A ground engaging segment providing a running surface for wheels, endless tracks and the like, which is not pneumatic in nature, thereby not susceptible to puncture, and which is resiliently flexible to offer some resistance to shock. The ground engaging segment comprises a base and a number of removable, hollow, tubular ground engaging elements which extend transversely of the direction of travel of the running surface. Said ground engaging elements include an inner face for engagement to the base and an outer face for contact with the ground surface, and angular shaped side faces between the inner and outer faces allowing for resilient flexibility under normal load conditions. It is preferable that the ground engaging elements are open at their ends to allow for dissipation of heat and are arranged in circumferential rows, defining a chevron pattern, to prevent resultant side thrust imposed upon the running surface. In addition, the ground engaging elements are constructed angularly to provide a line about which the side faces can flex, and include a flexible internal reinforcement, built in to the walls of the faces of the ground engaging element to provide reinforcement for the ground engaging element, while maintaining flexibility.