Niche Construction & Trade Math Suite
114 hyper-specific calculators, cut list optimizers, code compliance estimators, and trade engineering tools for carpenters, electricians, plumbers, masons, and welders.
Common Rafter Length Calculator
Calculate exact common rafter length, plumb cut angle, seat cut angle, and ridge board thickness deductions with International Residential Code standards.
Rafter Bird's Mouth Cut Calculator
Calculate seat cut width, plumb cut depth, and verify height above plate (HAP) retention limits under International Residential Code (IRC R802.7.1).
Hip & Valley Rafter Calculator
Calculate hip and valley rafter true length, 17-inch unit run pitch, plumb cut, seat cut, and 45-degree cheek bevel angles for compound roof framing.
Jack Rafter Spacing Calculator
Calculate jack rafter common difference decrement, step-down cut lengths, and 45-degree cheek bevel cuts for hip and valley roof framing.
Collar Tie & Rafter Tie Calculator
Size collar ties for wind uplift and rafter ties for horizontal wall spreading thrust forces under International Residential Code (IRC R802.4.6).
Roof Pitch & Slope Converter
Convert roof pitch (X/12) to incline degrees, radians, percent slope grade, and rafter length multipliers with framing speed square angles.
Gambrel Barn Roof Rafter Calculator
Calculate steep lower pitch and shallow upper pitch rafter lengths, knuckle joint bevel cut angles, and plywood gusset plates for Dutch gambrel roofs.
Shed Roof Lean-To Pitch Calculator
Calculate shed roof lean-to slope, high wall vs low wall stud heights, rafter cut length, and angled top plate cuts for outbuildings and additions.
Raised Energy Heel Truss Calculator
Calculate required raised energy heel truss height to fit uncompressed R-49 or R-60 attic insulation over exterior wall top plates without thermal bridging.
Roof Dormer Framing Calculator
Calculate roof dormer rough opening length on slope, header sizing, trimmer rafter doubling, and valley nailer angles for gable and shed dormers.
Wire Gauge & Voltage Drop Calculator
Calculate single-phase and 3-phase AC voltage drop by wire gauge and one-way run distance under National Electrical Code (NEC 210.19 3% rule).
Conduit Fill Percentage Calculator
Verify conduit cross-sectional wire fill percentage under NEC Chapter 9 Table 1 limits (40% for 3+ conductors, 31% for 2, 53% for 1).
Electrical Box Fill Calculator
Calculate required electrical junction and switch box volume in cubic inches under NEC Article 314.16 conductor and yoke fill rules.
Subpanel Feeder Wire Sizing Calculator
Size subpanel feeder hot, neutral, and ground conductors (60A to 200A) accounting for continuous load derating and NEC 250.122 grounding.
Electric Motor FLA & Breaker Sizing Calculator
Determine electric motor full load amps (FLA), branch circuit wire sizing (125%), circuit breaker (250%), and time-delay fuses under NEC Article 430.
Three-Phase AC Power Calculator
Calculate 3-phase real power (kW), apparent power (kVA), reactive power (kVAR), and line current with variable power factor and line-to-line voltage.
Transformer Voltage, Current & Turn Ratio Calculator
Calculate step-up and step-down transformer winding turns ratios, full load primary/secondary amps, and overcurrent protection breaker sizing.
Wire Resistance & I²R Heat Loss Calculator
Calculate watts of waste heat dissipated in long electrical wire runs from I²R copper resistance and annual dollar cost of electricity losses.
Home Backup Generator Sizing Calculator
Size emergency backup generators by calculating running watts and inductive motor starting surge peaks with appliance load profiles.
Solar Panel String Voc Cold Voltage Calculator
Calculate maximum open-circuit string voltage (Voc) at record winter freezing temperatures to protect solar inverters under NEC 690.7.
Off-Grid Battery Bank Sizing Calculator
Size off-grid battery banks in amp-hours (Ah) and kilowatt-hours (kWh) comparing Lead-Acid 50% DoD against LiFePO4 80% DoD under continuous load.
Grounding Electrode Resistance Calculator
Size driven ground rods under the NEC 25-ohm rule (NEC 250.53) and calculate parallel 6-foot spacing resistance reductions based on soil resistivity.
Board Feet Lumber Volume & Pricing Calculator
Compute rough-sawn hardwood volume in board feet (BF) and calculate lumber order costs with standard thickness fractions (4/4, 5/4, 8/4).
