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Sometimes it's necessary to cut a shed roof type rafter when you only know the height of the knee-wall or the difference between the two walls and the run.
Once you know the pitch and the total run you can lay the rafter out using a framing square or you can use a calculators trigonometric functions to figure the length.
Note that the birds mouth cut on the rafter will have to be the same at the top and the bottom of the rafter. If you want to know how to figure the length of a shed roof rafter that actually lays on top of another steeper roof see this page. I have found in all my years of building sheds that using pre-built trusses is so much easier and simpler then building a shed roof with a ridge board, especially if you are building your outdoor shed yourself.  Most of the assembly work can be done down on the ground! Add bright colors for painting the exterior walls, and flower boxes under the windows and you have just a really neat garden shed that you can build in your wifes garden. Turn in a set of building blueprints with a pitch less than 3-12, or build a shed style roof with a low pitch, and your building inspector will not pass the construction and provisions will have to be made to get the pitch up to acceptable standards if it is going to be shingled. Many local counties across the country now require the use of hurricane ties for roof framing on homes, and your shed is no different.  If heavy winds can damage a roof by uplifting the trusses on a house, think what it can do to a shed! Hurricane ties are nailed on to the bottom of the rafter or truss, and to the top wall plates as shown in the picture above. Headers For Windows and Doors Feb 07, 16 10:01 AMHow to make headers for door and window openings in your shed framing. Pictures of Sheds, Storage Shed Plans, Shed Designs Dec 27, 15 10:46 AMVisit our library of pictures of sheds built from our shed plans. Awesome 10x12 Barn Shed Dec 27, 15 10:41 AMSee how Jason built his very own 10x12 barn shed and had a great time doing it. SBE Builders is a commercial and residential framing contractor located in Discovery Bay California.

Helping apprentice carpenters on their journey to becoming master carpenters with Certification in roof framing.
French Compagnon Roof Framing Kernel Angles and Framing Square Usage to geometrically draw out a bastard hip using a framing square.
Here's a screen shot of my Android Frieze Block Miter Angle & Saw Blade Bevel Angle app showing Minor Tetra Angle = 22.99236°.
The Trapezoidal Timber generated from the Roof Framing Geometry plugin based on the Skewed Rafter on page 52 in "Traite Theorique et Pratique de Charpente" by Louis Mazerolle.
The Tetrahedron Trigonometric Identity Formulas by Joe Bartok are what I consider the most important roof framing document developed over the last 100 years.
Billy Dillon called my copy of "Traite Theorique et Pratique de Charpente" by Louis Mazerolle Timber Porn and it pretty much stayed a porn book on Stereotomy geometry until I read through Tim Moore's blog on Stereotomy. Enter Jack Rafter Side Cut Angle and Hip Rafter Backing Angle at this URL below for compound Miter Saw Settings for compound joinery of Archimedean Solids.
Curved Hip Rafters and Flared Eaves that are common on Witched Gambrel houses, Dutch Colonial, Flemish Colonial and French Huguenot Colonial houses.
Rafter Tools+ is a rafter calculator for complex roof framing angles that other roof framing calculators don't offer. Are you using a framing square, Construction Master Calculator or Scientific Calculator to figure the rafter lengths? Now remember this is the line length of the rafter which is from the tip of the rafter at the top (after the plumb cut) measured down the top edge of the rafter.
You have to have the exact run of the rafter minus half the hip thickness to the outside of the plate, or if you have your sheathing on as was mentioned to try one of those calculator sites.
It offers so much style and comfort to the garden that you can design the interior to be a sitting area just to relax in and enjoy the scenery of your beautiful garden or warm summer nights gazing up at the night sky.

This is another good example of the different math functions on different platforms and different devices calculating different angles when the roof is unconstructable to begin with. The Timber Framing Hawkindale Angle Formulas developed by Rees Acheson from the Martindale Hip and Valley Roof Angles and edited by Ed Levin of the Timber Framers Guild was the first Tetrahedron development for roof framing angles, but Joe Bartok's Tetrahedron Trigonometric Identity Formulas gave us the ability to find the roof framing angles in any type of Tetrahedron. The Trapezoidal Ground Plan on page 52 was meant to be an exercise in Theorie des devers de pas et des niveaux devers. The DP line or the angle of projection line and he has done a great job of explaining how to develop the devers de pas. I think I can get the plumb cut along the ridge board on my rafter using my framing square. If you look at the gable end of a building you will see the rafters and top plate across the front form two triangles back to back. In other words, you want your birds mouth level line to be the same width as the top plate. What will your exact width be, and are you sheathing the walls before you put the rafters on?
To use this Rake Wall Calculator scroll left in Rafter Tools until the Rake Wall Angles calculator is displayed.
The Minor Tetra Angle is from an function that I wrote that tries to draw the 2 tetrahedrons for the 2 different pitches. You then lift the ridge up in between the plumbcut of the top of the rafters and slide the ridge flush to the top of the rafter.

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