(25 Points) In the figure below, figure (a) shows a uniform beam subject to a linearly increasing distributed load which starts a 0 at the left end and increases to Wo on the right end. As depicted in (b), the beam deflection can be computed with: 1. Wo 0 where E is the modulus of elasticity [kN/cm2] and I is the moment of inertia [cm]. Calculate each of the following quantities (take the derivatives by hand) and plot them versus distance along the beam using Matlab. (a) Displacement y, (b) Slope x) dyldx], [M(x)-EId'yldrh, -L..o) Moment (c) (d) Shear [ Vx)-Eld'yld']. Use the following parameters for your computation: L-500[cm), E 35,000 [kN/cm21, I- 35,000 [cm*l, Wo 2.75 [kN/cm). Calculate the deflection every 20 [cm). Use the "subplot" function to display the plots in a 2x2 array in the the same figure in the order (a) to (d). Type "help subplot" at the Matlab prompt to learn how to use it. Include a title and axis labels (with units in square brackets) for each subplot. Plot the displacement with a solid blue line with dots at the data points, slope with a red dashed line, moment with a green dash-dot line, and shear with a magenta dotted line. (25 Points) In the figure below, figure (a) shows a uniform beam subject to a linearly increasing distributed load which starts a 0 at the left end and increases to Wo on the right end. As depicted in (b), the beam deflection can be computed with: 1. Wo 0 where E is the modulus of elasticity [kN/cm2] and I is the moment of inertia [cm]. Calculate each of the following quantities (take the derivatives by hand) and plot them versus distance along the beam using Matlab. (a) Displacement y, (b) Slope x) dyldx], [M(x)-EId'yldrh, -L..o) Moment (c) (d) Shear [ Vx)-Eld'yld']. Use the following parameters for your computation: L-500[cm), E 35,000 [kN/cm21, I- 35,000 [cm*l, Wo 2.75 [kN/cm). Calculate the deflection every 20 [cm). Use the "subplot" function to display the plots in a 2x2 array in the the same figure in the order (a) to (d). Type "help subplot" at the Matlab prompt to learn how to use it. Include a title and axis labels (with units in square brackets) for each subplot. Plot the displacement with a solid blue line with dots at the data points, slope with a red dashed line, moment with a green dash-dot line, and shear with a magenta dotted line