用户手册04_验证手册验证例题24

1、Example 24TitleHemispherical shell under concentrated loadsDescriptionDetermine the displacements of a hemispherical shell subjected to concentrated tensile and compressive loads in two orthogonal radial directions.Only a quarter model may be analyzed due to symmetry.Structural geometry and analysis

2、 model (Quarter model)4Verification ExampleMODELAnalysis Type3-D static analysisUnit Systemin, lbfDimensionRadius 10.0 inElementPlate element (Thick type)MaterialModulus of elasticity E = 6.825 107 psi Poissons ratio= 0.3Element PropertyElement size : A quarter model is divided into 8 equal spaces i

3、n both directions along the surfaceThickness t = 0.04 inBoundary ConditionNodes 1 9; Constrain Dy, Rx and Rz. (Symmetric about X-Z plane) Nodes 73 81; Constrain Dx, Ry and Rz. (Symmetric about Y-Z plane)Node 37;Constrain Dz. (To prevent the rigid body motion in the Z direction)Load CaseA concentrate

4、d load, 1.0 lbf is applied to the node 1 in the X direction. A concentrated load, 1.0 lbf is applied to the node 73 in the -Ydirection.Example 24ResultsX-displacements of the structure (Node 1)Verification ExampleComparison of ResultsNodeUnit : in X-displacement (dx) Ref. 1SAP2000MIDAS/Gen10.09400.09370.0948ReferenceMacNeal, R. H. and Harder, R. C., “Proposed Standard Set of Problems to Test Finite Element Accuracy”, Fini