Question: What are the key principles and methodologies underlying the finite element method in structural analysis, and how does it facilitate the prediction of complex behaviors

What are the key principles and methodologies underlying the finite element method in structural analysis, and how does it facilitate the prediction of complex behaviors in civil engineering structures? Discuss the fundamental assumptions, governing equations, and numerical procedures involved in implementing finite element analysis, emphasizing its applications in assessing stress distributions, deformation patterns, and failure mechanisms in diverse structural systems.

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