12 Cant Beam 1D 2D PAT301

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PAT301, Workshop 13, December 2005

Copyright 2005 MSC.Software Corporation

WORKSHOP 13

CANTILEVERED BEAM USING 1D OR2D ELEMENTS, AND ANALYSIS

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z Workshop Objectives

z Create two models of a cantilevered beam. The models are for1D (bar elements) or 2D (plate elements). Compare the resultsfrom the analysis for the models.

z Problem Descriptionz Compare the deformation and stress results for the two types of

models.

z Piston material: Aluminum with E = 10 x 106 psi and = 0.3

z Force on tip of beams = 10 lbf

z Software Version

z MSC.Patran 2005r2z MSC.Nastran 2005r2b

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z Key Concepts and Steps:

z Database: create a database with Analysis Code = MSC.Nastran and

Analysis Type = Structural

z Geometry: create a 5 x 1 x 1.5 parametric solid

z Elements: create 2D Quad4 mesh on the four long sided faces of the solid

z Loads/BCs: apply concentrated force at free end of cantilevered beam.

Constrain cantilevered end of beam.

z Materials: create material properties for beam; use aluminum properties.

z Properties: create properties for Quad4 elements. They include both

bending and membrane properties.

z Analysis: Solution Type = Nastran Linear Static, Solution Sequence =

101, Method = Full Run

z Analysis: access analysis results by attaching the XDB file to database

z Results: view both the deformation and stress results

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z Key Concepts and Steps: (continued)

z Database: create a database with Analysis Code = MSC.Nastran and

Analysis Type = Structural

z Geometry: create a curve

z Elements: mesh the curve with 1D Bar2 elements. Create a rigid link(MPC) for force application at the free end of the cantilevered beam.

z Loads/BCs: apply a concentrated force at the free end of the MPC

z Materials: create material properties for beam; use aluminum properties.

z Properties: create properties for Bar2 elements. Use the Beam Library

and select the rectangular cross-section option.

z Analysis: Solution Type = Nastran Linear Static, Solution Sequence =

101, Method = Full Run

z Analysis: access analysis results by attaching the XDB file to database

z Results: view both the deformation and stress results

z Results: compare the 2D and 1D model results

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Step 1. Create a Database for 2D Element Model

Create a new database for 2D

element model.

a. File / New.

b. Entercant_beam_2D as

the file name.

c. Click OK.

d. Choose Default Tolerance.

e. Select MSC.Nastran as the

Analysis Code.f. Select Structural as the

Analysis Type.

g. Click OK.

a

b

e

f

d

c g

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Step 2. Create Solid Geometry

a. Geometry: Create / Solid /XYZ.

b. Select on Vector

Coordinates List and enter

< 5 1 1.5 >.

c. Apply.

d. Change view to Iso 1 View.

a

b

c

d

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Step 3. Create 2D Element Mesh

a. Elements: Create / Mesh /Surface.

b. Element Shape: Quad.

c. Mesher: IsoMesh.

d. Topology: Quad4.

e. Click on Surface List and

select the four long faces ofthe solid, not including the

end faces.

f. Uncheck Automatic

Calculation.

g. Enter0.5 forGlobal Edge

Length.h. Apply.

a

g

h

f

e

bc

d

S

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Step 4. Display Free Edges

a. Elements: Verify / Element /Boundaries.

b. Display Type: Free Edges.

c. Apply.

d. As shown in the figure,

yellow lines along the solid

edges should appear

a

b

c

St 5 C t th El t T th

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b

Step 5. Connect the Elements Together

a. Elements: Equivalence / All /Tolerance Cube.

b. Apply.

Notice that magenta colored circles

are drawn where nodes areequivalenced.

a

St 6 Di l F Ed A i

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Step 6. Display Free Edges Again

a. Elements: Verify / Element /Boundaries.

b. Display Type: Free Edges.

c. Apply.

No longer do the yellow lines in the

long direction appear. This means

that the adjacent 2D quad elementsare connected.

a

b

c

Step 7 Appl a Force at One End

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Step 7. Apply a Force at One End

a. Loads / BCs: Create / Force

/ Nodal.b. Select on New Set Name

and enterforce.

c. Input Data.

d. Enter forForce

.

e. OK.f. Select Application Region.

g. Geometry Filter: Geometry.

h. Click on Select Geometry

Entities.

i. Select Point or Vertex icon

from the Pick Menu.

a

bc

d

ef

g

h

i

Step 7 Apply a Force at One End (cont )

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Step 7. Apply a Force at One End (cont.)

a. Turn on the Point labels.

b. Select on the point (Point 7)

as shown in the figure.

c. Add.

d. OK.

e. Apply.

Close-Up

b

c

d

a

Note that selecting Point 7 and

Vertex Solid 1.2.2.2 isequivalent.

