Hi Robin, Lachlan,

Maybe this helps explain it. If you remember the days of 'free-body-diagrams' - the bed is part of the system. See picture which shows all the forces acting.

You can hopefully see how the extra brace can help. This is where myself and Jazz are coming from.

I think Wal created something like this (although smaller) and grappled with different layouts to make sure the 'tower' was stiff enough.

Can it work without the brace - of course. Is it much better with it ? - yes, significantly, and for little effort.
Click image for larger version. 

Name:	sketch.jpg 
Views:	366 
Size:	48.9 KB 
ID:	16328

Thanks