Mechanical Behavior The basic structure of a bicycle frame is shown below. The mechanical properties of materials used in bicycle frame manufacturing are listed below. (a) Consider that the load exerted on the seat tube during riding can be as high as 5X the rider's weight. Consider a frame made from AZ31B magnesium alloy with an outer tube diameter =2.5cm, an inner tube diameter =2.45cm, and length =47cm. Recall that weight = mass acceleration of gravity. Calculate the corresponding stress on the seat tube for a rider with mass =50kg. (b) Calculate the corresponding strain under the load of the 50kg rider. (c) Calculate the final outer diameter of the seat tube under the maximum load of the 50kg rider. (Ignore the inner diameter for this problem) (d) Calculate the remaining strain after the 50kg rider has dismounted from the bicycle. (e) If the 50kg rider has a friend who weighs 150kg, would you advise her to allow this friend to ride her bike? Why or why not? Use terminology associated with the mechanical behavior of the magnesium alloy to explain your