Worked calculator example: a straight deck-stair input set
Enter a 96 in total rise, 7.5 in target rise, 10 in target run, standard top-step style, 36 in stair width, three stringers, risers included, and 12 ft stock boards for the preliminary tread and riser counts. These numbers are a calculator check only; they do not approve a deck stair.
- Step count = round(96 ÷ 7.5) = round(12.8) = 13 risers.
- Exact rise = 96 ÷ 13 = 7.385 in per riser (rounded for display).
- With standard top style, tread count = 13 − 1 = 12 treads.
- Total run = 12 × 10 = 120 in, or 10 ft.
- Geometric diagonal = √(96² + 120²) = 153.67 in, or about 12.80 ft.
- The calculator's 12 in purchase-length addition produces 165.67 in, so its fixed length list displays a 14 ft stock length.
For the simple board arithmetic, a 12 ft board contains floor(144 ÷ 36) = 4 width cuts. The calculator therefore displays three tread boards for 12 treads and four riser boards for 13 risers. That is an intentionally basic count: it does not choose board width, number of plies per tread, riser material, fasteners, spacing, cut strategy, or usable offcuts.