For the structures shown below, all structural members have a strength of Mp , except the rightmost column which has a strength of 0.5Mp .
(a) Calculate the number of basic plastic mechanisms for the structure shown in part (a) of the figure below. Draw a sketch showing the plastic mechanism for each of the basic plastic mechanism identified.
(b) Calculate the number of basic plastic mechanisms for the structure shown in part (b) of the figure below. Draw a sketch showing the plastic mechanism for each of the basic plastic mechanism identified. Note that the only difference between the structures in parts A and B of the figure below is that the two middle columns for the structure in part B have hinges at their top and bottom.
(c) For the structure shown in part (b) of the following figure, use the upper bound theorem to find the maximum load V that can be applied to this structure. For this problem, check that the solution is a statically admissible solution.
