331.31  DRIVING UPON DIVIDED ROADWAYS.
   (a)   Whenever any street has been divided into two roadways by an intervening space, or by a physical barrier, or clearly indicated dividing section so constructed as to impede vehicular traffic, every vehicle shall be driven only upon the right-hand roadway, and no vehicle shall be driven over, across or within any such dividing space, barrier or median section, except through an opening, crossover or intersection established by public authority.  This section does not prohibit the occupancy of such dividing space, barrier or median section for the purpose of an emergency stop or in compliance with an order of a police officer. 
   (b)   Except as otherwise provided in this subsection, whoever violates this section is guilty of a minor misdemeanor.  If, within one year of the offense, the offender previously has been convicted of or pleaded guilty to one predicate motor vehicle or traffic offense, whoever violates this section is guilty of a misdemeanor of the fourth degree.  If, within one year of the offense, the offender previously has been convicted of two or more predicate motor vehicle or traffic offenses, whoever violates this section is guilty of a misdemeanor of the third degree.
(ORC 4511.35)