 # 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.

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### Finite element methods Unit One

#### Introduction:

Concepts of FEM –Steps involved –merits & demerits –energy principles –Discretization –Rayleigh –Ritz method of functional approximation. Principles of Elasticity: Equilibrium equations –strain displacement relationships in matrix form –Constitutive relationships for plane stress, plane strain and Axi-symmetric bodies of revolution with axi-symmetric loading.

### Finite element methods Unit Two

One Dimensional & Two Dimensional Elements: Stiffness matrix for bar element –shape functions –1D and 2D elements –types of elements for plane stress and plane strain analysis –Displacement models –generalized coordinates –shape functions –convergent and compatibility requirements –Geometric invariance –Natural coordinate system –area and volume coordinates

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

Element stiffness matrix: Generation of element stiffness and nodal load matrices for 3-node triangular element and four -noded rectangular elements.

### Finite element methods Unit Four

Iso-parametric Formulation: Iso-parametric elements for 2D analysis –formulation of CST element, 4 –noded and 8-noded iso-parametric quadrilateral elements –Lagrangian and Serendipity elements.AXI-SYMMETRIC ANALYSIS: Basic principles-Formulation of 4-noded iso-parametric axi-symmetric element.

### Finite element methods Unit Five

Solution techniques: Numerical Integration, Static condensation, assembly of elements and solution techniques for static loads.

### Finite element methods Course Objectives

These are To introduce fundamentals of elasticity and steps involved in FEM. To describe element stiffness matrix formulation for 1D and 2D cases.To impart isoparametric formulation concepts.To teach formulation of stiffness matrix for axi-symmetric problems.To demonstrate numerical solution techniques used in FEM.

### Finite element methods Course Outcomes

Upon completion of the course, the student will be able to●Develop finite element formulations of 1D & 2D problems.
●Solve complex problems using FEM.
●Formulate isoparametric elements with different irregular boundaries.
●Implement solution techniques for higher order problems in practice.
●Apply concepts for carrying out research.
●Apply concepts for modeling of non-linear materials and geometry.

### Finite element methods Text Books

1.Tirupathi R Chandraputla, “Finite Element Analysis for Engineering and Technology”, Universities Press Pvt Ltd, Hyderabad. 2003.
2.C. S. Krishna Murthy,“Finite Element analysis-Theory & Programming”, Tata Mc.Graw Hill Publishers.

### Finite element methods Reference Books

1.H.V. Lakshminaryana, “Finite element analysis and procedures in engineering”, 3rdedition, Universities press, Hyderabad. 2.Robert D. Cook, Michael E Plesha, Concepts and applications of Finite Element Analysis, John Wiley & sons Publications
3.S. Rajasekharan, “Finite element analysis in Engineering Design”, S. Chand Publications, New Delhi.

### Scoring Marks in Finite element methods  