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.

Online Roof Framing Rafter Tools & Calculators
Rafter Tools for Android
With Quad Tetrahedra Analytic Algorithm Technology.
Helping apprentice carpenters on their journey to becoming master carpenters with Certification in roof framing.
  

Android app on Google Play

Rafter Tools for Android Help Files
  

Crown Molding Tools
crownmoldingtools.com

Crown Molding Tools  


  
Roof Framing Geometry Blog
  
World Skills International Competition Roof Design
Hip Rake Walls Rotated Into The Roof Surface
Tim Uhler framed a house with a hip rake wall that was rotated into the roof surface. This hip rake wall can be calculated using Rafter Tools, Plan A Calculator. To use this Rake Wall Calculator scroll left in Rafter Tools until the Rake Wall Angles calculator is displayed.
  
Segmental Arches - Gothic Arches - Lofting Ellipses - Groin Vaults
  
Hip Rafter Offset for Hexagon and Octagon Roof Framing
  
Roof Framing Polygon Angles
  
Unconstructable Irregular Roof Framing and My Android App

Here's a screen shot of my Android Frieze Block Miter Angle & Saw Blade Bevel Angle app showing Minor Tetra Angle = 22.99236°. This is another good example of the different math functions on different platforms and different devices calculating different angles when the roof is unconstructable to begin with. The Minor Tetra Angle is from an function that I wrote that tries to draw the 2 tetrahedrons for the 2 different pitches. If the 2 tetrahedrons don't align with the hip rafter than the roof is unconstructable.
  

Apprentice Carpentry Roof Framing Geometry Part 1
  
Apprentice Carpentry Roof Framing Geometry Part 2
  
Chappell Master Framing Square and the Purlin Lip Cut Angle
  
Chappell Master Framing Square Unequal Pitched Roof Review
  
Ad Quadratum - Seed of Life - Ad Triangulum Router Templates
  
Hexagon and Octagon Roof Framing Geometry
  
Eyebrow & Barrel Roof Dormer Structural Design
  
Eyebrow & Barrel Roof Dormer Structural Design
  
Google SketchUp Plugin -- Roof Framing Geometry Version 1.1
  
Skewed Rafter Saw Blade Bevel Angle
The Trapezoidal Timber generated from the Roof Framing Geometry plugin based on the Skewed Rafter on page 52 in "Traité Théorique et Pratique de Charpente" by Louis Mazerolle.
  
Tetrahedron Extracted From Jack Rafter Side Cut At Hip Rafter
  
Tetrahedron Trigonometric Identity Formulas
The Tetrahedron Trigonometric Identity Formulas by Joe Bartok are what I consider the most important roof framing document developed over the last 100 years. The Timber Framing Hawkindale Angle Formulas developed by Rees Acheson from the Martindale Hip and Valley Roof Angles and edited by Ed Levin of the Timber Framers Guild was the first Tetrahedron development for roof framing angles, but Joe Bartok's Tetrahedron Trigonometric Identity Formulas gave us the ability to find the roof framing angles in any type of Tetrahedron.
  
Steps To Extract a Tetrahedron In Google SketchUp
  
Timber Porn
Billy Dillon called my copy of "Traité Théorique et Pratique de Charpente" by Louis Mazerolle Timber Porn and it pretty much stayed a porn book on Stereotomy geometry until I read through Tim Moore's blog on Stereotomy. The Trapezoidal Ground Plan on page 52 was meant to be an exercise in Theorie des dévers de pas et des niveaux dévers. level cant ?? or level slope??
  
Traité Théorique et Pratique de Charpente
Tim Moore's blog on Stereotomy. The art of representing objects in section, elevation and plan in order to cut them out. - Louis Mazerolle
Tim has some excellent graphic image drawings of devers de pas. The DP line or the angle of projection line and he has done a great job of explaining how to develop the devers de pas.
  
X Marks the Spot
This drawing was developed from Chris Halls series X marks the spot. The hip rafter foot print was developed from the typical dihedral angle geometry.
  

Dormer Shed Roof Rafter Calculator
  

CutIn Dormer Shed Roof Rafter Calculator
  

Pitch Break Shed Roof Rafter Calculator
  

Barrel Roof Dormer Framing Calculator
  

Eyebrow Roof Dormer Framing Calculator
  
Chappell Master Framing Square
Chappell Master Framing Square Review
The only Stainless Steel framing square Made in USA
  
Tangent Handrailing Angles
Tangent Hand Railing Trigonometric Development
  
Tangent Handrailing Tetrahedron Angles
Tangent Handrailing Section Planes and Tetrahedron Angles
  
Tetrahedron Joe Bartok
Developments of Hip and Valley Roof Angles based on the Roof Lines , by Joe Bartok
  
Compound Angles For Platonic Solids
Compound Saw Miter and Saw Blade Bevel angles for building the 5 Platonic Solids out of wood
Wood polyhedron or Wooden Polyhedra
The 5 Platonic solids:
The Tetrahedron (3 equilateral triangles at each vertex)
The Hexahedron (3 squares at each vertex, cube)
The Octahedron (4 equilateral triangles at each vertex)
The Dodecahedron (3 pentagons at each vertex)
The Icosahedron (5 equilateral triangles at each vertex)
  


Compound Saw Miter and Saw Blade Bevel Angles For Platonic Solids Calculator
  

Archimedean Solids with Jack Rafter Side Cut Angles & Hip Rafter Backing Angles & Dihedral Angles
For Compound Miter Saw Settings (Dihedral Angle + Hip Rafter Backing Angle + Hip Rafter Backing Angle= 180°) Enter Jack Rafter Side Cut Angle and Hip Rafter Backing Angle at this URL below for compound Miter Saw Settings for compound joinery of Archimedean Solids.

