Verkanteter Gratsparren DP Line

Drawings showing the development of the DP Line for the Verkanteter Gratsparren, canted hip rafter.

Roof Framing Geometry Proposition – Axioms  # 8:
The intersection of the Rafter Run Line & TC Line locates Hip Rafter DP Line.





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Layover Valley Rafter Basics

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Before I get into the Hexenschnitt for the Layover Valley Rafter I needed to review the basic geometry that defines the layover valley rafter. I needed to make sure I could draw the layover valley rafter correctly in plan view (ground plan). Here's one method of a basic drawing using the layover valley rafter backing triangle to position the layover valley rafter material on the roof surface that defines the  layover valley rafter in plan view. The  layover valley rafter top bevel is easily defined by extending the  layover valley rafter backing triangle to the top of the  layover valley rafter. The other  layover valley rafter line in plan view is defined by the bottom edge of the  layover valley rafter material sitting on the  layover valley rafter backing triangle. (Roof Surface). The  layover valley rafter plan view lines at the intersection of the two roofs. I tried this method for drawing the  layover valley rafter, but this method...
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Hip Rafter Edge Bevel and Backing Angle

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In complex roof framing there are 7 main roof framing angles. Hip Rafter Backing Angle Valley Sleeper Bevel Angle Plain Titl (DP) Main Plan Angle Adjacent Plan Angle  Main Profile Rafter Slope Angle Adjacent Profile Rafter Slope Angle In this article I will discuss the hip rafter backing angle and the valley sleeper bevel angle. These two angles determine the miter angle and and saw blade bevel angles for jack rafters and purlin rafters that are plumb to the earth and for jack rafters and purlin rafters that are skewed from the eave line. A thorough knowledge of these two angles is critical in complex roof framing using geometry or trigonometry. The hip rafter edge bevel was avoided in the 12th century on some roof structures by rotating the hip rafter into the roof surface plane. However, by avoiding the hip rafter edge bevel, the carpenters-builders had to have a knowledge of the Valley Sleeper Bevel Angle. They didn't call it the Valley Sleeper Bevel Angle, but it's the same...
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Canted Valley Rafter on Acute Angled Ground Plan

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spitzwinkliges -->acute angled verkanteter Kehlsparren auf spitzwinkligem Grund Canted Valley Rafter on Acute Angled Ground Plan This task model is basically the same as the Canted Valley Rafter on Rectangular Ground Plan task model. The geometry is fairly straightforward after studying the geometry for the canted valley rafter on a 90° ground plan. Drawing the valley rafter backing triangle is not in the book, but it's my way of making sure I've drawn the canted valley rafter footprint correctly. Here I used the German technique "Ausbaukante", expansion form the bottom edges of the profile rafters to locate the bottom edge of the canted valley rafter. In the last model I centered the canted valley rafter and the jack rafter claws protruded below the bottom edge of the canted valley rafter. By using the Ausbaukante technique in the book, the jack rafter claws do not protrude below the bottom edge of the canted valley rafter. Witches cut plane in #d. Witches cut ang...
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