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WORKSHOP 6 BRIDGE TRUSS. NAS120, Workshop 6, November 2003. WS6- 1. Problem Description The preliminary design of a steel truss bridge has just been finished. You are asked to evaluate the structural integrity of this bridge.
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WORKSHOP 6 BRIDGE TRUSS NAS120, Workshop 6, November 2003 WS6-1
Problem Description • The preliminary design of a steel truss bridge has just been finished. You are asked to evaluate the structural integrity of this bridge. • The truss is made from steel with E = 30 x 106 psi and n = 0.3 • The truss members are I-beams with H = 18 in, W = 12 in, Tf = 0.5 in, and Tw = 0.5 in • The bridge needs to be able to support a 23,000 lb truck traveling over it. The truck weight is supported by two planar trusses. Model one planar truss with half the truck weight applied to it. • One end of the truss is pinned while the other end is free to slide horizontally.
y x 11,500 lb (Subcase 2) 11,500 lb (Subcase 1)
Workshop Objectives • Learn to mesh line geometry to generate CBAR elements • Become familiar with setting up the CBAR orientation vector and section properties • Learn to set up multiple load cases • Learn to view the different CBAR stress components in Patran
Suggested Exercise Steps • Create a new database. • Create a geometry model of the truss using the table on the previous page. • Use Mesh Seeds to define the mesh density. • Create a finite element mesh. • Define material properties. • Create Physical Properties using the beam library. • Create boundary conditions. • Create loads. • Set up load cases. • Run the finite element analysis using MSC.Nastran. • Plot displacements and stresses.
Step 1. Create New Database a a • Create a new database called bridge_truss.db • File / New. • Enter bridge_truss as the file name. • Click OK. • Choose Default Tolerance. • Select MSC.Nastran as the Analysis Code. • Select Structural as the Analysis Type. • Click OK. d e f b c g
Step 2. Create Geometry d • Create the first point • Geometry: Create / Point / XYZ. • Enter [0 0 0] for the Point Coordinate List. • Click Apply. • Turn Point size on. a b c
Step 2. Create Geometry Finish creating all 12 points.
Step 2. Create Geometry Create curves to represent the truss members • Geometry: Create / Curve / Point. • Screen pick the bottom left point as shown. • Screen pick the top left point. A curve is automatically created because Auto Execute is checked. a c b
Step 2. Create Geometry Finish creating all 21 curves.
Step 3. Create Mesh Seeds Create a uniform mesh seed • Elements: Create / Mesh Seed / Uniform. • Enter 6 for the Number of Elements. • Click in the Curve List box. • Rectangular pick the bottom of the truss. a d b c
Step 3. Create Mesh Seeds Create another mesh seed • Elements: Create / Mesh Seed / Uniform. • Enter 2 for the Number of Elements. • Click in the Curve List box. • Rectangular pick the rest of the truss, as shown. a d b c
Step 4. Create Mesh Create a finite element mesh • Elements: Create / Mesh / Curve. • Set Topology to Bar2. • Click in the Curve List box. • Rectangular pick all of the curves as shown. • Click Apply. a b d c e
Step 4. Create Mesh Equivalence the model • Elements: Equivalence / All / Tolerance Cube. • Click Apply. a b
Step 5. Create Material Properties Create an isotropic material • Materials: Create / Isotropic / Manual Input. • Enter steel as the Material Name. • Click Input Properties. • Enter 30e6 for the elastic modulus and 0.3 for the Poisson Ratio. • Click OK. • Click Apply. a d b c f e
Step 6. Create Physical Properties Create element properties • Properties: Create / 1D / Beam. • Enter i_beam as the Property Set Name. • Click Input Properties. • Click on the Select Material Icon. • Select steel as the material. • Click on the Beam Library button. a d b c f e
Step 6. Create Physical Properties Define the beam section • Enter i_section for the New Section Name. • Enterthe appropriate values to define the beam’s dimensions. • Click Calculate/Display to view the beam section and its section properties. • After verifying that the section is correct, Click OK. b a c d
Step 6. Create Physical Properties Define the bar orientation • Enter <1 2 0> for the Bar Orientation. • Click OK. Note: Any vector in the XY plane that is not parallel to any truss member would work as well. a b
Step 6. Create Physical Properties Select application region • Click in the Select Members box. • Rectangular pick the entire truss as shown. • Click Add. • Click Apply. b a c d
Step 6. Create Physical Properties c e a Verify the beam section • Display- Load/BC/Element Props. • Set Beam Display to 3D:Full-Span. • Shade the model. • Rotate the model and zoom in to verify that the I-beams are oriented correctly. • Return to the front view. • Set Beam Display back to 1D:Line. d f b
Step 7. Create Boundary Conditions Create a boundary condition • Loads/BCs: Create / Displacement / Nodal. • Enter left_side as the New Set Name. • Click Input Data. • Enter <0 0 0> for Translations and <0,0, > for Rotations. • Click OK. a d b c e
Step 7. Create Boundary Conditions a Apply the boundary condition • Reset graphics. • Click Select Application Region. • Select the bottom left point as the application region. • Click Add. • Click OK. • Click Apply. d c b e f
Step 7. Create Boundary Conditions Create another boundary condition • Loads/BCs: Create / Displacement / Nodal. • Enter right_side as the New Set Name. • Click Input Data. • Enter < ,0,0> for Translations and <0,0, > for Rotations. • Click OK. a d b c e
Step 7. Create Boundary Conditions Apply the boundary condition • Click Select Application Region. • Select the bottom right point as the application region. • Click Add. • Click OK. • Click Apply. c b d a e
Step 8. Create Loads Create the mid span load • Loads/BCs: Create / Force / Nodal. • Enter mid_span_load as the New Set Name. • Click Input Data. • Enter <0 –11500 0> for the Force. • Click OK. a d b c e
Step 8. Create Loads Apply the mid span load • Click Select Application Region. • Set the geometry filter to FEM. • For the application region select the node in the middle of the span to the right of the center, as shown. • Click Add. • Click OK. • Click Apply. b d c a e f
Step 8. Create Loads Create the truss joint load • Loads/BCs: Create / Force / Nodal. • Enter truss_joint_load as the New Set Name. • Click Input Data. • Enter <0 –11500 0> for the Force. • Click OK. a d b c e
Step 8. Create Loads Apply the load • Click Select Application Region. • Set the geometry filter to Geometry. • For the application region select the point at the center of the bridge, as shown. • Click Add. • Click OK. • Click Apply. b d c a e f
Step 9. Set Up Load Cases Create a load case • Load Cases: Create. • Enter mid_span as the Load Case Name. • Click Assign/Prioritize Loads/BCs. • Click on Displ_left_side, Displ_right_side, and Force_mid_span_load to add them to the Load Case. • Click OK. • Click Apply. a d b c f e
Step 9. Set Up Load Cases Create another load case • Load Cases: Create. • Enter truss_joint as the Load Case Name. • Click Assign/Prioritize Loads/BCs. • Click on Displ_left_side, Displ_right_side, and Force_truss_joint_load to add them to the Load Case. • Click OK. • Click Apply. a d b c f e
Step 10. Run Linear Static Analysis Choose the analysis type • Analysis: Analyze / Entire Model / Full Run. • Click Solution Type. • Choose Linear Static. • Click OK. a c b d
Step 10. Run Linear Static Analysis Analyze the model • Analysis: Analyze / Entire Model / Full Run. • Click Subcase Select. • Click Unselect All. • Click on mid_span and truss_joint to add them to the Subcases Selected list. • Click OK. • Click Apply. a d c b f e
Step 11. Plot Displacements and Stresses Attach the results file • Analysis: Access Results / Attach XDB / Result Entities. • Click Select Results File. • Choose the results file bridge_truss.xdb. • Click OK. • Click Apply. a c d b e
Step 11. Plot Displacements and Stresses Create a deformation plot for the mid span result case • Results: Create / Deformation. • Select the Mid Span Result Case. • Select Displacements, Translational as the Deformation Result. • Check Animate. • Click Apply. • Record the maximum deformation. • Click Stop Animation and Refresh Results Tools. Max Deformation = ____________ a b c d e
Step 11. Plot Displacements and Stresses Create a Fringe Plot of X Component Axial Stress • Results: Create / Fringe. • Select the Mid Span Result Case. • Select Bar Stresses, Axial as the Fringe Result. • Select X Component as the Fringe Result Quantity. • Click on the Plot Options icon. • Set the Averaging Definition Domain to None. • Click Apply. a e b c f d g
Step 11. Plot Displacements and Stresses View the results • Record the maximum and minimum X component axial stress. Max X Axial Stress = _________________ Min X Axial Stress = __________________
Step 11. Plot Displacements and Stresses Create Fringe Plots of maximum and minimum combined bar stresses • Results: Create / Fringe. • Select the Mid Span Result Case. • Select Bar Stresses, Maximum Combined as the Fringe Result. • Click Apply. • Record the Maximum combined stress. Max Stress= _______ • Repeat the procedure with Bar Stresses, Minimum Combined as theFringe Result and record the Minimum Stress. Min Stress = _______ a b c d
Step 11. Plot Displacements and Stresses e Create a deformation plot for the truss joint result case • Results: Create / Deformation. • Select the Truss Joint Result Case. • Select Displacements, Translational as the Deformation Result. • Check Animate. • Reset Graphics. • Click Apply. • Record the maximum deformation. • Click Stop Animation and Refresh Results Tools. Max Deformation = ____________ a b c d f
Step 11. Plot Displacements and Stresses Create a Fringe Plot of X Component Axial Stress • Results: Create / Fringe. • Select the Truss Joint Result Case. • Select Bar Stresses, Axial as the Fringe Result. • Select X Component as the Fringe Result Quantity. • Click on the Plot Options icon. • Set the Averaging Definition Domain to None. • Click Apply. a e b c f d g
Step 11. Plot Displacements and Stresses View the results • Record the maximum and minimum X component axial stress. Max X Axial Stress = _________________ Min X Axial Stress = __________________
Step 11. Plot Displacements and Stresses Create Fringe Plots of maximum and minimum combined bar stresses • Results: Create / Fringe. • Select the Truss Joint Result Case. • Select Bar Stresses, Maximum Combined as the Fringe Result. • Click Apply. • Record the Maximum combined stress. Max Stress= _______ • Repeat the procedure with Bar Stresses, Minimum Combined as theFringe Result and record the Minimum Stress. Min Stress = _______ a b c d