Elliptical Hip Rafter Calculations For X Axis Plotting

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.

Elliptical Hip Rafter Calculations For X Axis Plotting
based on Joe Bartok's formulas for plotting points on the ellipse
y = ( Semi-Minor Axis ÷ Semi-Major Axis) × sqrt(Semi-Major Axis² – x²)
x = (Semi-Major Axis ÷ Semi-Minor Axis) × sqrt(Semi-Minor Axis² – y²)
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.

Elliptical Hip Rafter Plotting

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

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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...

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