Context: We are building plans for an extension to our home, on three levels. We're working with a technologist and will be getting an engineer since they have to stamp any plans. We want to have a large opening - about 20' by 20'.
Problem: For our own knowledge (we're still waiting to hear from the technologist) we want to know whether it is possible to have a T shaped steel beam supporting the 2nd floor without a post where the two beams meet. On the picture below, in yellow you'll see where I "imagine" the beams would go, and I imagine that where the yellow circles are, I need to put strong pillars that are secured in the foundation (I do have a 2nd floor that I want to build there).
Question: Is there a way to build this in order to NOT have a post where the "?" is on the drawing below?