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    Off Center Reciprocal Roof Framing

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    • V Offline
      vadesigner
      last edited by

      I've designed myself into a bit of a challenge. Have found some good, but old youtube vids about reciprocal roofs. My design, however, has the opening in the roof off-center. I have no idea if this could happen structurally, but it seems that it must be possible to at least construct in sketchup... provided each structural member has a specific angle.

      In the attached file, you will see my intended roof form, the flat geometry, and the structural components ALL at a 45 degree angle. Of course, due to the off-center opening, the components do not meet each other.

      My question is more a question of math/geometry: how would I calculate the angle of each component in order to make them all hit each other at the top opening?


      Model 54.skp

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      • Jean LemireJ Offline
        Jean Lemire
        last edited by

        The base circle of the truncated cone at the axes origin is not horizontal.

        Is this on purpose ?

        Jean (Johnny) Lemire from Repentigny, Quebec, Canada.

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        • V Offline
          vadesigner
          last edited by

          Hi Jean. It is intentional. However, it is likely easier to construct the thing using a horizontal circle, and then rotate that circle, and extrude the individual members afterward, no?

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          • Jean LemireJ Offline
            Jean Lemire
            last edited by

            I would guess so, and the same for the smaller circle too.

            I just played around and got to create this SU file. Click in sequence on the Scenes tabs.


            Reciprocal roof.skp

            Jean (Johnny) Lemire from Repentigny, Quebec, Canada.

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            • V Offline
              vadesigner
              last edited by

              JOHNNY! That's awesome! I was coming up with the same math, but simplifying it to lines as you did sure makes it much easier to comprehend.

              The project I'm working on is due in presentation format tomorrow, so I won't try re-doing this until after it's submitted. However, if my project is selected, I may float this concept by an engineer to see if it would fly. With some cross members, I wouldn't see why not.

              Thanks! (Fun little geometrical challenge, huh?)

              Have you worked on many reciprocal roofs?

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              • pbacotP Offline
                pbacot
                last edited by

                Share some pictures of the finals?

                MacOSX MojaveSketchUp Pro v19 Twilight v2 Thea v3 PowerCADD

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                • Jean LemireJ Offline
                  Jean Lemire
                  last edited by

                  I have never worked on such a roof, neither on any roof as I am a mechanical engineer specialized in piping.

                  My experience with SketchUp (SU) dates back from more that 15 years when SU was at version 3.0 and I always enjoy trying to solve geometric challenges.

                  Jean (Johnny) Lemire from Repentigny, Quebec, Canada.

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                  • Mike LuceyM Offline
                    Mike Lucey
                    last edited by

                    Jean, I know a carpenter that could put it all together. Only problem is that he is locked up in an asylum at present! I understand the last complicated roof drove him stone mad 😮

                    Support us so we can support you! Upgrade to Premium Membership!

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                    • Jean LemireJ Offline
                      Jean Lemire
                      last edited by

                      Hi Mike, hi folks.

                      That's a good one.

                      Jean (Johnny) Lemire from Repentigny, Quebec, Canada.

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