Nonlinear Structural Analyses

Mode of Delivery

Face to Face

Prerequisites and Co-Requisites

None

Recommended Optional Programme Components

Finite Element Theory and Application for Structural Systems

Course Contents

Nonlinear definition of materials. Geometric nonlinearities of structural systems. Definition and formulation of nonlinear static problems. Solution of nonlinear equation sets by displacement control and approach methods. P-Delta effect and modelling with geometric nonliearity concept. Definition of plastic hinges that are local or distributed through the element. Nonlinear modeling of reinforced concrete and steel structures. Steps of nonlinear modelling and analysis.

Weekly Schedule

1) Introduction to nonlinear structural analysis; Classification of nonlinear problems
2) Solution strategies for nonlinear equilibrium equations; Event to event solution strategy; Newton-Raphson iteration
3) Solution strategies for nonlinear equilibrium equations; Event to event solution strateg; Newton-Raphson iteration
4) Nonlinear material response; One-dimensional plasticity; return mapping algorithm
5) Nonlinear material response; Nonlinear constitutive models of steel; Nonlinear constitutive models of reinforced concrete
6) Nonlinear section response; Fiber discretization of a section
7) Nonlinear section response; Axial force – bending moment interaction diagrams;Moment – curvature, moment – rotation models
8) Midterm examination/Assessment
9) Nonlinear material frame elements; Lumped and disitributed plasticity models
10) Nonlinear material frame elements; Displacement-based vs. force-based (mixed formulation) approaches in frame elements
11) Nonlinear geometric response; Nonlinear geometric effects along a frame element: P-D effect
12) Nonlinear geometric response; Nonlinear geometric effects in a frame element through P-D and corotational transformations
13) Applications on nonlinear analysis of framed structures; Pushover (nonlinear static) analysis (TS500 and TEC-2007)
14) Applications on nonlinear analysis of framed structures; Nonlinear dynamic analysis (TS500 and TEC-2007)
15) Examples of nonlinear analysis for frame systems in 2D and 3D.
16) Final examination

Recommended or Required Reading

1- Doğrusal Olmayan Yapı Analizi, Kemal Beyen
2- Nonlinear Structural Analysis, Kemal Beyen
3- Matlab Kullanıcı Dökümanı
4- Matlab User Manuel

Planned Learning Activities and Teaching Methods

1) Lecture
2) Discussion
3) Demonstration
4) Group Study
5) Problem Solving

Assessment Methods and Criteria

Contribution of Midterm Examination to Course Grade	40%
Contribution of Final Examination to Course Grade	60%
Total	100%

Language of Instruction

Turkish

Work Placement(s)

Not Required