If the temperature in a fixed - fixed beam (Fig. 3.18 a) of Young's modulus E , cross - sectional area A , length l , and the coefficient of thermal expansion α is given by T - T0 = Tmax sin(πx/l), where Tmax is a constant, x is the coordinate from the left end of the beam, and T - T0 is the temperature difference. Determine the thermal stress in the beam.
Figure 3.18a