wood floor joist with notch needs shear reinforcement 1

[HouseBoy]

I have (a client with) an old row house (circa 1910) that has notched joists that are splitting at the notch.
Joists are approx. 1.75" x 10.5" at 16" o.c. spanning 16 ft
Notch is about mid depth with the split nearby (see pic)

I'm wondering about a way to provide shear reinforcement much like a external stirrup.
I can't think of a good way to install a metal strap around the joist that would clamp it together snug (needing to be tight and durable/without slipping).

Has anyone used long screws with small diameter continuous thread screws (Simpson makes 6" long 5/32" diam.) that would be installed from the bottom up?
Joist would be clamped together first and the screws would designed for shear flow.

Plywood on both sides would be another option but I'm wondering about the screw strategy as an option.
I have seen it for larger timbers but not for 2x material and wondering if others have done this.

 

[KootK]

MyTiCon has a decent white paper on a similar topic which I've attached. You may need to use those long, GRK/ASSY screws which your contractor may not enjoy. I'm also not sure how practical the install would be over a narrow-ish member.