How to stop the motion of a Pivot joint?

I am trying to fix a (8*6)" plastic(poly-carbonate) into another plastic box of size (10*8)".
by drilling a hole at their center and putting a screw through it.
but relative motion b/w the 2 box can't be stopped no matter how tightly i put the screw.
What is the method to stop their relative motion without drilling any extra hole.

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