A floor joist is in the way of a new shower drain
We have a 110 year old house that is on a pier and beam foundation. I am installing a new corner shower. The drain for the shower is 12 on center off each wall floor plate. Unfortunately there is a floor joist 11 ½ off the floor plate. Therefore I am considering taking a 4 section out of the joist and bracing the joist with a 2 x 10 x 2 board glued, screwed or bolted on the backside of the Joist. This would give me a 4 notch that would give me clearance for the drain.
Is this a good idea? Does anyone have a better idea?
Ive included a drawing of my idea.
Thanks in advance for your help.