Mechanical engineering calculators for machine design

Square Tube Deflection

Deflection, stress and I of a square/rectangular HSS tube used as a beam.

Metal Weight

Weight, order weight, material cost, weight-per-length and cross-section area for bar, tube, plate or angle in any metal.

Keyway Dimension

Standard parallel key & keyway dimensions for a shaft per DIN 6885-1.

Overhung Load

Overhung shaft load, bearing reactions, load amplification and bending moment from torque, pitch diameter and load position.

Hole & Shaft Fit

ISO 286 hole-basis clearance-fit limits and clearance (H7/g6, H8/f7, …).

Pipe Bend Developed Length

Pipe bend centerline arc length and developed cut length from bend angle, radius, OD and tangents, with chord, setback and blank margin.

Pipe Miter Cut

Pipe miter cut angle, long-to-short difference and wrap-around template drops from OD, turn angle and miter piece count.

Planetary Gear

Epicyclic gear ratio for ring-, sun- or carrier-fixed arrangements.

Involute Gear

Tooth geometry from module/DP and pressure angle, with a tooth-profile render and DXF export.

Shaft Torsion

Circular-shaft torsion stress, angle of twist, polar moment J and torque capacity.

Countersink Depth

Plunge depth and chamfer width of a conical countersink from angle, rim and hole diameter.

Rack and Pinion

Rack travel per pinion revolution, linear speed and force from module, teeth, RPM and torque.

Duct Size

Size round and rectangular HVAC ducts from airflow by target velocity or friction rate, with pressure drop and velocity checks.

Duct Friction Loss

Calculate round, spiral or rectangular duct pressure loss from airflow, duct size, total equivalent length, roughness and air density.

Voltage Drop

Voltage drop, percent drop, load-end voltage and suggested conductor area from phase, wire size, current or transformer kVA and one-way length.

Access Control Power Supply

Low-voltage access-control supply amperage, wire voltage drop, recommended AWG and standby battery amp-hours from lock, reader, accessory and panel currents.

Conduit Fill

Raceway fill worksheet from conductor count, insulation area and conduit trade size, with NEC-style 53/31/40/60% limits.

Conduit Pull Tension

Wire or cable pull tension, capstan bend multiplier, sidewall pressure and utilization from route length, friction, bend angle and manufacturer limits.

Transformer kVA

Single-phase or three-phase transformer kVA from volts and amps or kW and power factor, with standard-size chart rounding.

Short-Circuit Current

Transformer secondary short-circuit current and available fault current from kVA, impedance percent, X/R ratio, optional source and downstream impedance.

Solar String Sizing

PV modules in series/parallel from module Voc/Vmp temperature coefficients, inverter MPPT window, max DC voltage and input current.

Motor Full-Load Amps

Formula motor full-load amps from horsepower or kW, voltage, phase, efficiency and power factor, with design-current and service-factor checks.

Furnace BTU

Screen furnace BTU/h from floor area, heating load factor, design temperature difference, AFUE and supply airflow.

Mini Split Sizing

Screen ductless mini-split room BTU/h from area, ceiling height, design temperatures, sun exposure, envelope quality, occupants, equipment gains and margin.

Refrigerant Line Size

Screen suction and liquid refrigerant line IDs from capacity, equivalent length, entered refrigerant properties, velocity targets and pressure-drop budgets.

Refrigerant Line Charge

Estimate added refrigerant charge from line-set length, factory-included length and manufacturer charge rate or liquid-line volume.

BTU/GPM Delta T

Hydronic BTU/h or kW from liquid flow and Delta T, with required GPM, required Delta T, mass flow and a 500 x GPM x Delta F water-shortcut comparison.

Compressed Air Receiver Sizing

Compressed-air receiver volume, stored free air, reserve time, utilization and recharge time from demand, compressor FAD and pressure band.

Compressed Air Leak Cost

Compressed-air leak flow, wasted compressor kW, annual kWh, cost and repair payback from measured SCFM or orifice size.

Compressed Air Pipe Sizing

Compressed-air pipe velocity, pressure drop, outlet pressure and required actual ID from SCFM/Nl/min, pressure, length, roughness and fittings.

