Matrix Methods of Structural Analysis

Mode of Delivery

Face to Face

Prerequisites and Co-Requisites

None

Recommended Optional Programme Components

Structural Analysis

Course Contents

Stiffness and loading matrices of 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) Structural load carrying systems, Hyperstatic systems, definitions and assumptions
2) Energy methods for the hyperstatic sistems
3) Energy methods for the hyperstatic systems
4) Unit Displacement / Force coefficients for different deformations and loadings
5) Analysis of the determinate and indeterminate structural systems with settlement / movement of the supports, rotations and diplacements of the supports based on the definitions with elastic springs.
6) effects of the temparature change, shrinkage, creep, etc. on to the structural systems (2-D frames and beams), assumptions, treatments in analysis techniques
7) unit load method, theory of the Virtuel work and deformation of statically determinate beams and rigid frames, application to beam deflections and slopes, application to deflections and slopes of rigid frames
8) Midterm examination/Assessment
9) Law of reciprocal deflections, theorem of least work, Analysis of statically indeterminate beams and rigid frames by the force method (including yielding of the support, thermal change, shrinkage, creep, etc. )
10) The three moment equations, derivation of the 3-moment equation, application of the 3-moment equation to analysis of continuous beams due to applied loads with/without uneven support settlements
11) Hardy-Cross (Moment distribution method), basic consept, stiffness and cary-ower factors, distribution factors, application to the structurally indeterminate beam and rigid frame systems for applied differrent load cases.
12) Slope-deflection method, derivation of the slope-deflection equations for the statically indeterminate structures for uneven support settlements, joint translations with or without lateral movements. Application to the indeterminate structures.
13) Matris displacement method of truss and beam analysis, element stiffness matrix, force displacement matrix, numerical examples
14) numeric examples
15) applications
16) Final examination

Recommended or Required Reading

1- [1] Kemal Beyen, Yapı Statiği –II, Ders Notları
2- [1] Kemal Beyen, Yapı Statiği –II, Ders Notları [2] Yapı Statiği –2, Prof. Dr. Enver Çetmeli (İ.T.Ü.) ve Prof. Dr. Adnan Çakıroğlu (İ.T.Ü.), 1980, Çağlayan Yayınevi [3] Hiperstatik Sistemlerin Çözümü, Prof. Dr. İbrahim Ekiz (Y.T.Ü.),2003, Çağlayan Yayınevi. [4] Structural Analysis Package (SAP) eğitim programı (CSI) ve dökümanları
3- [1] Kemal Beyen, Structures – II, Lecture Notes, (in Turkish)
4- [2] Structures – 2, Prof. Dr. Enver Çetmeli (İ.T.Ü.) and Prof. Dr. Adnan Çakıroğlu (İ.T.Ü.), 1980, Çağlayan Yayınevi, (in Turkish) [3] Analysis of the Hyperstatic structural systems, Prof. Dr. İbrahim Ekiz (Y.T.Ü.),2003, Çağlayan Yayınevi. (in Turkish) [4] Structural Analysis Package (SAP), training set (CSI) and technical documents

Planned Learning Activities and Teaching Methods

1) Lecture
2) Question-Answer
3) Lab / Workshop
4) Self 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

English

Work Placement(s)

Not Required