WoodCalc Pro

5/12 Roof Pitch

A 5 in 12 roof rises 5″ for every 12″ of horizontal run. Ranch and split-level homes; a good balance of attic space and walkability.

Angle

22.62°

Percent grade
41.7%
Rafter factor
1.0833
Rafter per foot of run
13″
Hip/valley per foot
17.69″
Plumb cut
22.6°
Seat cut
67.4°

On a speed square, pivot to 5 on the "common" scale for the plumb cut. On a framing square, set 5″ on the tongue and 12″ on the body.

run 12″rise 5″22.6°

Walkable for most roofers in dry conditions; still use fall protection over 6 ft (OSHA 1926.501).

5/12 rafter length by building span

Gable roof, 1½″ ridge board, measured along the top edge from the ridge to the outside of the wall. Add the overhang: 13" of rafter per foot of level overhang.

Building spanRafter runRiseRafter lengthWith 12″ overhang
12 ft5′ 11 1/4"2′ 5 11/16"6′ 5 3/16"7′ 6 3/16"
16 ft7′ 11 1/4"3′ 3 11/16"8′ 7 3/16"9′ 8 3/16"
20 ft9′ 11 1/4"4′ 1 11/16"10′ 9 3/16"11′ 10 3/16"
24 ft11′ 11 1/4"4′ 11 11/16"12′ 11 3/16"14′ 3/16"
28 ft13′ 11 1/4"5′ 9 11/16"15′ 1 3/16"16′ 2 3/16"
30 ft14′ 11 1/4"6′ 2 11/16"16′ 2 3/16"17′ 3 3/16"
32 ft15′ 11 1/4"6′ 7 11/16"17′ 3 3/16"18′ 4 3/16"
36 ft17′ 11 1/4"7′ 5 11/16"19′ 5 3/16"20′ 6 3/16"
40 ft19′ 11 1/4"8′ 3 11/16"21′ 7 3/16"22′ 8 3/16"

Different span, ridge or overhang? The rafter calculator works out the birdsmouth, HAP and ridge height for your roof.

Roof area at 5/12

1,456 sq ft · 14.6 squares · 51 sheets of 4×8 sheathing (10% waste)

Roofing materials allowed at 5/12

  • Asphalt shingles
    Allowed; single underlayment layer (R905.2.2).
  • Clay and concrete tile
    Allowed (R905.3.2).
  • Wood shingles
    Allowed from 3/12 (R905.7.2).
  • Wood shakes
    Allowed from 3/12 (R905.8.2).
  • Slate
    Allowed from 4/12 (R905.6.2).
  • Metal panels, lapped without sealant
    Allowed from 3/12 (R905.10.2). Standing-seam and sealed-lap panels go lower.
  • Low-slope membrane (EPDM, TPO, modified bitumen)
    Allowed, but usually reserved for slopes under 2/12.

Minimum slopes from the 2021 International Residential Code, Section R905. Manufacturers and local amendments can be stricter.

Compare other pitches

Questions people ask

What angle is a 5/12 roof pitch?
A 5/12 roof rises 5 inches for every 12 inches of horizontal run, which is 22.62° (arctan(5/12)). As a percent grade it is 41.7%.
What is the rafter factor for a 5/12 pitch?
1.0833. Multiply the horizontal run by 1.0833 to get the sloped rafter length, or multiply the building footprint (with overhangs) by it to get the roof area. Each foot of run needs 13" of rafter.
How long is a rafter on a 5/12 roof?
For a 24 ft wide building with a 1½" ridge board, the run is 143.25", so the rafter is 12′ 11 3/16" from ridge to wall line, before the overhang. The table on this page gives lengths for other spans, and the rafter calculator handles your exact numbers including birdsmouth and tail.
Can you put shingles on a 5/12 roof?
Allowed; single underlayment layer (R905.2.2). Always follow the shingle manufacturer's installation instructions as well.
Is a 5/12 roof walkable?
Walkable for most roofers in dry conditions; still use fall protection over 6 ft (OSHA 1926.501).
How much roof area does a 5/12 pitch add?
8.3% more than the flat footprint. A 30 × 40 ft house with 1 ft overhangs (32 × 42 = 1,344 sq ft) has about 1,456 sq ft of roof, or 14.6 roofing squares before waste.