School of Mechanical and Electrical Engineering Faculty of Health, Engineering and Sciences University of Southern Queensland MEC3302 – Computational Mechanics in Design, S1 2017 Assignment 1 – Marks 200/1000 th Due: 27 March 2017 Assignment 1 consists of 2 questions. Please provide your answers in one pdf file. Note that your FEA details should be provided under each relevant section of the questions and should not be presented as a separate report. Question 1 (120/200 marks) Problem Statement Q XXXXXXXXXXMarks) Using the stiffness method, determine the axial forces within members and the deflections of the joints of the truss shown in the Figure 1. The truss was built using 50 mm x 50 mm x 3 mm SHS with E= 200 GPa (approx). Show local stiffness matrices for each member and the assembled global stiffness matrix. Show your step by step solution. Use a convenient method to solve the matrix (e.g. inverse matrices). (Cross members 0 AC and BD are not connected at the middle and ? = 60 ) Q XXXXXXXXXXmarks) Perform an appropriate finite element analysis for the truss using Creo 3.0 Simulate and tabulate the results i.e. axial forces of the truss members and the displacements at the joints. Compare your results with the manual calculations. Note: 1. Do not include self-weight of the members in the analysis 2. Use beam elements (lines) for FEA 110 kN ? 8 kN D C Not connected E A B 20 kN 10 kN 5m 4m Figure 1: Truss Arrangement 2 4 mQuestion 2 (80/200 marks) Q XXXXXXXXXXMarks) Figure 3 shows a Universal Beam 250UB 37.3 use on a chemical plant 1. Determine the reactions at the supports. 2. Draw Bending Moment (BM) and Shear force (SF) diagrams for the beam AB. (Hint: Use method of superposition) 3. Calculate vertical displacement at the mid-span of the beam (Hint: Use method of superposition) 4. Calculate maximum bending stress at the mid-span of the beam 5. Calculate maximum shear stress at the mid-span of the beam Q XXXXXXXXXX...
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