Chapter 3: Bed Design, cont.
I want to re-emphasize that the exact dimensions of the structural members of the design are only estimated (guess work) at this point. The ultimate goal of these initial tests is to determine the best orientation of the parts, and not to determine the exact profile and gauge of steel that will be used.
With that said, there are only several ways the bed cross supports could be aligned to provide needed support at the bed's center (i.e. parallel to the Xaxis rail, perpendicular to it, or in a grid pattern). I looked into each alignment, and below are some of my observations. Note that for each simulation, two forces have been applied: one spread evenly across the bed, and a second isolated force under the cutter at the center of the bed.
Picture #1: Three cross supports perpendicular to the Xaxis rail
Combined Weight = 76 pounds
Combined Length = 159 in.
Displacement = .244 mm.
Picture #2: One cross support perpendicular to the Xaxis rail, two cross supports parallel with the Xaxis rail
Combined Weight = 63 pounds
Combined Length = 131 in.
Displacement = .137 mm.
Well this is interesting indeed! In the second configuration, we've managed to reduce the amount of required materials and cut the displacement nearly in half. But it turns out, we can do even better than that. Recall how in Picture #2 one cross support runs perpendicular to the Xaxis and two cross supports run parallel to it. Picture #3 reverses the configuration, such that one cross supports runs parallel to the Xaxis and two cross supports run perpendicular to it (look closely at the center intersection of the cross supports in Picture #3 to see the difference). It turns out that this configuration uses the same amount of material, but results in 12% less displacement!
Additional cross supports may be required - not to make the table frame more rigid, but to add integrity to the MDF bed top. This additional support will likely be smaller gauge steel with an "L" profile (rather than the rectangular tubes used up to this point). When the bed frame is fully designed, I will then test the displacement of the MDF at it's weakest points to determine what additional support, if any, is required.
At this point, I have a decent bed from a load perspective, even though there is still a bit more displacement than I want (but within tolerance considering no side braces have been accounted for yet). It also does not consider additional forces that could cause it to twist out of square. These issues will be addressed next.