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.

Unequal Pitch Roof With Unequal Height Plate Lines Calculator
Major Rafter Pitch Or Major Pitch Angle Minor Rafter Pitch Or Minor Pitch Angle Ridge Width Building Span  
feet
inches
frac
 
Plate Height Difference Major Rafter Seat Cut Rafter Material Depth Minor Rafter Seat Cut Minor Material Depth Overhang Show Feet Inches

Unequal Pitch Roof Trigonometry
Calculating unequal pitched roofs is easy if you know what trigonometry functions to use. The
formulas below use the law of sines to calculate the unknown length or angle.


Known Variables: Major Pitch Angle & Minor Pitch Angle & Span & Plate Line Difference
Calculate Major & Minor Runs & Theoretical Plate Line Span
Theoretical Span = Span - (Plate Line Difference ÷ tan(Minor Pitch Angle))
Plate Line Difference Run = Span - Theoretical Span
Major Run = ((Theoretical Span × sin(Minor Pitch Angle)) ÷ sin (180 - Major Pitch Angle - Minor Pitch Angle)) × cos( Major Pitch Angle )
Theoretical Minor Run = ((Theoretical Span * sin(Major Pitch Angle)) ÷ sin (180 - Major Pitch Angle - Minor Pitch Angle)) × cos( Minor
Pitch Angle )
Minor Run = Theoretical Minor Run + Plate Line Difference Run
Major Rafter = Major Run ÷ cos (Major Pitch Angle)
Theoretical Minor Rafter = Theoretical Minor Run ÷ cos (Minor Pitch Angle)
Plate Line Difference Minor Rafter = Plate Line Difference Run ÷ cos (Minor Pitch Angle)
Minor Rafter = Minor Run ÷ cos (Minor Pitch Angle)
Roof Rise = Major Run × tan (Major Pitch Angle)
Total Minor Roof Rise = Minor Run × tan (Minor Pitch Angle)

Law Of Sines
C = 180° - (A + B)
a = ( c × sin( A) ) ÷ sin( C)
a = ( b × sin( A ) ) ÷ sin( B)
a = ( b ÷ sin( B ) ) × sin( A)
b = ( c × sin( B ) ) ÷ sin( C)
b = ( a × sin( B ) ) ÷ sin( A)
b = ( a ÷ sin( A ) ) × sin( B)
h = b × sin( A )
h = a × sin( B )
c = ( a × sin( C ) ) ÷ sin( A)
c = ( b × sin( C ) ) ÷ sin( B)

  
  
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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