10. For the clamped beam shown in the figure, two design variables are defined, as /i = bi and h = b2. Using the finite element method and sensitivity analysis, calculate the sensitivity of the vertical displacement V2 with respect to b\ and &2- Use the following values for the current design: E = 30 x 106 psi, bx = 0.1 in4, and ^ = 0.05 in4. Compare the results with the exact sensitivity.