All calculators
The complete MachineCalcs calculator directory, grouped by workflow. The homepage shows previews; this page keeps the full list in one place.
Compression Spring
Rate, Wahl-corrected stress, solid height and buckling, with built-in material data.
Spring Design
Back-solve wire diameter and active coils from target load, travel, diameter and spring index.
Spring Force
Compression spring force from deflection, with stress, solid height and buckling checks.
Spring Deflection
Compression spring deflection from load, with stress and travel-to-solid checks.
Spring Wire Size
Solve required compression-spring wire diameter from target rate, then check stress and travel.
Music Wire Spring
ASTM A228 music-wire spring rate, force, tensile strength and corrected stress.
Spring Index
Spring index C = D/d with mean, inside and outside diameter conversion.
Spring Rate
Spring rate (spring constant) from wire size, coil diameter and material.
Extension Spring
Rate, spring index and force at extension including initial tension.
Spring Constant
Spring constant from two measured load/deflection points (Hooke’s law).
Torsion Spring
Deflection angle, rate per turn and Wahl-corrected inner-fibre bending stress for a helical torsion spring.
Gear Generator
Generate an involute spur gear profile with live preview and DXF export.
Gear DXF Generator
Generate an involute spur gear DXF for CAD/CAM from module or diametral pitch.
Spur Gear
Spur gear geometry, undercut warning, center distance and DXF export.
Involute Gear
Tooth geometry from module/DP and pressure angle, with a tooth-profile render and DXF export.
Gear Tooth
Involute spur gear tooth thickness, addendum, dedendum, whole depth and undercut margin.
Gear Ratio
Gear ratio with output RPM, torque and vehicle speed from tire size.
Gear Center Distance
Spur gear center distance from module/DP and two tooth counts.
Gear Pitch
Convert module, diametral pitch and circular pitch, plus pitch diameter.
Pitch Diameter
Gear pitch diameter from module, DP or circular pitch and tooth count.
Gear Module
Module from pitch diameter and teeth, with diametral and circular pitch.
Gear Tooth Ratio
Single- or two-stage gear-train ratio and output speed from tooth counts.
Planetary Gear
Epicyclic gear ratio for ring-, sun- or carrier-fixed arrangements.
Worm Gear
Worm drive ratio, center distance, lead angle and self-locking check.
Bevel Gear
Straight bevel gear ratio, pitch cone angles, cone distance, face width, RPM and torque.
Helical Gear
Parallel-shaft helical gear ratio, transverse module, pitch diameters, center distance, axial pitch and lead.
Gear Mesh Force
Tangential, radial and axial tooth loads from torque, pitch diameter, pressure angle, helix angle and service factor.
True Position
GD&T true position from X/Y deviation with MMC bonus tolerance and a pass/fail check.
MMC Bonus Tolerance
MMC/LMC bonus tolerance from a feature’s departure from its material limit.
Composite Position Tolerance
Two-tier PLTZF/FRTZF position check from X/Y deviation.
Flatness Tolerance
Flatness (surface form) from measured points, with a pass/fail check.
Hole & Shaft Fit
ISO 286 hole-basis clearance-fit limits and clearance (H7/g6, H8/f7, …).
Press Fit / Interference
Interference-fit contact pressure, assembly force, torque capacity and hub stress (Lamé).
Cylindricity & Runout
Runout (TIR) and cylindricity zone from indicator and diameter readings.
Tolerance Stack-Up
Worst-case and RSS tolerance stack limits from signed dimensions and plus/minus tolerances.
Surface Feet per Minute
Cutting speed (SFM / m·min) and diameter to spindle RPM, with cutting speeds by material.
Cutting Speed
Convert cutting speed to spindle RPM, or calculate actual SFM / m·min from RPM and diameter.
Bore & Stroke
Engine displacement (cc / L / ci) and bore/stroke ratio from bore, stroke and cylinders.
Tap Drill Size
Tap drill diameter for any metric or unified thread at your chosen % thread engagement.
Keyway Dimension
Standard parallel key & keyway dimensions for a shaft per DIN 6885-1.
CNC Speeds and Feeds
Spindle RPM, feed rate, feed per rev and material removal rate from material, tool, flutes and chip load.
Milling Horsepower
Milling material removal rate, cutting power, spindle horsepower, torque and chip load from cut engagement and feed.