Plywood Sheet Cut Optimizer
Optimize rectangular plywood cabinet parts on standard 48x96 inch sheet goods with 1/8 inch saw kerf blade thickness deductions.
Cabinet Face Frame Stile & Rail Calculator
Calculate finished face frame stile and rail cut dimensions, pocket hole layout, and door sizes for inset and overlay cabinetry.
Crown Molding Compound Miter Calculator
Calculate compound miter saw rotation and bevel tilt angles for cutting crown molding laid flat on the saw table for inside and outside corners.
Floor Joist Maximum Span & Deflection Calculator
Determine allowable clear span and deflection limits (L/360 for drywall, L/480 for ceramic tile) for dimensional lumber floor joists.
Ceiling Joist Span & Drywall Sag Calculator
Size ceiling joists for uninhabited attics with or without limited storage (10 vs 20 psf live load) under IRC Table R802.5.1 deflection limits.
Deck Ledger Board Fastener Spacing Calculator
Calculate on-center bolt spacing for attaching deck ledger boards to house rim joists under IRC Table R507.9.1.3 lag screw and through-bolt codes.
Deck Post, Beam Sizing & Cantilever Calculator
Size multi-ply deck beams (2-2x8 to 3-2x12), 4x4 vs 6x6 posts, and verify maximum joist cantilever overhang under IRC R507 standards.
Stair & Deck Baluster Spacing Calculator
Calculate equal spacing between deck and stair railing balusters to ensure a 4-inch sphere cannot pass under IRC Section R312.1.3.
Hardwood Seasonal Wood Movement Calculator
Calculate seasonal width expansion and contraction in solid hardwood tabletops from relative humidity changes using USDA Wood Handbook coefficients.
Segmented Woodturning Ring Calculator
Calculate miter saw angles, segment edge cut lengths, and board feet for open and closed segmented woodturning lathe bowl rings.
Hand-Cut Dovetail Joint Layout Calculator
Calculate pin-to-tail layout spacing, half-pin borders, and traditional 1:6 (softwood) vs 1:8 (hardwood) angles for hand-cut dovetails.
Pocket Hole Screw & Stop Collar Calculator
Determine pocket hole jig depth setting, drill bit stop collar position, and screw length for wood thicknesses from 1/2 to 1-1/2 inches.
Concrete Maturity Index & Strength Calculator
Calculate in-place concrete compressive strength development from temperature history using ASTM C1074 Nurse-Saul maturity equation.
Site Concrete Mix Ratio Batching Calculator
Calculate volumetric batching of Portland cement bags, masonry sand, gravel aggregate, and water for standard 3000 and 4000 PSI site concrete mixes.
CMU Block Wall, Rebar & Mortar Calculator
Calculate standard 8x8x16 cinder block counts (112.5 blocks per 100 sq ft), Type S mortar bags, and vertical core-fill grout yardage.
Retaining Wall Drainage & Backfill Calculator
Size clean crushed stone drainage zones (min 12" wide behind blocks), perforated pipe fall, and geogrid layers to prevent wall tipping.
Sonotube Pier & Bell Footing Calculator
Compute volume for round concrete columns (V = πr²h) plus flared bottom bell footings in cubic yards, 80 lb, and 60 lb pre-mix bags.
Asphalt Driveway Tonnage Calculator
Estimate hot mix asphalt (HMA) tonnage from length, width, and compacted depth with loose rake factors and tri-axle truckload requirements.
Patio Paver Base Sand & Subbase Calculator
Calculate cubic yards and tons for 4 to 6 inch crushed gravel subbase, 1 inch bedding sand, and polymeric joint sand bags for patios and walkways.
Driveway Culvert Pipe Sizing Calculator
Size round corrugated metal (CMP) or smooth-wall HDPE driveway culvert pipes using Manning equation peak drainage runoff flow.
Excavation Trench Spoil Swell Calculator
Calculate volumetric soil expansion (20% to 35% swell factor) from bank cubic yards (BCY) to loose yards (LCY) and required dump truck loads.
Post Hole Diameter & Frost Depth Sizer
Determine fence and deck post hole depth based on regional frost lines and calculate 60 lb and 80 lb concrete bag requirements under IRC R403.
Under-Slab Vapor Barrier Permeance Calculator
Size under-slab true extruded poly vapor barriers (10 to 15 mil under ASTM E1745) and calculate 6-inch taped seam overlap square footage.
