I've used metal struts I make on a workbench and 2 part epoxy to fix such things. I've done this a few dozen times over the years but there is no set procedure. You look at it, then craft a solution. Here's some of the usual source material.
2 part epoxy
Painters tape (to keep glue and paint off other areas.)
Metal bits. Sheet metal, cut to size.
Small nuts and bolts if need be.
The real repair is to order parts, etc. but you want to create a fix that will hold for a year or so.
My laptop hinge has been crunchy for a few months now, and it's not been closing properly. Occasionally I lose a small piece of plastic. I gave it to a friend whose husband fixes computers for a living, but he said I would have to replace the hinge and screen which is pretty pricey. Now, my husband is gone for the weekend and I decided to take my computer apart and try to solve this problem.
It appears that the hinge is messed up because some adhesive has come undone between two piece of plastic where the hinge is attached to the screen. I have pictures, but I'm not sure how to upload them since I'm now working from my phone. Any ideas on what type of adhesive to use on laptops? Or any better ideas on how to solve an issue like this?