Can the airport ban bicycles?

Jay Honeck wrote:
Our new hangar lease includes a specific ban on bicycles, of all
things. (And cars, and anything else in the hangars not directly
related to aviation.)
So you can't park your car in your hangar while you're flying your airplane?

No, they specifically okay that practice in the lease. But bikes,
cars, motorcycles, and anything "non-aeronautical" is banned
(according to their reading of the rules) at all other times -- even
if there is ample room around the aircraft.

In my opinion, this is a gross mis-reading of the FARs, which were put
in place to make sure that airport hangars were not used as cheap
storage units for boats and other non-aircraft.

What FAR addresses hangars?

Matt