First the hinges came out of mcmaster carr catalog. There is an admin for it or you can go online and find what you want most of their hardware stuff includes cadd models.Most of the time I just use the Addin.
First off I turned off the parametric modeling. I Cut the hinges to the right length using split body then I took the bodies apart converted to components then assembled them with joints so they would work. after that I took the chair apart, tweaked the dimensions etc. For the back, I figured out final width, adjusted all the slats to the desired spacing between the rails and then used joints to position them all. Then I deleted the joints and extended the slats so they would fit into dado pockets. then I used the combine command to "cut out" the dados on the side rails. once all that was working I assembled the hinges to the back piece. then adjusted the position of the seat and leg did some resizing to account for hinges and such then attached them to the hinges.
I reoriented and extended the support and used the combine again to cut out the support piece under the seat to fit it to the leg. If you look close you will see the support has a tab on it to catch the leg from swinging too far, also it has a groove in it that the leg drops into so it will lock in place when being used and will also hold it if the chair is moved around. only a little tension would be required to release the leg to fold it. See the pics for some of the details.
I also moved the upper slats to the rear to allow a deeper seating position.
Its actually quite easy to generate a drawing and plans from the parts.
I honestly wouldn't even bother with a cushion, maybe just shape the seat a little.
As to how I would have approached this, I would have created bodies then once i was done with the rough layout I would have promoted them to components and started assembling things just like in real life. If I was going to ramp this to formal plans I would have taken each component, saved it as a design, aligned it and positioned it at the origin with the widest profile facing forward. From there its a simple matter to generate an drawings or dxf profiles. I would then create the subassemblies as new designs using the components. Creating any internal joints on each assembly as I go. Then once all my subassemblies are set i would create a final design and assemble all the sub assemblies. For something more complex I sometimes will use my master design and replace the appropriate pieces with my individual designed bits.
I like this approach because it ensures that the part I am installing matches up to the design and drawing I generate for manufacturing. I didn't do that my first time out and it really sucked.
I will be honest I have not fully gotten the hang of how parametric modeling is supposed to work but generally I end up with a big mess when I try to revise something, then parts start jumping around and before long it takes forever for anything to update. Im probably doing it wrong but this approach works pretty good for the work i do.
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