Kocaeli University / European Credit Transfer System (ECTS)

Name of Lecturer(s)

Prof. Dr. Kemal BEYEN

Learning Outcomes of the Course Unit
Program Competencies-Learning Outcomes Relation

Learning Outcomes of the Course Unit

1) Matrix displacement method
2) Force Method in Matrix Analysis
3) Nonlinear Structural Systems and Analysis
4) Applications of matrix methods to dynamic analysis of structures.

Program Competencies-Learning Outcomes Relation

		Program Competencies
		1	2	3	4	5	6	7	8	9
Learning Outcomes
	1	High	High	Middle	Low	No relation	Middle	High	High	High
	2	High	High	Middle	Low	No relation	Middle	High	High	High
	3	High	High	Middle	Low	No relation	Middle	High	High	High
	4	High	High	Middle	Low	No relation	Middle	High	High	High

Mode of Delivery

Face to Face

Prerequisites and Co-Requisites

None

Recommended Optional Programme Components

Structures

Course Contents

Stiffness and loading matrices of the axial bar and prismatic frame elements, matrix displacement method, application to two and three-dimensional structures, stiffness and loading martrices of two dimensional frame elements, matrix force method, materially and geometrically non-linear structures, applications of matrix methods to dynamic analysis of structures.

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

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

Course Unit Title	Course Unit Code	Type of Course Unit	Level of Course Unit	Year of Study	Semester	ECTS Credits
Matrix Methods In Structural Systems	INS558	Elective	Master's degree	1	Spring	8