Drawing scales
The architect's and engineer's scales used in a US construction set, what each one means in feet of building per inch of paper, and a free calculator that converts a paper measurement to a building dimension and back.
Scale calculator
Both directions at once. Change the scale and watch both answers move, which is the fastest way to feel what a scale actually is.
8 feet of building for every inch of paper.
20'-0"
20.00 ft at 1/8" = 1'-0"
3.000 in
24'-0" at 1/8" = 1'-0" draws at this paper length.
The scales in this set
| Scale | Family | Feet per paper inch | One inch of paper is | 10 feet draws at |
|---|---|---|---|---|
| 1/8" = 1'-0" | Architect's | 8 | 8'-0" | 1.250 in |
| 1/4" = 1'-0" | Architect's | 4 | 4'-0" | 2.500 in |
| 3/4" = 1'-0" | Architect's | 1.333 | 1'-4" | 7.500 in |
| 1 1/2" = 1'-0" | Architect's | 0.667 | 0'-8" | 15.000 in |
| 1" = 20' | Engineer's | 20 | 20'-0" | 0.500 in |
Reading a scale
An architect's scale is written as a paper length that equals one foot: 1/8" = 1'-0" means an eighth of an inch on the paper is a foot of building. Turn that into the number you actually want, feet per inch of paper, by asking how many of those paper lengths fit in one inch. Eight eighths fit in an inch, so an inch is eight feet. Four quarters fit in an inch, so 1/4" = 1'-0" is four feet to the inch, which is exactly twice as large a drawing as the eighth inch one.
An engineer's scale is written the other way round, as one inch equals a round number of feet: 1" = 20'. Site plans, roads and utilities use it because a lot is measured in hundreds of feet, not in inches. The two families are not interchangeable and a set uses both, which is why the scale is stated on every drawing and not just once on the cover.
Two habits keep you out of trouble. First, read the scale of the drawing you are looking at, not the scale of the sheet, because one sheet often carries drawings at different scales and each one states its own. Second, when you are holding a print, check the bar scale before you measure anything. The words in the title block survive photocopying and resizing; the bar scale does not, and that is the whole reason it is drawn.
Common US sheet sizes
| Size | Dimensions |
|---|---|
| ARCH A | 9" x 12" |
| ARCH B | 12" x 18" |
| ARCH C | 18" x 24" |
| ARCH D | 24" x 36" |
| ARCH E | 36" x 48" |
| ARCH E1 | 30" x 42" |
This set is drawn on ARCH D, 24 by 36 inches, in landscape.