Tile Grout Consumption Calculator
Calculate pounds of tile grout required by tile dimensions, thickness, and joint width, with sanded vs unsanded selection rules.
Brick Masonry & Mortar Cube Calculator
Calculate standard modular brick counts (6.75 bricks per sq ft with 3/8" joints), brick cubes (500/cube), and Type N/S mortar bag quantities.
Hydraulic Cylinder Force & Speed Calculator
Calculate push force, rod-annulus pull force, extension speeds, and cycle times in tons and pounds based on PSI pressure and pump GPM.
Plumbing Drain Pipe Slope & Fall Calculator
Calculate total vertical drop fall for DWV drain pipes under IPC and UPC codes (1/4" per foot for ≤ 2" pipes and 1/8" per foot for 3-6" pipes).
PEX Pipe Pressure Drop & Friction Loss Calculator
Calculate PSI pressure drop through PEX tubing runs using Hazen-Williams formula with equivalent length additions for crimp barb fittings.
Plumbing Water Supply Fixture Units (WSFU) Calculator
Convert residential and commercial plumbing fixtures into Hunter curve Water Supply Fixture Units (WSFU) to size main water supply pipes.
Water Hammer Arrestor Sizing Calculator
Size mechanical water hammer arrestors based on PDI-WH 201 fixture unit ratings (Class A to F) on fast-closing solenoid valves.
Submersible Well Pump TDH & Sizing Calculator
Calculate pump Total Dynamic Head (TDH) factoring in static water level, drawdown, elevation lift, friction loss, and household pressure.
Water Softener Grain Capacity Sizing Calculator
Size whole-house ion-exchange water softener grain capacities (24k to 64k grains) based on water hardness GPG, dissolved iron, and family members.
Water Heater Thermal Expansion Tank Calculator
Size thermal expansion tank acceptance volume in closed plumbing systems to prevent T&P relief valve discharge under IRC P2903.4.
Sewer Snake Cable Sizing Calculator
Select correct sewer snake cable diameter and cutter heads by pipe size and obstruction type to prevent cable kinking or motor stalls.
Gas Pipe Sizing BTU & Length Calculator
Size black iron and CSST corrugated gas pipe diameters under NFPA 54 and IFGC tables based on longest run length and total appliance BTU loads.
HVAC CFM Airflow & Air Changes Calculator
Calculate required supply CFM airflow based on room dimensions and target Air Changes per Hour (ACH) under ASHRAE Standard 62.1/62.2.
HVAC Duct Sizing & Friction Rate Calculator
Size round and equivalent rectangular sheet metal ducts using equal friction rate (0.08" to 0.10" w.g./100 ft) and CFM under ACCA Manual D.
Hydronic Baseboard BTU & Flow Rate Calculator
Calculate heat output in BTU/hr and required GPM flow rate for copper fin-tube hydronic baseboards using standard 20°F system delta-T (ΔT).
Heat Pump COP & HSPF2 Efficiency Calculator
Convert heat pump COP to HSPF2 efficiency ratings, calculate cold-climate capacity derating, and compare operating costs against electric resistance.
Refrigerant Subcooling & Superheat Calculator
Diagnose AC refrigerant charges (undercharged vs overcharged) calculating target superheat (piston) and target subcooling (TXV) under AHRI rules.
Kitchen Range Hood CFM & Makeup Air Calculator
Size kitchen range exhaust CFM by cooktop BTU (100 CFM per 10k BTU) and verify interlocked makeup air requirements under IRC Section M1503.6.
Combustion Air Opening Size Calculator
Calculate required combustion air louvers for enclosed furnace and water heater utility rooms under NFPA 54 indoor and outdoor air rules.
Psychrometric Dew Point & Grains (GPP) Calculator
Calculate air dew point temperature, moisture grains per pound (GPP), and vapor pressure from dry-bulb temperature and relative humidity.
Attic Ventilation 1/150 & 1/300 Rule Calculator
Size attic ventilation net free area (NFA) balancing 50% intake at soffits and 50% exhaust at ridge under IRC Section R806.
Crawlspace Dehumidifier Sizing Calculator
Size commercial crawlspace dehumidifier capacity in pints per day (PPD) based on square footage, soil vapor retarder, and dampness levels.
Sheet Metal Bend Allowance & K-Factor Calculator
Calculate sheet metal Bend Allowance (BA), Bend Deduction (BD), and flat pattern blank cut lengths using material K-factors.
