Cut stringers on a closed stringer staircase without affecting the structural integrity

stairs

My current stairs are built inside the stringers, I want to cut the stringers as shown in the picture on both sides in order to lay treads and have them overhang. Can I do this? Or will it weaken the stairs?

Current Stairs

Red lines indicate where I want to cut. I want to cut at every stair and on both sides.

Current Stairs

Goal

Goal

Best Answer

Cutting your stringers that way will absolutely weaken them. Your "After" diagram shows the space under the stairs filled in with something; if that "something" does a good job in supporting the newly-weakened stringers, then you may be OK.