Problem 3 Consider the rectangular beam below, of Young's modulus E and second moment of area/ Draw a free-body diagram of the beam. Write the equilibrium equations for the whole beam to find reactions. Write the local equilibrium equations. Determine the equations needed to solve for deflection along the beam using direct integration (no need to carry out all the calculations). 3 in. 8 p 20 lb/in C 3 in L 4 in M-240 lbfin