Methods provide for the controlled application of forces to a structure during leveling and securing procedures. According to embodiments described herein, a structure is supported at a number of support locations. An upward force is applied to the structure by the force application devices to counteract an equivalent downward force from the structure at each support location. The forces applied by the force application devices are monitored to detect whenever one or more of the upward forces deviates outside of a threshold range of force values, which includes a quantity of force sufficient to counteract internal forces within a material of the structure. Each force may be adjusted to ensure no deviation outside of the allowed threshold range.