator
Find the spring constant (stiffness) of a helical compression spring from its material and geometry.
Spring Force Calculator
Compute the force exerted by a spring at a given displacement using Hooke's law.
Natural Frequency Calculator
Determine the natural frequency of a single-degree-of-freedom spring-mass system.
Reynolds Number Calculator
Calculate the Reynolds number for pipe flow to determine whether flow is laminar or turbulent.
Bernoulli's Equation Calculator
Apply Bernoulli's principle to find the velocity or pressure at a second point along a streamline.
Flow Rate Calculator
Calculate volumetric and mass flow rate from pipe diameter and flow velocity.
Pipe Velocity Calculator
Find the average flow velocity inside a pipe given the volumetric flow rate and pipe diameter.
Head Loss Calculator
Calculate friction head loss in a pipe using the Darcy-Weisbach equation.
Hydraulic Diameter Calculator
Compute the hydraulic diameter of a rectangular duct or non-circular conduit for fluid flow analysis.
Pump Power Calculator
Determine the power required to drive a pump for a given flow rate and total head.
Buoyancy Force Calculator
Calculate the buoyant force on a submerged object using Archimedes' principle.
Viscosity Calculator
Convert between dynamic and kinematic viscosity using the fluid density.
Pressure Drop Calculator
Calculate total pressure drop along a pipe from friction losses using fluid properties.
Orifice Flow Calculator
Calculate flow rate through a sharp-edged orifice plate from differential pressure.
Venturi Meter Calculator
Determine the flow rate through a Venturi meter from upstream and throat dimensions and pressure difference.
Manning Equation Calculator
Calculate open-channel flow velocity and discharge using the Manning equation.
Weir Flow Calculator
Calculate the discharge over a rectangular sharp-crested weir from the head measurement.
Hydrostatic Pressure Calculator
Calculate the pressure at a given depth below the surface of a fluid.
Gear Ratio Calculator
Calculate gear ratio, output speed, and output torque for a simple gear pair.
Belt Drive Calculator
Calculate speed ratio and belt length for a two-pulley belt drive system.
Pulley System Calculator
Calculate the mechanical advantage and required effort force for a compound pulley system.
Shaft Power Calculator
Calculate the mechanical power transmitted by a rotating shaft from torque and rotational speed.
Shaft Torque Calculator
Determine the torque on a rotating shaft from the transmitted power and rotational speed.
Bearing Life Calculator
Estimate the basic rating life of a rolling-element bearing in hours using the L10 life formula.
Thermal Stress Calculator
Calculate the stress induced in a fully restrained member due to a temperature change.
Fatigue Life Calculator
Estimate the number of load cycles to failure using a simplified S-N curve approach (Basquin relation).
Surface Roughness Calculator
Convert between surface roughness parameters Ra and Rz using an approximate relationship.
Cutting Speed Calculator
Calculate the spindle RPM required for a desired cutting speed and workpiece diameter on a lathe or mill.
Feed Rate Calculator
Calculate the table feed rate for milling operations from spindle speed, feed per tooth, and number of teeth.
Material Removal Rate Calculator
Calculate the volumetric material removal rate (MRR) in a milling operation.
Press Fit Calculator
Calculate the interface pressure and required assembly force for a cylindrical press fit joint.
Keyway Stress Calculator
Calculate the shear and compressive (bearing) stress on a parallel key transmitting torque.
Flywheel Energy Calculator
Calculate the rotational kinetic energy stored in a flywheel.
Three-Phase Power Calculator
Calculate real, apparent, and reactive power for a balanced three-phase electrical system.
Motor Speed Calculator
Calculate the synchronous speed and estimated actual speed of an AC induction motor.
Motor Torque Calculator
Calculate the full-load torque output of an electric motor from its rated power and speed.
Power Factor Calculator
Calculate the power factor from real power and apparent power measurements.
Voltage Drop Calculator
Calculate the voltage drop in a cable run for single-phase or three-phase circuits.
Cable Sizing Calculator
Estimate the minimum cable cross-sectional area based on current capacity requirements.
Short Circuit Current Calculator
Estimate the prospective short-circuit current from the transformer kVA rating and impedance.
Transformer Sizing Calculator
Determine the required transformer kVA rating from the connected three-phase load.
Capacitor Bank Calculator
Calculate the capacitor bank kVAR needed to improve power factor to a target value.
Harmonic Distortion Calculator
Calculate total harmonic distortion (THD) from the fundamental and dominant harmonic component.
Grounding Resistance Calculator
Estimate the ground resistance of a single vertical ground rod using soil resistivity.
Circuit Breaker Sizing Calculator
Determine the appropriate circuit breaker rating for a given load current with safety margin.
Battery Capacity Calculator
Calculate the required battery capacity in amp-hours to power a load for a specified duration.
Solar Panel Output Calculator
Estimate daily energy output from a solar panel array based on panel rating and sun hours.
Wind Turbine Power Calculator
Estimate the power output of a wind turbine from wind speed, rotor diameter, and efficiency.
Soil Bearing Capacity Calculator
Estimate the ultimate bearing capacity of shallow foundations using Terzaghi bearing capacity factors.
Concrete Mix Ratio Calculator
Calculate the quantities of cement, sand, and aggregate for a given volume of concrete.
Steel Weight Calculator
Calculate the weight of steel bars (rebar) from diameter and total length.
Traffic Flow Calculator
Calculate traffic flow rate from vehicle density and average speed using the fundamental traffic flow relationship.
Road Gradient Calculator
Calculate road gradient (slope) as a percentage and angle from the rise and run distance.
Earthwork Volume Calculator
Calculate the volume of earthwork (cut or fill) between two cross-sections using the average end area method.
Water Demand Calculator
Estimate the daily water demand for a community based on population and per-capita consumption.
