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Valley Sleeper on oblique adjacent roof

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Valley Sleeper on oblique adjacent roof Der schräge Anbau auf Kehlbohlen This task model was challenging. Keeping track of the geometric lines to develop the valley sleeper rafter lines on the roof surface was confusing. However, I just needed to remember to draw perpendicular lines to the valley rafter in ground plan to the valley rafter on the roof surface plane to develop the correct valley sleeper plane lines. The witches cut is develop two different ways in the task model, by using two different elevation line heights. Basic ground plan for the Valley Sleeper on oblique adjacent roof. Drawing with the roof surface plane developed and some of the valley lines on the roof surface plane. Zoomed in view of the valley lines, including the hidden bottom edge of the valley sleeper on the roof surface plane. Drawing with the valley sleeper bird mouths lines developed. Witches cut lines for the ground view of the valley sleeper rafters. Witches cut lines for the valley sleeper rafters on t

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

Shadow Lines and Witches Cut Plane

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Task model Canted Valley Rafter on Rectangular Ground Plan Verkanteter Kehlsparren im R echten Winkel  Grund: Lotrechten --> perpendicular spitzwinkliges -->acute angled verkanteter Kehlsparren auf spitzwinkligem Grund --> next task model Canted Valley Rafter on Acute Angled Ground Plan Interesting geometry from Bernd Kuppers book, on the Shadow Line Elevation Line, developed from the Light Source Direction, that's perpendicular to the roof surface. That develops the shadow line of the canted valley rafter and the shadow line of the outer edge of the canted valley rafter. Which in turn, develops the claw cutting line direction for the valley jack rafter lower claws. The witches planes for the canted valley rafter is also fairly easy, at this point in the book.   The shadow line theories are similar to the French DP line. The shadow line of the valley is following the footprint of the valley rafter. Roof Framing Geometry Proposition – Axioms  # 3: The intersection of the DP

Canted Valley Rafter on Rectangular Ground Plan

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I thought this task model would be easy. However, my Canted Valley Rafter on Rectangular Ground Plan footprint does not match the drawings from the book. I'm not sure what the discrepancy is in the location of the valley rafter foot print in ground plan. Using the geometric drawings from the book produces the correct witches cut angle  109.35613°. The new book on the ancient knowledge Roof Framing  by Bernd Küppers

Valley Rafter with single Sprocket

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This task model still needs a lot of work. However, it was a lot of work just  to draw the 3D model. So I could check the geometric lines of my drawing. There's a lot going on to draw out the Valley Sprocket Rafter. I haven't even gotten to the claws on the jack rafters, but that shouldn't be hard to draw. The new book on the ancient knowledge Roof Framing  by Bernd Küppers