PEDLO5012: Finite Element Analysis Syllabus for PE 5th Sem 2018 Pattern Mumbai University (Department Level Optional Course-1)

Finite Element Analysis detailed syllabus scheme for Production Engineering (PE), 2018 regulation has been taken from the MU 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 5th Sem Scheme of Production Engineering (PE), 2018 Pattern, do visit PE 5th Sem Scheme, 2018 Pattern. For the Department Level Optional Course-1 scheme of 5th Sem 2018 regulation, refer to PE 5th Sem Department Level Optional Course-1 Scheme 2018 Pattern. The detail syllabus for finite element analysis is as follows.

Finite Element Analysis Syllabus for Production Engineering TE 5th Sem 2018 Pattern Mumbai University

Course Objectives:

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Course Outcomes:

Learner will be able to..

1. Solve ordinary and partial differential equations using the Galerkin method.
2. Develop the finite element equations to model engineering problems governed by 2nd order partial differential equations.
3. Apply the basic finite element formulation techniques to solve engineering problems.
4. Use commercial FEA software, to solve problems related to engineering.
5. Prepare Solutions of 2 -D Problems using FE Software.
6. Find solution techniques to Dynamic problems, longitudinal vibration, frequencies and mode shapes.

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 Modeling of field problems in Engineering, Governing Equations, Differential Equations in different fields.
3. Approximate solution of differential equations– Weighted residual techniques, Galerkin methods. 09

Module 2

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Module 3

One-Dimensional Problems

1. One Dimensional Second Order Equations Discretization-Element types-Linear and Higher order Elements -Derivation of Shape functions and Stiffness matrices and force vectors.
2. Assembly of Matrices -solution of problems in one dimensional structural analysis, heat transfer and fluid flow (Stepped and Taper Bars, Fluid Network, Spring-Cart systems)
3. Analysis of Plane Trusses, Analysis of Beams.
4. Solution of one Dimensional structural and thermal problems using FE Software, Selection of suitable Element Type, Modeling, Meshing, 10Boundary Condition, Convergence of solution, Result analysis, Case studies.

Module 4

Two Dimensional Finite Element Formulations

1. Introduction, Three nodded triangular element, four nodded rectangular element, four nodded quadrilateral element.
2. Natural coordinates and coordinates transformations: serendipity and Lagranges methods for deriving shape functions for triangular and quadrilateral element
3. Introduction to Sub parametric, Isoperimetric, super parametric elements. Compatibility, Patch Test, Convergence criterion, Sources of errors. 08

Module 5

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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.
3. Finding frequencies of beam using FE Software (Can be covered during practical hours). 05

Assessment:

Internal Assessment for 20 marks: Consisting Two Compulsory Class Tests First test based on approximately 40% of contents and second test based on remaining contents (approximately 40% but excluding contents covered in Test I) 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:

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 pdfs platform to make students’s lives easier.
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For detail Syllabus of all subjects of Production Engineering (PE) 5th Sem 2018 regulation, visit PE 5th Sem Subjects of 2018 Pattern.