Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables,
Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables,
Finite element analysis of vehicle-bridge interaction
Finite Elements in Analysis and Design
Concepts and Applications of Finite Element Analysis
Concepts and Applications of Finite Element Analysis
Finite Elements in Analysis and Design
Finite Elements in Analysis and Design
Finite Elements in Analysis and Design
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An analysis method for moving loads computes the internal force history in a structural member at the integration points of force-based finite elements as opposed to the end forces of a refined displacement-based finite element mesh. The force-based formulation satisfies strong equilibrium of internal section forces with the element end forces and the moving load. This is in contrast with displacement-based finite element formulations that violate equilibrium between the section forces and the equivalent end forces computed for the moving load. A new approach to numerical quadrature in force-based elements allows the specification of integration point locations where the section demand is critical while ensuring a sufficient level of integration accuracy over the element domain. Influence lines computed by numerical integration in force-based elements converge to the exact solution and accurate results are obtained for practical applications in structural engineering through the new low-order integration approach. The proposed methodology for moving load analysis has been incorporated in automated software to load rate a large number of bridges efficiently.