Step 8 Create Constraints

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Step 8. Create Constraints

Constrain beam at other end, fixing

all six degrees of freedom at all

nodes.

a. Loads / BCs: Create /

Displacements / Nodal.

b. Select on New Set Name:

and enterfix_end.

c. Select Input Data.

d. Enter for

Translations

and Rotations .

e. OK.

f. Click on Select Application

Region.

g. Select Geometry for

Geometry Filter.

h. Click on Select Geometry

Entities.

i. Select Curve or Edge icon

for the picking.

a

b

c

d

ef

g

h

i

Step 8 Create Constraints (Cont )

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a. Select the four solid edgesas shown in the figure.

b. Add.

c. OK.

d. Apply.

Step 8. Create Constraints (Cont.)

Select these edges a

b

c

Step 9 Create Material Properties

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Step 9. Create Material Properties

a. Materials: Create / Isotropic /

Manual Input.

b. Select on Material Name

and enteraluminum.

c. Select Input Properties.

d. Enter:Elastic Modulus: 10e6.

Poisson Ratio: 0.3.

e. OK.

f. Apply.

a

b

c

d

ef

Step 10 Create Element Properties for the 2D Quad Topology

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Step 10. Create Element Properties for the 2D Quad Topology

a. Properties: Create / 2D /Shell.

b. Option(s): Homogeneous /

Standard Formulation.

c. Select Property Set Name

and enteralum_2D.

d. Select Input Properties.e. Click on Material Property

Name icon and select

aluminum underSelect

Existing Material.

f. Thickness: 0.1.

g. OK.

a

b

c

d

e

f

g

Step 10. Create Element Properties for the 2D Quad Topology (Cont.)

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Step 10. Create Element Properties for the 2D Quad Topology (Cont.)

a. Click on Select Members.b. Select the four long solid

faces.

c. Add.

d. Apply.

e. Turn off the Point labels.

a

b

c

d

Step 11. Check Assignment of Loads and BCs to Load Case

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Step 11. Check Assignment of Loads and BC s to Load Case

a. Load Cases: Modify.b. Select Default in Select

Load Case to Modify.

c. Check that all Loads and

BCs are selected.

d. Cancel.

a

b

c

d

Step 12. Run the Analysis

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p y

Run the analysis of the model.a.Analysis: Analyze / Entire

Model / Full Run.

b. Select Solution Type.

c. Choose LINEAR STATIC for

Solution Type.

d. OK.e.Apply.

b

c

d

a

Step 13. Read Results Under Analysis

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p y

Attach the .xdb file to read theresults.

a. Analysis: Access Results /

Attach XDB / Result Entities.

b. Click on Select Results

File.

c. Select and attachcant_beam_2D.xdb.

d. OK.

e. Apply.

c

d

a

b

e

Step 14. View Results

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p

a. Results: Create /

Deformation.

b. Select Results icon.

c. Select A1:Static Subcase

underSelect Result Cases.

d. Select Displacements,Translational underSelect

Deformation Result.

e. Show As: Resultant.

f. Apply.

a

b

c

d

e

Step 14. View Results (Cont.)

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a. Results: Create / Fringe.b. Select A1:Static Subcase


c. Select Stress Tensorunder

Select Fringe Result.

d. Quantity: X Component.

e. Select Plot Options button.f. Coordinate Transformation:

Global.

g. Apply.

a

b

c

d

e

f

Step 15. Stress Results and Save a Copy of the Database

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Display X component of stress fringe

plot. Save a copy of this database for

use later for a transient simulation.

a. File / Save a Copy as...

b. File name:

cant_beam_transient.db.

c. Save.

d. File / Quit.

a

d

Step 16. Create a New Database for 1D Element Model

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Create a new database for 1D

element model.

a. File / New.

b. Entercant_beam_1D as thefile name.

c. Click OK.

d. Choose Default Tolerance.

e. Select MSC.Nastran as the

Analysis Code.

f. Select Structural as the

Analysis Type.

g. Click OK.

a

b

e

f

d

cg

Step 17. Create Curve Geometry

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a. Geometry: Create / Curve /XYZ.

b. Select on Vector

Coordinates List and enter

< 5 0 0 >.

c. Apply.

d. Change view to Iso 1 View.

a

b

c

d

Step 18. Create 1D Element Mesh

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a. Elements: Create / Mesh /Curve.

b. Topology: Bar2.

c. Click on Curve Listand select

the curve.

d. Enter0.5 forGlobal Edge

Length.e. Apply.

a

b

c

d

e

c

Step 19. Create a Rigid Link at Force End

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Create a rigid link at the end of the

beam where the load will be

applied. That will offset the load so

it will be applied equivalent to that

for the prior 2D model.

a. Turn on the node labels.

b. Elements: Create / Node /

Edit.

c. Select on Node Location List

and enter[5, 0.5, 0.75].

d. Apply.

This will give Node 12,

where the load will be

applied.

b

d

a

c

Step 19. Create a Rigid Link (Cont.)