Platonic Solids or Archimedeans Solids Tetrahedron Geometric Development Calculator

Tetrahedron Jack Rafter Side Cut & Hip Rafter Angle Development Calculator

Hip Rake Wall Calculations For Plan A
Hip Rake Wall Calculations For Plan B
Hip Rake Wall Calculations For Plan C

Polygon Rafter Tables
3 Sided Polygon Rafter Table
4 Sided Polygon Rafter Table
5 Sided Polygon Rafter Table
6 Sided Polygon Rafter Table
7 Sided Polygon Rafter Table
8 Sided Polygon Rafter Table
9 Sided Polygon Rafter Table
10 Sided Polygon Rafter Table
11 Sided Polygon Rafter Table
12 Sided Polygon Rafter Table
16 Sided Polygon Rafter Table
24 Sided Polygon Rafter Table
32 Sided Polygon Rafter Table
36 Sided Polygon Rafter Table
42 Sided Polygon Rafter Table
48 Sided Polygon Rafter Table
64 Sided Polygon Rafter Table
96 Sided Polygon Rafter Table

Use of the Framing Square for Octagonal Roofs
Octagon Framing Square usage: 3:12 Pitch
Octagon Framing Square usage: 4:12 Pitch
Octagon Framing Square usage: 5:12 Pitch
Octagon Framing Square usage: 6:12 Pitch
Octagon Framing Square usage: 7:12 Pitch
Octagon Framing Square usage: 8:12 Pitch
Octagon Framing Square usage: 9:12 Pitch
Octagon Framing Square usage: 10:12 Pitch
Octagon Framing Square usage: 11:12 Pitch
Octagon Framing Square usage: 12:12 Pitch

Polygon Rafter Tables all in one PDF file
Polygon Rafter Tables

Eagle Square Manufacturing Co., (South Shaftsbury, Vt.),the Octagon Framing Square that real roofers used !
Eagle Framing Square -- invented in 1814
  
HAWES PAT
Silas Hawes made squares in Shaftsbury, VT, 1814 - 1828, but that several other local makers also marked their squares "HAWES PAT". These were predecessors to the famous Eagle Square Co. organized in 1859. A fine example of a used hand forged, hand stamped square of the early days of the republic.
  
Picture of Eagle Octagon Framing Square
Picture of similar Octagon Framing Square


  
Applied Geometry and Euclidean GeometryA lesson in Applied Geometry and Euclidean Geometry


Medieval Gothic CathedralMedieval Gothic Cathedral Table
Medieval Gothic CatherdalMedieval Gothic Cathedral Elliptical Cross Vault Drawings
Medieval vaulting research links, keywords
 
Treatise On Those Parts of Geometry Needed by Craftsmen

  
Compound Angles Calculator
Compound Miter and Bevel Calculator, To cut compound angles on the edge of the material instead of laying flat in the compound miter saw
  
Hopper Angles Calculator Hopper Miter and Saw Bevel Angles Calculator


Martindale's Bin and Hopper Angles Case Study 3
Bevel angles for three dimensional connections: Tapered bin, hopper & tower corner angles : hip and valley roof framing connections : analytic proof of ... of hip & valley bevel connection angles


Bosch DAF220K Miter finder Digital Angle Finder Helper
This script will return crown molding miter and bevel settings for the given corner angle. It is not for checking the Bosch DAF220K Miter finder Digital Angle Finder, it is to check the user's ability to use the Bosch DAF220K Miter finder Digital Angle Finder correctly.
  

Elliptical Hip Rafter Calculations For X Axis Plotting
for radius rafter tails

Curved Hip Rafters and Flared Eaves that are common on Witched Gambrel houses, Dutch Colonial, Flemish Colonial and French Huguenot Colonial houses. Also, on Mansard roofs from France that had a eave kick out.
"coyautage" in French or flying gutter by the Flemish.
  

