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8/12 roof pitch: 33.69 degrees

A 8/12 roof pitch is 33.6901° to four places. Its multiplier, or rafter factor, is 1.201850, its grade is 66.67% and its slope ratio is 1 : 1.5.

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ROOF ANGLE 0.5880 RAD

33.6901°≈

PERCENT GRADE66.67%
SLOPE RATIO 1 : n1 : 1.5
RISE PER 128
RAFTER FACTOR1.201850

Multiply your run by 1.201850 for the rafter length. Hips and valleys at this pitch are in the app.

angle = atan(rise ÷ 12) atan(8 ÷ 12) = 33.6901° RISE PER 12 IN OF RUN

Rafter length at 8/12, by span

Run is half the span on a symmetrical gable. Length is along the rafter, before any birdsmouth, ridge or tail is taken off.

Building spanRunRafter lengthDecimal feet
20 ft10 ft12' 1/4"12.019 ft
24 ft12 ft14' 5-1/16"14.422 ft
28 ft14 ft16' 9-15/16"16.826 ft
32 ft16 ft19' 2-3/4"19.230 ft
36 ft18 ft21' 7-5/8"21.633 ft

Every row is the run multiplied by 1.201850, the rafter factor for 8/12. The multiplier for every pitch is on the roof pitch multiplier table.

What 8/12 means on the roof

Eight in twelve is past the point where most roofers will walk it freely. Price the labour with roof jacks and staging in it, because the crew will be working off something.

The working is the arctangent of the rise over the run: atan(8 ÷ 12) = 33.6901°. The rafter factor is the hypotenuse of the same triangle over its base, √(12² + 8²) ÷ 12, which is why multiplying any run by 1.201850 gives the rafter. That figure is the roof pitch multiplier, and it is the same number whatever the size of the roof.

A hip or valley where both roofs are 8/12 runs at 45° across the plan, so it is longer than the common rafter beside it: 1.5635 ft of hip for every foot of common run, which is 15' 7-5/8" over a 10 ft common run against 12' 1/4" for the rafter.

Shingle slope limits quoted here are from the IRC, the United States model code. Your state, province or county may amend them, and several do.

Other pitches: 1/12 · 2/12 · 3/12 · 4/12 · 4.5/12 · 5/12 · 6/12 · 6.5/12 · 7/12 · 9/12 · 10/12 · 11/12 · 12/12. Every pitch from 1/12 to 24/12 is on the roof pitch to degrees chart.

Hips and valleys in the app

This page gives you the angle and the factor. The Sawline app solves the rafter from any two of rise, run, diagonal and pitch, and the hip or valley from the same numbers, and it works with no signal. Yearly or monthly with a free trial, or a one-time lifetime purchase. No account.

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