验证例题02.pdf

1Example 2 Title Continuous beam with fixed ends and an intermediate hinge support Description A continuous beam with fixed ends and an intermediate hinge support is subjected to a uniformly distributed load and a concentrated load.Determine the bending moments of the structure.Structural geometry and analysis model 2Model Analysis Type 2-D static analysis(X-Z plane)Unit System ft,kip Dimension Length 30.0 ft Element Beam element Material Modulus of elasticity E =4320.0 103 ksf Section Property Element Moment of inertia Iyy=0.0201 ft4 Element Moment of inertia Iyy=0.0067 ft4 Boundary Condition Nodes 1 and 3 ;Constrain all DOFs.Node 2 ;Constrain Dx and Dz.(Rotational hinge about the Y-axis)Load Case A uniformly distributed load,1.2 kips/ft,is applied at the element in the Z direction.A concentrated load,8.0 kips is applied to the mid-point of the element in the Z direction.Example 2 3Results Bending moment diagram of the structure 4Comparison of Results Unit:kip-ft Bending Moment(My)Element Node Theoretical MIDAS/Gen 1 1-49.0-49.0 2 2-22.0-22.0 2-22.0-22.0 2 3-4.0-4.0 References Lausen,Harold I,“Structural Analysis”,McGraw Hill Book Co.Inc.,New York,1969.pp.323325.