Download Development of Tetrahedron for Square Tail Fascia Geometry DXF
Square Tail Fascia Material Cut Laying Flat (Side of Fascia, Perpendicular to Roof Surface) Main Common Fascia Miter Angle = arctan (sin (Main Roof Pitch Angle) ÷ tan( Adjacent Plan Angle)) Main Common Fascia Saw Bevel Angle = arcsin (cos (Adjacent Rafter Pitch Angle) * cos(Main Plan Angle)) Square Tail Fascia Material Cut On Edge (Top Of Fascia, in the Plane of the Roof Surface) Main Common Fascia Miter Angle = arctan (cos (Main Roof Pitch Angle) ÷ tan( Main Plan Angle)) Main Common Fascia Saw Bevel Angle = arctan (sin (Hip Rafter Angle) ÷ tan(Adjacent Plan Angle)) ------------------------------------------------------------------------------------------------------ Deck Angle = 90.00000 Main Plan Angle = 51.34019 Adjacent Plan Angle = 38.65981 Main Roof Pitch Angle = 33.69007 Adjacent Roof Pitch Angle = 39.80557 R1 Hip Rafter Angle = 27.50055 Main Jack Rafter Side Cut Angle = 33.64933 Adjacent Hip Rafter Backing Angle = 29.99339 90° - P2m Roof Sheathing Angle = 56.35067 Adjacent C5a Hip Rafter Backing Angle = 29.99339 90° - Adjacent C5a Hip Rafter Backing Angle = 60.00661 Square Tail Fascia Material Cut Laying Flat (Side of Fascia, Perpendicular to Roof Surface) Main Common Fascia Miter Angle = arctan (sin (Main Roof Pitch Angle) ÷ tan(Adjacent Plan Angle)) = 34.73648° Main Common Fascia Saw Bevel Angle = arcsin (cos (Adjacent Roof Pitch Angle) * cos(Main Plan Angle)) = 28.67914° Main Common Fascia Miter Angle = arctan (sin (33.69007) ÷ tan(38.65981)) = 34.73648° Main Common Fascia Saw Bevel Angle = arcsin (cos (39.80557) * cos(51.34019)) = 28.67914° or Square Tail Fascia Material Cut Laying Flat (Side of Fascia, Perpendicular to Roof Surface) Main Common Fascia Miter Angle = arctan (tan (90° - Adjacent Hip Rafter Backing Angle) * sin(90°- Main Jack Rafter Side Cut Angle)) = 34.73648° Main Common Fascia Saw Bevel Angle = arcsin (sin (90° - Adjacent Hip Rafter Backing Angle ) * cos(90°- Main Jack Rafter Side Cut Angle)) = 28.67914° Main Common Fascia Miter Angle = arctan (tan (90° - 29.99339 ) * sin(90°- 33.64933)) = 34.73648° Main Common Fascia Miter Angle = arctan (tan (60.00661) * sin(56.35057)) = 90- 55.26349 = 34.73651° Main Common Fascia Saw Bevel Angle = arcsin (sin (90° - 29.99339 ) * cos(90°- 33.64933)) = 28.67914° Main Common Fascia Saw Bevel Angle = arcsin (sin (60.00661) * cos(56.35057)) = 28.67914° Square Tail Fascia Material Cut On Edge (Top Of Fascia, in the Plane of the Roof Surface) Main Common Fascia Miter Angle = Main Jack Rafter Side Cut Angle Main Common Fascia Saw Bevel Angle = Adjacent Hip Rafter Backing Angle Main Common Fascia Miter Angle = arctan (cos (33.69007) ÷ tan( 51.34019)) = 33.64934° Main Common Fascia Saw Bevel Angle = arctan (sin (27.50055) ÷ tan(38.65981)) = 29.99339°
Development of Tetrahedron Geometry
based on Joe Bartok's Tetrahedron Developmental Geometry
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Development of Tetrahedron using Hip Rafter Backing Angle
Canadian & American Geometric Roof Framing Development Tetrahedron Calculator & DXF File
Development of Tetrahedron for Square Tail Fascia Geometry
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Roof Framing Geometry
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Canadian & American Geometric Roof Framing Development
using a Steel Framing Square
Geometric Roof Framing Development for Irregular Hip Roof Calculations
using a Steel Framing Square
Geometric Development of Tetrahedron
using a Steel Framing Square
Hip Rafter Backing Bevel Angles from 1830 to 2009