The line length
of common and hip rafters can be
calculated by using the dimensions shown in figure 2 and the
Frederickson Metric Framing Square rafter table. Line lengths lie
between two working points. The line length of the common rafter is
calculated first.
Run = span of 6400 mm divided by 2 = 3200 mm. The common rafter unit of
run length is 250 mm. The number of units of run
for the common rafter is = 3200 mm divided by 250 mm = 12.8. The unit
of
length of the common rafter with a 150/250 slope is 291.5mm. The line
length of
the common rafter in figure 2 is 291.5 mm times 12.8 = 3731.2
mm.
The length of a hip rafter unit run is 353.6 mm. The
Pythagorean
theorem is used to calculate the hip rafter unit run shown on the
Frederickson Metric Framing Square rafter table. The rounded square
root of 250^2 + 250^2 = 353.6 mm.
The hip unit run of 353.6 mm and unit rise of 150
mm is used to calculate the unit line length of the
hip rafter shown on
the rafter table. The
Pythagorean calculation shows that the square root of 150^2 +
353.6^2 = 384.1 mm. 384.1 mm is the unit line length of the
hip rafter. 384.1 mm times 12.8 = 4916.48 mm
rounded
to 4916 mm is the line length of the hip rafter. 12.8 is the
number of units of run for the common rafter and hip rafter.
The line length of the overhang is calculated the same as the
line length of the hip. The projection of 800 mm divided by 250 mm =
3.2 units of run. 384.1 mm
times 3.2 = 1229.12 mm rounded to 1229 mm is the line length of the
overhang.
Note: If
you are having trouble
fitting the hip roof
components together, check to make sure the roof is plumb, level and
square before you redo your measurements and
cuts.