A retractable stability-boom called the "outrigger", is attached to the back of a heavy-lift truck and is designed to provide stability for lifting heavy off-centered loads. Figure 1 shows the

stability-boom attached to the back of a truck in its retracted position. Figure 2 shows the stability boom fully extended and engaged for an off-center lift. Given that the stability-boom is a 3-stage telescopic arm as shown in Figure 2, made of structuralA-36 steel with the Elastic Modulus, E = 208 GPa, Poisson's Ratio, v = 0.33, and yield strength,Oys = 265 MPa. Assume that the 2-largest telescopic stages are rectangular-tubular in x-section and the final stage is a rectangular tube with closed end (Figure 2). The stability boom is 1.75-meter long in its retracted position and 3.75-meter long in the fully extended configuration. Assume that each of the 3-telescopic stages have equal exposed lengths in the fully extended configuration. The truck is designed for a load capacity of 60,845 kg on the free-tip of the stability boom.Determine the x-section dimensions of the stability boom using the following steps: (a) Develop a Conceptual-Model for the fully-extended configuration of the stability-boom.Identify any assumptions, constraints, and boundary conditions. Justify why they are reasonable, and why the conceptual-model of the physical structure will represent the structure accurately. (b) Based on the Conceptual-Model in Part (a), develop a Finite-Element Model of the stability boom using (i) BEAM Elements (ii) Solid Elements. Initially assume the cross-section dimensions.Show screen-shots of your meshed-model with dimensions, boundary conditions, and loads. (c) Determine the required section dimensions for the stability-boom iteratively starting from your initial guess in Part (b), using both the BEAM model and the Solid Model? Assume a Factor-of-Safety of 3 at maximum load. Show all the cases analyzed. Clearly list any section-properties used. (d) Determine the free-end deflection at maximum load? Show the deformed and undeformed configuration of the stability-boom. (e) Show the contour plot of the von-mises stress, and the longitudinal normal-stress along the length. Identify the location of maximum stress in the stability boom? (f) Using your finite element model, show if a higher load capacity can be attained using an alternate cross-section of the stability boom? Show all the sections analyzed.