Hip Rafter Plumb Line Shift

Math for equal pitched roofs for Hip Rafter Plumb Line Shift 
(1/2 of hip rafter width) * tan( 90° - plan angle) = Hip Rafter Plumb Line Shift  dimension
(0.75) * tan( 90° - 45) = 0.75
Hip Rafter Shift Dimension in Decimal Inches 


Hip Rafter Width1.51.752.533.1253.55.1255.5
Rectangle - 90°0.750.8751.251.51.56251.752.56252.75
Pentagon - 108°0.544910.635720.908181.089811.135221.271451.861771.99799
Hexagon - 120°0.433010.505180.721690.866030.902111.010361.479461.58771
Octagon - 135°0.310660.362440.517770.621320.647210.724871.061421.13909

Hip Rafter Shift Dimension in Fractions of Inches

Hip Rafter Width1 1/21 3/42 1/23 3 1/83 1/25 1/85 1/2
Rectangle - 90°3/47/81 1/41 1/21 9/161 3/42 9/162 3/4
Pentagon - 108°9/165/815/161 1/161 1/81 1/41 7/82
Hexagon - 120°7/161/23/47/87/81 1 1/21 9/16
Octagon - 135°5/163/81/25/85/83/41 1/161 1/8

Hip Rafter Shift Dimension in Millimeters (mm)


Hip Rafter Width40608090100110120130
Rectangle - 90°2030404550556065
Pentagon - 108°14.5308521.7962829.0617032.6944136.3271339.9598443.5925547.22526
Hexagon - 120°11.5470117.3205123.0940125.9807628.8675131.7542634.6410237.52777
Octagon - 135°8.2842712.4264116.5685418.6396120.7106822.7817524.8528126.92388

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