I came across this chair at my university that had its back falling off. It'll take a long time before it's properly fixed, or worse still, they'll toss it and replace the entire thing, so I wrapped some tape around and it's very solid now!
I have some duct tape folded around an old card in my wallet and used my victorinox knife to cut it.
Such adhesives are not good in tension like that. It holds for a moment, but gives way when the load is applied for a longer duration. This could be dangerous with a chair.