Turning Horsepower
Turning material removal rate, cutting power, spindle horsepower, torque and cutting force from speed, feed and depth.
Machining Time
Estimate CNC feed time, cycle time, batch time and parts per hour from toolpath length, feed rate, RPM, chip load and passes.
Machining Cost
Estimate CNC part cost from material, setup, cycle time, shop rate, tooling, secondary work and markup.
Injection Molding Shot Size
Estimate shot weight, barrel utilization, machine capacity range and clamp force from part weight, cavities, runner weight and projected area.
Chip Load
Chip load (feed per tooth) ↔ milling feed rate from RPM and flutes — Vf = fz·Z·n.
Surface Finish
Theoretical turning Ra & Rz from feed and nose radius — or the max feed for a target finish.
Surface Finish Ra/Rz Converter
Approximate conversion between Ra, Rz, RMS and ISO N roughness grade.
Tapping Feed Rate
Tapping feed rate Vf = spindle RPM × thread pitch; the feed per rev equals the pitch.
Drilling Feed Rate
Drilling feed rate, point allowance, cycle time, cutting speed and material removal rate.
Thread Mill Feed
Compensate thread-mill feed for helical interpolation — tool-centre from cutting-edge feed.
Sine Bar
Gauge-block stack for a sine bar set to an angle (or the angle from a stack) — h = L·sin θ.
Ball Nose Stepover
Scallop height between parallel ball-nose passes — or the stepover for a target finish.
Countersink Depth
Plunge depth and chamfer width of a conical countersink from angle, rim and hole diameter.
Drill Point Length
Drill tip allowance and total blind-hole depth from diameter, point angle and full-diameter depth.
Dovetail
Over-pin / between-pin measurement for inspecting a male or female dovetail slide.
Metal Weight
Weight of bar, tube, plate or angle in any metal — with weight-per-length and cross-section area.
Thermal Expansion
Linear thermal growth or shrinkage from material coefficient, length and temperature change.
Board Feet
Lumber board feet, waste allowance and cost from thickness, width, length and quantity.
Hydraulic Cylinder Force
Push and pull force with the rod-area differential shown explicitly. Standard ISO bores.
Hydraulic Cylinder
Hydraulic cylinder push/pull force, stroke speed and standard bore sizing.
Cylinder Force
Cylinder push and pull force from bore, rod diameter and pressure.
Hydraulic Pressure
Required bar/psi from target cylinder force, bore, rod and stroke direction.
Hydraulic Pump Flow & HP
Pump output flow and hydraulic/shaft power from displacement, speed and pressure.
Pneumatic Cylinder Force
Air-cylinder extend and retract force from bore, rod, gauge pressure and efficiency.
Pneumatic Air Consumption
Free-air consumption per cycle and per minute for a pneumatic cylinder.
Hydraulic Accumulator Sizing
Gas-charged accumulator volume from usable oil volume, precharge and pressure range.
Hydraulic Motor Torque
Motor torque, required flow and shaft power from displacement, pressure drop and speed.
Hydraulic Reservoir Size
First-pass hydraulic tank volume from pump flow, residence time and usable oil fraction.
Pneumatic Valve Cv
Estimate air valve Cv from flow, upstream/downstream pressure and temperature.
Hydraulic Hose Pressure Drop
Estimate hose pressure loss, oil velocity, Reynolds number and heat loss from flow, bore and viscosity.
O-Ring Gland
O-ring squeeze, stretch and gland fill from cross section, installed diameter and groove dimensions.
Furnace BTU
Screen furnace BTU/h from floor area, heating load factor, design temperature difference, AFUE and supply airflow.
Duct Size
Size round and rectangular HVAC ducts from airflow by target velocity or friction rate, with pressure drop and velocity checks.
Air Changes per Hour
Required airflow from room volume and target ACH, plus actual air changes per hour from design or measured airflow.
HVAC Airflow & BTU Load
Sensible BTU/h or kW from airflow and temperature difference, with required CFM, cooling tons and CFM per ton.
HVAC Static Pressure
Total external static pressure from duct, filter, coil, terminal and accessory drops, with margin against blower available static.
Grille Size
Size HVAC grilles, registers and diffusers from airflow, target face velocity and free-area ratio.
