STRUCTURAL MODELING AND ANALYSIS ENGAGE Flashcards
This ability allows engineers to design more resilient, innovative, and economical structures that are increasingly more necessary to meet global growth and sustainability demands.
Structural Modeling
The most common mathematical solution used to perform computational simulation
finite-element analysis method
involves idealization of a physical structure, its support conditions, and its applied loading, in a mathematical framework, to determine the structural behavior of the structure.
finite-element analysis method
individual components of a structure are mathematically idealized as discrete (finite) line, surface, and volumetric elements.
finite-element analysis method
connected to each other at nodes
Finite elements
applied at locations of nodes (loads can be also applied to elements directly, but eventually, they are later resolved to nodes)
Loads and boundary constraints
the displacements (translations and rotations), called degrees of freedom (DOFs), at each node
primary unknowns
Types of Finite-Element Analysis
LINEAR ANALYSIS
NON-LINEAR ANALYSIS
- assumes that the structure undergoes small displacements
- members remain elastic
- determines the elastic stiffness of each element
- relationship between loads and displacements is proportional and linear.
- displacement and forces from every load condition can be determined in isolation.
- resulting displacements and forces can then be factored and combined with other load condition results as prescribed by the building code load combinations.
LINEAR ANALYSIS
- utilized when a structure undergoes large displacements or when materials go beyond their elastic limit and a more accurate simulation of structural behavior is required.
- analysis must be performed for each combination of gravity and lateral loads acting together.
- This type of analysis involves an incremental-iterative numerical solution in which structural response is traced for incremental load increments.
NON-LINEAR ANALYSIS