This is a really easy project that will probably take some creativity on your part. There are a number of ways you can approach and design this project but I'll share what I did to get you started.
I used 1/2" veneer plywood. I cut the top 8" X 12" and the support 6" X 11".
I mounted the support at the back of the top, 1" in from the edge.
I used a 3/4", 1/4-round piece of wood on both sides of the support. I glued and nailed them tight to the support and top.
I put the table on my chair and measured for a support on the other side of the chair arm. I made the measurement tight so it will sort of clamp onto the arm.
I cut another piece of 1/2" plywood for that support and mounted it the same way as the other one. I didn't cut it as long because it is only clamping onto the chair arm. I rounded all the corners and smoothed the edges.
I'm still playing with it a little bit. I think it might have been better if I had made it a little longer but it does work. I also might add a little support between the front edge of the top and the cushion on the chair.
These are cheap and easy to make so you can easily try different combinations. If you come up with a unique design you'd like to share with us we'd love to see it.
The AllAmerican RunnerDuck Review
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This is what it looks like: