Abaqus Beam Tutorial CE529a Fall 2010

TA: Fabian Rojas 1

University of Southern California Department of Civil & Environmental Engineering

Fall 2010

Lab - CE 529a: Finite Element Analysis Abaqus_Lab # 2

Solve the structure (beam elements) shown in the figure using Abaqus :

Find: Reaction Forces Element Forces and Moments Deformation

Material Properties ( US units ) Esteel = 29000000 psi

= 0.27

60 in 60 in30 in 30 in

60 in

Pressure = 2 [lbs/in]Point Load = 10 [lbs]

4 in

4 in

0.5 in

4 in

Pro!le Dimension:

Hinge

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Analysis Steps

1. Start Abaqus New model database

2. Double click on Parts node in the model tree

3. In Create Part Select:

- 2D Planar - Deformable - Wire - Approximate Size : 500

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4. Draw the geometry of the Truss (not discussed here)

5. Create another part (Arc 2) and draw the geometry of the Truss (not discussed here)

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6. Double click on Materials node in the model tree

- Name the material and write a description - Select: Mechanical Elasticity Elastic - -Define Youngs Modulus and Poissons Ratio - Click OK

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7. Double click on Profiles node in the model tree

- Name the Profile - Select I profile - Click Continue

- Enter the values for the profile - Click OK

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7. Double click on Sections node in the model tree

- -Name the Section - Select Category Beam - Select Type Beam - Click Continue

- -Select Material Steel - Profile name I-Profile - Click OK

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8. Expand the Parts node in the model tree and expand the part (Arc 1) created, and double click on Section Assigment

- Select the elements that have the same properties - Click Done in the prompt area - Select Section I-Beam - Click OK - Click Done in the prompt area

9. Select Assign Beam Orientation icon

- Select the elements and Click Done in the prompt area

- Click Enter

- Select Ok in the prompt area and then Click Done in the prompt area

10. Repeat steps 8 and 9 with the part Arc2

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11. Expand the Assembly node in the model tree and then double click on Instances

- Select Parts : Arc1 and Arc2 - Select Independent - Click OK

12. Select Mesh in Module combo box

- -In the toolbox area click on the Seed Edge: By Number icon (hold down icon to bring up the other options)

- Select all the elements and Click Done in the prompt area

- -Define the number of elements along the edges as 7 or any number that you want - Click enter in the prompt region, then Done in the response to the next prompt

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13. In the toolbox area click on the Assign Element Type icon

-Select all the elements and click Done in the prompt area

- Element Library Standard - Family -> Bean - Geometric Order Linear - Click OK - Click Done in the prompt area

Note: For more accurate result use: Beam Type Cubic Formulation or Geometric Order Quadratic (Repeat Using this element)

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14. In the toolbox area click on the Mesh Part Instance icon

- Select all the elements - Click 2 times Done in the prompt area

15. In the menu bar select View Assembly Display Options

- Select Mesh tab - Check Show node label - Check Show element labels - Click OK - Now You can see the nodes labels

Note: In the Tab General you can select Render beam Profile and this show a Render of the sections.

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16. Double click on the Steps node in the model tree

- -Name Step - -Select General -> Static, General - -Click Continue

- Give a Step Description - Click OK

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17. Expand the Field Output Requests node in the model tree and then double click on the F-Output-1

- Deselect Strains - Deselect Contact - Expand Forces/Reaction - Select SF, Section Forces and moments - Click OK

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18. Double click on the BCs node in the model tree

- Name the BC - Select Step Apply_Loads - Select Category Mechanical - Select Types for Selected Step Displacement/ Rot - Click Continue - Select Node for the Pinned support and press Done in the prompt area

- Check the U1 and U2 - Set them to 0

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19. In the toolbox area click on the Create Boundary Condition icon

- Name the BC - Select Step Apply_Loads - Select Category Mechanical - Select Types for Selected Step Displacement/ Rot - Click Continue - Select Node for the Pinned support and press Done in the prompt area

- Check the U1 , U2 and R3 - Set them to 0

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20. In the toolbox area click on the Create Load icon

- Name the Load - Select Step Apply_Loads - Select Category Mechanical - Select Mechanical Concentrated force - Click Continue - Select Node for the Load and press Done in the prompt area

