MSC Tutorial Simple Cantilever Beam

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Home Academia Curriculum kit Simple Cantilever Beam

Problem: Using Patran/MD NASTRAN, calculate the displacement of a cantilever beam subjected to

a force of 10 lb on its free end. The beam dimensions are 12" x 1" x 0.1". The beam is made of an

isotropic material w ith an elastic modulus, E, of 30106

psi and a Poisson's Ratio of 0.3.

Note: If you need assistance on a step, just click on it for more information.

Note: Click on images to enlarge.

Step 1 - Create a new Patran database.Click onNewfrom the File menu or from the Defaults Toolbar as shown.1.Type the name of the new database as Cantilever_Beamand click OK.2.

Step 2 - Create the geometry of the beam using th e info rmation from the problem statement.Under the Geometry tab, click onSurface and select XYZ.1.Input the vector ofin the Vector Coordinates List and click Apply. There are no units in Patran, and therefore it is

important to stay consistent in units.

2.

Simple Cantilever Beam

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C Software Curriculum Kit http://www.mscsoftware.com/Contents/Academia/Curriculum-kit/Simp...

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Step 3 - Create the isot ropic material: elastic modulu s of 30106

and a Poisson's Ratio of 0.3.Under the Properties tab, select Isotropic.1.Input steel as the Material Name and then select Input Properties ....2.

Input 30106 as the Elastic Modulus and 0.3 as the Poisson's Ratio. Click OKand Apply..3.

Step 4 - Create a 2D surface physical property and apply the isotropic material to t he model.Click onShell under the 2D Properties section.1.Input 2D_plate as the Property Set Name and then click on Input Properties ....2.Click onSelect Material and select steel. Enter 0.1 as theThickness. Click OK.3.Click onSelect Application Regionand then click on the Select Members box. Screen pick the surface. Click Add, OKthen4.


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Apply.

Step 5 - Create boundary conditi ons: Const rain all tr anslation al degrees of freedom and the y-axis

rotation degree of freedom along the left end of the beam.Under the Load/BCs tab, select Displacement Constraint.1.

Input fixed_edge as the New Set Name and then click on Input Properties ....2.Input forTranslations (to prevent any translational movement) and for Rotations (to prevent rotation in they-direction). Click OK.

3.

Click onSelect Application Regionand then click on the Select Geometry Entries box. In the selection toolbar, select Curve orEdge. Screen select the left edge of the surface. Click Add, OKthenApply.

4.


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Step 6 - Create the load of 10 lb, provided in th e problem statement.Click onDistributed Load under the Element Uniformsection.1.Input z_load as the New Set Name and set theTarget Element Typeto 2D.2.Click on Input Data... and input as the Edge Distr Load. Click OK.3.Click onSelect Application Regionand then click on the Select Surface Edges box. Screen select the right edge of thesurface. Click Add, OKthenApply.

4.


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Step 7 - Create a finite element su rface mesh us ing th e Automatic Global Edge Length.Under the Meshing tab, click onSurfaceMeshers.1.Click on the Select Surface List box. Screen click the surface. Click Apply.2.

Step 8 - Run a lin ear static analysis u sing MD Nastran.Under the Analysis tab, select Entire Model. Ensure that theJ ob Name box is filled with a name and click Apply.1.


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Step 9 -At tach results fi le, then c reat e fr inge and def ormati on pl ots. Record maximum disp lac ement

and stresses.Click onXDB under the Access Results submenu.1.Ensure the appropriateJ ob Name is selected and click Apply.2.Under the Results tab, select Fringe/Deformation.3.Plot Stress Tensor and Displacements, Translational. Click Apply.4.


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An alyt ical Soluti on - Verify the resul ts by calcu lating th e analytical solu tion .

1.

Substitute: P=10 lb, L=12 in, E=30e6 psi, I=[1(0.1)3]/12 in the above equation.2.Results:max = 2.304 inches

MD Nastr an resu lts = 2.286995E+00 inches (You can open the 'Cantilever_Beam.f06' file with Notepad to view your results)

3.

To make the answers more precise, local shear effects must be taken into account.4.

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MSC Tutorial Simple Cantilever Beam