A container assembly and aircraft fuselage for air transport of freight. The container assembly includes a spacer layer formed of malleable material. The spacer layer is positioned between and in contact with a bottom plate of the container and the floor of an aircraft. The aircraft fuselage for the freight transport is equipped with a floor adapted to receive and bear a load. A spacer layer integral with the floor is positioned between the floor and the load. The spacer layer is formed of a malleable material.