You have been asked to design a new mobile crane (Figure) that will carry up to 200 tons. The basic design consists of a jib (working arm) and which is a long cantilever beam with square section and a steel rope which is used to lift the load up. The length of the beam (jib), which should be lightweight, is fixed but you are free to vary the crosssectional area. There are two constraints on the beam: it should be designed in such a way that the deflection should be limited to a value of d, and it should also not fail under load. In addition, the steel rope has a cylindrical cross-sectional area but with a fixed length. It must be as cheap as possible and be designed to extend by no more than, d. a) State the function, objective, constraint(s) and free variable(s) for the jib b) Derive the material performance index (or indices) to meet the constraint(s) for the jib. c) State the function, objective, constraint(s) and free variable(s) for the steel rope d) Derive the performance index for the steel rope. 19 Jib Steel rope Load