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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.
Assignment, 2018 STEN2005 Structural Analysis of Determinate Structures Instructions 1. This assignment includes 3 questions with a total mark of 100. 2. Submit your answers to the assignment office before 4pm 18/05/2018. Question 1 [30 marks] A frame structure is shown in Figure 1, in which points A, B and C are all pins. (a) Draw the shear and moment diagrams for the frame. [25 marks] (b) Determine the shear force and bending moment at points D and E of the frame. [5 marks] Figure 1Assignment, 2018 STEN2005 Structural Analysis of Determinate Structures Question 2 [35 marks] Determine the slopes and deflections at point C and at the mid-span of A-B of the beam shown in Figure 2 using the moment-area theorems. E is constant and I varies as shown in the figure. Express the results in terms of EI and show the sign conventions clearly. Figure 2Assignment, 2018 STEN2005 Structural Analysis of Determinate Structures Question 3 [35 marks] The truss shown in Figure 3 is constructed from a solid steel (circular) rod with a gross area Ag 2 of 628 mm . 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. [15 marks] Figure 3
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