Sheet Metal Outside Setback (OSSB) Calculator
Calculate Outside Setback (OSSB) and Bend Tangent Lines (BTL) for acute and obtuse sheet metal bends on press brakes.
Welding Shielding Gas Bottle Arc Time Calculator
Calculate remaining arc welding burn time in hours and minutes from cylinder pressure (PSI), tank volume, and flow rate (CFH).
MIG Wire Feed Speed & Deposition Rate Calculator
Calculate weld metal deposition rates in pounds per hour (lbs/hr) and wire consumption from Wire Feed Speed (WFS) and solid/flux-core wire diameter.
Welding Heat Input Calculator
Calculate heat input in kilojoules per inch (kJ/in) from welding voltage, amperage, and travel speed with arc efficiency thermal factors.
Fillet Weld Throat Thickness & Strength Calculator
Calculate effective throat thickness (0.707 × Leg) and allowable shear load capacity (kips per linear inch) for E70xx electrodes under AISC 360.
Machining Drill Press RPM & SFM Calculator
Calculate spindle RPM and feed rates for twist drill bits from Surface Feet per Minute (SFM) across mild steel, aluminum, brass, and stainless.
Metal Lathe Threading Change Gear Calculator
Calculate change gear tooth ratios for cutting imperial TPI and metric pitches on imperial or metric leadscrew metal lathes.
CNC Milling Feed Rate & Chip Load Calculator
Calculate table feed rate in Inches per Minute (IPM) from spindle RPM, flute count, and Feed per Tooth (chip load) across aluminum and steel.
Tap Drill Size & Thread Engagement Calculator
Calculate tap drill bit sizes for imperial UNC/UNF and metric threads to achieve optimal 70% to 75% thread engagement without tap breakage.
Crane Rigging Sling Angle Tension Calculator
Calculate tension increase on 2-leg, 3-leg, and 4-leg wire rope and synthetic bridle slings as horizontal sling angle drops from 60° to 30° under ASME B30.9.
Wire Rope Working Load Limit (WLL) Calculator
Calculate Working Load Limit (WLL) and Minimum Breaking Force (MBF) for 6x19 and 6x36 EIPS bright and galvanized steel wire rope under OSHA 5:1.
Rigging Shackle Angular Derating Calculator
Calculate Working Load Limit (WLL) reductions for bow and D-shackles when side-loaded at 45° (30% derate) and 90° (50% derate) under ASME B30.26.
Winch Line Pull & Snatch Block Mechanical Advantage
Calculate pulling capacity increases (2:1 and 3:1) using snatch blocks and determine anchor point reaction loads under SAE J706.
Manual Chain Fall Hoist Effort Calculator
Calculate manual hand-chain pull force in pounds required to hoist heavy equipment based on hoist ton rating and internal gear mechanical advantage.
Forklift Load Center Derating Calculator
Calculate forklift capacity derating when handling long or oversized loads past the standard 24-inch load center under OSHA 1910.178.
Scaffold Plank Span & Load Capacity Calculator
Verify scaffolding plank allowable spans and uniform loading (25, 50, and 75 psf) with L/60 deflection limits under OSHA 1926.451.
Extension Ladder 4:1 Angle & Reach Calculator
Calculate extension ladder base setback distance (4:1 ratio / 75.5°), 3-foot roofline extension, and actual vertical working reach under OSHA 1926.1053.
OSHA Trench Soil Sloping & Shoring Calculator
Determine maximum allowable trench cut slopes (Type A 3/4:1, Type B 1:1, Type C 1.5:1) and trench box shoring depths under OSHA 1926 Subpart P.
Fall Protection Total Fall Clearance Calculator
Calculate total required fall clearance distance (TFCD) including lanyard length, shock absorber deceleration, harness stretch, and safety margins.
Concrete Anchor Bolt Pullout & Shear Strength Calculator
Calculate concrete breakout cone pullout strength, steel shear capacity, and minimum edge distance for wedge and cast-in anchor bolts under ACI 318.
Adjustable Steel Post Shore Capacity Calculator
Calculate safe load capacity in kips and pounds for adjustable steel Acrow post shores as extension height increases under SSFI standards.
Window & Door Header Sizing Calculator
Size wood headers (2-2x6 through 2-2x12 or LVL) for exterior bearing and interior walls supporting roof and floors under IRC Table R602.7(1).
