验证例题03.pdf

1Example 3 Title Overhanging beam analysis Description An H(I)-section beam is supported as shown below and loaded on the overhangs with uniformly distributed loads.Determine the maximum displacements and the stresses of the beam.Only a half model may be analyzed due to symmetry.Structural geometry and analysis model 2Model Analysis Type 2-D static analysis(X-Z plane)Unit System in,lbf Dimension Length 240.0 in Element Beam element Material Modulus of elasticity E =30.0 106 psi Section Property Moment of inertia Iyy =7892.0 in4(Strong axis)Boundary Condition Node 1 ;Constrain Dx and Ry.(Symmetry)Node 2 ;Constrain Dx and Dz.(Hinged node)Load Case A uniformly distributed load,833.333 lbf/in is applied to the element in the Z direction.Example 3 3Results Displacements Stresses Stress of the structure(Element)4Comparison of Results Unit:in,psi Result Theoretical SAP2000 MIDAS/GenMaximum deflection(max)0.182 0.183 0.182 Maximum stress(max)11404.0 11404.0 11404.0 Reference Timoshenko,S.,“Strength of Materials,Part I,Elementary Theory and Problems”,3rd Ed.,D.Van Nostrand Co.,Inc.,New York,1956,p.98.