A concrete storage tank structure comprises a tank including a floor slab having a periphery and a wall having inner and outer faces extending upwardly from the floor slab at a position adjacent the periphery of the latter. The tank structure further includes a shear pad extending outwardly away from the tank from a position adjacent a lower portion of the outer face of the wall. The shear pad and the tank are positioned relative to one another in such a way that a space is provided therebetween and a number of elongated flexible connecting elements are arranged so as to extend through the space in interconnecting relationship relative to the shear pad and the tank. A strip of resilient neoprene elastomeric material is disposed in the space. The shear pad is thus flexibly attached to the tank in such a way that the forces imposed on the wall of the tank by the shear pad during movement of the tank during use are minimized.