Refrigerant Line Charge
Estimate added refrigerant charge from line-set length, factory-included length and manufacturer charge rate or liquid-line volume.
Voltage Drop
Voltage drop, percent drop, load-end voltage and suggested conductor area from phase, wire size, current and one-way length.
Transformer kVA
Single-phase or three-phase transformer kVA from volts and amps or kW and power factor, with standard-size rounding.
Conduit Fill
Raceway fill from conductor count, insulation area and conduit trade size, with NEC-style 53/31/40/60% limits.
Pulley
Pulley ratio, driven RPM and belt speed from pulley diameters.
Sprocket
Sprocket ratio, RPM, chain speed and pitch diameters for a chain drive.
Belt Length
Two-pulley belt length and wrap angle from center distance and diameters.
V-Belt Length
Solve V-belt pitch length or center distance, plus wrap angle, ratio, RPM and belt speed.
Chain Length
Roller-chain length in links and mm from sprocket teeth and center distance.
Chain Pull
Roller-chain effective pull, design pull, pitch-line speed and sprocket torque from power and RPM.
Overhung Load
Overhung shaft load, bearing reactions, load amplification and bending moment from torque, pitch diameter and load position.
Bearing Life (L10)
Basic L10 rating life in revolutions and hours from load, speed and rating.
Bearing Load
Equivalent dynamic/static bearing load from radial and axial loads plus catalog X/Y factors.
Timing Belt
Pitch length, length in teeth and pulley pitch diameters for a synchronous (toothed) belt drive.
Lead Screw Torque
Size lead screw torque, available thrust, linear speed and critical RPM from load, lead, efficiency, screw diameter and support layout.
Rack and Pinion
Rack travel per pinion revolution, linear speed and force from module, teeth, RPM and torque.
Belt Tension
Tight-side, slack-side and effective belt tension from power, speed, wrap angle and friction.
Spline Torque Capacity
First-pass spline torque capacity from flank pressure, pitch diameter and engagement length.
Flywheel Energy
Stored rotational energy, inertia and rim speed for a disk, ring or rim flywheel.
Torque Power RPM
Solve shaft power, torque or RPM from P = T x omega in kW/hp and N*m/lbf*ft.
Tire Size
Compare tire diameter, circumference, revs per mile/km and speedometer change from tire sizes.
Wheel Offset
Compare wheel width, offset, spacer, backspacing, inner clearance and outer poke.
Engine RPM
Cruise engine RPM from road speed, tire diameter, transmission gear, final drive and transfer ratio.
Vehicle Speed
Road speed from engine RPM, tire diameter, transmission gear, final drive and transfer ratio.
Gear Speed Table
Speed in 1st through 6th gear from target RPM, tire diameter, transmission ratios and final drive.
Final Drive Ratio
Required axle or final-drive ratio from target RPM, road speed, tire diameter and transmission ratio.
RPM Drop
After-shift RPM, RPM drop and power-band margin from shift RPM and gear-ratio spacing.
Torque Converter Slip
Converter or clutch slip percentage from measured RPM, road speed, tire diameter and drivetrain ratios.
Wheel Torque
Wheel torque and tire contact force from engine torque, gear ratios, efficiency and tire radius.
Aero Drag Horsepower
Aerodynamic drag, rolling resistance and wheel horsepower needed to hold a target road speed.
Quarter Mile
Empirical quarter-mile ET and trap-speed estimate from race weight, engine power and drivetrain efficiency.
Flywheel Inertia
Flywheel inertia, stored energy, rim speed and gear-reflected equivalent vehicle mass.
Stopping Distance
Reaction distance, braking distance and total stopping distance from speed, reaction time and deceleration g.
Brake Line Pressure
Hydraulic brake line pressure from pedal force, pedal ratio, assist multiplier and master cylinder bore.
Brake Master Cylinder Bore
Required master cylinder bore from target line pressure, pedal force, pedal ratio and assist.
Brake Bias
Front/rear brake bias from line pressures, piston area, pad friction, rotor radius and tire radius.
Brake Torque
Disc brake torque, caliper clamp force and tire contact force from pressure, piston area and rotor radius.
Brake Heat
Stop energy and simple front/rear rotor temperature rise from speed, mass, brake bias and rotor mass.
