A bimetallic actuator with a tip is placed in an oven and is arranged as shown in Fig. P8.6. The displacement of the tip is given by y = βΔT, where β and ΔT denote a constant and the temperature change. At ΔT1, the tip touches the upper cantilever beam, which is made of a uniform material and remains straight as the temperature increases by ΔT. The flexural rigidities of both cantilevers are EI. If the entice structure undergoes an additional temperature change of 2 ΔT, find the deflection of the free end of the upper beam.