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.

Sloped Frustum of Pyramid Calculations for Polygons or Cones Roof Framing Geometry
based on Complex Roof Geometry Discussed at JLC-Online.


Sloped Frustum of Pyramid
Major Rafter Pitch Or Major Pitch Angle Minor Rafter Pitch Or Minor Pitch Angle Polygon Radius Intercept Point (inches)
feet
inches
frac
Polygon Sides Or Enter Cone
O.C. Spacing
Or Enter Cone
Rotation Angle
Rotate Polygon Draw Ellipse Show Feet Inches
Download Sloped Frustum of Pyramid Geometry DXF
Sloped Frustum of Pyramid Geometry Framing.dxf -- auto generated DXF CAD file of Sloped Frustum of Pyramid of Polygon or Cone geometry drawing each time script is run


Cone Roof With Elliptical Base Started by Billy Dillon and based on Billy Dillon's Sketch
Sloped Frustum of a Pyramid Node Calculator by Joe Bartok
Development of the Tetrahedron by Joe Bartok
Calculation of Ellipse Arc Length by Joe Bartok

Sloped Frustum of Pyramid
Ellipse Grid Layout
    Ellipse Valley Layout Points
  1. Layout a rectangle the size of the ellipse cord length and ellipse arch height.
  2. Snap blue lines from left to right using the Ellipse X Axis dimensions.
  3. Snap red lines from top to bottom of the rectangle using the Ellipse Y Axis dimensions.
  4. Snap black lines for the cutting plane hips where the blue & red lines progressively intersect.
  5. Snap black lines between the end points of the cutting plane hips to form the valley of the ellipse.

Spline Grid Layout
    Spline Plan View Layout Points
  1. Layout a rectangle the size of the ellipse cord length and cone radius length.
  2. Snap blue lines from left to right using the Station On X Axis dimensions.
  3. The last blue line snapped should be the Arch Height Run of the Ellipse.
  4. Snap red lines from top to bottom of the rectangle using the Station On Y Axis dimensions.
  5. Snap black lines for the cutting plane hips where the blue & red lines progressively intersect.
  6. Snap red lines between the end points of the plan view hips to form the spline of the valley curve.


Sloped Frustum of Pyramid
Sloped Frustum of Pyramid

  
  
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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