CE 384 STRUCTURAL ANALYSIS I Öğr. Gör. Dr. Nildem Tayşi

Required Text / Materials: Structural Analysis, 6th edition, by R.C. Hibbeler, Pearson - Prentice Hall, 2006, ISBN 0-13-147089-2. (kitabi www.pandora.com.tr adresinden alabilirsiniz) H.H.West Fundamentals of Structural Analysis, Wiley, 1993. Distribution of Marks: Midterm Exam I: 25 % Midterm Exam II: 25 % Quizs+Homeworks: 10 % Final Exam: 40 % Total: 100 %

CONTENT Basic Concepts and Terminology   Introduction: Basic Concepts and Terminology Statically Determinate Structures vs. Statically Indeterminate Structures - Discretization of Structures: - Fundamental Assumptions

Slope-Deflection Method -Derivation of Slope-Deflection Equations -Application to the Analysis of Continuous Beams -Application to the Analysis of Rigid Frames without Joint Translations -Application to the Analysis of Rigid Frames with Joint Translations Moment Distribution Method -Basic Concepts: Relative Member Stiffness, Distribution Factors and Carry-Over Factors -Modified Member Stiffness and Carry-Over Factor for a Member with One End Hinged -Application to the Analysis of Continuous Beams -Application to the Analysis of Rigid Frames without Joint Translations -Application to the Analysis of Rigid Frames with Joint Translations

Matrix Displacement Method (Stiffness Method) -First Principles of the Displacement Method of Structural Analysis -Analysis of Indeterminate Structures by Displacement Method Using First Principles -Member (Local) and Structural (Global) Coordinates -Member (Element) Stiffness Matrix in Member (Local) Coordinate System -Member (Element) Stiffness Matrix in Structural (Global) Coordinate System -Assembly of Element Stiffness Matrix into Structural Stiffness Matrix -Computer Implementation of the Matrix Displacement Method and Applications (MathCAD) -Demonstration of Commercially Available Structural Analysis Software (SAP2000) Influence Lines for Moving Loads -Influence Lines for Determinate Structures -Müller-Breslau Principle -Influence Lines for Indeterminate Structures Applications to bridge loading

Determinacy A structure is statically determinate when the equilibrium equations can be utilized to determine all the forces in the structure. A structure is statically indeterminate when there are more unknown forces than available equilibrium equations. The additional equations needed to solve for the unknown reactions are obtained by relating the applied loads and reactions to the displacement or slope at different points on the structure. These equations, which are referred to as compatibility equations, must equal the degree of indeterminacy.

Stability Two situations of stability are also required to maintain equilibrium by providing that members are properly held or constrained by their supports. Partial Constraints – a structure having fewer reactive forces than equations of equilibrium. Improper Constraints - a structure having reactions that are concurrent at a point.