Addie, thanks for changing the thread title!
Jerry, here are some tarp models re your request. I think this is actually somewhat instructive and I'm glad you asked.
So here's what I did:
-started with two 1.25 x 2.5 m rectangular tarp panels (about 4x8ft each)
-hung it in space and adjusted the fabric properties until it looked like silnylon would hang (umm, very scientific here)
-Used "pins" (software feature) to locate the corners in space, and adjusted until I got a mostly orange-red stress plot (assuming that as long as it's not all red, it's not overstressed and the behavior would more realistic). This is the first image.
-I used the "3 point curve" design feature to add curvature (no, it's not a catenary curve, because I didn't feel like getting that much into detail and I don't just happen to have spreadsheets lying around with cat curve calculations in them…I know, what kind of gear maker am I??). For the second image the curve is 25mm off the rectangular edge in the center of the panel (close to your 1" request but the grid in the SW is mm). I kept the pins in exactly the same spots for this and the next model.
-The third image I pulled the curve 50mm off the rectangular edge.
I think this is a reasonable approximation, especially given all the other unknowns in this software. Like I said before to Roger's question though, if you really wanted a cat curve, you could very, very closely approximate it.



And for kicks here's a tarp with a 100mm offset curve.

I think it's obvious to see that adding the curvature along the seam helps distribute stress more evenly, and that the more curvature you add, the more it helps (up to a point…). A nice little visual to make that point. (Edit – it's easy for me to see in 3D when I can rotate the models – it's not nearly as obvious in these images)
James, this software is taking the 2D pattern that the user draws, applying a mesh, and then modeling how that would drape in 3D using some FEA/physics engine, not taking a 3D object and flattening it. This company sells a higher end product to the textile industry which would be useless if it didn't at least somewhat accurately model how a flat pattern would drape in 3D. They say this is the "hobbyist" version of that software, missing lots of extra features, but I would presume using the same modeling engine (why would they do more work to put out a hobbyist's product?). Obviously there are all kinds of issues with getting fabric properties right, and that is essential to get models from the patterns, but I think the underlying capability is there.
And Brian, you're definitely right. My interest is for making my own gear, and getting it right"on the first try so I don't have to make 2 or 3 of everything as I correct mistakes.