Lateral Acceleration
Lateral g, lateral tire force and skidpad lap time from vehicle speed, turn radius and mass.
Weight Transfer
Longitudinal axle load transfer from mass, static balance, CG height, wheelbase and braking or acceleration g.
Roll Center Load Transfer
Axle lateral load transfer split into roll-center geometric and elastic components.
Tire Contact Patch
Tire normal load, contact patch area and approximate patch length from load and pressure.
Ackermann Steering
Ideal outside steer angle, turn radius and Ackermann percentage from wheelbase, track and steering angles.
CV Joint Angle
CV axle operating angle from shaft length and vertical or fore-aft offset between joint centers.
Compression Ratio
Static engine compression ratio from bore, stroke, chamber, piston, deck and gasket volumes.
Piston Speed
Mean piston speed from stroke and RPM, plus RPM at a target piston speed.
BMEP
Brake mean effective pressure from torque, displacement and two-stroke or four-stroke cycle.
Engine Airflow CFM
Four-stroke engine airflow and mass airflow from displacement, RPM, VE, boost and air density.
Fuel Injector Flow
Required injector flow rating from power, BSFC, injector count, duty cycle, density and fuel pressure.
Clutch Torque Capacity
Clutch torque capacity, design margin and required clamp force from friction, radius and surface count.
Driveshaft RPM
Driveshaft RPM, wheel RPM, speed at critical RPM and utilization from road speed, tire diameter and axle ratio.
Driveshaft Critical Speed
Tubular driveshaft first bending critical speed from length, diameter, wall thickness, modulus and density.
Suspension Wheel Rate
Wheel rate and ride frequency from spring rate, motion ratio, installation angle and sprung corner mass.
Corner Weight
Total weight, front/rear balance, left/right balance, cross weight and wedge delta from four scale readings.
Maneuvering Speed
Calculate Va from 1g stall speed and positive limit load factor, with load-factor caveats for POH/AFM use.
Maneuvering Speed by Category
Estimate Va from 1g stall speed using common normal, utility, acrobatic or custom load factors.
Limit Load Factor from Va
Back-solve implied positive limit load factor from maneuvering speed and 1g stall speed.
Stall Speed from Va
Infer 1g stall speed from maneuvering speed and positive limit load factor.
Corner Speed
Calculate simplified positive corner speed from 1g stall speed and limit load factor.
Va Weight Adjustment
Adjust a published maneuvering speed for operating weight using the square-root weight relation when the POH permits it.
Va Weight Table
Build a Va-by-weight table and chart from published Va, reference weight and actual weight.
Stall Speed
Estimate stall speed from aircraft weight, wing area, air density and CLmax using the lift equation.
Stall Speed Weight Adjustment
Adjust a published stall speed for actual weight using the square-root weight relation.
Stall Margin
Check available load factor, accelerated stall speed and airspeed margin for a planned g load.
Load Factor
Find coordinated level-turn load factor from bank angle and the accelerated stall speed from 1g stall speed.
Bank Angle from Load Factor
Convert load factor to equivalent coordinated level-turn bank angle and accelerated stall speed.
Accelerated Stall Speed
Calculate accelerated stall speed from 1g stall speed and load factor, with equivalent level-turn bank angle.
Turn Radius
Coordinated level-turn radius, turn rate and load factor from airspeed and bank angle.
Turn Load Factor
Calculate coordinated-turn load factor, bank angle and turn rate from true airspeed and turn radius.
Standard Rate Turn
Bank angle, radius and load factor for a standard-rate or target-rate turn from true airspeed.
Density Altitude
Estimate pressure altitude, ISA temperature deviation and density altitude from field elevation, altimeter setting and OAT.
True Airspeed
Estimate TAS from equivalent or approximate calibrated airspeed, pressure altitude and outside air temperature.
Crosswind Component
Headwind, tailwind, steady crosswind and gust crosswind components from wind direction, runway heading and speed.
Glide Distance
Still-air glide distance, descent angle, sink rate and time from altitude, glide ratio and glide speed.
Climb Gradient
Convert climb rate and ground speed into climb gradient, feet per nautical mile, climb angle and obstacle-height gain.
Descent Planning
Top-of-descent distance, descent time, actual descent angle and required descent rate for a target path.
