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Benchwright
Sources

Method

How parts become a cutting list

What a finished size includes, what is added before you buy, and where each number comes from.

One model, three readings

Each bench is one description of its parts, worked out afresh from your measures every time you change one. The model, the drawings and the cutting list are all read from that one description, so they cannot disagree with each other. A figure you type on the drawing changes the same measure as the rule beside it.

Every part is set down where it sits in the finished bench, with the timber it is made of and the timber cut out of it: mortises, sockets, holes. The drawings show both. The cutting list shows the blank you saw before any of that is cut.

What a finished size includes

The sizes in the list are finished sizes: the part planed and cut to length, with its tenons. A stretcher is listed at its length between shoulders plus both tenons. Where a part carries a trim allowance the source asks for, such as a joint left proud to be planed flush, the allowance is in the figure and the note under the part says so.

Length is along the grain. Width is the larger of the other two. Sizes are kept to the tenth of a millimetre, which is finer than a pencil line. In inches they are shown to the nearest sixteenth.

Parts that are the same piece of wood are merged into one row with a count. Rows run top, base, shelf, workholding, pegs, and within each the longest first. They are marked A, B, C in that order, and after Z, AA. The letter in the list is the letter in the balloon on the drawing, and the one to pencil on the timber. Bought hardware takes no mark and is listed last.

The list does not add a horn. If you chop a mortise near the end of a piece, leave it long and saw the horn off afterwards: 1 to 3 in over the finished length in all, by Fairham, c. 1920.

From the list to the timber yard

“Timber to buy” is worked from the finished list in four steps. Two of the four numbers are our judgement. The research found no source that gives a general figure for either, so neither is shown as tradition.

  1. Length

    Each piece is bought 25 mm longer than its finished length, to square the ends. Width is taken as finished.

  2. Thickness

    Start from what the stock yields. Hardwood is sold rough by the quarter and surfaced on two sides. A part takes the thinnest quarter that surfaces to at least its finished thickness. The table gives what the mill surfaces to; a board that is not flat will not yield it.

    USDA Forest Products Laboratory, 2021, Table 6-4

    American hardwood, rough and surfaced
    Sold asRough, mmSurfaced, mmSurfaced, in
    4/4252113/16"
    5/432271 1/16"
    6/438331 5/16"
    8/451441 3/4"
    10/463572 1/4"
    12/476702 3/4"
    16/4102953 3/4"

    Softwood is sold dressed at a nominal size: a 1x is 19 mm thick and a 2x is 38 mm. A part no thicker than the dressed board uses it as bought. The same table gives the heavier sections, 3x at 64 mm and 4x at 89 mm: a part thicker than a 2x and no thicker than one of these is one piece of it, so an 89 mm leg is a 4x4. The widest board is a 2x12, 286 mm.

    USDA Forest Products Laboratory, 2021, Table 6-6

  3. Layers

    A part thicker than the heaviest board is glued up in layers, and the count is the finished thickness divided by what one layer yields, rounded up. A 2x framing board yields 32 mm once it is dry and flat, so a softwood leg 127 mm thick is four layers of 2x. That is the only softwood glue-up the research documents, so the heavier sections are never counted in layers.

    Schwarz, 2020

    Hardwood thicker than 16/4 surfaces to (95 mm) takes the fewest layers that reach the thickness, in the lightest quarter that does it in that many. 127 mm, for instance, is two layers of 12/4. No source says which quarter to glue up from.

    A softwood part wider than a 2x12 is glued edge to edge from the fewest boards that reach across. One that is both wider than a 2x12 and thicker than a 4x can only come from framing stock as strips on edge, and so does any top the bench calls laminated: each strip is ripped 13 mm wider than the top is to finish thick, so the top can be planed after the glue-up. Hardwood strips are taken from 8/4, which is Benchcrafted's choice; Farnsworth's 2 in oak is about the same. Hardwood is sold in random widths that no source tabulates, so its width is taken as it is.

    from the tables above and the strip sizes in the Roubo research

    A slab top or any part the bench says is one piece is never glued up. If no standard board covers it, it is listed at its own size, to be sawn to order, with no thickness added for flattening, since no source read gives a figure. Pegs, wedges and keys are listed apart and are in no volume and not in the mass; they come from offcuts of dry hardwood. Parts a source says to make of a hard wood, on a softwood bench, are counted apart from the hardwood table.

    No source gives what a 1x yields, so it is taken at its dressed 19 mm. A timber the species table does not hold is treated as hardwood.

  4. Waste

    The volume of every piece at its bought thickness and bought length is added up, and 15 percent is added for defects and offcuts. That total is given in cubic metres and in board feet of actual volume, which is how rough hardwood is sold. Softwood is sold by the piece, so it is also listed by nominal section, with the lengths and their run and the board feet counted at nominal size.

One line, worked through

The Roubo as the sheet first draws it, in Scots pine (European redwood), which is bought as dressed softwood. The arithmetic is done in millimetres whatever units you read the sheet in.

Mark C, Leg, 4 off
Finished size804 long, 127 wide, 127 thick
Length to buy804 + 25 = 829
Stock4 layers of 2x, each 38 thick as bought
Volume as bought4 × 829 × 127 × 38 × 4 = 0.0640 m³
The whole list
Finished parts0.293 m³
As bought, before waste0.350 m³
With 15 percent for waste0.403 m³, which is 171 board feet
Mass of the finished timber0.293 × 550 = 161 kg

Units and constants

The sheet works in millimetres and shows millimetres or inches. Switching units changes how the figures are written. The bench stays the same. Roubo’s own units appear only as a read-out on his bench and in the labels of his bands.

