Engineering tools
Find calculations and practical tools relevant to engineering. Check the method, units and limits before using a result.
Ohm’s Law CalculatorCalculate voltage, current and power from resistance and current.Circle AreaArea from radiusCircle CircumferenceCircumference from radiusCylinder VolumeCylinder volumeSphere VolumeSphere volumeCone VolumeCone volumeTriangle AreaArea of a triangleNewton ForceForce from mass and accelerationElectrical PowerPower from voltage and currentResistance from Voltage and CurrentResistance by Ohm’s lawElectrical Energy ConsumptionEnergy from power and operating timeVolumetric Flow RateFlow from volume and timeAverage SpeedSpeed from distance and timeOEE availabilityManufacturing & industrial quality · Performance · Compare run time with planned production time.OEE performanceManufacturing & industrial quality · Performance · Actual speed compared with the ideal cycle.First-pass yield / OEE qualityManufacturing & industrial quality · Quality · Compare good units without rework with total units entering the defined process.Overall equipment effectiveness (OEE)Manufacturing & industrial quality · Performance · Combined production availability, speed and first-pass quality.Process capability CpManufacturing & industrial quality · Quality · Specification width relative to estimated process spread.Process capability CpkManufacturing & industrial quality · Quality · Capability accounting for the mean position.Total cost of qualityManufacturing & industrial quality · Financial · Prevention, appraisal and failure costs.Cost of poor quality (failure-cost model)Manufacturing & industrial quality · Financial · Internal and external failure costs.Manufacturing scrap proportionManufacturing & industrial quality · Quality · Locally defined measure of manufacturing scrap proportion.Manufacturing rework proportionManufacturing & industrial quality · Quality · Locally defined measure of manufacturing rework proportion.Cost performance index (CPI)Construction & project management · Financial · Compare earned value with actual cost.Schedule performance index (SPI)Construction & project management · Performance · Compare earned value with planned value.Earned-value cost varianceConstruction & project management · Performance · Difference from the approved earned-value baseline.Earned-value schedule varianceConstruction & project management · Performance · Difference from the approved earned-value baseline.Construction first-inspection pass rateConstruction & project management · Quality · Locally defined measure of construction first-inspection pass rate.Construction rework cost shareConstruction & project management · Financial · Locally defined measure of construction rework cost share.Deployment frequency per daySoftware & DevOps · Performance · Compare production deployments with days in the measurement window.Change fail rateSoftware & DevOps · Quality · Compare production deployments requiring immediate intervention with production deployments.Deployment rework rateSoftware & DevOps · Quality · Compare unplanned deployments caused by production incidents with production deployments.Software test execution pass rateSoftware & DevOps · Quality · Locally defined measure of software test execution pass rate.Software defect escape shareSoftware & DevOps · Quality · Locally defined measure of software defect escape share.Mean failed deployment recovery timeSoftware & DevOps · Quality · Locally defined measure of mean failed deployment recovery time.Service successful-event ratioIT service & maintenance · Quality · Compare good valid service events with total valid service events.Latency service-level indicatorIT service & maintenance · Quality · Compare valid requests meeting the latency threshold with valid requests measured.Mean time between failures (MTBF)IT service & maintenance · Performance · Compare total operating time with observed failures.Mean time to repair (MTTR)IT service & maintenance · Performance · Compare total repair time with completed repairs.Steady-state intrinsic availabilityIT service & maintenance · Performance · A model using repair and failure averages.Preventive maintenance completed on timeIT service & maintenance · Quality · Locally defined measure of preventive maintenance completed on time.Non-revenue waterWater & sanitation · Sustainability · Water supplied to the system that is not billed/sold.Water quality sample complianceWater & sanitation · Safety · Compare samples meeting every specified water quality parameter with water samples tested.Water service operating cost recoveryWater & sanitation · Financial · Compare operating revenue from water supply with water supply operating expenses.Treated wastewater reuse proportionWater & sanitation · Sustainability · Compare treated wastewater reused or recycled with wastewater received at treatment plants.System average interruption frequency (SAIFI)Energy & utilities · Quality · Compare customer interruptions with customers served.System average interruption duration (SAIDI)Energy & utilities · Quality · Compare customer-minutes of interruption with customers served.Customer average interruption duration (CAIDI)Energy & utilities · Quality · Locally defined measure of customer average interruption duration (caidi).Series resistor networkR = R₁ + R₂Two resistors in parallelR = R₁R₂ / (R₁ + R₂)Unloaded voltage dividerVout = Vin × R₂ / (R₁ + R₂)LED series resistorR = (Vs − Vf) / (I / 1000)Resistor heat dissipation from currentP = I²RResistor heat dissipation from voltageP = V² / RRC time constantτ = R × C × 10⁻⁶RL time constantτ = (L / 1000) / RCapacitor stored energyE = ½CV²Inductor stored energyE = ½LI²Capacitive reactanceXc = 1 / (2πfC)Inductive reactanceXL = 2πfLLC resonant frequencyf = 1 / (2π√LC)Single-phase AC real powerP = Vrms × Irms × PFBalanced three-phase real powerP = √3 × Vline × Iline × PFSine-wave RMS from peakVrms = Vpeak / √2Ideal transformer secondary voltageVs = Vp × Ns / NpNominal battery energyWh = V × mAh / 1000Battery runtime at constant loadRuntime = 60 × Wh × usable fraction / WIdeal battery charging timeTime = Ah / ATorque from force and lever armτ = F × rShaft power from torque and RPMP = τ × 2π × RPM / 60Linear momentump = mvImpulse from force and durationJ = FΔtSpring force magnitudeF = kxElastic spring energyE = ½kx²Centripetal forceF = mv² / rNominal axial stressStress = force / areaEngineering axial strainStrain = ΔL / LYoung modulus from linear elastic dataE = stress / strainLinear thermal expansionΔL = αLΔTCoulomb sliding friction magnitudeF = μNIdeal gear train output speedOutput RPM = Input RPM × driver teeth / driven teethBelt surface speedv = π × (D / 1000) × RPM / 60Machining cutting surface speedv = π × D × RPM / 1000Spindle RPM from cutting speedRPM = 1000v / (πD)Milling table feedFeed = feed/tooth × teeth × RPMConstant-feed machining travel timeTime = travel / feedDynamic pressureq = ½ρv²Aerodynamic lift from coefficientL = ½ρv²SCLAerodynamic drag from coefficientD = ½ρv²SCDHydrostatic gauge pressureP = ρghBuoyant forceF = ρVgMean pipe velocityv = Q / (πD²/4)Reynolds number for pipe flowRe = ρvD / μHydraulic power from head and flowP = ρgQHPump input power estimateInput power = hydraulic power / (efficiency/100)Sensible heat transferQ = mcΔTLatent heat transferQ = mLSteady planar heat conductionHeat rate = kAΔT / LWave propagation speedv = fλSmall-angle pendulum periodT = 2π√(L/g)Free-fall time from restt = √(2h/g)Ideal gas volumeV = nRT/P, R = 8.31446261815324 J/(mol·K)Professional Worksheet StudioEditable logs, action plans and cost/ratio worksheets for 48 work areas. 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