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230                   Finite Element Modeling and Simulation with ANSYS Workbench





                                                                  pA/3    pA/12
                                p






                         Surface area = A            Nodal forces for 20-node
                                                        brick element

            FIGURE 7.7
            Equivalent nodal forces on a 20-node brick element for a pressure load p.

            7.4.4  Treatment of Distributed Loads
            Distributed loads need to be converted into nodal forces using the equivalent energy con-
            cept as discussed in earlier chapters. Figure 7.7 shows the result of a pressure load con-
            verted into nodal forces for a 20-node hexahedron element. Note the direction of the forces
            at the four corner nodes, which is not intuitive at all.





            7.5  Case Studies with ANSYS Workbench

            Problem Description: A base stand assembly includes a base, a holder and a pin, as shown
            in the following figure. The stand assembly is made of structural steel. Assume a no-sep-
            aration condition for all contact regions. Determine the deformation and von Mises stress
            distributions of the assembly under the given load and boundary conditions.

                                    Holder  Material: Structural steel (E= 200 GPa,   = 0.3)
                                            Boundary conditions:
                                     Pin    The bottom faces of the leg base are fixed.
                                            A downward force of 1 kN is applied to the holder’s top face.
                                            Geometry construction:
                                             e bottom of the hub base is 35 mm above the ground level.
                             Base
                                             e holder is 36 mm tall, 18 mm of which is in contact with
                                            the hub base.

                                                                     R3.000
                                 R50.000
                                                     R6.000
                             8.000
                            R40.000                                        60.000


                                                    R10.000
                   Sketch of the leg base (extrude  Sketch of the hub base (extrude  Sketch of the pin (extrude
                      5 mm on both sides)    35 mm on one side)     15 mm on both sides)
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