COURSE SUMMARY
Course Title:
Computer Methods of Structural Analysis
Course Code:
15CVL434
Year Taught:
2015
2016
2017
2018
Degree:
School:
School of Engineering
Campus:
Chennai
Coimbatore

'Computer Methods of Structural Analysis' is a course offered in B. Tech. in Civil Engineering program at School of Engineering, Amrita Vishwa Vidyapeetham.

#### SYLLABUS

Unit 1

Force and Displacement measurement - generalized or independent measurements - constrained or dependent measurements - n dimensional space - principle of superposition - methods of structural analysis. Structure with single and two coordinates - flexibility and stiffness matrices in n coordinates – examples - symmetric nature - constrained measurements - stiffness and flexibility matrices of the element as well as the system - computing the influence coefficient. Strain energy in terms of stiffness and flexibility matrices - interpretation of coefficient - Betti's law - other energy theorems using matrix notation.

Unit 2

Flexibility and Stiffness Methods (Element Approach): Choice of redundant - ill and well condition equation - Transformation Matrices - transformation of one set redundant to other set - thermal expansion - lack of fit – application to pin-jointed plane truss - continuous beams, frames and grids. Development of stiffness method - analogy between flexibility and stiffness - analysis due to thermal expansion, lack of fit - Stiffness matrix with rigid body motion - application to pin jointed plane and space trusses - continuous beams - frames and grids - static condensation techniques. Problem solving by computer - choice of the method.

Unit 3

Introduction to Finite Element Method: Basic concepts - Rayleigh-Ritz Method - Finite difference method – Variational principles - MWR (theory only) - Steps in finite element method - Axial element force formulation by displacement method only - Theory of stress model -Displacement model - Hybrid models. Analysis and Design of Pin-jointed and Rigid-jointed Framed Structures using STADD pro (2D and 3D), Introduction to SAP, ETABS, ABAQUS.

#### TEXTBOOKS/REFERENCES

TEXTBOOKS

• Rajasekaran S, Sankara Subramanian G, “Computational Structural Mechanics”, Prentice- Hall of India Pvt, 2006.
• Krishnamoorthy C. S., Rajeev S., “Computer Aided Design”, Narosa Publishing House, New Delhi, 1991.

REFERENCE BOOKS

• Wang. C. K., “Intermediate Structural Analysis”, Tata McGraw Hill, 1983.
• Timoshenko and Young, “Theory of Structures”, McGraw Hill, 1965.
• Kanchi. M. B., “Matrix Methods of Structural Analysis”, New Age International, 1993.
• Reddy. J. N., “An introduction to finite element method”, Tata McGraw Hill, 2005.