Topic: Roof Framing.
You can calculate the unadjusted hip/valley-jack length for your roof by using the following equation.Finding the Length of Jack-Rafters.
You can calculate the unadjusted hip/valley-jack length for your roof by using the following equation.O.C./Cos(roof pitch angle) * Tan(plan angle)
O.C. represents the "on center" spacing of your members. Common spacing is 16" and 24", but 19-3/16" is becoming popular as well.
Roof pitch angle is the angle at the common rafter makes with your roof. If you have an 8/12 roof, the angle would be 33.69°. You can find any roof angle by Tan-1(roof pitch/12).
Plan angle is the angle that the hip/valley makes with the "corner" of the roof. A standard hip roof makes a 45° angle.
If you were working with a standard hip roof with an 8/12 pitch with 16" you could find the first jack length as follows;
- O.C./Cos(roof pitch angle) * Tan(plan angle)
- 16 / Cos (33.69) * Tan (45)
- 19.23 * 1
- 19.23 or 19-1/4"
This measurement is also called the "Common Difference". This means the adding this amount to itself would give the "next" jack length.
- 19.23 + 19.23 = 38.46 or 38-7/16"
Another cool thing is you can find the length of any jack in any position by using (O.C./Cos(roof pitch angle) * Tan(plan angle)) * (Position).
If you wanted to know the length of the third jack, "position" would be 3. 19.23 * 3 or 57.69
O.C./Cos(roof pitch angle) * Tan(plan angle)
O.C. represents the "on center" spacing of your members. Common spacing is 16" and 24", but 19-3/16" is becoming popular as well.
Roof pitch angle is the angle at the common rafter makes with your roof. If you have an 8/12 roof, the angle would be 33.69°. You can find any roof angle by Tan-1(roof pitch/12).
Plan angle is the angle that the hip/valley makes with the "corner" of the roof. A standard hip roof makes a 45° angle.
If you were working with a standard hip roof with an 8/12 pitch with 16" you could find the first jack length as follows;
- O.C./Cos(roof pitch angle) * Tan(plan angle)
- 16 / Cos (33.69) * Tan (45)
- 19.23 * 1
- 19.23 or 19-1/4"
This measurement is also called the "Common Difference". This means the adding this amount to itself would give the "next" jack length.
- 19.23 + 19.23 = 38.46 or 38-7/16"
Another cool thing is you can find the length of any jack in any position by using (O.C./Cos(roof pitch angle) * Tan(plan angle)) * (Position).
If you wanted to know the length of the third jack, "position" would be 3. 19.23 * 3 or 57.69