Eyebrow Roof Dormer Design and Geometry
based on Billy's Dillons Eyebrow Roof Dormer Class

  

Canadian & American Geometric Roof Framing Development
using a Steel Framing Square

Canadian & American Geometric Roof Framing Development

Roof Framing Kernel drawing for visualization posterboard cut out model
  

Roof Framing Kernel drawing for visualization posterboard cut out model with edge fold
  

Canadian & American Geometric Roof Framing Development Tetrahedron Calculator & DXF File
  

Tetrahedron
drawings for 8:12 pitch

  

Tetrahedron
drawings for Crown Molding with 38° Spring Angle

  
Sloped Frustum of Pyramid Calculations for Polygons or Cones Roof Framing Geometry
Sloped Frustum of Pyramid Calculator Sloped Frustum of Pyramid Calculator

Octagon Roof Framing and Crown Molding Angles Development
Build it Green
Advanced Wall Framing Compliance Calculator
Advanced Rake Wall Framing Compliance Calculator
Irregular Hips Geometry
based on Billy Dillon's article in the Sept. 2007 JLC, On Complex Roof Geometry
Irregular Hips Geometry Calculator
Irregular Hips Geometry
based on Joe Fusco's Hip Roof Developmental Geometry
Irregular Hips Geometry Calculator
Unequal Pitch Roof With Unequal Height Plate Line Rafters
Unequal Pitch Roof With Unequal Height Plate Line Calculator
Unequal Pitched Roof Gable Rafters
Unequal Pitched Roof Gable Calculator
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
Development of Tetrahedron for Purlin Geometry
Canadian & American Geometric Roof Framing Development Tetrahedron Calculator & DXF File
Development of Tetrahedron for Square Hung 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
Hip Roof Developmental Geometry for Polygons

Polygon Geometry Calculator
Development of the 6 Tetrahedrons for Crown Molding Angles

Crown Molding Angles Fully Developed
Trigonometric Crown Angle Formulas for Horizontal Plane Crown Molding Angles
Trigonometric Crown Angle Formulas for Vertical Plane Crown Molding (cathedral/vaulted ceilings/rake gables)Angles
Crown Moulding Miter Angle and Bevel Angle Settings

Crown Spring Angle = 52°
Crown Spring Angle = 45°
Crown Spring Angle = 38°
Wall Angle Settings
Rake Crown Spring Angle = 38°
Rake to Horizontal Crown Spring Angle = 38°
Polygon 2 Cord Exterior Rake Gable Crown Molding Miter Angle and Bevel Angle Settings
Polygon 2 Cord Interior Rake Gable Crown Molding Miter Angle and Bevel Angle Settings
Polygon Crown Molding Angles Development & Calculator
Enter Crown Spring Angle

Crown Spring Angles
Crown Spring Angle
Hip and Valley Rafter Backing Angles Hip Rafter Backing Angles Chart
Hip Rafter Backing Angles Chart for Octagons
HAP Matching Rafter Calculator Height Above Plate Matching Rafter Calculator
HAP Rafter Calculator Height Above Plate Rafter Calculator
HAP Hip Rafter Calculator Height Above Plate Hip Rafter Calculator - With Equal or Unequal Pitchs
Bow Window Rafter Calculator with Unequal Overhang Runs Bowed Bay Window Rafter Calculator with Unequal Overhang Runs
Circular Tower Structural Ring Rafter Calculator Circular Tower Structural Ring Rafter Calculator
Octagon Tower Structural Ring Rafter Calculator Octagon Tower Structural Ring Rafter Calculator
Natural Trigonometric Functions Natural Trigonometric Functions to 5 Decimal Places for Pitch or Angle for Trace Geometry Development
Natural Trigonometric Functions Table Natural Trigonometric Functions to 5 Decimal Places Table for Trace Geometry Development
Developmental Geometry for a Pyramid with an (5 sided) Polygonal Base ... pentagon
Developmental Geometry for a Pyramid with an (6 sided) Polygonal Base ... hexagon
Developmental Geometry for a Pyramid with an (7 sided) Polygonal Base ... heptagon
Developmental Geometry for a Pyramid with an (8 sided) Polygonal Base ... octagon
Developmental Geometry for a Pyramid with an (9 sided) Polygonal Base ... enneagon
Developmental Geometry for a Pyramid with an (10 sided) Polygonal Base ... decagon
Developmental Geometry for a Pyramid with an (11 sided) Polygonal Base ... hendecagon
Developmental Geometry for a Pyramid with an (12 sided) Polygonal Base ... dodecagon
Developmental Geometry for a Pyramid with an (16 sided) Polygonal Base ... hexadecagon
Developmental Geometry for a Pyramid with an (24 sided) Polygonal Base
Developmental Geometry for a Pyramid with an (36 sided) Polygonal Base
Developmental Geometry for a Pyramid with an (96 sided) Polygonal Base

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SBE Builders
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...

Roof Framing Geometry Blog

Rafter Tools for Android
With Quad Tetrahedra Analytic Algorithm Technology.
Helping apprentice carpenters on their journey to becoming master carpenters with Certification in roof framing.

Rafter Tools+ for iPhone

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

RafterTools+

Crown Molding Tools
crownmoldingtools.com

Crown Molding Tools  

Carpenters Of Steel

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 1565 to 2013

Applied Geometry and Euclidean GeometryA lesson in Applied Geometry and Euclidean Geometry

This Is Carpentry

We're a member of the Timber Framers Guild

Timber Framers Guild

American College of the Building Arts, carpentry and timber framing programs.

American College of the Building Arts

Would you like to have the knowledge and abilities to build a real Master Piece"
Patrick Moore is currently offering courses on 'L'Art du Trait'.

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