cutting a floor joist
Most Codes allow you to notch the joist, up to about 1/4 the depth,but only near the end of the joist (where the bending stress will be least).
For example, if your joists are 2x10 and you cut a short notch 2" deep near the end, you will be fine. If you cut a similar notch near the centre of the span, you will be converting it to a 2x8, and you will not be fine.
If you put pieces perpendicular to the joists, that will not add any meaningful strength to the notched joist.
Last edited by tony.g; 08-06-2012 at 03:38 AM.