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Course Description:
This course is an overview of classical indeterminate structural analysis methods (force and displacement methods), approximate methods of analysis, plastic analysis methods, collapse analysis, shakedown theorem, and structural optimization.
Topics will include basic formulations of structural analysis; approximate methods of analysis and the role of symmetry; limit analysis; cable structures and nonlinearity; and notes on buckling of structures.
Faculty/Manager:
Christian Meyer
Contact Information:
Christian Meyer
email: cm25@columbia.eduCredits for Course: 3 Viewing Schedule: 1 lecture per week Prerequisites: Structural Analysis (CIEN E3121) Applicable Degree Program: MS program in Civil Engineering
Most courses 4000-level and above can be credited to all degree programs. All courses are subject to advisor approval. Reference Text(s): Suggested Reference Books:
Leet, "Fundamentals of Structural Analysis", Macmillan, New York, 1988.
Norris, Wilbur, Utku, "Elementary Structural Analysis", 4th Ed., McGraw-Hill, New York, 1991
Neal, "The Plastic Methods of Structural Analysis", Chapman & Hall, London, 1965
Hodge, "Plastic Analysis of Structures", McGraw Hill Book Co., New York, 1959.
Notes: Course Outline:
1. Introduction
Definitions, assumptions, the structural analysis problem, idealization of structures, exact vs. approximate analysis, the role of the computer
2. Review of Statics and Kinematics
Equilibrium, statical indeterminacy, compatibility, stability, analysis of symmetric structures, moment area principles, conjugate structure
3. Energy Methods
Energy theorems, Castigliano's theorems, virtual work, reciprocity theorems, M�ller-Breslau principle, influence lines
4. Force Method
Overview, computing deflections, compatibility equations, solution of indeterminate structures
5. Displacement Method
Slope-deflection equations, stiffness equations, direct stiffness method, solution of indeterminate structures
6. Approximate Methods
Moment distribution with and without sidesway, portal method, cantilever method, sketching deflected structures
7. Fundamentals of Plastic Analysis
Introduction, simple cases of plastic collapse, yield line theory
8. Basic Theorems
Assumptions, static theorem, kinematic theorem, uniqueness theorem, general methods
9. Shakedown Theorems
Variable repeated loading, shakedown theorem, incremental collapse, trial and error method
* The information contained in this syllabus is subject to change at any time.