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The truss shown in Figure 3 is constructed from a solid steel (circular) rod with a gross area Ag of 628 mm2 . The elastic modulus is E = 200 GPa. The support at A is pinned and C is a roller. Assume all connections are pinned and frictionless. (a) Calculate the horizontal deflection of the truss at the joint B using virtual work. [12 marks] (b) Check the result in (a) using the Castigliano’s theorem [8 marks] (c) Determine the smallest diameter rod (solid circular steel section with elastic modulus E = 200 GPa and yield stress 350 MPa) that could be used for the members to prevent buckling or yielding, using a safety factor of 2 against buckling.
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