this post was submitted on 15 Oct 2023
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I wish I could give you an academic answer, but I was going off of a similar design and thought if it works there, it should work here.
Honestly I'm a bit worried about the corners, but they feel stable enough.
I used pocket screws and wood glue at each shelf attachment to the frame. The shelf slats are all glued edge grain to edge grain, so in theory the entire shelf should act like a solid board.
I googled and found this post where they tested a similar setup and it failed at 99lbs at 15cm, which looks way way less than the weights you have (plus you’ve got support on two sides, so only like 50% of the load has less support).
I guess the lesson is that the mortise and tenon is very strong, but pocket screws can support a lot of weight too and that’s good enough!
https://woodgears.ca/joint_strength/pockethole.html