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Stud count from wall length
Divides the wall length by the spacing, rounds up to a whole number of spaces, then adds the stud at the far end. Both ends of a wall need a stud.
The Formula
n = ceil(L / s) + 1
Divides the wall length by the spacing, rounds up to a whole number of spaces, then adds the stud at the far end. Both ends of a wall need a stud.
| Symbol | Meaning | Unit | Notes |
|---|---|---|---|
| L | Wall length | metres | Measured along the wall, in metres. |
| s | Stud spacing | metres | Centre to centre, converted from millimetres to metres. |
| n | Stud count | studs | Spaces plus one, plus any studs added for openings. |
What Each Symbol Means
Lmetres
Wall length
Measured along the wall, in metres.
smetres
Stud spacing
Centre to centre, converted from millimetres to metres.
nstuds
Stud count
Spaces plus one, plus any studs added for openings.
See It Worked With Real Numbers
A formula on its own does not tell you which number goes where. The how to calculate lumber for framing page applies this equation to a concrete case, shows every intermediate step, and names the mistakes that produce a wrong answer even when the algebra is right.
Where This Formula Appears
This equation is the working core of How To Calculate Lumber For Framing, filed under Everyday Life. Every number the guide produces comes from substituting into this one line.