Board Feet

Lumber board feet, board feet chart rows, waste allowance, species-based weight and cost from thickness, width, length and quantity.

Cut List

Linear woodworking cut list for repeated board parts, stock boards, kerf, end trim, board feet, yield and cost.

Panel Glue-Up

Woodworking panel glue-up strip count, rough boards, glue lines, clamps, board feet, kerf waste, offcuts, yield and cost.

Wood Glue Consumption

Wood glue and adhesive quantity, containers, leftover, effective spread rate and cost from bonding area, coated faces, waste and spread rate.

Plywood Cut Optimizer

Pack repeated plywood, MDF, OSB or melamine rectangles into full sheets with kerf, edge trim, rotation, yield, cost and a layout preview.

Dado & Groove

Woodworking dado and groove layout marks, slot width, cut depth, remaining thickness, cutter passes, glue area and chip volume.

Cabinet Door Size

Overlay or inset cabinet door width, height, center gap and slab area from a measured opening, reveal or overlay settings.

Drawer Slide

Cabinet drawer slide clearances, box width, box height, available slide depth, rounded slide length, depth reserve and estimated travel.

Veneer Coverage

Wood veneer sheet count, buy area, matching allowance, leftover, utilization and cost from panel dimensions, face count, yield and waste.

Edge Banding

Cabinet and panel edge-banding roll length, roll count, leftover, utilization and cost from panel size, edged sides, trim allowance and waste.

Dust Collector CFM

Woodshop dust-collector CFM from tool port diameter, transport velocity, active branches, airflow allowance and main duct velocity.

Shelf Sag

Wood, plywood, MDF or particleboard shelf deflection from span, depth, thickness, load, support condition and material stiffness.

Wood Moisture Content

Oven-dry wood moisture content, target sample weight and batch water to remove or regain from current and oven-dry sample weights.

Wood Stain Coverage

Wood stain, paint and clear finish volume, container count and cost from area, coats, species absorption, surface condition and waste.

Trim Molding

Baseboard, crown, chair rail or casing linear feet, stock pieces, waste, leftover and material cost from room dimensions and openings.

Kerf Bending

Woodworking kerf-bend cut count, spacing, layout length, cut depth, remaining web and slot-closure screen from radius, angle, stock and saw kerf.

Ballast Weight

Target ballast, counterweight mass, ballast weight chart, volume, standard weight count and mass-distance moment from load arms and material density.

Tractor PTO Horsepower

Tractor PTO and implement horsepower from shaft torque/RPM or draft pull/speed, with efficiency, margin, utilization and equivalent PTO torque.

Trucking Fuel Surcharge

Per-mile trucking fuel surcharge, total FSC, linehaul split and diesel recovery margin from entered diesel price, base price, MPG and miles.

Freight Density

Freight density, pallet cube, dimensional weight and billable-weight screen from handling-unit weight, count and packed dimensions.

Truckload Capacity

Truckload pallet positions, stack levels, trailer cube, payload margin and limiting factor from trailer and pallet dimensions.

Truck Axle Load

Static front and rear axle loads, GVWR margin, GAWR margins and remaining payload from scale weights, wheelbase and cargo CG positions.

Trailer Tongue Weight

Trailer tongue weight, tongue percent, axle-group load and load-position shift from empty trailer weight, hitch-to-axle distance and cargo CG locations.

Deck Joist Span

Preliminary deck joist span from joist size, spacing, live/dead loads and entered E, Fb and Fv values.

Deck Beam Span

Preliminary deck beam span and post-spacing screen from built-up plies, tributary deck width, loads and entered E, Fb and Fv values.

Deck Ledger Fastener Spacing

Deck ledger line load and fastener spacing screen from tributary width, area loads and entered allowable per fastener.

Deck Footing Size

Preliminary deck or post footing bearing area, round diameter, square width, selected footing utilization and concrete quantity from load and entered allowable soil bearing.

Lintel Size

Preliminary lintel sizing from opening span, bearing, wall and floor/roof line loads, entered section S/I, bending, shear, deflection and bearing checks.

Wood Beam Span

Preliminary sawn-lumber beam or joist span from 2x size, spacing, live/dead loads and entered E, Fb and Fv values.

