Strong Built Establishments Builders SBE Builders is a commercial and residential framing contractor located in Discovery Bay California. Our Systematic Construction Logic produces Strong Built Establishments. E-Defense stands for Earthquake-Defense.

Development of Tetrahedron for Square Tail Fascia Geometry
based on Joe Bartok's Development of Tetrahedron Geometry
Joe Bartok's Square Tail Fascia Formulas
Joe Bartok's Web Site
square fascia hipnotes
hip models
sample calculations
Square Cut Fascia Angles and Dimensions Calculator
Square Cut Fascia intersects foot of Hip Rafter

Major Rafter Pitch Or Major Pitch Angle Minor Rafter Pitch Or Minor Pitch Angle Deck Plan Angle (0 - 180) .25 .5 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 .25 .5 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 Fascia Thickness Fascia Width

Download Development of Tetrahedron for Square Tail Fascia Geometry DXF
Development of Tetrahedron for Saquare Tail Fascia Geometry .dxf -- auto generated DXF CAD file of Development of Tetrahedron for Fascia geometry drawing each time script is run

Development of Tetrahedron for Square Tail Fascias Angles

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)) 
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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
Development of Tetrahedron Geometry
Development of Tetrahedron and Dihedral Angle for Polygons
Development of Tetrahedron for Compound Angles Geometry
Compound Miter and Bevel Calculator, To cut compound angles on the edge
Development of Tetrahedron for Purlin Geometry
Development of Tetrahedron using Hip Rafter Angle
Development of Tetrahedron using Jack Rafter Side Cut Angle
Development of Tetrahedron using Sheathing Angle
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
Development of Tetrahedron for Hawkindale Formulas Geometry
Development of Tetrahedron for Crown Molding Geometry Using Spring Angle and Corner Wall Angle
Development of Tetrahedron for Crown Molding Geometry Using Slope Angle and Corner Plane Angle
Development of Tetrahedron for Crown Rake Molding Geometry

SBE Builders 5305 Laguna Ct. Discovery Bay, California 94505 (925) 634-6022 • Fax: (925) 634-6022 Commercial & Residential Framing Contractor Build it Green Framing Contractor American Carpenter and Builder California Licensed General Building Contractor CA LIC.#  546126 Expert Witness for Construction Structural defects

Roof Framing Geometry

Roof framing geometry is empirical-type knowledge. Information gained by means of observation, experience, or experiment. From ground Line 0: Z1, Z2, Z3 etc... To Roof Axis 0: A1, A2, A3 etc... To the bring back line 0 for scribing: B1, B2, B3 etc...