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PDE10_Plane_Truss_Design - CEE111 Practice Design Exercise...

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CEE111 Practice Design Exercise 10 Design of Plane Truss The simple plane truss shown in Figure 1 is to be designed to carry a load of 2,000 pounds applied at joint 6. The members of the truss are to be comprised of bars of circular cross section, pinned (i.e., supported no moment) at the six points shown in the figure. Figure 1. Simple Truss Configuration Although the design is required to use a single structural material in the final design, three different materials are to be considered for the bars: 1) Aluminum, 2) Stainless steel, and 3) Carbon Steel. The associated engineering, material, and cost properties of these materials are shown in Table 1. Table 1. Material Properties The budget available for the cost of materials in the construction of the truss is $10,000; i.e., the cost of materials cannot exceed $10,000. In addition to this budget condition, other engineering specifications must be maintained in the design: 1 6 5 4 3 2 15 ft 15 ft 20 ft 2000 lb Material Yieldf y (psi) E (lb in 2 ) Cost ($/lb) Density (lb/in 3 ) Aluminum 35,000 10.2 x 10 6 $1.05 0.100 StainlessSteel 40,000 27.6 x 10 6 $1.85 0.292 CarbonSteel 30,000 29.0 x 10 6 $0.40 0.284
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1. The stress in any member of the truss cannot exceed the yield stress, Y f . 2. In order to avoid the possibility of a buckling collapse, the compressive load in compression members cannot exceed the Euler critical buckling load, CR P .
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