Rafter

Common rafter length, roof rise, pitch angle, overhang tail length and rafter count for gable roof layout.

Deck Board

Decking board count, board rows, linear decking, fasteners and board cost from deck size and board layout.

Deck Diagonal Board

Diagonal deck board rows, linear decking, boards to buy, longest run and cost from deck size, angle and board layout.

Deck Footing Concrete

Concrete volume, bag count and concrete weight for round deck footings from diameter, depth and count.

Rebar Spacing

Rectangular slab, wall or footing rebar layout takeoff: bar count, actual spacing, total length, stock sticks and estimated weight.

Rebar Lap Splice Length

Formula-only lap splice length, available-lap margin and lap allowance from entered development basis, splice factors and bar count.

Epoxy Anchor Pullout

Formula-only adhesive anchor tension screen from entered embedment, bond stress, steel stress and safety factor.

Wood Fence Material

Wood fence posts, sections, rails, pickets, gate openings, post-hole concrete bags and material cost from a linear fence run.

K-Factor

Back-solve sheet-metal K-factor from measured bend data, compare copper/metal starter bands, and report bend deduction, setback and neutral-axis offset.

Expansion Tank Sizing

Hydronic expansion volume, required acceptance, minimum diaphragm tank volume, selected-tank utilization and maximum pressure check.

Pipe Trench Backfill

Pipe trench excavation, bedding, pipe displacement, native backfill, imported backfill and loose spoil haul-off takeoff.

Pipe Rolling Offset

Pipefitter rolling offset layout from rise, roll, fitting angle and takeout, with true offset, travel, cut length, advance and roll angle.

Pipe Saddle Cut

Centered branch-pipe saddle and lateral coping template from header OD, branch OD and branch angle, with 16-mark drops.

Pipe Reducer Offset

Concentric and eccentric pipe reducer offset, long/short side lengths, taper angles and shell-area estimate from actual ODs and reducer length.

Gutter & Downspout Sizing

Roof runoff, gutter run capacity, downspout capacity, required gutter depth and limiting roof area from rainfall and gutter geometry.

Trench Drain Sizing

Trench drain design flow, grate open area, rectangular channel capacity, outlet pipe capacity and required channel depth.

French Drain Sizing

French-drain runoff, gravel void storage, perforated pipe capacity, storage duration, required trench length and limiting drainage area.

Swale Capacity

Vegetated drainage swale runoff, trapezoidal channel capacity, velocity, required depth, freeboard and limiting drainage area.

Sump Pump Capacity

Sump pump inflow, required pump capacity at head, basin drawdown volume, pump run time, cycle rate and high-water reserve time.

Culvert Capacity

Culvert runoff, circular or box barrel Manning capacity, full-flow velocity, required size and limiting drainage area.

Chemical Feed Rate

Water-treatment chemical feed rate, metering-pump setting, mL/min, gpd and day-tank runtime from flow, ppm dose, strength and specific gravity.

Motor Overload Size

Motor overload relay or heater target setting from nameplate FLA, entered multiplier, selected setting and running-current margin.

Grounding Conductor Size

Equipment grounding conductor size from upstream OCPD rating, copper/aluminum material, selected EGC size and voltage-drop upsizing ratio.

Tap Drill Size

Tap drill diameter for any metric or unified thread at your chosen % thread engagement.

End Mill Deflection

End-mill stickout deflection, stress, L/D ratio and required diameter from radial force, flute length and stiffness factor.

Helical Ramp Entry

Plan end-mill helical ramp pitch, turns, path length, entry time and ramp feed from angle, depth and bore or tool-center path diameter.

Hydraulic Cylinder Force

Push and pull force with the rod-area differential shown explicitly. Standard ISO bore chart included.

Hydraulic Cylinder Rod Buckling

Hydraulic cylinder rod Euler buckling, yield load, safety factor, required rod diameter and max unsupported length.

Valve Spring Rate

Valve spring rate, seat load, open load, coil-bind clearance and open stress from wire diameter, coil geometry, installed height and lift.

Spring Buckling

Compression spring buckling critical deflection, no-buckling free length and required mean diameter from free length, coil diameter and end type.

Compression Spring

Rate, Wahl-corrected stress, force, coil-bind travel and buckling, with built-in material data.