Four-Branch Compound Joint

Four-Branch compound joint in plan; definition of Hip rafters and Deck angles.

    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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