- Specify CF1 = 0 - Specify CF2 = -10 - Click OK

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21. In the toolbox area click on the Create Load icon

- Name the Load - Select Step Apply_Loads - Select Category Mechanical - Select Mechanical Line load - Click Continue - Select elements for the Load (only horizontal elements) - Press Done in the prompt area

- Specify Component 1 = 0 - Specify Component 2 = -2 - Click OK

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22. In the toolbox area click on the Create Load icon

- Name the Load - Select Step Apply_Loads - Select Category Mechanical - Select Mechanical Pressure - Click Continue - Select Elements for the Load (Arc Elements) - Press Magenta in the prompt area

- Specify Magnitude : 2 - Click OK

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23. Select Interaction in Module combo box

- In the menu bar select Connector Geometry Create Wire Feature

- Select Disjoint wires - Select Add - Click 2 times the node where is the hinge - Press Done in the prompt area

- You can Swap the nodes - Click OK

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24. In the toolbox area click on the Create Connector Section icon

- Name the connector Section - Select Connection Category Basic - Select Connection Type

Translation Type Join Rotational Types None

- Click Continue

- Click OK

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25. In the toolbox area click on the Create Connector Assignment icon

- Click the node where was created the wire feature ( hinge node) - Press Done in the prompt area

- Select Section Hinge Connector - Click OK

26. Double click on the Jobs node in the model tree

- Name Job - Click Continue

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- Give a Description - Click OK

27. Right click on the Jobs node in the model tree, and select Submit

- Check that there are no errors or warnings If there errors, investigate the cause(s) and fixe them If there warnings, investigate the cause(s)

28. Right click on the Job - Arc (Completed) and select Results

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29. In the toolbox area click on the Plot Contours on Deformed Shape icon and hold down icon to bring up the other options, and select Plot Contours on Undeformed Shape. Select Contour Options icon

- Check Show tick marks for line elements - Click OK

30. In the menu bar : Result Field Output

- You can change the output that you want to analysis ( Example : SM SM1 )

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31. To create a text file (Report) with the results: In the menu bar click on Report -> Field Output

- Select in Setup: name and path of file for output - Select in Variable - Select Position Unique Nodal - Check RF RF1, RF2, RM3 - Check U -> U1, U2 - Click Apply - Deselect All the output variable - Select Position -> Integration Point - Check SF - Check SM1 - Click Ok

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Example HW report:

Deformation Plot

Moment Diagram

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Shear Diagram

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********************************************************************************

Field Output Report, written Wed Sep 23 01:30:02 2009 Source 1 --------- ODB: C:/SIMULIA/Abaqus/Commands/Job-Arc.odb Step: Apply_Loads Frame: Increment 1: Step Time = 1.000 Loc 1 : Nodal values from source 1 Output sorted by column "Node Label". Field Output reported at nodes for part: ARC1-1 Node RF.Magnitude RF.RF1 RF.RF2 RM3 U.Magnitude U.U1 U.U2

Label @Loc 1 @Loc 1 @Loc 1 @Loc 1 @Loc 1 @Loc 1 @Loc 1

---------------------------------------------------------------------------------------------------------------------------------

