1 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 Due: 27th 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 Q1.1 . (80 Marks) 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 AC and BD are not connected at the middle and θ = 600) Q1.2 (40 marks) 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 FEA2 4 m 5m 4m θ θ 10 kN 10 kN 20 kN Not connected 8 kN A D E B C Figure 1: Truss Arrangement3 Question 2 (80/200 marks) Q2.1 (40 Marks) 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 Q2.2. (40 Marks)Perform a detailed beam analysis using Creo3.0 simulate (use beam elements) for the beam as shown in Figure 3. Tabulate manual calculations and FEA results. Compare your FEA results with the manual calculations. You need to show beam's Reactions at the supports/BM diagrams/Shear force diagrams/bending stress plot/shear stress plot and a deflection plot as necessary Note:  Beam section details (One Steel) is posted on the study desk.  Tabulate results of manual calculations and FEA.4 X X Y Beam section 250UB37.3 6 m 3m 10 kN/m 5 kN vertical point load 3 kN/m 6 kN/m X Y Y Figure 2: Structural beam