This is how to make a platform bed to go along with this Instructable's woven headboard. Building it was actually way easier than I was anticipating, and after a somewhat fretful first night (I'd never built a bed before, and was half-expecting it to collapse on me), is pretty sturdy. It's relatively inexpensive to make: the supplies cost around $120, and can be finished in a weekend.

Step 1: Supplies!

2 pieces, 1/2" x 4' x 8' hardwood plywood
2 pieces, 7/16" x 4' x 8' OSB sheathing
7 pieces, 1 x 3 x 8" lumber
3 pieces, 2 x 4 x 10" lumber
3 rolls of 1" wood veneer
1 box, 2" #8 screws
Wood glue
Wood stain (optional)
1" furniture sliders
My only comment would be that there is a weakness in the center of the bed where the two platform pieces meet since the underlying supports are only 1x3s. I would suggest going back and supporting the 1x3s with perpendicular boards running the length of each 1x3 and secured 6-8 time per 1x3. This should give you more support in the middle.
It certainly doesn't hurt to have more support, but it's not necessary with this design, as the platform is distributing the weight to the supports evenly. If increasing the width to accommodate a king-size mattress, you should absolutely include a perpendicular support beam in the middle.

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