Sathyabama Institute of Science and Technology M.E. - Structural Engineering SCIA5103 Matrix Method of Structural Analysis Syllabus

[KunwarR]

Sathyabama Institute of Science and Technology M.E. - Structural Engineering SCIA5103 Matrix Method of Structural Analysis Syllabus


SATHYABAMA INSTITUTE OF SCIENCE AND TECHNOLOGY SCHOOL OF BUILDING AND ENVIRONMENT

SCIA5103 MATRIX METHOD OF STRUCTURAL ANALYSIS
L T P Credits Total Marks
3 0 0 3 100

UNIT 1 FUNDAMENTAL CONCEPTS OF STRUCTURES 9 Hrs.
Introduction -Types of Matrices – Matrix addition, Matrix multiplication, Inverse of a matrix of fourth order – Force and
Displacement measurements - Force and Displacement Methods of Structural Analysis- Principles of superposition.
CHARACTERISTICS OF STRUCTURES – STIFFNESS AND FLEXIBILITY
Introduction to Equilibrium – Structures with single coordinate – Two coordinates – Stiffness and flexibility matrices in
coordinates – Stiffness and flexibility matrices in constrained measurements

UNIT 2 ENERGY CONCEPTS IN STRUCTURES 9 Hrs.
Strain energy in terms of stiffness and flexibility matrices – Properties of stiffness and flexibility matrices – Interpretation of
coefficients - Betti’s Law – Other energy theorems - using matrix notations.

UNIT 3 TRANSFORMATION OF INFORMATION 9 Hrs.
Indeterminate Structures – Transformation of System force to element forces – Element Flexibility to System Flexibility –
System Displacement to Element Displacement - Stiffness and Flexibility matrices of the elements- Normal coordinates and
orthogonal Transformation.

UNIT 4 FLEXIBILITY METHOD 9 Hrs.
Statically Determinate and Indeterminate Structures – Choice of redundants leading to ill and well conditioned matrices –
Automatic choice of redundant – Rank technique – Transformation to one set of redundant to another – Internal forces due
to thermal expansion and lack of fit – Reducing the size of flexibility matrix – Application to pin- jointed plane truss –
Continuous beams – Frames – Grids.

UNIT 5 STIFFNESS METHOD 9 Hrs.
Introduction – Development of the stiffness method – Analogy between flexibility and stiffness – Analysis due to thermal
expansion - lack of fit – Application of stiffness approach to pin jointed plane and space trusses – Continuous beams –
Frames.
Max. 45 Hrs.

TEXT / REFERENCE BOOKS
1. Rubinstein, F.M., "Matrix computer methods of Structural Analysis", Prentice Hall, 1966.
2. McGuire and Gallagher, R.H., "Matrix Structural Analysis", John Wiley, 1979
3. Meek, J.L., "Matrix Structural Analysis", McGraw Hill, 1971.
4. Prezemineicki, J.S., "Theory of matrix Structural Analysis", McGraw Hill Book Co., 1984.
5. William Weaver J.R and James M. Gere, "Matrix Analysis of Framed Structures", CBS Publishers & Distributors, 1986.
6. Wang C.K., "Intermediate Structural Analysis", McGraw Hill International Editions, 1983.
7. Ghali A. and Neville A.M., "Structural Analysis A unified Classical and Matrix Approach",4th Edition, E & FN Spon,
Taylor & Francis Group, 1997.

END SEMESTER EXAMINATION QUESTION PAPER PATTERN
Max. Marks: 100 Exam Duration: 3 Hrs.
PART A: 5 Questions of 6 Marks each – No choice 30 Marks
PART B: 2 Questions from each unit of internal choice, each carrying 14 Marks 70 Marks