B$.$ Problem $9\mathrm{.}1(30$ pts $,$ Text, p$\mathrm{.}376,$ modified$)$:

Find the deflection at the load and the slopes at the ends for the steel beam shown in the figure below. Use three finite elements. Solve the problem longhand, it's OK to use computer for matrix manipulations, but don't use any FEA software. Consider the beam to be simply supported at bearings A and B$.$ Note that the values of the point load and Young's modulus are different from the textbook assignment.