Question 6 (20 marks) A beam resting on elastic soil as depicted in Figure 1 is described by the following expression: dx A=2 d*y(x) + ky(x) = 9(x) HEO where E=3e+010 N/m2, I=8.75e-04 m; k = 200000 (4-054) N/m, 9(x) = 250x (**) N/m and Lis 10+A+H m L0.5x (i) Determine the displacement y through a finite difference approach with n=7 points. Beam is simply supported. 9 L Figure 1 beam resting on elastic soil Copy and paste your MATLAB code below: (10 marks) (ii) Plot the figure of the displacement y(x) below: (5 marks) (iii) What can you modify in your code to obtain the solution of a simply supported beam?: (5 marks) ModuleCode_SEM1_2021/2022 Page 8 of 9