The City Traffic Engineer shall erect and maintain, or cause to be erected and maintained, stop signs as provided in the Vehicle Code of the State as follows:
A. At each and every street intersecting a through street as may be so designated by ordinance or resolution of the City Council;
B. At locations within intersections, other than designated in Subsection A. of this Section, where a stop sign is required on the basis of a traffic engineering study;
C. At any railroad grade crossing where a stop sign is required on the basis of a traffic engineering study.