A limit switch assembly including a shape memory member, a furnace system for incorporating the same, and a method for controlling a furnace are provided. The limit switch assembly includes a switch communicatively connected to a control board of a furnace. The switch is configured to send a signal to the control board when actuated. The shape memory member is configured to actuate the switch. The control board, in certain instances, shuts off the furnace and arrests the supply of combustible gas when receiving the signal from the switch. The shape memory member, in certain instances, actuates the switch as a result of being heated.