Finite Element Modelling and Analysis detailed Syllabus for Automobile Engineering (AUTO), 2018 scheme has been taken from the VTUs official website and presented for the VTU students. For Course Code, Subject Names, Teaching Department, Paper Setting Board, Theory Lectures, Tutorial, Practical/Drawing, Duration in Hours, CIE Marks, Total Marks, Credits and other information do visit full semester subjects post given below. The Syllabus PDF files can also be downloaded from the official website of the university.
For all other VTU AUTO 7th Sem Syllabus for BE 2018 Scheme, do visit VTU AUTO 7th Sem Syllabus for BE 2018 Scheme Subjects. The detailed Syllabus for finite element modelling and analysis is as follows.
Course Objectives:
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Module 1
Introduction: Equilibrium equations in elasticity subjected to body force, traction forces, and stress-strain relations for plane stress and plane strains. Boundary conditions, Matrix algebra, Gaussian elimination method, Eigen values and Eigen vectors. Basic Procedure: Euler-Lagrange equation for bar, beam (cantilever /simply supported fixed) Principle of virtual work, principle of minimum potential energy, Raleigh’s Ritz method.
Module 2
Basic Procedure: Direct approach for stiffness matrix formulation of bar element. Galerkin’s method. Discretization of Structure: Steps in FEM, discritization process, element types-one, two, three and axisymmetric elements, Interpolation polynomials, shape functions: for one dimensional linear element, quadratic and cubic elements, shape functions in natural coordinates, Convergence requirements, selection of the order of the interpolation polynomial, Pascal triangle. Application and limitations of FEM.
Module 3
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Module 4
Higher order and Iso-parametric Elements: Lagrangian interpolation, Higher order one dimensional elements- quadratic, cubic elements and their shape functions, properties of shape functions, shape functions for 2D quadratic triangular element in natural coordinates, 2D quadrilateral element shape functions- linear, quadratic, shape function of beam element. Hermiteshape function of beam element.
Module 5
Beams: Hermite shape functions for beam element, Derivation of stiffness matrix. Numerical problems of beams carrying concentrated, UDL and linearly varying loads. Heat Transfer: Steady state heat transfer, 1D heat conduction governing equations. Functional approach for heat conduction. Galerkin’s approach for heat conduction. 1D heat transfer in thin fins.
Course Outcomes:
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Question paper pattern:
- The question paper will have ten full questions carrying equal marks.
- Each full question will be for 20 marks. There will be two full questions (with a maximum of four sub- questions) from each module.
Text Books:
- Finite Elements in Engineering T. R. Chandrupatla, A. D. Belegunde PHI. 3rd Ed
- Finite Element Method in Engineering S. S. Rao 4th Edition, Elsevier, 2006.
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..
For detail Syllabus of all other subjects of BE 7th Sem Automobile Engineering, visit (AUTO) 7th Sem Syllabus Subjects.
For all (CBSE & Non-CBSC) BE results, visit VTU BE all semester results direct links.