SBE Builders

Strong Built Establishments Builders

SBE Builders is a commercial and residential framing contractor located in Discovery Bay California. Dedicated to the art of Carpentery & Roof Framing. We are the professionals for the future of the craft of carpentry.

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)
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
Development of Tetrahedron


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
SBE Builders


Holy Grail of Roof Framing Geometry & Trigonometry

Book I & Book II. These roof framing books were written to make complex roof framing simple..

The Art of the Line for Carpentry

The book includes step by step instructions on developing stereotomic drawings on Art du Trait de Charpente, Trestles, Tréteau à devers, Canted Trestles, Louis Mozerolles' Joiners Table, Sawhorses, and the Saint Andrews' Cross, twisted crosses. You'll also find theories on hip rafter shift-offset, standard roof framing kernel trait drawings, German Schiften DP-Shadow Line techniques, folding net roof surface and net plane geometric development, when hip rafters collide, the Warlock Cut, and developing upper and lower claws on rafters using Axioms.

HG IV Circular Work in Carpentry

The book includes step-by-step instructions on developing stereotomic double curvature drawings for circular work in carpentry. Some of the techniques presented in this book are thousands of years in the making. As carpenters, we shouldn't have to re-invent the wheel each time we are faced with new challenges. There is a likely hood that someone, that came before us, has already refined a technique that we can use today. The tools might have changed, but the piece of wood that it is twisting and turning remains the same piece of wood.

Rafter Tools+ for iPhone

Rafter Tools+ is a rafter calculator for complex roof framing angles that other roof framing calculators don't offer.

RafterTools+

Stair Tangent for iPhone

This iPhone app is for rough frame carpenters that don't build stairs everyday, but could use an stair app calculator to check their stair building calculations.
Build a set of stairs that you are gonna be proud of.
With Stair Tangent you can elimenate cumulative math errors when building - constructing stairs.

Stair Tangent
stairtangent.com

Crown Molding Tools
crownmoldingtools.com

Crown Molding Tools  

Roof Framing Geometry Blog

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