A shock absorbing tire and wheel assembly, particularly suitable for civil engineering plant comprises interconnected outer (15) and inner (14) chambers. The chambers are interconnected by passages which preferentially allow flow from the outer chamber (15) to the inner chamber (14). The passages preferably include at least one passage (21) which permits flow in either direction between the chambers and at least one passage (22) which permits flow from the outer chamber to the inner chamber, but prevents or restricts reverse flow. The passages (22) may be fitted with flap valves (23).