I have an old two-flat circa 1890. All of the bracing between the joists in the basement has long been removed over the years so I'm adding it back. I know how to add them at the midpoints between the joists but I'm wondering if it's possible/smart to add over the main beam where the joists overlap.

I'd like to do this to add support and keep the joists from continuing to bow slightly and pull apart from each over the main beam. Does anyone have an experience/insights into such a task? I can attach pictures if that would be helpful.