sc VTU B.TECH Aeronautical-Engineering 2nd year SEMESTER – VI Syllabus For Finite element method PDF 2022 – Cynohub

# VTU B.TECH Aeronautical-Engineering 2nd year SEMESTER – VI Syllabus For Finite element method PDF 2022

### Get Complete Lecture Notes for Finite element method on Cynohub APP

You will be able to find information about Finite element method along with its Course Objectives and Course outcomes and also a list of textbook and reference books in this blog.You will get to learn a lot of new stuff and resolve a lot of questions you may have regarding Finite element method after reading this blog. Finite element method has 5 units altogether and you will be able to find notes for every unit on the CynoHub app. Finite element method can be learnt easily as long as you have a well planned study schedule and practice all the previous question papers, which are also available on the CynoHub app.

All of the Topic and subtopics related to Finite element method are mentioned below in detail. If you are having a hard time understanding Finite element method or any other Engineering Subject of any semester or year then please watch the video lectures on the official CynoHub app as it has detailed explanations of each and every topic making your engineering experience easy and fun.

### Finite element method Unit One

#### Module-1

Introduction: Basic Concepts, Background Review: Stresses and Equilibrium, Plane stress, Plane strain, Potential energy and Equilibrium. Rayleigh – Ritz Method, Galerkin’s Method, Simple applications in structural Analysis. Construction or discrete models – sub domains and nodes – simple elements for the FEM – Simplex, complex and multiples elements Polynomial selection -illustrative examples Elements and shape functions and natural coordinates, Use of local and natural coordinates, compatibility and convergence requirements of shape functions.

### Finite element method Unit Two

#### Fundamentals of Finite Element Method:

Construction of shape functions for bar element and beam element, Bar elements, uniform bar elements, uniform section, mechanical and thermal loading, varying section, truss analysis, Frame element, Beam element, problems for various loadings and boundary conditions.

### Finite element method Unit Three

#### Analysis of Two and Three dimensional Elements:

Shape functions of Triangular, Rectangular and Quadrilateral elements, different types of higher order elements, constant and linear strain triangular elements, stiffness matrix Four-Noded Tetrahedral Element (TET 4), Eight-Noded Hexahedral Element (HEXA 8), Tetrahedral elements, Hexahedral elements: Serendipity family, Hexahedral elements: Lagrange family.

### Finite element method Unit Four

#### Theory of Isoparametric Elements and Axisymmetric:

Isoparametric, sub parametric and super-parametric elements, characteristics of Isoparametric quadrilateral elements, structure of computer program for FEM analysis, description of different modules, pre and post processing, Axisymmetric formulation finite element modeling of triangular and quadrilateral element.

### Finite element method Unit Five

#### Field Problems

Heat transfer problems, Steady state fin problems, 1D heat conduction governing equation, Derivation of element matrices for two dimensional problems, Dynamic consideration- Formulation-Hamilton’s principle, Element mass matrices.

### Finite element method Course Objectives

Understand the importance of discretisation of domain using different finite elements •Acquire the knowledge of different loading and boundary conditions •Understand the governing methods of finite element analysis

### Finite element method Course Outcomes

At the end of the course the student will be able to:1.CO1: Apply discretisation technique for domain decomposition. 2.CO2 :Evaluate the effects of different loading and boundary conditions 3.CO3 : Analyze the governing equations of finite element analysis

### Finite element method Text Books

Finite Elements in engineering-Chandrupatla T. R
Finite element Analysis-Bhavikatti

### Finite element method Reference Books

Finite element analysis in engineering design-Rajasekharan. S
Finite Element Procedures-Bathe. KJ
The Finite Element Method-Zienkiewicz.
O.C
Finite Elements Method in Engineering-
Rao S. S
Finite Element analysis – Theory and Programming-C.S. Krishnamurthy