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Unformatted text preview: Faculty of Engineering and Industrial Sciences HES 5320  SOLID MECHANICS FE ASSIGNMENT  FLAT CIRCULAR PRESS. PLATE  2009 STUDENT NAMES & No.s : Matthew DeBrincat 6164811 INTRODUCTION : This assignment combines Practical Lab 1 with the Finite Element Analysis ( FEA ) of a pressure loaded circular plate with clamped edges (see Fig. 1 overleaf). The aim of this Assignment is to set up a computer model of the thin flat aluminium circular plate tested in Practical Lab 1, apply two (2) different Load Cases and then compare FEA deflection with experimental deflections and/or theoretical deflection. NOTES : 1) This document must be read in conjunction with Practical Lab 1. 2) Assignment worth 7 % . 3) Validation is an important concept in FEA – we need to carry out an independent check to ensure that answers from our FEA model are “reasonable’. FEA analysis may be carried out using SOLIDWORKS / COSMOSWORKS. PROCEDURE : 1. Set up an FEA model of the thin flat circular plate with clamped edges which was tested in Practical Lab 1 (also see Fig. 1 overleaf). 2. FEA Load Case 1 – To your FEM apply a uniform upwards acting pressure distribution over the entire plate of 20 and 40 kPa . Perform an analysis and note the resulting plate profile. Compare (graphically) the resulting deflection with your corrected experimental results from Prac. Lab. 1 for pressure steps Δ p of 20 and 40 kPa respectively . Also compare (graphically) FEA deflection with corresponding theoretical deflection  Eq’n. [16.26] (see Textbook or Prac. Lab. 1) for pressures of 20 and 40 kPa respectively – this should ‘Validate’ your FEA model. 3. F. E. Load Case 2 – For the same plate , assume a different loading case as follows – at the centre a Point Load, W, of 200 N acting downwards plus a constant pressure , p, of 40 kPa acting upwards over the entire plate (ie. in the opposite direction to W). Perform an analysis and note the resulting plate profile. To Validate this FEA result we can in this case use Theory Eq’n [16.26] gives the theoretical profile for the constant pressure case. For a circular clamped edge plate with a central Point Load, W , an equation for theoretical deflection is given in the Appendix overleaf . These two theoretical deflections can be added together using superposition . Compare (graphically) FEA deflection with corresponding theoretical deflection . DATA : 1. The circular plate is made from aluminium ; take E = 70 GPa, ν = 0.3. 2. Effective radius of clamped plate is a=110 mm . 3. Thickness of plate is 3.0 mm . Fig. 1  Flat Circular Pressure Plate Experiment ASSIGNMENT REPORT : You writeup of this Assignment. should address previously stated aim and must be submitted to Tracy’s pigeon hole (Box. 63, level 7, EN building) no later than 5:00 pm Friday 16th October 2009 ....
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 Finite Element Method, 175, theoretical deflection, Radial Tang, 0.222600 0.214400 0.205400 0.195600 0.185200 0.174200 0.162700

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