suspended from hoisting cables 6 above a sloping floor 5 the lower part is provided with a base plate for resting on the floor the base plate is also provided with anchoring means 8 in fig2 the entire supporting construction has been lowered with respect to fig1 and the lower part 1 has landed on the floor 5 and its base plate 19 is resting on the floor 5 the upper part 2 is still suspended above the lower part 1 the lower part 1 is anchored in the ground 5 through anchoring means 8 being sunk into the ground 5 the lower part 1 is tilted with respect to the upper part 2 and has adapted to the condition of the floor 5 in fig3 the upper part 2 has been lowered onto the lower part 1 the upper part 2 rests with its cone 4 on the sphere 3 of the lower part 1 the friction occurring between the cone 4 and the sphere 3 as a result of the weight of the upper part 2 ensures that the upper part 2 is stably positioned the spherical element 3 of the lower part 1 and the conical element 4 of the upper part 2 together ensure that the orientation of the upper part 2 remains unchanged while landing on the lower part 1 this unchanged orientation is completely independent of the slope of the floor 5 in fig4 fig 6 a supporting construction is shown in a second embodiment of the invention wherein the upper part 2 is provided with a spherical element 3 that cooperates with a conical element 4 of the lower part 1 in the embodiments shown in fig1 fig 6 the cooperating elements of the lower part 1 and the upper part 2.