Aircraft Range & Endurance
Endurance, reserve time, usable cruise time and still-air range from fuel quantity, burn rate and ground speed.
V-n Diagram
Simplified V-n envelope corner speeds from positive/negative stall speeds, limit loads and Vne.
Approach Speed
Estimate base Vref, gust additive and target approach speed from Vso and a reference factor.
Aircraft Weight & Balance
Calculate loaded aircraft weight, total moment, CG arm and margin to forward/aft CG limits from station weights and arms.
Solenoid Force
First-pass solenoid or electromagnet pull force from ampere-turns, air gap, pole area, leakage and saturation.
Solenoid Magnetic Field
Solenoid center field from turns, current, coil length, diameter and relative permeability, with finite-length correction.
Magnetic Field
On-axis magnetic field of an axially magnetized disc or cylinder magnet from grade, size and distance.
Electromagnet Holding Force
Holding force and safe working load from pole flux density, pole area, contact factor and safety factor.
Magnet Pull Force
Permanent-magnet pull-force screen from grade, shape, thickness, air gap, target surface and safety factor.
Bolt Preload & Torque
Clamp force (preload) from tightening torque and the nut factor.
Bolt Circle Coordinate
X-Y hole coordinates and spacing on a bolt circle, with a layout render.
Fillet Weld Size
Effective throat and weld capacity from leg size, length and electrode (AWS/AISC).
Weld Throat
Fillet weld throat, throat area, capacity and required equal leg from equal/unequal legs, root opening and ASD/LRFD basis.
Welding Heat Input
Arc welding heat input in kJ/mm and kJ/in from voltage, current, travel speed and efficiency.
Welding Deposition
Fillet weld deposited metal, filler mass and arc time from weld length, leg size, density and deposition rate.
Bolt Shear Strength
Ultimate shear capacity of a bolt from grade, diameter and pitch — thread or shank plane, single or double shear.
Shear Pin Diameter
Required round pin diameter from shear force, allowable stress, safety factor and shear planes.
Bolt Pattern Force
Shear load per bolt in a circular pattern under a torsional moment plus direct shear.
Thread Pitch Diameter
Pitch (effective) diameter of a 60° thread by the three-wire method, plus the best wire size.
Thread Engagement
Check engaged thread length against internal and external thread stripping for metric, UNC and UNF threads.
Torque to Tension
Convert tightening torque to bolt tension, or target preload to required torque, with nut factor K.
Bolt Elongation
Elastic bolt stretch, stress and strain from preload, stressed length, area and modulus.
Bolt Bearing Stress
Average bolt or pin bearing stress from projected area d*t, load per fastener and allowable stress.
Clevis Pin
Clevis pin shear, bending, eye bearing, fork bearing and utilization from load and lug geometry.
Weld Group
Rectangular weld-group stress and required fillet leg under eccentric in-plane loading.
Section Modulus
Area moment I, section modulus S = I/c, area and neutral axis for a rectangle, round, tube, I-beam, channel, tee or angle.
Shaft Diameter
Required solid shaft diameter from torque, bending moment, allowable shear and safety factor.
Shaft Torsion
Circular-shaft torsion stress, angle of twist, polar moment J and torque capacity.
Shaft Deflection
Bending deflection, stress and I for a round shaft as a beam (simply supported or cantilever).
Column Buckling
Euler critical load, effective length, slenderness and utilization for columns or cylinder rods.
Square Tube Deflection
Deflection, stress and I of a square/rectangular HSS tube used as a beam.
Beam Deflection
General beam deflection, bending moment and stress from I and S for common point and uniform load cases.
Beam Load Capacity
Allowable beam load from section modulus, span and allowable bending stress.
Wood Beam Span
Preliminary sawn-lumber beam or joist span from 2x size, spacing, live/dead loads and entered E, Fb and Fv values.
Deck Board
Decking board count, board rows, linear decking, fasteners and board cost from deck size and board layout.
Deck Footing Concrete
Concrete volume, bag count and concrete weight for round deck footings from diameter, depth and count.
Rafter
Common rafter length, roof rise, pitch angle, overhang tail length and rafter count for gable roof layout.
LVL Beam
Preliminary LVL beam sizing from span, plies, depth, uniform line loads and product design values, with bending, shear and deflection checks.
No calculator matches that. Try a broader term, or .