A bridge having a horizontal top cord is span between tow piers A and B having an arbitrary height. It is required that a pin-connected truss be used, consisting of steel members bolted together to steel gusset plates. The end supports are assumed to be a pin at A and a roller at B. A vertical loading of 5 kN is to be supported within the middle 3m of the span. This load can be applied in part to several joints on the top cord within this region or to a single joint at the middle of the top cord. The force of the wind and the weight of the members are to be neglected. Assume the maximum tensile force in each member cannot exceed 4.25 kN; and regardless of the length of the member, the maximum compressive force cannot exceed 3.5kN. Design the most economical truss that will support the loading. The members cost $7.50/m and the gusset plates cost $8.00 each. Submit your cost analysis for the materials, along with a scaled drawing of the truss, identifying on the drawing the tensile and compressive force in each member. Also include your calculations of the complete force analysis.