Syllabus

Prerequisites: Undergraduate level courses on structural analysis and Mathematics of Matrix analysis

Syllabus
Module I: Review of concepts in structural analysis (8 hours)
Different structural elements, joints and support conditions, static indeterminacy & kinematic indeterminacy, stability, equilibrium, compatibility, force-displacement relationship, analysis of beams and frames by slope deflection method, introduction to matrix & flexibility method.
Module II: Matrix analysis of bar & spring assemblage (6 hours)
Element stiffness matrix of bar & spring assemblage, generation of global stiffness matrix, boundary condition by elimination or penalty approach, examples of bar & spring assemblage problems using direct stiffness approach, temperature stresses in bar element, stresses in bar element due to lack of fit.
Module III: Direct stiffness approach of pin jointed truss (8 hours)
Development of element stiffness matrix by direct stiffness approach, generating truss stiffness matrix by transformation matrix approach, example problems of 2D & 3D truss by stiffness approach, temperature stresses for truss.
Module IV: Stiffness approach for beam & rigid jointed frame (8 hours)
Beam element stiffness, an assemblage of element stiffness matrix to global stiffness, applying boundary conditions, examples of continuous beam problem with nodal & inter-nodal loads, direct stiffness approach for rigid jointed frames with example problems.
Module V: Force method or Flexibility matrix method (6 hours)
Developing flexibility matrix for different statically indeterminate beams with different support conditions, analysis of truss structure using flexibility approach.

This course will enable students to:
1. To develop a skills to idealize, formulate, and analyze determinate and
indeterminate structures (beams, trusses, and frames) using classical and matrix structural analysis methods.

2. To present modern methods to determine the force distribution and
deformed shapes of structures.

3. To develop skills in interpreting and predicting solutions from structural analysis.

4. To introduce computer-based applications for the numerical methods as
presented.

After the completion of this course, students will be able to:

CO1: Students will understand the basic concept of slope-deflection, stiffness & flexibility method.

CO2: Students will be able to analyse the bar & spring assemblage problems using the stiffness method.

CO3: Students will be able to solve 2D & 3D truss problems using the direct stiffness approach.

CO4: Students will be able to understand the stiffness approach for beam & rigid jointed frame structure.

CO5: Students will be able to learn applications of the flexibility method for statically indeterminate beam and truss structures.

(1) Menon, Devdas, Advanced Structural Analysis,Narosa, (2) MATRIX ANALYSIS of FRAMED STRUCTURES, 3-rd Edition, by Weaver and Gere Publishe, Chapman & Hall, New York, New York, 1990, (3) Junarkar, S. B. and Shah, H. J. (1999). Mechanics of Structures – Vol. II, Charotar Publishing House, Anand

(4) Kassimali, Aslam, Matrix Structural Analysis, Cengage Learning, 2012, (5) Armenakas, A. E. (1988). Classical Structural Analysis – A Modern Approach, McGraw-Hill Book Company, NY, ISBN 0-07-100120-4, (6) Hibbeler, R. C. (2002). Structural Analysis, Pearson Education (Singapore) Pte. Ltd., Delhi, ISBN 81-7808-750-2 , Learning, Stamford, CT. 640p. ISBN-13: 978-1111426200

(7) Przeminiecki, J.S, Theory of Matrix Structural Analysis, Dover Press , 1985

(8) Dym, C.L.,, Structural Modeling and Analysis, Cambridge University Press , 2005