For the south side of the home you should follow basic solar design principles.
Roof overhang minimum.
However you can only use this pitch with built up roofing or specialized synthetic roofing.
The edge of the shingles should hang over the edge of the roof between an inch and an inch and a half or between a half inch and three quarters of an inch if drip edge flashing is installed and in most cases it should be.
But the tables that follow are a lot more specific.
The minimum pitch for a roof is 1 4 12 which translates to 1 4 inch rise to 12 inches of run.
When constructing a roof framework the rule of thumb is that any purlin should have a minimum nominal depth and width of 76 mm or 50 mm and max centre to centre spacing between the purlins ought to be 1 2 m.
Roof overhangs can extend farther than 2 feet but beyond this length they begin to lose structural integrity and require external supports.
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The roof overhang will be 36 inches at the eaves measured horizontally and 36 inches at the gable ends.
This can make extensive roof overhangs more trouble than they are worth in all but the harshest climates.
Some slight overhang is recommended in conjunction with a drip edge flashing to prevent water from getting under the roofing and onto underlying wood.
Anything else is down to design but the more the better.
Ensure to detail the fascia so that rain is cast off and does not track back under the soffit.
A typical metal roof overhang may be 2 to 4 inches or even less.
Metal is usually installed on rafters or strip sheathing rather than the solid decking used under other materials.
There is a certain logic in extending the gable overhang further the higher you get as you mention but that complicates the roof and i don t like the look of it.
Figure r804 3 2 1 2 gable endwall overhang details.
This will protect a roof from most types of damage.
Weather and not properly protected by a roof eave or similar covering table r802 11 required strength of truss or rafter connections to resist wind uplift forcesa b c e f pounds per connection r804 3 2 1 1 eave overhang.
Knowledgeable roofers will install shingles at just the right overhang for your roof type.
The minimum is 50mm to allow for a drip.
Eave overhangs shall not exceed 24 inches 610 mm measured horizontally.