Monday, March 25, 2013

Stereotomic & Descriptive Geometry for Hip Rafter Bevel Angles



Descriptive Geometry for Hip Rafter Bevel Angles at peak & seat of hip rafter
Tetrahedron - Tetrahedral Ground Plan
Roof Slope Angle 33.69007°
Eave Angle 60°



Stereotomic Geometry for Tetrahedral Hip Rafter Bevel Angles




Descriptive Geometry for Hip Rafter Bevel Angles at peak & seat of hip rafter
Square Rectangular -  Pyramidal Ground Plan
Roof Slope Angle 50°
Eave Angle 90°



Stereotomic Geometry for Pyramidal Hip Rafter Bevel Angles



Descriptive Geometry for Hip Rafter Bevel Angles at peak & seat of hip rafter
Pentagonal Ground Plan
Roof Slope Angle 40°
Eave Angle 108°



Stereotomic Geometry for Pentagonal Hip Rafter Bevel Angles



Descriptive Geometry for Hip Rafter Bevel Angles at peak & seat of hip rafter
Hexagonal Ground Plan
Roof Slope Angle 40°
Eave Angle 120°


Stereotomic Geometry for Hexagonal Hip Rafter Bevel Angles


Descriptive Geometry for Hip Rafter Bevel Angles at peak & seat of hip rafter
Octagonal Ground Plan
Roof Slope Angle 40°
Eave Angle 135°





Stereotomic Geometry for Octagonal Hip Rafter Bevel Angles



Descriptive Geometry for Hip Rafter Bevel Angles at peak & seat of hip rafter
Trapezoidal Ground Plan With Three Different Roof Pitches
Roof Slope Angles 40° , 44.07884°, 59.72722°
Eave Angles 90°, 90°, 115° , 65°








Stereotomic Geometry for Trapezoidal Ground Plan With Three Different Roof Pitches







Tetrahedron Slice of Hip Rafter Head Cut
Miter Angle = Hip Rafter Slope Angle = 37.00039°
Saw Blade Bevel Angle = 63.90458°
Hip Rafter Side Cut Bevel Angle = 21.36377°






Tetrahedron Slice of Hip Rafter Head Cut
Miter Angle = Hip Rafter Slope Angle = 37.00039°
Saw Blade Bevel Angle = 26.09542°
Hip Rafter Side Cut Bevel Angle = 58.47947°









Treatise on Roof Framing Geometry for Hip Rafter Side Cut Bevel Angles

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