Hexagonal Roof Framing Plan with dévers de pas & trait carré

dévers de pas & trait carré model with lumber left over from our previous jobs.
Arêtiers à dévers --> Hip at tilt

Hexagonal Roof Plan with skewed rafters rotated into the roof surface plane.

Geometry development photos

Rafter Tools Calculations
Crossing Valleys


main_plan_angle = 60.00000
main_pitch_angle = 33.69007
skewed_plan_angle = 60.00000
adjacent_pitch_angle = 49.10661

main_hip_angle = 30.00000
main_backing_angle = 16.10211
main_jackrafter_angle = 25.65891

skewed_hip_angle = 30.00000
skewed_jackrafter_angle = 25.65891
skewed_sheathing_angle = 64.34109

k2 = 51.31781
k9 = 73.89789

k1 miter angle = 20.29440
k2 bevel angle = 51.31781
k3 saw blade bevel angle = 36.90433
k4 horizontal plane rotation angle = 8.21321
k4 Vertical plane rotation angle = 17.48017
R1 valley rafter slope angle = 30.00000
k5 valley rafter rotated slope angle = 31.00272
k8 hip rafter housing angle = 12.51983

rafter rotated Level Foot Miter angle = 31.00272
rafter rotated level bevel angle = 64.34109
rafter rotated level Saw Blade Bevel angle = 13.89789

rafter rotated Foot Miter angle = 36.48664
rafter rotated bevel angle = 64.34109
rafter rotated Saw Blade Bevel angle = 21.11790

Ridge Miter angle = 36.48664
Ridge bevel angle = 64.34109
Ridge Saw Blade Bevel angle = 21.11790

rafter rotated crossing Miter angle = 0.00000
rafter rotated crossing bevel angle = 51.31781
rafter rotated crossing Saw Blade Bevel angle = 38.68219




Rafter Tools Calculations
Skewed Rafter



main_plan_angle = 60.00000
main_pitch_angle = 33.69007
skewed_plan_angle = 45.00000
adjacent_pitch_angle = 33.69007

main_hip_angle = 30.00000
main_backing_angle = 16.10211
main_jackrafter_angle = 25.65891

skewed_hip_angle = 25.23940
skewed_jackrafter_angle = 39.76216
skewed_sheathing_angle = 50.23784

k2 = 65.42106
k9 = 73.89789

k1 miter angle = 17.61144
k2 bevel angle = 65.42106
k3 saw blade bevel angle = 23.55495
k4 horizontal plane rotation angle = 10.30485
k4 Vertical plane rotation angle = 22.77022
R1 valley rafter slope angle = 25.23940
k5 valley rafter rotated slope angle = 27.13381
k8 hip rafter housing angle = 7.22978

rafter rotated Level Foot Miter angle = 27.13381
rafter rotated level bevel angle = 50.23784
rafter rotated level Saw Blade Bevel angle = 20.78042

rafter rotated Foot Miter angle = 40.93373
rafter rotated bevel angle = 50.23784
rafter rotated Saw Blade Bevel angle = 32.15294

Ridge Miter angle = 40.93373
Ridge bevel angle = 50.23784
Ridge Saw Blade Bevel angle = 32.15294

rafter rotated crossing Miter angle = 0.00000
rafter rotated crossing bevel angle = 65.42106
rafter rotated crossing Saw Blade Bevel angle = 24.57894