New
#11
Frankly Supaglue is not going to be the go mate you need some of that two pack glue not the five minute stuff either the super strength stuff and like roboticarm says you need very litle and perhaps some little extra where it is not going to obviously restrict the top movement.
We have stuff called Araldite out that comes in syringes for tubes just mix in equal measures and leave the super strength stuff for at least 24 hours to attain full strength.
If there is some way of reinforcing it ll well and good but with out seeing it hard to tell you what to do.
http://www.selleys.com.au/trade/specialist-products/epoxy-adhesives-fillers/araldite-super-strength is what we get out here what you can get it in the US I don't know but there would be some similar material I am sure. Any decent hardware or builder merchants would hold such stuff.