Pitch

Framing, roofing, and truss calculators

A stair that fits the total rise, a roof pitch you can say three ways, a roof counted in squares and priced from your own quotes, the board length of a truss skeleton, a deck counted in boards and fasteners, and a wall counted in studs, plates, and sheets. Those counts are not a structural design.

How these calculators work

The stair calculator divides the total rise into equal risers at or under the maximum you set. The default maximum is IRC R311.7.5.1, 7¾ inches, and the tread check is R311.7.5.2, 10 inches. A flight that would rise more than 151 inches is flagged for a landing. Each extra flight adds a 36-inch straight landing to the run, from R311.7.6. The stringer length here is one flight. The woodworking stringer calculator cuts that flight, including nosing and throat.

Roof pitch is the same triangle as a rafter. Rise ÷ run × 12 is the pitch. Degrees are arctan of the slope. Percent is the slope times 100. The rafter multiplier is the hypotenuse of 1 and the slope, so a 6/12 is √1.25 = 1.118. Measure a rise and a run, or enter an angle, and the other three follow. The rafter calculator takes the rise-per-12 figure and a span. The roofing calculator multiplies the footprint by that same factor, then counts squares, bundles, underlayment, drip edge, and hip-and-ridge cap. The roofing cost page uses that area and the prices you type. It is not a bid.

The truss calculator uses that same multiplier for the top chord, then adds the webs of a king post, a four-panel Fink, or a four-panel Howe. It reports board lengths. It does not check a load, a span rating, or a plate. A truss has to be engineered. Order it from a truss manufacturer or ask an engineer.

The deck calculator counts boards, joists, and fasteners. Boards run across the joists. Joists include both ends, and the last bay is shorter when the width does not divide evenly. It does not size a joist or a beam and it does not check a span. IRC R507, AWC DCA 6, and the local building department decide the lumber.

The framing calculator counts studs, plate pieces, header lengths, and sheathing sheets for a wood wall. Layout studs run the whole wall. Openings add kings and jacks. It does not size a header or a stud, and it does not check the spacing against a load. IRC R602 and Table R602.7 are where those rules live. The beam page is an educational deflection check, not a size. The plywood page counts sheets. It does not pick a span rating.