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I'd say ask an engineer...
Ha! I should probably get my calculator out. I reckon it rather depends on how heavy my cereal bowl will be...
Here's a rough sketch. I've got opportunities to add support/ legs later, so in some ways I'm just thinking out loud. It's Worktop Express beech, so staves glued together. Their assembly instructions suggest overhangs exceeding 200mm need a supporting leg, but then their documentation for those legs says they're needed for overhangs exceeding 300mm! Perhaps the confusion is between worktop thicknesses of 27mm and 40mm.
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Cupcakes
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If you can fix it down at the edge of the carcass and the joint edge (especially that far edge), you've got a pretty doable 1/3, 2/3 cantilever there. I'd maybe not sit on it - I think you'd risk the joint edge starting to lift/split - but regular, ahem, breakfast activities will be fine.
An inbetween step rather than support legs, would be to use a couple of shelf brackets. Means you could move chairs in and out easily still. -
What direction is the grain running? If left to right, I would think it would be ok. If top to bottom, I would be wary of the wood splitting along the grain.
hoefla
stevo_com
I'd say ask an engineer...
40mm solid beech is not going to flex much over 300mm, but the units only really support at the sides, right? or is there a rail at the back against the wall? I feel like fixing down to a rail against the wall would make a difference, also if you could add a rail along the top/front of the units but might not be space for that.
Is it block laminated? There could be risk of it splitting I guess, depending how much you load the overhang. 300mm doesn't seem that controversial though.