Using singularity functions determine the deflection function for the beam in Problem 1. The cross section of the beam is a 2cm square cross section with a modulus of elasticity of 200GPa. a. Draw another free body diagram of the beam with solved reactions at the supports b. Construct a load function, g(x), representing the loads as singularity functions c. Show every step and solution with integration constants d. Apply boundary conditions to solve for unknown constants e. Find the deflection of the beam at the center