exercise 1 axial element

Chapter 2-Axial Problem: Exercise 2.1Figure 2.3 shows a simple axial problem. The cross section is not uniform. Thisgives a good understanding to students how they approach using axialelements with constant cross sections.

Finite Element Method Laboratory BDA4033Edit By: Engr. Shaiful Rizal Bin Hj. Masrol

Chapter 2-Axial Problem: Exercise 2.1When using axial element, the element has constant cross section. In order tosolve this problem, either outer or inner cross sectional approach can beapplied. In outer approach using 3 elements, the cross sections used are A1, A2and A3 whereas in inner approach A2, A3 and A4.

The information given is only the cross section areas. It is assume the elementis square bar, the sides for A1, A2, A3 and A4 are 0.06m, 0.05m, 0.03m and0.02m, respectively.


Chapter 2-Axial Problem: Exercise 2.1Go to menu Model> Type of Analysis.

The problem is axial problem (2D) under static loads, select 2D and Static then select General


Chapter 2-Axial Problem: Exercise 2.1Go to menu Model > Global Properties, then select the Output Options tab and

enable Element field values (non-averaged).


Chapter 2-Axial Problem: Exercise 2.1There are three different cross sections. In this case three materials should be

Prepared. Go to Model > Materials. Click Add, Type Material 1 as name. In Geometric tab, choose Rectangular Bar and enter the a: 0.05m and b: 0.05m.


Chapter 1-Axial Problem: Exercise 1 Go to Mechanical tab , Choose Isotropic

Enter Youngs Modulus: 70GPa and Poisson Ratio: 0.3 > Add Material 2


Chapter 2-Axial Problem: Exercise 2.1Click Add, Type Material 2 as name. In Geometric tab, choose Rectangular Bar

and enter the a:0.03m and b: 0.03m.


Chapter 2-Axial Problem: Exercise 2.1 Go to Mechanical tab , Choose Isotropic

Enter Youngs Modulus: 70GPa and Poisson Ratio: 0.3 > Add Material 3


Chapter 2-Axial Problem: Exercise 2.1Click Add, Type Material 3 as name. In Geometric tab, choose Rectangular Bar

and enter the a:0.02m and b: 0.02m.


Chapter 2-Axial Problem: Exercise 2.1 Go to Mechanical tab , Choose Isotropic

Enter Youngs Modulus: 70GPa and Poisson Ratio: 0.3 > Close


Chapter 2-Axial Problem: Exercise 2.1 Go to Nodes tab , Choose Add Single.

Enter and Add the coordinate of 4 nodes as below (refer figure 6.3).


Chapter 2-Axial Problem: Exercise 2.1Click Close button to exit the dialog. You have created 4 nodes.

Click Show Node Numbers On/Off symbol.


Chapter 2-Axial Problem: Exercise 2.1To see the nodes information, click Nodes tab and click List Info. Check the

coordinate of the 4 nodes created.


Chapter 2-Axial Problem: Exercise 2.1Go to menu Elements > Add Single, then select Line 2 , choose material 1 and click

node 1 and 2 to define element 1. Then, continue the step for element 2 (material2) and element 3(material3). Click Show Element Numbers On/Off symbol.


Chapter 2-Axial Problem: Exercise 2.1To see the elements information, click Element tab and click List Info. Check the

information of the 3 elements created..


Chapter 2-Axial Problem: Exercise 2.1Node 1 is restrained which is not allowed to move. Since this is axial problem,restraining in x and y translations should be sufficient to define the fixedcondition. Pick the node to be restrained, i.e. node 1, then go to menuConstraints . Add/Edit and a Node Properties dialog appears (next page)


Chapter 2-Axial Problem: Exercise 2.1Select the Property selection bar to displx then click Add then OK to accept

displx=0 and exit the dialog and back to the previous dialog.


Chapter 2-Axial Problem: Exercise 2.1Select the Property selection bar to disply then click Add then OK to acceptdisply=0 and exit the dialog and back to the previous dialog. Click the Closebutton to exit the Node Properties dialog.


Chapter 2-Axial Problem: Exercise 2.1The constraint symbols at node 1 should appear as follows:


Chapter 2-Axial Problem: Exercise 2.1There are two nodes will be loaded. One is located at node 2 with a load of 250N to the left andanother one located at node 4 with a load of 1000N to the right. Since the x direction is going tothe right direction, the loading at node 2 should be indicated as negative.

Pick node 2 by clicking on it, then from the menu Loads . Add/Edit. A dialog appears waiting yourresponse


Chapter 2-Axial Problem: Exercise 2.1Select the Property selection bar to forcex then click Add then in the Valuefield enter 250 then press OK to accept forcex=-250 and exit the dialog andback to the previous dialog. Click the Close button to close the dialog


Chapter 2-Axial Problem: Exercise 2.1Now you have to do the same thing for node 4 to define a load of 1000N isapplied of the node. Pick node 4, then from the menu Loads . Add/Edit . Then,select the Property selection bar to forcex then click Add then in the Valuefield enter 1000 then press OK to accept forcex=1000 and exit the dialog andback to the previous dialog. Click the Close button to close the dialog.


Chapter 2-Axial Problem: Exercise 2.1You should see the green arrows; one going to the left at node 2 and anotherone right arrow at node 4.


Chapter 2-Axial Problem: Exercise 2.1If you want to see the element faces to view the real appearance of the

difference cross sections, go to the menu View . Options then enable Shaded Element Faces or click Toggle Hidden Line Symbol.


Chapter 2-Axial Problem: Exercise 2.1The analysis model is now ready to solve. Click Solve Symbol to run the solver.After the solver completing doing the analysis successfully, then click the Post

Processor button to open the viewing result environment.


Chapter 2-Axial Problem: Exercise 2.1You will see the default Displacement Magnitude contour shown in Figure 2.5


Chapter 2-Axial Problem: Exercise 2.1If you change the viewing result to Displacement in X the result is exactly thesame, because the displacement is in x direction only.


Chapter 2-Axial Problem: Exercise 2.1To see the result in table , click the table icon the table dialog box will appear.Choose the field value that you wanted to appear in the table. Then clickUpdate. To place the result in Microsoft Excel just click Copy to Clipboard andpaste it inside the Excel Worksheet.


exercise 1 axial element

Documents

axial element

shaiful rizal bin hj

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geometric tab

type material

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