M&a Lab Manual Full Part-b

Computer Aided Modeling and Analysis Laboratory

Department Of Mechanical Engineering, Don Bosco Institute of Technology

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Computer Aided Modeling and Analysis Laboratory

1) Stress Analysis of a Rectangular Plate with a Circular Hole Determine the maximum stress for a rectangular plate of 50mm x 80mm with hole of 10mm diameter in the center is loaded in axial tension. Thickness of the plate is 10mm. Take E = 200GPa

Theoretical calculation:

Results Comparison Deformation Stress

FEM 0.009284 mm 59.99 N/ mm2

Theoretical 62.5 N / mm2

Procedure: Steps to create geometry: 1) Select XY plane > Sketch 2) Select>Create rectangle> Press enter to define one corner of the rectangle( 0, 0,0) 3) Type X and Y coordinate of opposite corner of the rectangle ( 80, 50,0) 4) To crate hole: Select>circle by center and radius> Type center point of the circle (40, 25, 0)> press Enter. To define radius: check use relative> Enter DX= 5 mm( Radius of circle) 5) Exit from the sketch. Steps to solve the problem: 1) To generate 2-D mesh: Right click >1< XY top> > Create 2D mesh> Enter 500 in the mesh density tab > Apply,

Department Of Mechanical Engineering, Don Bosco Institute of Technology

35

Computer Aided Modeling and Analysis Laboratory

2) Define Element type (Plate), Element definition >Check design variable> Enter thickness (10 mm) and Material type (200GPa). 3) To Apply BC and Load: select all nodes in left side > Apply fixed BC > Select all nodes in right side> Apply Nodal force as shown below. (1000N/ No of nodes)> OK.

4) Perform Analysis. 5) Find out displacement, Maximum stress etc…

Department Of Mechanical Engineering, Don Bosco Institute of Technology

36

Computer Aided Modeling and Analysis Laboratory

Exercises: Determine the maximum stress for a rectangular plate of 50mm x 80mm with hole of 10mm diameter in the center is loaded in axial tension. Thickness of the plate is 10mm. Take E = 210GPa. Take Axial Load P = 100KN. Validate your results with theoretical results.

P

P

Department Of Mechanical Engineering, Don Bosco Institute of Technology

37

Computer Aided Modeling and Analysis Laboratory

2) Thermal Analysis -2D problem with conduction and convection boundary conditions Determine Temperature Distribution in a Plate. Material Alumina, 99.9%, AL203. Assume thickness of the plate 10mm

Solution: Step1: Start Algor – Start- Program files-Algor23.1- Fempro Step2: Select the "File: New" command. The "New" dialog will appear. Select the "FEA Model" icon and press the "New" button. Step3: Select –Thermal- Steady State Heat Transfer Step4: Select the New Button on the lower right corner Step5: Create a new Analysis file THERMAL 1 and save-this will open us the Working environment Step6: Go for Plane 1 , right click it and select Sketch. Now the Drawing Environment opens. Step7: Go for Geometry in the menu bar for the creation of rectangle element. Uncheck the USE AS CONSTRUCTION BOX. Create a rectangle by pressing enter for the starting corner and enter the values Z=20 and Y=10 and press enter to complete the rectangle. Step8: Double click the YZ plane to come out of the drawing environment. Step9: Right Click the element type and Select Plate. Step 10: Right Click Element definition and assign 0.1m for the thickness of the plate. Step11: Right Click Material and assign Alumina material from the material List. Step 12: Right Click the YZ plane and select create 2D Mesh option and create Mesh; you can modify the mesh also. Department Of Mechanical Engineering, Don Bosco Institute of Technology

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Computer Aided Modeling and Analysis Laboratory

Step 13: Select ---Selection-Shape-Rectangle. Step 14: Select ---Selection-Select -Vertices Step 15: Window the left side edge nodes and right Click to add Nodal Applied temperature. Give value 100. Repeat the procedure for all other sides.

Steps 16: Select –Analysis- perform Analysis Step 17 : Your window will change to Result window to show the results

Step 18: Select Automatic result generation to complete the tutorial

Department Of Mechanical Engineering, Don Bosco Institute of Technology

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