ST4203 Finite Element Analysis in Structural Engineering Syllabus:
ST4203 Finite Element Analysis in Structural Engineering Syllabus – Anna University PG Syllabus Regulation 2021
OBJECTIVE:
To make the students understand the basics of the Finite Element Technique, and to cover the analysis methodologies for 1-D, 2-D and 3-D Structural Engineering problems.
UNIT I INTRODUCTION
Introduction – Basic Concepts of Finite Element Analysis – Introduction to Elasticity- Steps in Finite Element Analysis – Finite Element Formulation Techniques – Virtual Work and Variational Principle – Galerkin Method – Finite Element Method: Displacement Approach – Stiffness Matrix and Boundary Conditions
UNIT II ELEMENT PROPERTIES
Natural Coordinates – Triangular Elements-Rectangular Elements – Lagrange and Serendipity Elements – Solid Elements – Isoparametric Formulation – Stiffness Matrix of Isoparametric Elements Numerical Integration: One, Two and Three Dimensional – Problems
UNIT III ANALYSIS OF FRAME STRUCTURES
Stiffness of Truss Members-Analysis of Truss-Stiffness of Beam Members-Finite Element Analysis of Continuous Beam-Plane Frame Analysis-Analysis of Grid and Space Frame
UNIT IV TWO AND THREE DIMENSIONAL SOLIDS
Constant Strain Triangle – Linear Strain Triangle – Rectangular Elements- Numerical Evaluation of Element Stiffness – Computation of Stresses, Geometric Nonlinearity and Static Condensation – Axisymmetric Element – Finite Element Formulation of Axisymmetric Element – Finite Element Formulation for 3 Dimensional Elements- Problems
UNIT V APPLICATIONS OF FEM
Introduction to Plate Bending Problems – Finite Element Analysis of Thin Plate – Finite Element Analysis of Thick Plate – Finite Element Analysis of Skew Plate -Introduction to Finite Strip Method – Finite Element Analysis of Shell -Finite Elements for Elastic Stability – Dynamic Analysis
OUTCOMES:
On completion of the course, the student is expected to be able to
CO1 Formulate a finite element problem using basic mathematical principles
CO2 Explain the various types of elements and select the appropriate element for modelling
CO3 Analyse a frame using truss element
CO4 Formulate and analyse the two- and three-dimensional solid finite element problems
CO5 Analyse shells, thick and thin plates and explain the dynamic analysis using FEM
REFERENCES:
1. David Hutton, “Fundamentals of Finite Element Analysis”, Tata McGraw Hill Publishing Company Limited, New Delhi, 2017.
2. Logan D. L,A First Course in the Finite Element Method, Thomson- Engineering, 3rd edition, 2010.
3. Zienkiewicz, O.C. and Taylor, R.L., “The Finite Element Method”, Seventh Edition, McGraw – Hill, 2013.
4. Chandrupatla, R.T. and Belegundu, A.D., “Introduction to Finite Elements in Engineering”,
Fourth Edition, Prentice Hall of India, 2015.
5. Moaveni, S., “Finite Element Analysis Theory and Application with ANSYS”, Prentice Hall Inc., 2020.