In reply to Phil Payne:
> I probably should call them joists and not beams as that is what they are. I'm sure that I'm seeing the whole joist as there is a suspened ceiling below it.
What happened to the original ceiling below it? I'd have thought you should be seeing that from above, not a suspended ceiling even further down.
> It's an old house and the joists are 45cm apart to make up for the smaller joist size that I have.
That doesn't sound wide to me, modern joists are generally at 400mm c/c, so what you have is thick, shallow joists at wider centres than modern ones. Unfortunately, it's the depth that gives you the strength, not the width.
> My plan was to double up the joists either side and then add a cross piece to support the notched joist.
What you'd normally do in these circumstances is called bridling a joist. It's pretty much as you describe: beef up the joists on either side and span across, with each exposed face the cut joist (ie. where your outlet wants to be) fixed onto these new cross members.
If I were you, I'd raise the tray and forget the idea of notching. And next time, do the prep work first to see what you're dealing with,
then buy the correct tray to suit the site conditions
Good luck...but don't simply notch the joist 55mm and hope it'll be alright.