Course Description
Elementary fundamentals of linearly elastic and isotropic solid mechanics would be discussed in this course. This is a typical base course for Structural Analysis, Theory of Elasticity and Plasticity, Structural Design, Mechanics of Machinery, etc. Generally, Civil Engineering, Mechanical Engineering and Electrical Engineering graduate students would be the stake holders of this course!
Objectives
1. To introduce the basic concepts of stress, strain, displacements and elastic properties of materials.
2. To develop an affinity towards the study of internal forces in structures, like bending moment, shear force, twisting moment and axial force and their associated stresses and strains and hence to lead towards their applicability in design of structures and machine components.
3. To introduce deflection and slope of structures through elastic and statically determinate beam examples.
4. To introduce the concept of stability of structures through Euler's analysis of columns and hence to show that stability criteria is as important as strength or serviceability criteria in design of structures.
Prerequisites
1. A basic knowledge of Elementary Engineering Mechanics - Statics (Newtonian Mechanics) is expected.
2. Exposure to basic algebra, trigonometry, calculus and matrix operations.
- Teacher: Dr. Sunilkumar N.
Course Description
This is a follower course of Analysis of Structures I and II for 2012 scheme B.Tech Civil Engineering in the CUSAT. The course essentially aims at matrix based analysis of structures and introduction to the finite element method (elementary level, only). Introduction to computer methods of analysis of structures can also be a part of discussion.
Course Objectives
1. To introduce the basics of flexibility and stiffness and hence pave way to systematic methods for structural analysis.
2. To introduce the concept of writing the linear algebraic equations generated as part of the analysis of structures through the method of consistent deformation or the slope-deflection method in matrix form and solving them after applying the boundary conditions.
3. Introduction of the direct stiffness method to throw light to the need of computer implementation of the method and give a step-by-step procedure for the same.
4. To eradicate an expected fearful approach of a student of civil engineering towards the most versatile numerical tool in engineering, the finite element method through introduction of the same via. the stiffness method.
Prerequisites
1. Exposure to statically indeterminate structural analysis through consistent deformation and slope deflection methods.
2. Basics of strength of materials.
3. A good level of understanding of determination of deflection and slope of basic structures (beams and portal frames).
4. Sound mathematical ability in linear algebra, fundamental calculus and basic trigonometry.
- Teacher: Dr. Sunilkumar N.
Course Description
The fundamentals of the most versatile numerical tool in engineering and science, the Finite Element Method (FEM), limitations of applicability of the FEM, introduction to the open world of a class of methods, named as the Mesh-free methods (M-Free) and description of one of such methods would be attempted in this course.
Course Objectives
1. Introduce the Finite Element Method from the scratch through solid mechanics applications.
2. Motivate the students to generate an affinity towards assimilating the fundamentals of the FEM before attempting any computer program of which the FEM is a black box.
3. Illustrate the FEM (in 1D and 2D) through certain typical benchmark examples from solid mechanics and numerical procedure for integration, solution of equations (linear, non-linear and eigen value problems).
4. Throw light on the limitations of the applicability of the mesh-based methods and the remedies adopted to overcome the same, in the literature.
5. Introduce the mesh free concept and illustrate the same through one of the integral equation representation mesh-free methods, the Reproducing Kernel Particle Method (RKPM).
Prerequisites
1. Exposure to linear solid mechanics (equations of equilibrium, compatibility, boundary conditions, applications, etc.).
2. Exposure to linear algebra (matrices and their operations), calculus and partial differential equations.
- Teacher: Dr. Sunilkumar N.