The force which acts on the elevator while it starts its motion are described as follows :
1. The elevator when starts from rest, moves in a direction opposite to the gravity, hence there is an upward force which acts on the elevator. It is more than the weight due to gravity of the elevator to cause the motion. This upwards force is the force produced by the strings pulling the elevator upwards.
2. The downwards force is the weight of the elevator which is being imposed due to the gravity of the Earth to pull everything towards it, and the mass of the elevator. This downward force is less than the upward force.
3. When the elevator stops, the upward force and downward force are equal but opposite in magnitude.
