Structural Analysis

Mode of Delivery

Face to Face

Prerequisites and Co-Requisites

None

Recommended Optional Programme Components

Engineering Mechanics

Course Contents

Assumptions for statically determinate and indeterminate structures, principles of equilibrium in determining reactions, bending moments and shear diagrams. Influence lines. Virtual work theory, Determination of displacements by virtual work. Castigliano’s theorem and moment area theorems. Statically indeterminate structures. Force and displacement method of approach using slope-deflection method. Flexibility and stiffness methods. By the virtual work, strain energy, moment area and moment distribution methods. Introduction to matrix methods of structural analysis. Philosophy of the structural analysis computer programs.

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) Yielding of support, analysis of isostatic and hyperstatic systems whose supports were defined with elastic springs against rotational and horizontal displacement
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 calculations, application to beam deflections and displacement in determinate beams and rigid frames systems
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) Element stiffness matrix, force displacement matrix, matrix method in the analysis of structure systems
14) Applications
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) Discussion
4) Drill and Practice
5) Case Study
6) 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