Is it possible to exclude certain parts of framing from being designed as part of SMF?

- You may assume some elements are not being part of the lateral load resisting system , provided that, the remaining structure is satisfactory for seismic forces. .. These elements are gravity only elements . Have a look to your local seismic code for ( GRAVITY ONLY COLUMN ) etc..

- It will be sufficient to design such beams and columns as gravity load resisting elements and detailing as per R times displacements and rotations under seismic case..









Tim was so learned that he could name a
horse in nine languages: so ignorant that he bought a cow to ride on.
(BENJAMIN FRANKLIN )

Yes, this is very common. The way the "gravity only" portion of the structure connects to the lateral force resisting needs to be sufficient to transfer it's inertial forces into the SMF. And, sufficient enough to accommodate whatever lateral deflections occur in the overall structure due to lateral drift.

And those "red" columns are going to have to be designed to accommodate the inter-storey drift they and every other column at each level experience. So why leave them out?