1 381.043 79.826 372.587 -434.35 0. -86.3803E-36 -372.587E-36 2 0. 0. 0. 0. 43.8612E-06 -40.9421E-06 -15.7338E-06 3 0. 0. 0. 0. 66.3723E-06 -57.8463E-06 -32.5436E-06 4 0. 0. 0. 0. 86.1666E-06 24.4632E-06 -82.621E-06 5 0. 0. 0. 0. 336.661E-06 254.449E-06 -220.445E-06 6 0. 0. 0. 0. 826.734E-06 649.486E-06 -511.525E-06 7 0. 0. 0. 0. 1.57166E-03 1.19519E-03 -1.02061E-03 8 0. 0. 0. 0. 2.58038E-03 1.84845E-03 -1.80045E-03 9 0. 0. 0. 0. 3.84413E-03 2.54372E-03 -2.88216E-03 10 0. 0. 0. 0. 5.33571E-03 3.20217E-03 -4.268E-03 11 0. 0. 0. 0. 7.01011E-03 3.7426E-03 -5.92744E-03 12 0. 0. 0. 0. 8.80588E-03 4.09334E-03 -7.79667E-03 13 0. 0. 0. 0. 10.6471E-03 4.20401E-03 -9.78198E-03 14 0. 0. 0. 0. 19.8665E-06 -17.8949E-06 -8.62853E-06 15 0. 0. 0. 0. 61.9198E-06 -57.6199E-06 -22.6718E-06 16 0. 0. 0. 0. 60.1684E-06 -32.7929E-06 -50.4466E-06 17 0. 0. 0. 0. 181.298E-06 119.179E-06 -136.621E-06 18 0. 0. 0. 0. 551.027E-06 431.53E-06 -342.655E-06 19 0. 0. 0. 0. 1.16643E-03 905.608E-06 -735.141E-06 20 0. 0. 0. 0. 2.0432E-03 1.51206E-03 -1.37416E-03 21 0. 0. 0. 0. 3.18168E-03 2.19559E-03 -2.30271E-03 22 0. 0. 0. 0. 4.56388E-03 2.88273E-03 -3.5382E-03 23 0. 0. 0. 0. 6.15357E-03 3.49201E-03 -5.06678E-03 24 0. 0. 0. 0. 7.8973E-03 3.94549E-03 -6.84108E-03 25 0. 0. 0. 0. 9.72609E-03 4.18074E-03 -8.7817E-03 Minimum 0. 0. 0. -434.35 0. -57.8463E-06 -9.78198E-03 At Node 25 25 25 1 1 3 13 Maximum 381.043 79.826 372.587 0. 10.6471E-03 4.20401E-03 -372.587E-36 At Node 1 1 1 25 13 13 1

