By the end of this course, students will be able to:

Explain the fundamental differences between linear and nonlinear structural analysis, including material and geometric nonlinearities.

Apply root-finding and iteration strategies (e.g., Newton–Raphson, event-to-event methods) to solve nonlinear equilibrium equations in structural analysis.

Develop nonlinear constitutive models for steel and reinforced concrete, including one-dimensional plasticity and return mapping algorithms.

Construct fiber-discretized sectional models and generate axial force–moment interaction diagrams, moment–curvature, and moment–rotation relationships.

Compare and contrast lumped-plasticity and distributed-inelasticity approaches, as well as displacement-based and force-based (mixed) finite element formulations.

Assess the significance of large displacement effects (P–Δ, P–δ) and incorporate them into nonlinear frame analysis using both element-level and corotational approaches.

Perform nonlinear static (pushover) and dynamic analyses of framed structures using computer-based implementations.

Evaluate the advantages, limitations, and accuracy of different nonlinear modeling strategies for structural members and systems.

Integrate theoretical knowledge with computational tools to conduct independent nonlinear structural analysis projects, interpret results, and present findings effectively.