An agricultural harvester includes a chassis and a grain tank carried by the chassis. The grain tank includes a frame having an opening formed therethrough; a pair of tank cover sections movably associated with the frame such that the tank cover sections can switch between an open position and a covering position relative to the opening of the frame; and at least one actuator linked to at least one of the tank cover sections and configured to selectively provide a switching force. The agricultural harvester further includes a force assistor or a brake linked to one of the pair of tank cover sections and configured to apply an assist force or a braking force, respectively, to one of the pair of tank cover sections but not the other of the pair of tank cover sections.