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

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.

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

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

Layout a rectangle the size of the ellipse cord length and ellipse arch height.
Snap blue lines from left to right using the Ellipse X Axis dimensions.
Snap red lines from top to bottom of the rectangle using the Ellipse Y Axis dimensions.
Snap black lines for the cutting plane hips where the blue & red lines progressively intersect.
Snap black lines between the end points of the cutting plane hips to form the valley of the ellipse.

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

SBE Builders
5305 Laguna Ct.
Discovery Bay, California 94505
(925) 634-6022 • Fax: (925) 634-6022

Commercial & Residential Framing Contractor
Buil it Green Framing Contractor
Licensed Building Contractor
CA LIC.# 546126

Systematic Construction Logic

Awareness: Be aware of all new building materials and codes that effect the entire structure.
Understanding: Have a complete understanding of the construction sequences that effect the entire structure.
Optimizations: Pursue ideas that optimize the construction sequences that effect the entire structure.