Best Roof Design

Holy Grail of Roof Framing Geometry & Trigonometry Book

Book I & Book II

With all the 3D drawings we use today, a craftsman who spends his whole life doing a few simple operations has little chance of exercising his intelligence and thus corrupts the spirit of his mind. These books are for anyone interested in learning the geometric process to roof framing that can be used on the job site. As well as the trigonometric formulas that have evolved from the geometry. A lot of the geometry in the books will be the first time there’s an English explanation to the geometric drawings. French Art du Trait and German Shiften drawings are intellectual exercises in three-dimensional lines. However, precise rafter layout can only be accomplished with knowledge of the geometry that develops the parallelogram in the compound joint.

Most roofs can be calculated with a CMC calculator. For complex roof framing, trigonometry or geometry must be used. There is more trigonometry in this book than all of the roof framing books written in English combined. However, it has over 1,000 geometric roof framing drawings in the book as well, for carpenters that are not comfortable using trigonometry.

This book does not fit in your sisters' lunch pail. It was written to make complex roof framing simple. 
5 different techniques to cut the Witches cut. 
Roof framing base knowledge starts with geometry, not the CMC calculator. 
Precise rafter layout is accomplished with plumb lines and level lines.
Bastard Hip Roof Framing Simplified to compete with the King of Bastards -- Ryan Smith
Grasshopper method for  canted hip rafters.

Link to Purchase the book:

Knowledge

Precise rafter layout can only be accomplished with knowledge of the geometry that develops the parallelogram in the compound joint. Take away the carpenters Framing Square, CMC calculator, and circular saw to show you what they really know about cutting rafters. Can they still layout and cut a hip rafter without the use of these tools? These books will help you acquire the knowledge that has been passed down by the builders of the past.
Objectives

The information shown in some roof framing books can be overwhelming. My primary objective in writing these books is to share the knowledge I've gained from reading and studying books on roof framing. It's easy to think you know everything about roof framing, big fish in a little pond syndrome until you see or examine the roof framing from around the world and from the builders of the past. I'm as guilty as anyone on the big fish in a little pond syndrome, roof framing in the San Francisco Bay area during the height of conventional roof stick frame era, before roof trusses. Now that I've studied a lot of geometry and trigonometry, I know that using the Pythagorean theorem in the 1980's was like taking bunny steps compared to what I know and can do now.
The king, queen, and knight of roof framing are
1: Hip Rafter Backing Angle
2: Valley Sleeper Layover Bevel Angle
3: Roof Surface - Sheathing Angles.

All of the roof framing angles we use are based on these three angles. For plumb hip rafters, the hip rafter backing angle and roof sheathing angles define the cut on the timber. For canted rafters, the valley sleeper layover bevel angle and roof sheathing angles define the rafter cuts for canted rafters.

Hip rafter shift - offset, plumb line shift, DP-shadow line, and roof averaging design are the other four techniques that need to be studied-learned to graduate from the big fish in a little pond to compete in the world skills of roof framing. There are other areas in the roof that need to be studied, but these seven angles-techniques should be the base for all roof framers.

Don't re-invent the wheel, like I've been guilty of, learn these seven angles - techniques. That has been passed down through the centuries. The builders of the past have made it pretty easy for us. All we have to do is study the techniques that they used from the middle ages to the present day. And we get to use circular saws, instead of broad axes, handsaws, draw knives, chisels, Bisaiguë, etc... to cut our rafters.

Holy Grail for Roof Framing Geometry

There are no decimal points in Euclidean Geometry using a straightedge and Compass.

I deciphered what Euclid was drawing on the plaster tablet in 200 BC.  

Freestanding Circular Stair Stringer Framing

Use a roller and put the glue on as much as you can get on the plywood, but only about 30 seconds before you staple the next piece of plywood on.










Even though we stapled the 1/4" oak plywood as we installed each layer, 14 in total, we installed 4 3/4" screws in the last layers into the riser height studs that we installed. We also install screws about 3" O.C. into the bottom of the stringer and some into the 3x4 block at the top of each riser.

Divers Hip Rafters with Saint Andrews Cross

From geometrical theory to task model to the jobsite.

When I started studying  L'Art du Trait  4 years ago the terms divers and trait carre seemed hard to comprehend. Now the divers hip rafters are as easy to cut as a plumb hip rafters.
dévers de pas  = DP line, shadow line
dévers hip rafter  =  canted hip rafter, top edge of hip rafter rotated into the roof surface plane.
trait carré  = perpendicular , 90° angle


The divers hip rafter can be cut the same way you cut plumb hip rafters, once you have the  angles.  The Saint Andrew Cross purlin rafters need to be laid out using the draw down roof surface method. 













Steps for laying out the diverse hip rafter:

First I used the Diverse Hip Rafter Boucher  drawing method developed by Olivier Phojo. You can draw it out on a piece of plywood or a CAD drawing program. This gives you the miter angle on the side of the hip rafter and the edge bevel angle on the top of the hip rafter.