Study Mech

  Beam problem Problem1 Description: A simply supported Beam of 4000 mm length as shown in fig. A point load of 500 N and UDL load of 0.4 N/mm will be applied to a solid steel beam with a rectangular cross section. The cross section of the beam is 200mm*300mm while the modulus of elasticity of the steel is 200GPa and Poisson’s ratio is 0.3. Find the maximum deflection, Shear forces, Bending moment, and Reaction forces. problem figure Results: Discipline: Structural Analysis Type: Static Element type: Beam, 2 node 188 Material model: Linear elastic isotropic. Section: common section of beam – rectangular c/s, B= 200, H=300. Key points: 4 key points are taken at x= 0, 2000, 3000, 4000. (*all dimensions are in mm) Meshing: for all 3 elements, the number of element divisions are taken as 30.  Displacement: at key-point1 (x=0), due to hinged support constraints are chosen in translation in all directions and rotation in x and y direction. Because the beam can only rotate in z direct

  2-D Static Stress Analysis on a Flat plate with Hole Problem2 Description: Examine the stress concentrations in a flat rectangular plate of size 0.5 × 0.2 with three holes whose dimensions are as follows, Centre X Y Radius Hole 1 0.25 0.1 0.01 Hole 2 0.23 0.1 0.005 Hole 3 0.27 0.1 0.005 Given: Young’s Modulus = 70e9, Poisson ratio = 0.3, Pressure 100 N, Thickness of plate is 0.3. * All dimensions are in meters. For,   Results: Discipline: Structural Analysis Type: Static Element type: Solid, Quadrilateral 8 node 183 Material model: Linear elastic isotropic Material option: Plane stress with thickness Real constant: 0.3m thickness (because given problem is 3D plate problem) Max deflection:   In given 3D plate case, applied pressure load at free end of plate = -100/0.3 (= force/width)                                                         = -333.33 N/m (tensile) After applying load, the plate gets a maximum deform of 0.240E-8 m in the direction of lo