Tire pressure question

I am almost afraid to post this but have not seen any consideration regarding rim bead width to tire tread width. The decision to mount correct tire size to available rim comes first. I was always taught tire width should equal bead width as a point of reference. Yes you can deviate from this and by how much I don't know but have seen too wide of tire on too narrow of a rim. Is it possible to correct for proper wear by adjusting pressure in this situation?
I was waiting for a post as yours. It's more than the PSI. What kind of tire or type and rim type is a "BIG" factor. Example: I was always told, not to install a radial tire on a 60 era rim. Is it because of the steel rim or maybe the bead? Max air pressures of the poly tires are 32 PSI and Radials are 35 and higher. All mags that I have seen do except radials.