Sewage Flow Calculator
Estimate the wastewater flow rate from a community based on water consumption and a return factor.
Rainfall Intensity Calculator
Estimate rainfall intensity from total precipitation depth and storm duration for drainage design.
Runoff Coefficient Calculator
Calculate the peak stormwater runoff rate using the Rational Method from rainfall intensity, area, and runoff coefficient.
Noise Reduction Calculator
Calculate the combined noise level when multiple sound sources operate simultaneously.
Air Changes Calculator
Calculate the required ventilation airflow rate from room volume and air changes per hour.
Duct Sizing Calculator
Calculate the required duct diameter for a given airflow rate and maximum velocity.
Heat Exchanger Calculator
Calculate the heat transfer rate in a heat exchanger from flow rate, specific heat, and temperature difference.
Cooling Tower Calculator
Estimate the evaporation rate and makeup water requirement for a cooling tower.
Lift Coefficient Calculator
Calculate the lift coefficient from measured lift force, air density, velocity, and wing area for aerodynamic analysis.
Drag Force Calculator
Compute the aerodynamic drag force on a body from its drag coefficient, air density, velocity, and reference area.
Thrust Specific Fuel Consumption Calculator
Determine thrust specific fuel consumption (TSFC) of a jet engine from fuel flow rate and thrust produced.
Mach Angle Calculator
Calculate the Mach angle of a shock cone from the Mach number of supersonic flow.
Airspeed Calculator
Convert indicated airspeed to true airspeed using pressure altitude and temperature for low-speed (incompressible) flight.
Dynamic Pressure Calculator
Calculate the dynamic pressure experienced by a body moving through a fluid from density and velocity.
Wing Loading Calculator
Calculate wing loading from aircraft weight and wing planform area to assess flight performance characteristics.
Aspect Ratio Calculator
Calculate the aspect ratio of a wing from wingspan and wing area, a key parameter for induced drag and efficiency.
Induced Drag Calculator
Calculate the induced drag coefficient and force from lift coefficient, aspect ratio, and Oswald efficiency factor.
Parasitic Drag Calculator
Estimate parasitic (zero-lift) drag from equivalent flat plate area or skin friction coefficient and wetted area.
Tensile Strength Calculator
Calculate the ultimate tensile strength of a material from the maximum load and original cross-sectional area.
Yield Strength Calculator
Calculate yield strength using the 0.2% offset method from load at offset yield and specimen area.
Elastic Modulus Calculator
Calculate Young's modulus (elastic modulus) from stress and strain values measured in the linear elastic region.
Poisson Ratio Calculator
Calculate Poisson's ratio from lateral and axial strain measurements during uniaxial loading.
Shear Modulus Calculator
Calculate the shear modulus (modulus of rigidity) from elastic modulus and Poisson's ratio for isotropic materials.
Hardness Conversion Calculator
Approximate conversion between Brinell hardness (HB) and ultimate tensile strength using the empirical relationship.
Fatigue Life Calculator
Estimate fatigue life in cycles using the Basquin power-law relationship between stress amplitude and number of cycles.
Creep Rate Calculator
Estimate steady-state creep rate using the Arrhenius-type power law for high-temperature material deformation.
Thermal Expansion Strain Calculator
Calculate the thermal strain and length change in a material due to a temperature difference.
Fracture Toughness Calculator
Calculate the stress intensity factor and compare to fracture toughness to assess crack stability.
Transfer Function Gain Calculator
Calculate the DC gain and magnitude of a first-order transfer function at a specified frequency.
PID Tuning Calculator
Calculate PID controller gains using the Ziegler-Nichols tuning method from ultimate gain and period.
Step Response Time Calculator
Calculate rise time and time constant for a first-order system step response.
Settling Time Calculator
Calculate the settling time of a second-order system from natural frequency and damping ratio.
Overshoot Calculator
Calculate the percent overshoot and peak time of a second-order underdamped system step response.
Damping Ratio Calculator
Calculate the damping ratio of a second-order system from measured overshoot or from system parameters.
Natural Frequency Calculator
Calculate the natural frequency of a mass-spring system from stiffness and mass values.
Bandwidth Calculator
Calculate the -3 dB bandwidth of a second-order closed-loop system from natural frequency and damping ratio.
Phase Margin Calculator
Calculate the phase margin of a second-order open-loop system from damping ratio as a quick stability check.
Gain Margin Calculator
Calculate the gain margin from the open-loop gain at the phase crossover frequency for stability assessment.
Heat Exchanger Duty Calculator
Calculate the thermal duty (heat transfer rate) of a heat exchanger from fluid flow rate, specific heat, and temperature change.
LMTD Calculator
Calculate the log-mean temperature difference for counter-flow and parallel-flow heat exchangers.
Overall Heat Transfer Calculator
Calculate the overall heat transfer coefficient U from heat duty, exchanger area, and LMTD.
Mass Flow Rate Calculator
Calculate mass flow rate from fluid density, velocity, and pipe cross-sectional area.
Volumetric Flow Calculator
Calculate volumetric flow rate from pipe diameter and fluid velocity, with conversions between common flow units.
Pressure Vessel Stress Calculator
Calculate hoop and axial stress in a thin-walled cylindrical pressure vessel from internal pressure, diameter, and wall thickness.
Pipe Schedule Calculator
Calculate the required pipe wall thickness from internal pressure, allowable stress, and pipe diameter using the Barlow formula.
Pump Affinity Calculator
Calculate new pump performance (flow, head, power) when speed or impeller diameter changes using the affinity laws.
Fan Affinity Calculator
Calculate new fan performance (airflow, pressure, power) when speed changes using the fan laws.
Compressor Power Calculator
Calculate the theoretical power required for adiabatic (isentropic) compression of an ideal gas.