sc JNTUA B.TECH R 19 4-1 Syllabus For Finite element methods PDF 2022 – Cynohub

# JNTUA B.TECH R 19 4-1 Syllabus For Finite element methods PDF 2022

### Get Complete Lecture Notes for Finite element methods on Cynohub APP  You will be able to find information about Finite element methods 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 methods after reading this blog. Finite element methods has 5 units altogether and you will be able to find notes for every unit on the CynoHub app. Finite element methods 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 methods are mentioned below in detail. If you are having a hard time understanding Finite element methods 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 methods Unit One

Introduction to finite element methods for solving field problems, Stress and equilibrium, Boundary conditions, Strain-Displacement relations, Stress-strain relations for 2D and 3D Elastic problems.Potential energy and equilibrium, The Rayleigh-Ritz method, Formulation of Finite Element Equations.One dimensional problems: Finite element modeling coordinates and shape functions. Assembly of global stiffness matrix and load vector. Finite element equations, Treatment of boundary conditions, Quadratic shape functions.

### Finite element methods Unit Two

Analysis of trusses: Stiffness Matrix for plane truss element. Stress Calculations and Problems.Analysis of beams: Element Stiffness Matrix for two noded, two degrees of freedom per node beam element and simple problems.

### Get Complete Lecture Notes for Finite element methods on Cynohub APP  ### Finite element methods Unit Three

Finite element modeling of two dimensional stress analysis -constant strain triangles-quadrilateral element-treatment of boundary conditions. Estimation of load Vector, Stresses.Finite element modeling of Axi-symmetric solids subjected to axi-symmetric loading with triangular elements.Two dimensional four nodedIsoparametric elements and problems.

### Finite element methods Unit Four

Steady state heat transfer analysis: One dimensional analysis of slab and fin, two dimensional analysis of thin plate. Analysis of a uniform shaft subjected to torsion loading.

### Finite element methods Unit Five

Dynamic analysis: Formulation of finite element model,element –mass matrices,evaluation of Eigen values and Eigen vectors for a stepped bar truss.3D Problems:Finite Element formulation-Tetrahedron element-Stiffness matrix.

### Finite element methods Course Objectives

●Familiarize basic principles of finite element analysis procedure.
●Explain theory and characteristics of finite elements that represent engineering structures.
●Apply finite element solutions to structural, thermal, dynamic problem.
●Learn to model complex geometry problems and solution techniques.

### Finite element methods Course Outcomes

Upon successful completion of this course you should be able toUnderstand the concepts behind variational methods and weighted residual methods in FEM. Identify the application and characteristics of FEA elements such as bars, beams, and isoparametric elements, and 3-D element. Develop element characteristic equation procedure and generation of global stiffness equation will be applied. Ableto apply Suitable boundary conditions to a global structural equation, and reduce it to a solvable form. Able to identify how the finite element method expands beyond the structural domain, for problems involving dynamics, heat transfer and fluid flow.

### Finite element methods Text Books

1.Chandraputla, Ashok &Belegundu,“Introduction to Finite Element in Engineering”,Prentice Hall.
2.S.S.Rao, “The Finite Element Methods in Engineering”,2ndEdition,Elsevier Butterworth -Heinemann 2011.

### Finite element methods Reference Books

1.J N Reddy, “An introduction to the Finite Element Method”, McGraw –Hill, New York, 1993.
2.R D Cook, D S Malkus and M E Plesha, “Concepts and Applications of Finite Element Analysis”, 3rdEdition, John Wiley, New York, 1989.3.K J Bathe, “Finite Element Procedures in Engineering Analysis”, Prentice-Hall, Englewood Cliffs,1982.
4.T J R Hughes, “the Finite Element Method, Prentice”, Hall, Englewood Cliffs, NJ, 1986.
5.C Zienkiewicz and R L Taylor, “the Finite Element Method”, 3rdEdition. McGraw-Hill, 1989.

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