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Total 381.043 79.8260 372.587 -434.350 76.7612E-03 41.2157E-03 -63.5410E-03 Field Output reported at nodes for part: ARC2-1 Node RF.Magnitude RF.RF1 RF.RF2 RM3 U.Magnitude U.U1 U.U2 Label @Loc 1 @Loc 1 @Loc 1 @Loc 1 @Loc 1 @Loc 1 @Loc 1 --------------------------------------------------------------------------------------------------------------------------------- 1 0. 0. 0. 0. 10.6471E-03 4.20401E-03 -9.78198E-03 2 0. 0. 0. 0. 8.36812E-03 4.13257E-03 -7.27649E-03 3 0. 0. 0. 0. 4.97666E-03 4.06113E-03 -2.87653E-03 4 385.763 -79.8263 377.414 0. 0. 86.3806E-36 -377.413E-36 5 0. 0. 0. 0. 10.284E-03 4.18972E-03 -9.3918E-03 6 0. 0. 0. 0. 9.89222E-03 4.17543E-03 -8.96782E-03 7 0. 0. 0. 0. 9.45043E-03 4.16114E-03 -8.48502E-03 8 0. 0. 0. 0. 8.94446E-03 4.14686E-03 -7.92509E-03 9 0. 0. 0. 0. 7.72285E-03 4.11828E-03 -6.53316E-03 10 0. 0. 0. 0. 7.02687E-03 4.10399E-03 -5.70387E-03 11 0. 0. 0. 0. 6.3082E-03 4.0897E-03 -4.80288E-03 12 0. 0. 0. 0. 5.6072E-03 4.07542E-03 -3.85119E-03 13 0. 0. 0. 0. 4.43303E-03 4.12318E-03 -1.62823E-03 14 0. 0. 0. 0. 4.35394E-03 4.32373E-03 -512.049E-06 15 0. 0. 0. 0. 4.62178E-03 4.60554E-03 387.064E-06 16 0. 0. 0. 0. 4.9946E-03 4.89014E-03 1.01613E-03 17 0. 0. 0. 0. 5.26809E-03 5.09012E-03 1.35777E-03 18 0. 0. 0. 0. 5.31754E-03 5.1217E-03 1.42986E-03 19 0. 0. 0. 0. 5.08073E-03 4.91647E-03 1.28147E-03 20 0. 0. 0. 0. 4.53944E-03 4.4312E-03 985.399E-06 21 0. 0. 0. 0. 3.70839E-03 3.65484E-03 627.975E-06 22 0. 0. 0. 0. 2.62897E-03 2.61212E-03 297.169E-06 23 0. 0. 0. 0. 1.3651E-03 1.3633E-03 69.9394E-06 24 0. 0. 0. 0. 10.4675E-03 4.19686E-03 -9.58927E-03 25 0. 0. 0. 0. 10.0932E-03 4.18258E-03 -9.18574E-03 26 0. 0. 0. 0. 9.67863E-03 4.16829E-03 -8.73506E-03 27 0. 0. 0. 0. 9.20603E-03 4.154E-03 -8.21555E-03 28 0. 0. 0. 0. 8.66513E-03 4.13971E-03 -7.61231E-03 29 0. 0. 0. 0. 8.05312E-03 4.12542E-03 -6.91618E-03 30 0. 0. 0. 0. 7.37971E-03 4.11114E-03 -6.12851E-03 31 0. 0. 0. 0. 6.66814E-03 4.09685E-03 -5.26117E-03 32 0. 0. 0. 0. 5.95244E-03 4.08256E-03 -4.33178E-03 33 0. 0. 0. 0. 5.27941E-03 4.06827E-03 -3.36471E-03 34 0. 0. 0. 0. 4.64887E-03 4.07237E-03 -2.24227E-03 35 0. 0. 0. 0. 4.33748E-03 4.20905E-03 -1.04766E-03 36 0. 0. 0. 0. 4.4591E-03 4.45899E-03 -31.2616E-06 37 0. 0. 0. 0. 4.80971E-03 4.75287E-03 737.269E-06 38 0. 0. 0. 0. 5.15326E-03 5.00615E-03 1.22254E-03 39 0. 0. 0. 0. 5.32589E-03 5.13169E-03 1.42507E-03 40 0. 0. 0. 0. 5.2369E-03 5.05205E-03 1.3791E-03 41 0. 0. 0. 0. 4.84788E-03 4.71032E-03 1.14666E-03 42 0. 0. 0. 0. 4.15809E-03 4.07869E-03 808.72E-06 43 0. 0. 0. 0. 3.19619E-03 3.16379E-03 453.997E-06 44 0. 0. 0. 0. 2.01528E-03 2.00838E-03 166.538E-06 45 0. 0. 0. 0. 689.299E-06 689.174E-06 13.133E-06 Minimum 0. -79.8263 0. 0. 0. 86.3806E-36 -9.78198E-03

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At Node 45 4 45 45 4 4 1 Maximum 385.763 0. 377.414 0. 10.6471E-03 5.13169E-03 1.42986E-03 At Node 4 45 4 45 1 39 18 Total 385.763 -79.8263 377.414 0. 265.861E-03 179.250E-03 -135.592E-03 ******************************************************************************** Field Output Report, written Wed Sep 23 01:30:20 2009 Source 1 --------- ODB: C:/SIMULIA/Abaqus/Commands/Job-Arc.odb Step: Apply_Loads Frame: Increment 1: Step Time = 1.000 Loc 1 : Integration point values from source 1 Output sorted by column "Element Label". Field Output reported at integration points for part: ARC1-1 Element Int SF.SF1 SF.SF2 SM.SM1 Label Pt @Loc 1 @Loc 1 @Loc 1 --------------------------------------------------------------------------------- 1 1 -374.767 77.7916 -303.452 1 2 -380.426 71.9171 35.975 2 1 -384.281 67.3664 267.359 2 2 -389.126 60.8044 557.954 3 1 -392.352 55.79 751.646 3 2 -396.3 48.6499 988.437 4 1 -398.844 43.2581 1.14112E+03 4 2 -401.827 35.6647 1.32006E+03 5 1 -403.644 29.9861 1.42912E+03 5 2 -405.612 22.0685 1.54714E+03 6 1 -406.671 16.2015 1.61071E+03 6 2 -407.589 8.09409 1.6658E+03 7 1 -407.872 2.13969 1.6828E+03 7 2 -407.726 -6.01825 1.67401E+03 8 1 -407.228 -11.9591 1.64414E+03 8 2 -406.019 -20.0277 1.57162E+03 9 1 -404.749 -25.8526 1.4954E+03 9 2 -402.499 -33.6948 1.36039E+03 10 1 -400.478 -39.3042 1.23912E+03 10 2 -397.224 -46.7852 1.04394E+03 11 1 -394.488 -52.0828 879.692 11 2 -390.286 -59.0758 627.668 12 1 -386.881 -63.9701 423.259 12 2 -381.803 -70.355 118.71 Minimum -407.872 -70.355 -303.452 At Element 7 12 1 Int Pt 1 2 1

