MEC603: Finite Element Analysis Syllabus for ME 6th Sem 2018 Pattern Mumbai University

Finite Element Analysis detailed syllabus scheme for Mechanical Engineering (ME), 2018 regulation has been taken from the University of Mumbai official website and presented for the Bachelor of Engineering students. For Course Code, Course Title, Test 1, Test 2, Avg, End Sem Exam, Team Work, Practical, Oral, Total, and other information, do visit full semester subjects post given below.

For all other Mumbai University Mechanical Engineering 6th Sem Syllabus 2018 Pattern, do visit ME 6th Sem 2018 Pattern Scheme. The detailed syllabus scheme for finite element analysis is as follows.

Finite Element Analysis Syllabus for Mechanical Engineering TE 6th Sem 2018 Pattern Mumbai University

Course Objectives:

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Course Outcomes:

Learner will be able to

1. Solve differential equations using weighted residual methods
2. Develop the finite element equations to model engineering problems governed by second order differential equations
3. Apply the basic finite element formulation techniques to solve engineering problems by using one dimensional elements
4. Apply the basic finite element formulation techniques to solve engineering problems by using two dimensional elements
5. Apply the basic finite element formulation techniques to find natural frequency of single degree of vibration system
6. Use commercial FEA software, to solve problems related to mechanical engineering

Module 1

Introduction:

1. Introductory Concepts: Introduction to FEM, Historical Background, General FEM procedure, Applications of FEM in various fields Advantages and disadvantages of FEM
2. Mathematical Modelling of field problems in engineering, Governing equations, Differential equations in different fields
3. Approximate solution of differential equations, Weighted residual techniques, Boundary value problems 08

Module 2

FEA Procedure:

1. Discrete and Continuous Models, Weighted Residual Methods – Ritz Technique- Basic Concepts of the, Finite Element Method
2. Definitions of various terms used in FEM like element, order of the element, internal and external node/s, degree of freedom, primary and secondary variables, boundary conditions.
3. Minimization of a functional, Principle of minimum total potential, Piecewise Rayleigh-Ritz method, Formulation of ‘stiffness matrix’, transformation and assembly concepts 08

Module 3

For the complete Syllabus, results, class timetable, and many other features kindly download the iStudy App
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Module 4

Two Dimensional Finite Element Formulations:

1. Introduction, three node triangular element, four node rectangular element, four node quadrilateral element, eight node quadrilateral element
2. Natural coordinates and coordinates transformations: serendipity and Lagranges methods for deriving shape functions for triangular and quadrilateral element
3. Sub parametric, Isoparametric, super parametric elements, Compatibility, Patch test, Convergence criterion, sources of errors 08

Module 5

Two Dimensional Vector Variable Problems:

1. Equations of elasticity – Plane stress, plane strain and axisymmetric problems
2. Jacobian matrix, stress analysis of CST and four node Quadratic element 08

Module 6

Finite Element Formulation of Dynamics and Numerical Techniques:

1. Applications to free vibration problems of rod and beam, Lumped and consistent mass matrices
2. Solutions techniques to Dynamic problems, longitudinal vibration frequencies and mode shapes, Fourth order beam equation, transverse deflections and natural frequencies of beams 06

Assessment:

For the complete Syllabus, results, class timetable, and many other features kindly download the iStudy App
It is a lightweight, easy to use, no images, and no pdf platform to make students’s lives easier.
.

End Semester Examination:

Weightage of each module in end semester examination will be proportional to number of respective lecture hours mentioned in the curriculum.

1. Question paper will comprise of total six questions, each carrying 20 marks
2. Question 1 will be compulsory and should cover maximum contents of the curriculum
3. Remaining questions will be mixed in nature (for example if Q.2 has part
   1. from module 3 then part
   2. will be from any module other than module 3 )
4. Only Four questions need to be solved

Reference Books:

1. Text book of Finite Element Analysis by Seshu P, Prentice Hall of India
2. Finite Element Method by JNReddy, TMH
3. ‘Introduction to Finite Elements in Engineering, Chandrupatla and Belegundu,Pearson Education
4. Finite Element Methods by R Dhanraj and K Prabhakaran Nair, Oxford University Press
5. A first course in Finite Element Method by Logan D L, Thomson Asia PvtLtd
6. ‘Concepts and Applications of Finite Element Analysis by Cook R D, Malkus D S, Plesha ME, John-Wiley Sons
7. The Finite Element Method in Engineering by SSRao, Butter WorthHeinemann
8. Fundamental Finite Element Analysis and Application with Mathematica and MATLAB Computations by M. Asghar Bhatti, Wiley India Pvt. Ltd.

For detail syllabus of all other subjects of Mechanical Engineering (ME) 6th Sem 2018 regulation, visit ME 6th Sem Subjects syllabus for 2018 regulation.