Four-Branch Compound Joint

 The definition of "Hip Rafter" includes beams (0/12 pitch).     The Deck angles are measured beginning at the x-axis to the Hip AB run, and between each successive pair of Hip runs. The plan may be rotated to place the first Hip rafter on the x-axis, setting the first Deck angle at zero.     A compound joint is possible only if all R1 with respect to the inclined deck are equal.
Four-Branch Compound Joint Calculator
Entry values measured with respect to Actual Deck
 Hip AB Rise : Run : Deck Angle : x-axis to AB Hip BC Rise : Run : Deck Angle : AB to BC Hip CD Rise : Run : Deck Angle : BC to CD Hip DA Rise : Run : Deck Angle : CD to DA

Returned values measured with respect to Inclined Deck
 Unit Convergence Vector r x = y = z = Angle to Plumb Line (z-axis) =
 Hip AB
x =
y =
z =
R1 =
Sum of C5 =
 Side A
C5 =
P2 =
90-P2 =
DD =
SS =
 Side B
C5 =
P2 =
90-P2 =
DD =
SS =
 Hip BC
x =
y =
z =
R1 =
Sum of C5 =
 Side B
C5 =
P2 =
90-P2 =
DD =
SS =
 Side C
C5 =
P2 =
90-P2 =
DD =
SS =
 Hip CD
x =
y =
z =
R1 =
Sum of C5 =
 Side C
C5 =
P2 =
90-P2 =
DD =
SS =
 Side D
C5 =
P2 =
90-P2 =
DD =
SS =
 Hip DA
x =
y =
z =
R1 =
Sum of C5 =
 Side D
C5 =
P2 =
90-P2 =
DD =
SS =
 Side A
C5 =
P2 =
90-P2 =
DD =
SS =

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