Window & Door Stud Framing Cut List Calculator
Generate exact cut lengths for king studs, jack studs (trimmers), header, sill, and top/bottom cripples for standard 8ft, 9ft, and 10ft framed walls.
Stairwell Headroom Clearance Calculator
Verify stairwell ceiling headroom clearance (minimum 6 feet 8 inches continuous) and calculate required floor opening rough header dimensions.
Curved Stair Walkline & Radius Calculator
Calculate curved and circular stair inner radius, outer radius, and tread run depths along the mandatory 12-inch code walkline under IRC R311.7.5.2.
Drywall Hanging Orientation & Joint Calculator
Compare horizontal versus vertical drywall hanging: calculate total sheets, butt joint counts, and taped seam linear footage.
Paint Dry Film Thickness (DFT) & Coverage Calculator
Calculate Dry Film Thickness (DFT) in mils from Wet Film Thickness (WFT) and paint percent volume solids under SSPC-PA 2 standards.
Insulation R-Value & Thickness Sizing Calculator
Determine required insulation R-values by IECC climate zone (R-13 to R-60) and calculate required thickness in inches across fiberglass, cellulose, and spray foam.
Blown-In Attic Cellulose Bag Count Calculator
Calculate manufacturer coverage chart bag counts and settled thickness for blown-in loose-fill cellulose attic insulation (R-38, R-49, R-60).
Continuous Wall Insulation Dew Point Calculator
Verify minimum exterior continuous rigid insulation R-values (R-5 to R-15) to keep wall sheathing above indoor dew point under IRC Table R702.7.1.
Acoustic Sound Transmission Class (STC) Calculator
Estimate STC acoustic sound isolation ratings for single stud, staggered stud, and double wall assemblies with resilient channel and Green Glue.
Roof Gutter & Downspout Sizing Calculator
Size 5-inch vs 6-inch K-style gutters and 2x3 vs 3x4 downspouts based on roof drainage square footage, pitch factor, and rainfall intensity.
Masonry Chimney Flue Sizing Calculator
Size rectangular and round clay tile chimney flues (1/10th fireplace opening rule or appliance BTU venting) under NFPA 211 and IRC R1003.
Roof Valley Flashing Width & W-Profile Calculator
Size open metal valley flashing sheet width (20" to 24" wide) with central W-profile water diversion ribs under NRCA and IRC R905.2.8.2.
Lap Siding Square & Exposure Calculator
Calculate siding squares (100 sq ft) and exposure dimensions (4" to 7" reveal) for fiber cement (Hardie) and cedar lap siding.
Board and Batten Siding Spacing Calculator
Calculate equal on-center batten spacing, board reveals, and batten strip counts for vertical board and batten exterior siding.
Soffit Vent Intake vs Exhaust Balance Calculator
Balance roof ventilation net free area (NFVA) to ensure eaves intake exceeds ridge exhaust (50% to 60% intake rule) under IRC R806.
Structural Steel I-Beam Deflection Calculator
Calculate maximum bending moment, section modulus (Sx), and midspan deflection for AISC wide-flange W-beams under uniform and center-point loads.
Bolt Torque to Clamping Force Calculator
Calculate bolt tensile preload clamping force and tightening torque (T = K·D·F) across SAE Grade 2, Grade 5, Grade 8, and Metric 8.8/10.9 fasteners.
Ball & Roller Bearing L10 Life Calculator
Calculate ISO 281 L10 and L10h bearing basic rating life in operating hours from dynamic load rating C, equivalent radial load P, and RPM.
V-Belt Length & Pulley Center Distance Calculator
Calculate RMA standard V-belt pitch length and required pulley center distance from driver and driven pulley diameters and center spacing.
Gear Train Ratio & Output Speed Calculator
Calculate compound gear train reduction ratios, output spindle RPM, and mechanical torque multiplication from driver and driven tooth counts.
Roller Chain Link Count & Center Distance Calculator
Calculate exact roller chain pitch lengths, even link counts, and exact shaft center distances for ANSI #35, #40, #50, #60, and #80 sprockets.
Shaft Keyway Shear Stress & Length Calculator
Calculate standard square key dimensions, shear stress, and required key length under transmitted motor horsepower and shaft torque.
Flywheel Kinetic Energy & Inertia Calculator
Calculate mass moment of inertia (I = 1/2 m r²) and stored rotational kinetic energy in joules and foot-pounds for solid and rim flywheels.