Notched floor joists

[PhiLyn]

I'm in the middle of renovating a clients house and have just stumbled across some 8x2 floor joist on the first foor that someone has notched on the bottom.
The notches are about a metre from the joist hanger and are about 5 inches wide and 1 inch deep into the joist.
I'd like to strengthen the joist to be absolutely sure there's no problems at a later date.
I know the thorough way would be to bolt on some more 8x2 over the notches but I was wondering if there's a simpler way that wouldn't involve taking down more of the ceiling? (as I have limited access) I also have the difficulty that there are a few electric cables that would get in the way of the extra timber.
Given that the timber has been weakened in a way that may cause the lower face to spread during failure, would some sort of builders band/Plate fixed to the lower face to act in tension do, or is the thorough way the only way?

 

[RonnyRaygun]

Light duty restraint straps would do the trick. 30x2.5mm, I'd have at least 300mm each side to get plenty of screws into the timber.

Builders band might be a bit too light duty for 200x50 timbers if they are highly stressed, although as the notch is only an inch into the timber it would probably be OK.

 

[PhiLyn]

Thanks RonnyRaygun for the quick response. This sounds ideal, plus I've got some in my garage, so happy days!!

 

[tony1851]

Ronny. Would he NEED to strengthen the joists?
If they are 8x2, my guess is that the span will be around 4m. The notches are then only about 1/4 span away from the bearing.
Think of the b.m. diagram for a uniformly loaded beam - by the time it gets to the notch position (where the joist is effectively a 7x2), the bending stress will be well below what a 7x2 can take.
(this is assuming there is no unusual loading pattern).
If I was in the OPs shoes, I wouldn't bother.
Any thoughts?

 

[RonnyRaygun]

I have to admit Tony I didn't initially notice that the notches were only 1m from the edge and had based my comment on a central notch.
I had noticed my mistake before you commented, but I was being a bit tardy in replying (mainly because I was hoping no-one would pull me up on it - should have known you wouldn't let me get away with it!)
I agree though that at 1m from the edge it probably isn't necessary as the stresses will be much lower than at the centre.