A bridge, as shown below, shall carry a distributed load of 280 kN/m2. For the given load and assuming Fy = 345 MPa: 1) Find the smallest W section that carries the applied shear load. 2) Find the smallest W section that carries the applied moment. 3) Design the beam by considering the shear, moment, as well as a deflection limit of L/240. The hot-rolled, i.e., prefabricated, W sections have limited sizes. Assume that the load has been increased dramatically, and we cannot use prefabricated W sections

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FEA for Dynamic Problems

Finite element analysis or FEA is a computational tool that evaluates the approximate solution for a particular engineering problem. The tools provided by FEA help to evaluate the solutions of partial differential equations (PDEs) computationally following a numerical approach. Solutions of the PDEs can also be performed by following traditional algebraic approaches, but when the problem gets towards the complex side, it becomes very tedious and almost impossible to arrive at the solutions. In such cases, the FEA fulfills the purpose by evaluating the equations following multiple time steps and iterations. The more the time steps and iterations, the more accurate the solution. The solution plotted by FEA analysis and mathematical approaches varies asymptotically.