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Tradefox

Carpentry calculators. 61 tools for timber, joinery, roofs and stairs.

Geometry

GeometryRectangle area & perimeterA=LWGeometryTriangle areaA=bh2GeometryCircle area & circumferenceA=πd24GeometryRise, run, slope & rakeL=x2+y2

Setting out

Setting outSquare a rectangular set-outdt=L2+W2Setting out3–4–5 setting-out trianglesides=3k,4k and 5kSetting outFall from a 1:n gradientf=xn×1000Setting outLevel-book calculationHI=RLknown+BSSetting outDrawing scalelr=ldnSetting outEqual centres along a memberp=L−2mn−1Setting outEqual clear gaps / balustersg=W−nbn+1Setting outCount for a maximum clear gapn=⌈W−gmaxb+gmax⌉

Site maths

Site mathsMaterial mass & self-weightm=VρSite mathsPacks, units & wasteT=⌈N(1+w100)⌉Site mathsJob estimate & VATB=qu+Dr+CoSite mathsLabour durationDw=UrSite mathsLength, area & volume conversionslm=lmm1000

Materials

MaterialsTimber volume & linear metresLt=nlMaterialsBoard feet to metric volumeBF=twln12MaterialsRound timber volumeV=π(d1000)24lnMaterialsSheet material area estimateAs=lb106MaterialsSheet layout: two orientationsNA=⌈Ll⌉⌈Ww⌉MaterialsFlooring packsAo=A(1+w100)MaterialsFloorboard rows & balanced edgesu=W−2gMaterialsDeck board rows & equal gapss=W−2eMaterialsCladding cover & linear metresL=Ac1000MaterialsTimber movement estimateΔW=Wc100ΔMMaterialsFinish / adhesive coverageV=AncMaterialsFixing quantity allowanceN=⌈mf(1+w100)⌉

Framing

FramingStud / joist centre spacingb=⌈Scmax⌉FramingNoggins between uniform membersl=c−tFramingStud length between platesls=H−tb−tt

Cutting & joints

Cutting & jointsIdentical cuts from stockLu=Ls−TCutting & jointsEqual flat mitres at a cornerα=θ2Cutting & jointsRegular polygon mitresθ=180−360nCutting & jointsCoving / crown compound anglesα=arctan[sinφtan(θ2)]Cutting & jointsMitre long point / short pointΔ=wtanθCutting & jointsEqual half-lap depthd=t2Cutting & jointsTaper marking angleo=W−w

Second fix

Second fixSkirting / perimeter trimLnet=2(L+W)−D+RSecond fixArchitrave: three-sided long pointslleg=H+r+tSecond fixDoor leaf clearance arithmeticwleaf=W−gl−grSecond fixLining outer sizeWo=W+2t

Bench joinery

Bench joineryPanel in a grooved framewp=W+2d−cw,hp=H+2d−chBench joineryDrawer box between slidesWbox=O−al−arBench joineryCentred tenon shoulderss=T−t2Bench joineryDovetail slope angleθ=arctan(1n)Bench joineryRouter guide-bush offseto=Db−dc2

Roof geometry

Roof geometryCommon rafter line lengthR=xtanθRoof geometryRidge thickness line deductiondh=t2Roof geometryEqual-pitch hip / valley linexp=x2Roof geometryEqual-pitch jack length differenceΔ=scosθRoof geometryRoof covering area from planAs=AhcosθRoof geometryFirring strip taperr=Ln

Stair geometry

Stair geometryStraight stair: rise, going & pitchr=HNStair geometryRiser count from a specified maximumN=⌈Hrmax⌉Stair geometryStair pitch-line segments=r2+g2Stair geometryTread blank depthD=g+p+eStair geometryVertical clearance to a level soffithp=h0+xrg

Load arithmetic

Load arithmeticShelf deflection: simple elastic modelI=bh312Load arithmeticCentral point-load beam arithmeticI=bh312