A system and methods for disassembling a machine is provided. The machine includes a casing including a plurality of arcuate channels defined therein. The system includes a reaction bridge configured to couple to a casing, the reaction bridge including a first leg, a second leg and a support beam extending therebetween, a force device including an actuator and a connecting rod extending therefrom, wherein the force device is coupled to the reaction bridge support beam. The force device is configured to apply a force to an end of a segment positioned in one of the casing channels. The system also includes a clevis assembly coupled to the connecting rod, wherein the clevis assembly is configured to engage the segment to facilitate removal of the segment from the rotary machine.