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Three-Dimensional Elasticity                                                259



               7.8  The following figure shows an L-shaped bracket made of structural steel
                   with Young’s modulus E = 200 GPa and Poisson’s ratio ν = 0.3. The 4 cm thick
                   L-shape with a cross-section profile shown in the figure is rigidly connected to
                   a rectangular base of size 3 cm × 8 cm × 1 cm. Suppose that the bracket is fixed
                   on the right end at the base. A uniform pressure of 100 N/cm  is applied on the
                                                                         2
                   protruding surface of the L-shape as shown below. Compute the deformation
                   and stresses in the bracket using the FEA.

                                                          All dimensions are in
                                                             centimeters.




                                          1.000



                                         R1.000

                                                         1.000
                               3.000
                                                  8.000


               7.9  The  following  two-bar assembly  consists  of  four  components  made of  struc-
                   tural steel with Young’s modulus E = 200 GPa, Poisson’s ratio ν = 0.3, and den-
                   sity ρ = 7850 kg/m . As shown in the figure below, the two bars are identical in
                                   3
                   size. Each bar has a diameter of 2 cm and a length of 16 cm. The two identical
                   end blocks each has a thickness of 2 cm and a fillet radius of 1 cm at the round
                   corners. The distance of the gap in between the two blocks is 8 cm. Suppose that
                   the two blocks are fixed on the bottom. The bars are pulled by a pressure load of
                   100 N/cm  in opposite directions as shown below. Compute the stresses in the
                            2
                   assembly using the FEA.


                                               All dimensions are in centimeter
                                               All dimensions are in centimeterss.
                                               Use bonded contact for all contact regions.
                                               Use bonded contact for all contact region s.
                                         5.000
                                         5.000
                                     2.000
                                     2.000
                                  R1.000
                                  R1.000



                                                        6.000
                                                        6.000
                                               10.000
                                               10.000
               7.10  The following figure shows a half model of a clevis assembly consisting of a
                   yoke, a pin, and a u-shape. The assembly components are made of structural
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