No person shall operate any vehicle unless it has tires of rubber or of some equally resilient materials; except in the following cases:
(A) Vehicles drawn by animal power.
(B) Road rollers, concrete mixers, platform trucks, or traction engines being transported beyond the limits of the city, and other similar devices which may have smooth metallic tires, without cleats, lugs, spikes, projections, or sharp or uneven parts likely to cause damage to the surface of the roadway.
('73 Code, § 71.13) Penalty, see § 70.99