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a. Elements: Create / MPC /RBE2.

b. Select Define Terms.

c. Select Create Dependent.

d. Turn offAuto Execute.

e. Click on Node Listand

select Node 11 from thefigure.

f. DOFs: specify UX, UY, UZ,

RX, RY, RZ.

g. Apply.

a

bc

de

f

g

Step 19. Create a Rigid Link (Cont.)

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a. Notice that Create

Independent is active now.

b. Click on Node Listand

select Node 12 from the

figure.

c. Apply.

d. Cancel.

e. Apply.

Notice that a magenta colored line was

drawn from Node 11 to Node 12. This

represents the rigid RBE2 MPC.

a

b

c d

Step 20. Create a Concentrated Force

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Apply a force at the free end of the

MPC.

a. Loads / BCs: Create / Force

/ Nodal.

b. Select on New Set Name

and enterforce-1D.

c. Input Data.

d. Enter forForce.

e. OK.

f. Select Application Region.

g. Geometry Filter: FEM.

h. Click on Select Nodes and

select Node 12.i. Add.

j. OK.

k. Apply.

a

b

c

d

e

f

g

h

i

j

Step 21. Apply Constraints at Other End

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a. Loads / BCs: Create /

Displacements / Nodal.b. Select on New Set Name:

and enterfix_it.

c. Select Input Data.

d. Enter for

Translations

and Rotations .e. OK.

f. Click on Select Application

Region.

g. Select FEM forGeometry

Filter.

h. Click on Select Nodes andselect Node 1.

i. Add.

j. OK.

k. Apply

a

b

c

d

ef

g

hi

j

Step 22. Create Material Properties

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a. Materials: Create / Isotropic /

Manual Input.

b. Select on Material Name

and enteraluminum2.

c. Select Input Properties.

d. Enter:Elastic Modulus: 10e6.

Poisson Ratio: 0.3.

e. OK.

f. Apply.

a

b

c

d

ef

Step 23. Create Element Properties for the 1D Beam Topology

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a. Properties: Create / 1D /

Beam.

b. Option(s): General Section /

Standard Formulation.

c. Select Property Set Name and

enteralum_1D.

d. Select Input Properties.

e. From the Material Property

Sets, select aluminum2 for

Material Name.

f. Select Create Sections Beam

Library.

a

b

c

d

e

f

Step 23. Create Element Properties for the 1D Beam Topology (Cont.)

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a. In New Section Name:

cross_sect.

b. Select the rectangular cross-

section button and enter:W= 1.5, H= 1.0, t1 = 0.1,

t2= 0.1.

c. Calculate / Display.

d. OK.

e. Enter< 0 1 0 > in Bar

Orientation.f. OK.

g. Click on Select Members and

select Curve 1.

h. Add.

i. Click Apply.

j. Display the cross-section toscale under Display /

Load/BC /Elem. Props

using Beam Display / 3D:

FullSpan + Offsets.

k. Click Apply.

a

b

c

Notice that the name cross_sect now

appears in the Input Properties form

underSection Name. Area, Inertia

and Torsional Constant have values.

The values are ghosted out so that to

change them it is necessary to use the

Create Section button.

d

e

f

b

Step 23. Create Element Properties for the 1D Beam Topology (Cont.)

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a. This is the entire 1D model.

A representation of the

cross-section is shown,

even though the geometry is

only 1D.

Step 24. Check Assignment of Loads and BCs to Load Case

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a. Load Cases: Modify.

b. Select Default in Select

Load Case to Modify.

c. Check that all Loads and

BCs are selected.

d. Cancel.

a

b

c

d

Step 25. Run Analysis for 1D Beam

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a. Analysis: Analyze / Entire

Model / Full Run.

b. Select Solution Type.

c. Choose LINEAR STATIC for

Solution Type.

d. OK.

e. Apply.

b

c

d

a

Step 26. Read Results Under Analysis

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Attach the .xdb file to read the

results.

a. Analysis: Access Results /

Attach XDB / Result Entities.

b. Click on Select Result File.

c. Select and attach the

cant_beam_1D.xdb.

d. OK.

e. Apply.

c

d

a

b

e

Step 27. View Results

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Create a Deformation plot .

a. Results: Create /

Deformation.

b. Select Results icon.

c. Select A1:Static Subcase


d. Select Displacements,Translational underSelect

Deformation Result.

e. Show As: Resultant.

f. Apply.

a

b

c

d

e

Step 27. View Results (Cont.)

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a. Results: Create / Fringe.

b. Select A1:Static Subcase

underSelect Result Case(s).

c. Select Stress Tensor,

Bending underSelect

Fringe Result.

d. Quantity: X Component.

e. Apply.

a

b

c

d

Step 28. Compare 2D and 1D Model Results

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a. Compare Results.

b. This ends this exercise.

12 Cant Beam 1D 2D PAT301

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