QuantityValueStanding
1 inch25.4 mmDefinition
1 pouce27.07 mm, 1.066 inThe standard value for the pied du roi. Not taken from any of the bench sources.
1 pied12 pouces, 324.8 mmAs above
1 ligne1/12 pouce, 2.256 mmAs above
1 board foot144 cubic inches; 424 to the cubic metreDefinition; the conversion is derived
Inches, as writtenFractions to the nearest 1/16Our judgement
Sizes in the listKept to 0.1 mmOur judgement

The timbers

The mass of a bench is the volume of its finished parts times the density of the timber: at 12 percent moisture content for the handbook timbers, and for the Australian ones WoodSolutions’ “seasoned” figure, whose moisture content it does not state. The timber cut out of the joints is not subtracted, so the figure reads a little heavy.

Southern yellow pine is a trade group of several trees, so it has three rows. A timber the research does not tabulate is left out; each row names its source in the last column.

Shrinkage is from green to oven dry for the handbook timbers; WoodSolutions does not state the basis of its figures for the Australian ones. Single boards vary: the handbook puts the spread at about 15 percent, and more in commercial timber.

Timberkg/m³Radial %Tangential %Hardness, NSoldFrom
Southern yellow pine, longleaf6605.17.53870dressed1
Southern yellow pine, loblolly5704.87.43070dressed1
Southern yellow pine, shortleaf5704.67.73070dressed1
Douglas fir, coast5404.87.63160dressed1
European beech7105.811.76460rough2
American beech7155.511.95780rough1
Hard (sugar) maple7054.89.96450rough1
White ash6704.97.85870rough1
White oak7605.610.56050rough1
European (English) oak6754.78.44980rough2
Northern red oak7054.08.65740rough1
Scots pine (European redwood)5505.28.32420dressed2
Poplar (yellow-poplar, tulipwood)4704.68.22400rough1
Victorian ash6505.28.55000rough3
Messmate (Tasmanian oak)7705.111.37300rough4
Blackbutt9004.37.38900rough5
Spotted gum9904.36.110100rough6
Jarrah8204.87.48500rough7
Radiata pine5503.05.03300dressed8
Hoop pine5302.53.63400dressed9
  1. USDA Wood Handbook, FPL-GTR-282 (2021), Tables 4-3 and 5-3b. Density derived from specific gravity at 12 percent by equation 4-14.
  2. Eric Meier, The Wood Database. A secondary compilation; the USDA handbook does not tabulate this timber.
  3. WoodSolutions (Forest and Wood Products Australia), "Ash, Victorian".
  4. WoodSolutions (Forest and Wood Products Australia), "Messmate", woodsolutions.com.au/wood-species/hardwood/messmate.
  5. WoodSolutions (Forest and Wood Products Australia), "Blackbutt", woodsolutions.com.au/wood-species/hardwood/blackbutt.
  6. WoodSolutions (Forest and Wood Products Australia), "Gum, spotted", woodsolutions.com.au/wood-species/hardwood/gum-spotted.
  7. WoodSolutions (Forest and Wood Products Australia), "Jarrah", woodsolutions.com.au/wood-species/hardwood/jarrah.
  8. WoodSolutions (Forest and Wood Products Australia), "Pine, radiata", woodsolutions.com.au/wood-species/softwood/pine-radiata.
  9. WoodSolutions (Forest and Wood Products Australia), "Pine, hoop", woodsolutions.com.au/wood-species/softwood/pine-hoop.

Sourced, derived, our judgement

A rule on a sheet is sourced when a book or a measured bench states it; the note names the book and the page or plate. It is derived when it is our arithmetic from sourced numbers, and it is our judgement when no source gives it at all. Each rule carries a tag saying which of the three it is.

These parts of the arithmetic on this page are derived:

  • The height each sheet starts at: 0.45 of your height, held to the bench’s own range. That is the ratio of Schwarz’s own bench, 34 in, to his own stature, 6 ft 3 in. It rests on one man, who calls himself an outlier. The rule he actually gives is a measurement of your own body, and the sheet asks for it. The estimate is held between 711 and 990 mm and then inside each bench’s own range, and a height is good anywhere in a band of about 76 mm. Schwarz, 2020
  • The density of the American timbers, from the handbook’s specific gravity at 12 percent.
  • Board feet from cubic metres.

These are our judgement; no source gives them:

  • The maker the site assumes before you say who you are: 1780 mm tall, working in millimetres.
  • The timber a bench starts in until you choose one: the softwood most yards sell where you buy. That is radiata pine framing in Australia, loblolly southern yellow pine in the United States, and Scots pine, sold planed as redwood, in the UK and Europe.
  • The 25 mm added to each length and the 15 percent added for waste.
  • What a 1x board yields, and that a part up to 38 mm thick uses a 2x as bought.
  • The least and greatest value of any measure where no source gives a range. The rules of each bench say which those are.

What the site does not know

  • How wet your timber is. Mass is at 12 percent for the handbook timbers. Construction timber comes from the yard wetter than that; buy early, stack it and wait. Schwarz, 2020
  • Your merchant’s exact sizes. The yard lists for Australia, the United States and Britain are taken from merchants’ own pages; mills differ and no standard was consulted. Switch off what your yard does not keep, and check the finished size before you buy.
  • The best layout of parts on boards. The cutting plan picks sections for the least timber bought and packs the lengths first-fit, longest first. That is close to the least, not always the least.
  • Defects, grain and the board you will reject at the rack.
  • What it costs, until you type in your yard’s prices.
  • Anything the research could not source. Roubo’s plate was not measured, the museum’s measurements of the Moravian bench are not published, and paid plans were not read. Each gap is named where it bears on a measure.