Part A) For the beam shown below, determine the vertical displacement of the beam at midspan(a distance of x = 7ft) using superposition. Clearly identify your final answer indicating the magnitude and direction of the deflection. Part B) Determine the maximum deflection along the beam and where it occurs (what is the value of x when deflection is at its maximum?) Two ways to accomplish this are: 1) Develop a spreadsheet to compute the deflection due to the different loadings at incremental points along the beam. 2) Combine the elastic equation of each loading to develop a single elastic equation for the beam, and then take the derivative to find the maximum value. Assume the beam has a constant Young's Modulus of E = 4000ksi and a constant Moment of Inertia of I=1120in¹

Fig: 1

Fig: 2

Fig: 3

Fig: 4

Fig: 5

Fig: 6