A sub-assembly from a crane machine is bring into study that is shown in figure 1. The beam of study is under influence of 3beams that is exerting the load of 5KN, 3KN and 2KN respectively on it. The simplified vector diagram of beam of study is shown in figure 2. The decision needs to be taken regarding the orientation with which the beam of study should be used in order to obtain the greater FOS. Beam 1 = 5KN Beam 3 = 2KN Beam of study Beam 2 = 3KN Figure 1. Sub-assembly of crane machine SKN 2KN 3KN Material 1060 Aluminium Alloy E = 69GPA Sy 27.5MPA All dimensions are in 'm 0.1 0.06 To.1 0.06 Orientation 1 Orientation 2 Figure 2. Vector Diagram For the above scenario, answer the following questions. 1. Which will best orientation for current scenario? a) Draw shear force bending moment diagram [CLO 1: C2:PLO1:2marks] b) Identify the critical element [CLO 1: C2:PLO1:Imarks] c) Calculate the inertia for both orientations [CLO 2: C3:PLO2:3marks] d) Calculate the maximum and minimum principal stress use both inertia (CLO 2: C3:PLO2:3marks] e) Use MSS and DE and find FOS for both inertia's [CLO 2: C3:PLO2:2marks] D Based on the observed FOS, discuss which beam orientation will be best? [CLO 1: C2:PLO1:1marks] 2. Calculate the deflection at x-0.3m, X3D0.9m and x-1.4. (For the selected orientation only) a) Derive 'y' function for individual forces using superposition and Macaulay's singularity function. [CLO 2: C3:PLO2:4marks] b) Derive total general solution for linear deflection 'y'. [CLO 2: C3:PLO2:2marks] c) Use the above mentioned three floating values of 'x' i.e., 0.3,0.9 and 1.4 and determine 'y' at each. [CLO 2: C3:PLO2:2marks]