ST 9261 OPTIMIZATION OF STRUCTURES SYLLABUS | ANNA UNIVERSITY ME STRUCTURAL ENGINEERING 1ST SEM SYLLABUS REGULATION 2009 2011 2012-2013 BELOW IS THE ANNA UNIVERSITY FIRST SEMESTER ME STRUCTURAL ENGINEERING DEPARTMENT SYLLABUS, TEXTBOOKS, REFERENCE BOOKS,EXAM PORTIONS,QUESTION BANK,PREVIOUS YEAR QUESTION PAPERS,MODEL QUESTION PAPERS, CLASS NOTES, IMPORTANT 2 MARKS, 8 MARKS, 16 MARKS TOPICS. IT IS APPLICABLE FOR ALL STUDENTS ADMITTED IN THE YEAR 2011 2012-2013 (ANNA UNIVERSITY CHENNAI,TRICHY,MADURAI,TIRUNELVELI,COIMBATORE), 2009 REGULATION OF ANNA UNIVERSITY CHENNAI AND STUDENTS ADMITTED IN ANNA UNIVERSITY CHENNAI DURING 2009
ST 9261 OPTIMIZATION OF STRUCTURES L T P C
3 0 0 3
OBJECTIVE:
To study the optimization methodologies applied to structural engineering
UNIT I BASIC PRINCIPLES AND CLASSICAL OPTIMIZATION TECHNIQUES 9
Definition - Objective Function; Constraints - Equality and inequality - Linear and
non-linear, Side, Non-negativity, Behaviour and other constraints - Design space -
Feasible and infeasible - Convex and Concave - Active constraint - Local and global
optima. Differential calculus - Optimality criteria - Single variable optimization -
Multivariable optimization with no constraints - (Lagrange Multiplier method) - with
inequality constraints ( Khun - Tucker Criteria).
UNIT II LINEAR AND NON-LINEAR PROGRAMMING 10
LINEAR PROGRAMMING: Formulation of problems - Graphical solution -
Analytical methods - Standard form - Slack, surplus and artificial variables -
Canonical form - Basic feasible solution - simplex method - Two phase method -
Penalty method - Duality theory - Primal - Dual algorithm.
NON LINEAR PROGRAMMING: One Dimensional minimization methods:
Unidimensional - Unimodal function - Exhaustive and unrestricted search -
Dichotomous search - Fibonacci Method - Golden section method - Interpolation
methods. Unconstrained optimization Techniques.
UNIT III GEOMETRIC PROGRAMMING 8
Posynomial - degree of difficulty - reducing G.P.P to a set of simultaneous equations -
Unconstrained and constrained problems with zero difficulty - Concept of solving
problems with one degree of difficulty.
UNIT IV DYNAMIC PROGRAMMING 9
Bellman’s principle of optimality - Representation of a multistage decision problem
- concept of sub-optimization problems using classical and tabular methods.
UNIT V STRUCTURAL APPLICATIONS 9
Methods for optimal design of structural elements, continuous beams and single
storied frames using plastic theory - Minimum weight design for truss members -
Fully stressed design - Optimization principles to design of R.C. structures such as
multistorey buildings, water tanks and bridges.
TOTAL: 45 PERIODS
15
REFERENCES:
1. Rao,S.S. “Optimization theory and applications”, Wiley Eastern (P) Ltd., 1984
2. Uri Krish, “Optimum Structural Design”, McGraw Hill Book Co. 1981
3. Spunt, “Optimization in Structural Design”, Civil Engineering and Engineering
Mechanics Services, Prentice-Hall, New Jersey 1971.
4. Iyengar.N.G.R and Gupta.S.K, “Structural Design Optimisation”, Affiliated East
West Press Ltd, New Delhi, 1997
ST 9261 OPTIMIZATION OF STRUCTURES L T P C
3 0 0 3
OBJECTIVE:
To study the optimization methodologies applied to structural engineering
UNIT I BASIC PRINCIPLES AND CLASSICAL OPTIMIZATION TECHNIQUES 9
Definition - Objective Function; Constraints - Equality and inequality - Linear and
non-linear, Side, Non-negativity, Behaviour and other constraints - Design space -
Feasible and infeasible - Convex and Concave - Active constraint - Local and global
optima. Differential calculus - Optimality criteria - Single variable optimization -
Multivariable optimization with no constraints - (Lagrange Multiplier method) - with
inequality constraints ( Khun - Tucker Criteria).
UNIT II LINEAR AND NON-LINEAR PROGRAMMING 10
LINEAR PROGRAMMING: Formulation of problems - Graphical solution -
Analytical methods - Standard form - Slack, surplus and artificial variables -
Canonical form - Basic feasible solution - simplex method - Two phase method -
Penalty method - Duality theory - Primal - Dual algorithm.
NON LINEAR PROGRAMMING: One Dimensional minimization methods:
Unidimensional - Unimodal function - Exhaustive and unrestricted search -
Dichotomous search - Fibonacci Method - Golden section method - Interpolation
methods. Unconstrained optimization Techniques.
UNIT III GEOMETRIC PROGRAMMING 8
Posynomial - degree of difficulty - reducing G.P.P to a set of simultaneous equations -
Unconstrained and constrained problems with zero difficulty - Concept of solving
problems with one degree of difficulty.
UNIT IV DYNAMIC PROGRAMMING 9
Bellman’s principle of optimality - Representation of a multistage decision problem
- concept of sub-optimization problems using classical and tabular methods.
UNIT V STRUCTURAL APPLICATIONS 9
Methods for optimal design of structural elements, continuous beams and single
storied frames using plastic theory - Minimum weight design for truss members -
Fully stressed design - Optimization principles to design of R.C. structures such as
multistorey buildings, water tanks and bridges.
TOTAL: 45 PERIODS
15
REFERENCES:
1. Rao,S.S. “Optimization theory and applications”, Wiley Eastern (P) Ltd., 1984
2. Uri Krish, “Optimum Structural Design”, McGraw Hill Book Co. 1981
3. Spunt, “Optimization in Structural Design”, Civil Engineering and Engineering
Mechanics Services, Prentice-Hall, New Jersey 1971.
4. Iyengar.N.G.R and Gupta.S.K, “Structural Design Optimisation”, Affiliated East
West Press Ltd, New Delhi, 1997
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