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 Pitched Roof Gable Calculator
with equal height plate line.
Major Rafter Pitch Or Major Pitch Angle Minor Rafter Pitch Or Minor Pitch Angle Ridge Width Building Span
feet
inches
frac
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 & Major Run
Calculate Minor Run
Minor Run = Major Run × ( tan(Major Pitch Angle) ÷ tan(Minor Pitch Angle))
Minor Run = Major Run × ( Major Pitch ÷ Minor Pitch)
Known Variables: Major Pitch Angle & Minor Pitch Angle & Minor Run
Calculate Major Run
Major Run = Minor Run × ( tan(Minor Pitch Angle) ÷ tan(Major Pitch Angle))
Major Run = Minor Run × ( Minor Pitch ÷ Major Pitch)
Known Variables: Major Pitch Angle & Minor Pitch Angle & Span
Calculate Major & Minor Runs
Major Run = ((Span × sin(Minor Pitch Angle)) ÷ sin (180 - Major Pitch Angle - Minor Pitch Angle)) × cos( Major Pitch Angle )
Minor Run = ((Span * sin(Major Pitch Angle)) ÷ sin (180 - Major Pitch Angle - Minor Pitch Angle)) × cos( Minor Pitch Angle )
Known Variables: Major Pitch Angle & Minor Pitch Angle & Span
Calculate Major & Minor Rise
Major Rise = ((Span × sin(Minor Pitch Angle)) ÷ sin (180 - Major Pitch Angle - Minor Pitch Angle)) × sin( Major Pitch Angle )
Known Variables: Major Pitch Angle & Minor Pitch Angle & Span
Calculate Major & Minor Rafter Lengths
Major Rafter = (Span × sin(Minor Pitch Angle)) ÷ sin (180 - Major Pitch Angle - Minor Pitch Angle)
Minor Rafter = (Span * sin(Major Pitch Angle)) ÷ sin (180 - Major Pitch Angle - Minor Pitch Angle)
Known Variables: Major Pitch Angle & Major Run & Span
Calculate Minor Pitch & Minor Run
Minor Pitch Angle = arctan((Major Run × sin(Major Pitch Angle)) ÷ (Span - Major Run ))
Minor Run = ((Span * sin(Major Pitch Angle)) ÷ sin (180 - Major Pitch Angle - Minor Pitch Angle)) × cos( Minor Pitch Angle )
Known Variables: Minor Pitch Angle & Minor Run & Span
Calculate Major Pitch & Major Run
Major Pitch Angle = arctan((Minor Run × sin(Minor Pitch Angle)) ÷ (Span - Minor Run ))
Major Run = ((Span × sin(Minor Pitch Angle)) ÷ sin (180 - Major Pitch Angle - Minor Pitch Angle)) × cos( Major 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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