Question

The bridge frame ABCDEFG, shown in Figure Q2, is fixed at supports F and G and pinned at supports A and E. A uniformly distributed load q = 200 kN/m

is applied to the deck of the bridge and two vehicle point loads P = 300 kN are applied symmetrically about the midpoint C of the bridge deck, as shown in Figure Q2.The elastic modulus of the bridge is E = 30 GPa. The cross-sectional area and moment of inertia of the bridge deck are A1 = 2 m2 and I =1.5.10' mª and of the bridge columnsA2 = 0.8 m? and 2 = 4.102 m“ respectively. 1) Taking advantage of symmetry, specify an appropriate structural model of the bridge with the three elements AB, BC and FB and then use hand calculations with or without the aid of appropriate software for scientific calculations, such as Excel or MATLAB, to determine the nodal displacements at B and C and the bending moment, shear force and axial force diagrams of the entire frame. 2) Using SAP2000, specify the nodal displacements at B and C and the bending moment,shear force and axial force diagrams of the entire frame. Compare your results with part 1.You can model the full structure for this question and use as many elements as you think appropriate. Show SAP2000 images of the undeformed geometry of the model with node and element numbers, the applied loading, the deformed geometry and the internal forcesdiagrams.

Question image 1Question image 2Question image 3Question image 4