UNIVERSITY OF KERALA - College of Engineering, Trivandrum

Syllabus for VII Semester
08.701 ADVANCED STRUCTURAL ANALYSIS
L T P/D Cr
3 2 0 5
Module I
Introduction to matrix analysis of structures – Concept of flexibility and stiffness influence coefficients –
Concept of development of flexibility matrix by physical approach – Equivalent joint loads – Concept of
element approach – Development of equilibrium matrix – Element flexibility matrices for truss, beam and plane
frame elements - Development of structure flexibility matrix by element approach – Evaluation of
displacements in statically determinate beams, rigid jointed and pin-jointed plane frames by flexibility matrix
approach – Analysis of statically indeterminate beams, rigid jointed and pin-jointed plane frames by flexibility
matrix approach.
Module II
Concept of development of stiffness matrix by physical approach – Concept of element approach –
Development of compatibility matrix – Element stiffness matrices for truss, beam and plane frame elements -
Development of structure stiffness matrix by element approach– Analysis of statically indeterminate beams,
rigid jointed and pin-jointed plane frames by stiffness matrix approach – Concept of direct stiffness method –
Transformation of element stiffness matrices from local to global co-ordinates – Application of direct stiffness
method to two span continuous beams- Advantages of direct stiffness method – Comparison of flexibility matrix
and stiffness matrix methods.
Module III
Introduction to finite element analysis – Concept of discretization of continuum-Finite element analysis
procedure – Relevant basics of elasticity – Stress-strain relation(Constitutive relation)- Strain-displacement
relation – Concept of strain-displacement matrix – Types of 1-D, 2-D and 3-D finite elements – Plane stress and
plane strain problems – Displacement function – Convergence and compatibility requirements - Development of
shape functions for truss element (2-noded and 3-noded), beam element and CST element – Derivation of
expressions for element stiffness matrix and nodal load vector (Derivation of equilibrium equation) –
Development of stiffness matrix for truss element alone.
References
1. William Weaver Jr. and James M. Gere, Matrix analysis of framed structures, CBS Publishers, New
Delhi.
2. Pandit G. S. and Gupta S. P., Structural analysis – A Matrix Approach , Tata McGraw Hill, New
Delhi.
3. Rajasekharan S. and Sankarasubramanian G., Computational Structural Mechanics, Prentice Hall of
India, New Delhi.
4. Hibbeler R. C., Structural Analysis, Pearson Education, New Delhi.
5. Ghali A., Neville A. M. And Brown T. G., Structural Analysis – A unified classical and matrix
approach, Spon Press, London and Newyork.
6. Cook R.D. et al., Concepts and applications of Finite Element Analysis, John Wiley & Sons.
7. Krishnamoorthy C. S., Finite Element Analysis – Theory and programming, Tata McGraw Hill,
New Delhi.
8. Rajasekharan S., Finite Element Analysis in Engineering Design, Wheeler Publishers.
9. Chandrapatla T. R. and Belegundu A. D., Introduction to Finite Elements in Engineering, Prentice
Hall of India, New Delhi.
Question Paper: Duration:3 hours
The question paper consists of Part A and Part B.
Part A carries 40 marks. There will be 8 compulsory short answer questions covering entire syllabus.
Part B is for 60 marks. There will be 2 questions from each module. The candidate has to answer one question
of 20 marks from each module.
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