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Maximum -374.767 77.7916 1.6828E+03 At Element 1 1 7 Int Pt 1 1 1 Total -9.52869E+03 110.606 24.7726E+03 Field Output reported at integration points for part: ARC2-1 Element Int SF.SF1 SF.SF2 SM.SM1 Label Pt @Loc 1 @Loc 1 @Loc 1 --------------------------------------------------------------------------------- 1 1 -379.826 -60.051 -77.7493 1 2 -379.826 -53.1228 -273.772 2 1 -379.826 -48.051 -402.055 2 2 -379.826 -41.1228 -556.509 3 1 -379.826 -36.051 -654.361 3 2 -379.826 -29.1228 -767.245 4 1 -379.826 -24.051 -834.667 4 2 -379.826 -17.1228 -905.982 5 1 -379.826 -12.051 -942.973 5 2 -379.826 -5.12277 -972.718 6 1 -379.826 9.94903 -966.599 6 2 -379.826 16.8772 -920.134 7 1 -379.826 21.949 -870.905 7 2 -379.826 28.8772 -782.871 8 1 -379.826 33.949 -703.21 8 2 -379.826 40.8772 -573.608 9 1 -379.826 45.949 -463.516 9 2 -379.826 52.8772 -292.344 10 1 -379.826 57.949 -151.822 10 2 -379.826 64.8772 60.9193 11 1 -381.937 75.1794 271.513 11 2 -387.379 68.7707 597.884 12 1 -391.048 63.8415 818.184 12 2 -395.608 56.7774 1.09166E+03 13 1 -398.602 51.4106 1.27138E+03 13 2 -402.201 43.8124 1.48728E+03 14 1 -404.468 38.1008 1.62336E+03 14 2 -407.046 30.0973 1.77798E+03 15 1 -408.547 24.1389 1.86808E+03 15 2 -410.059 15.8677 1.95878E+03 16 1 -410.769 9.7643 2.00136E+03 16 2 -411.19 1.36593 2.0266E+03 17 1 -411.095 -4.77728 2.02093E+03 17 2 -410.417 -13.1588 1.98027E+03 18 1 -409.521 -19.2377 1.92645E+03 18 2 -407.755 -27.4585 1.82058E+03 19 1 -406.072 -33.3683 1.71953E+03 19 2 -403.25 -41.2887 1.55026E+03 20 1 -400.809 -46.9272 1.40371E+03 20 2 -396.978 -54.4126 1.17395E+03 21 1 -393.82 -59.6849 984.407 21 2 -389.047 -66.6046 698.078 22 1 -385.227 -71.42 468.785

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22 2 -379.592 -77.6583 130.788 Minimum -411.19 -77.6583 -972.718 At Element 16 22 5 Int Pt 2 2 2 Maximum -379.592 75.1794 2.0266E+03 At Element 22 11 16 Int Pt 2 1 2 Total -17.1990E+03 11.3927 20.6197E+03

Note:

Selecting beam elements:

First-order, shear-deformable beam elements (B21, B31) should be used in any simulation that includes contact.

If the transverse shear deformation is important, use Timoshenko (quadratic) beam elements (B22, B32).

If the structure is either very rigid or very flexible, the hybrid beam elements (B21H, B32H, etc.) available in Abaqus/Standard should be used in geometrically nonlinear simulations.

The Euler-Bernoulli (cubic) beams (B23, B33) available in Abaqus/Standard are very accurate for simulations that include distributed loading, such as dynamic vibration analyses.

Structures with open, thin-walled cross-sections should be modeled with the elements that use open-section warping theory (B31OS, B32OS) available in Abaqus/Standard.