Provision may be made by the City for vehicular access to private property from streets and alleys, but in so doing due consideration must be given to pedestrian and vehicle safety, the resulting interference with the movement of vehicular traffic, and interference with public improvements. In establishing permissible curb cuts and sidewalk driveway crossings for access to private property, authorization shall not be granted where they are unnecessary or where they would unreasonably interfere with the rights of the public in the adjacent street or alley, and in no event shall any such cut or crossing be of greater width than necessary for reasonable access to the private property to be served thereby. (Code 1962, § 35-55)