National Institute of Technology Rourkela

राष्ट्रीय प्रौद्योगिकी संस्थान राउरकेला

ଜାତୀୟ ପ୍ରଯୁକ୍ତି ପ୍ରତିଷ୍ଠାନ ରାଉରକେଲା

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Syllabus

Course Details

Subject {L-T-P / C} : CE6201 : Matrix Method of Structural Analysis { 3-0-0 / 3}

Subject Nature : Theory

Coordinator : Bibekananda Mandal

Syllabus

Module 1 :

Introduction: Matrix algebra, basic concepts of structural analysis. [6 hours]

Module 2 :

Flexibility matrix method: Introduction to the flexibility approach, derivation of flexibility matrix for bar, truss, beam, and frame structures, analysis of bar, truss, beam, and frame structures using flexibility matrix method. [10 hours]

Module 3 :

Stiffness matrix method: Introduction to the stiffness approach, derivation of stiffness matrix for bar, truss, beam, and frame structures, analysis of bar, truss, beam, and frame structures using stiffness matrix method. [10 hours]

Module 4 :

Direct stiffness method: Introduction to the direct stiffness method, derivation of member stiffness matrix using direct stiffness method for prismatic members, analysis of bar, plane truss, beam, plane frame, space truss, grid, and space frame structures using direct stiffness method, development of MATLAB codes for the analysis of skeletal structures using direct stiffness method. [10 hours]

Course Objective

1 .

Students will be able to perform matrix computations.

2 .

Students will be able to develop flexibility and stiffness matrix for prismatic members.

3 .

Students will be able to develop member stiffness matrix using direct stiffness method for prismatic members.

4 .

Students will be able to analyze bar, truss, beam, and frame structures using matrix method.

Course Outcome

1 .

To analyze skeletal structures for redundant actions using the flexibility matrix method.

2 .

To analyze skeletal structures for unknown joint displacements, member end actions, and support reactions using the flexibility matrix method.

3 .

To analyze skeletal structures using the stiffness matrix method.

4 .

To determine stiffness matrices and analyze bar, plane truss, beam, and plane frame structures using the direct stiffness method.

5 .

To determine stiffness matrices and analyze space truss, grid, and space frame structures using the direct stiffness method.

Essential Reading

1 .

W. Weaver, J. M. Gere, Matrix Analysis Framed Structures, Springer US

2 .

G. S. Pandit and S. P. Gupta, Structural Analysis: A Matrix Approach, Tata McGraw-Hill

Supplementary Reading

1 .

P. Nagarajan, Matrix Methods of Structural Analysis, CRC Press

2 .

A. Kassimali, Matrix Analysis of Structures, CL Engineering

Journal and Conferences

1 .