JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY HYDERABAD

Pre-requisites

RCC and numerical methods

Course Objectives:

• 1. To understand the concepts calculus of variation for optimization
• 2. To perform linear, non-linear and geometric programing methods
• 3. To understand the applications of mathematical optimization methods to steel and RCC
• 4. To perform the designs based on frequency constraint

Course Outcomes

After completion of the course, students should be able to

• 1. Use Variational principle for optimization
• 2. Perform linear, non-linear, dynamic and geometric programing methods
• 3. Apply optimization techniques to structural steel and concrete members
• 4. Design using frequency constraint

UNIT - I

Introduction: Simultaneous Failure Mode and Design, Classical External Problems.

UNIT - II

Calculus of Variation: Variational Principles with Constraints,

UNIT - III

Linear Programming, Integer Programming, Nonlinear Programming, Dynamic Programming,

UNIT - IV

Geometric Programming and Stochastic Programming.

UNIT - V

Applications: Structural Steel and Concrete Members, Trusses and Frames. Design: Frequency Constraint, Design of Layouts.

REFERENCE BOOKS:

• 1. Elements of Structural Optimization, Haftka, Raphael T., Gürdal, Zafer, Springer
• 2. Variational methods for Structural optimization, Cherkaev Andrej, Springer M. Tech in STRUCTURAL ENGINEERING I YEAR I – SEMESTER