Hip Jack/Valley Jack Difference

Major Side Roof Pitch
Major
Minor Side Roof Pitch
Minor
Major Side Roof Span
(building width-ridge thickness)/2
Hip Thickness On Center Spacing
Major Side Plan Angle
atan(minor/major)

angle in plan on the Major side.
The Plan angles are also the cheek cut bevels for both the Jacks and the Hip. The minor side jacks are always cut with the major plan angle bevel and reversed for the major side jacks
The opposite happens to the hip.
Minor Side Plan Angle
atan(major/minor)
Major Side Pitch Angle
atan(rise/12)

pitch angle of the Major side.
Minor Side Pitch Angle
atan(rise/12)

pitch angle of the Minor roof.
Major Side Difference
Majordiff = (tan(majplanangle)/cos(majpitchangle))* OCspace
Minor Side Difference(Step)
Major Side Ply Angle
majplyangl= atan(tan(majplanangle) /cos(majpitchangle))
Minor Side Ply Angle
Plywood Sheathing Cut Major Side
majPlySheathCut = 48 / tan(minplyangle)
Plywood Sheathing Cut Minor Side
Hip Heel Cut Angle
Heelcut = 90 - HipAngle
Angle of Hip
HipAngle = atan(cos(majplanangle)* tan(minpitchangle))
Backing Angle Major Side
majBackAngle = atan(sin(HipAngle) / tan(minplanangle))
Backing Angle Minor Side
Hip Drop Major Side
HipDrop = tan(BackingAngle)* 1/2 hip thickness
Hip Drop Minor Side
Common Rafter LL Major Side
majLL = (majspan * majLLratio)
majLLratio=sqrt((major*major)+144)/12
Common Rafter Minor Side
minLL = rise / sin(minpitchangle)
Hip Line Length
hiplength = rise /sin(HipAngle)
Minor Roof Span
minspan = minLL * (sqrt(1-(rise*rise)/(minLL * minLL)))
This is the distance from the end of the ridge to the building line
Jack 1 Major Side
jack1 =majLL - Majordiff - majhalfhipatangle
Jack 1 Minor Side
majhalfhipatangle =sqrt(2 *(halfhipthickness * halfhipthickness)) * majLLratio
Jack 2 Major Side
jack1 - Majordiff
Jack 2 Minor Side
Jack 3 Major Side Jack 3 Minor Side
Jack 4 Major Side Jack 4 Minor Side
Jack 5 Major Side Jack 5 Minor Side
Jack 6 Major Side Jack 6 Minor Side
Jack 7 Major Side Jack 7 Minor Side
Jack 8 Major Side Jack 8 Minor Side
Jack 9 Major Side Jack 9 Minor Side
Jack 10 Major Side Jack 10 Minor Side
Jack 11 Major Side Jack 11 Minor Side
Jack 12 Major Side Jack 12 Minor Side
Bevel on Sleeper in Blind Valley