The Finite Element Analysis (FEA) of a Pressure Loaded Circular Plate - Engineering Assignment Help

Assignment Task

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 aluminum 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 12 % (individual report).

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 is carried out using ANSYS.

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 – Apply a uniform upwards acting pressure distribution over the entire plate of -20 and -40 kPa (negative), respectively. Perform an analysis and note the resulting plate profile.

Compare (graphically) the resulting deflection with your corrected experimental results from Practical Lab. 1 for pressure steps ? p of 20 and 40 kPa respectively.

Also compare (graphically) FEA deflection with corresponding theoretical deflection - Eqn. [16.26] (see Text-book or Practical Lab. 1) for pressures of 20 and 40 kPa respectively.

3. FEA Load Case 2 – For the same plate, apply a different loading case as follows – at the center a Point Load W acting upwards, together with a constant pressure p of -40 kPa ( negative) acting upwards over the entire plate (i.e. in the same direction to W). Perform an analysis and note the resulting plate profile.

IMPORTANT: The Value of the point node W is equal to the last 3 digits (N) of your STUDENT NUMBER. For instance, if your STUDENT NUMBER is 123456, then W = 456 N (positive).

To validate this FEA result we can use the Eqn. [16.26] given 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 aluminum; take E = 70 GPa, n = 0.3.

2. Effective radius of clamped plate is a=110 mm.

3. Thickness of plate is 3.0 mm.

ASSIGNMENT REPORT:

Type and edit your report using Microsoft Word. Plot graphs using graphic paper or computer software. Please submit your report through Canvas by due Date – 2 weeks after the third Computer Lab. Please scan your report and save the whole report as one PDF file with a name of Your Surname_Initial_Student ID_Comp Lab.pdf. Please note that one report for each student. Also please refer to Unit of Study Outline for penalties etc.

The Report must include (in order):

· This 3 pages handout as cover sheet /results for your report.

· For Load Case 1 - Graphs (to scale) comparing FEA deflection with corrected experimental deflection and with theoretical deflection for p = 20 and 40 kPa, respectively. Please note vertical axis of graphs should be ‘Z’ deflection and horizontal axis should be diametral location. (2 Marks)

· For Load Case 2 – A Graph (to scale) comparing FEA deflection with theoretical deflection Please note that vertical axis of graphs should be ‘Z’ deflection and horizontal axis should be diametral location.

· Sample theoretical calculation for Load Case 2.

· Discussion and Conclusion. 

· A Table summarizing numerical values obtained in each case, as an Appendix at end of Report.

APPENDIX :

For a flat thin circular plate subject to uniform pressure with a clamped periphery (as shown in Fig. 1), it is expected that deflected profile will be a smooth ‘bell shaped’ curve according to the following equation: (Ref.: Chapter 16 in “Mech. of Eng’ng Mat’ls” by Benham, Crawford and Armstrong)

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