Irregular Bay Window Solutions

Links to other Diagrams and Models

Arizona Hip ... Dogleg is zero
Example Arizona Hip #1 ... footprint based on a Nonagon
Example Arizona Hip #2 ... footprint based on a Nonagon
Example Arizona Hip #3 ... Irregular Footprint

Special Cases of Bay Window ...
Doglegs terminate at intersection of Plate Line

The following style of Bay Window is not
supported by the current version of the calculator ...
Irregular Bay Windows ... Dogleg terminates at custom Working Point

Common and Hip Rafter Pitch Angle Check
 arctan (tan 39.80557° × sin 54.57597°) = 34.17927° arctan (tan 34.17927° ÷ sin 80.42403°) = 34.55388° arctan (tan 34.55388° × sin 65.25586°) = 32.02340° arctan (tan 32.02340° ÷ sin 110.25585°) = 33.69007° arctan (tan 33.69007° × sin 46.89006°) = 25.95200° arctan (tan 25.95200° ÷ sin 43.10994°) = 35.45726°

Dogleg Pitch Angle Check
 arctan (tan 35.45725° × sin 65.18065°) = 32.87819° arctan (tan 32.87819° ÷ sin 69.81935°) = 34.55389°

... and finally going full circle to where we began
 arctan (tan 34.55389° × sin 80.42403°) = 34.17928° arctan (tan 34.17928° ÷ sin 54.57597°) = 39.80558°

A difference of only 39.80558° – 39.80557° = .00001° from the value we started with.

Also check the Pitches and Plan Angles with ...
Formula for Unequal Pitches at any Corner Angle

Polyhedron Modeling the intersecting Roof Planes

Superimposed Rafter Feet and Plates
Heel Heights are equal at Fascia

Solve the Rafter Depths, Heel Heights
and Plate Height Adjustments with ...
Rafter to Point at Fixed Height Calculator
Rafter Dimension Conversion Formulas

Bird's Eye View of Polygonal Model
Rafter Depths and Plate Height Adjustments

Section extracted from Bay Roof
Model constructed around the Rafters