JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY HYDERABAD

Pre Requisites

SA – I & SA – II

Course Objectives:

• To equip the students with the finite element analysis fundamentals.
• To enable the students to formulate the design problems into FEA.
• To introduce basic aspects of finite elements technology, including domain discretization, polynomial interpolation, application of boundary conditions, assembly of global arrays, ad solution of the resulting algebraic systems.

Course Outcomes

At the end of the course, the student will be able to:

• Develop shape functions and stiffness matrices for bar and beam elements
• To understand isoparametric formulation, static condensation etc.
• Understand the background of mathematical equations used for development of modeling software modules to develop the various structural related applications
• Identify mathematical model for solution of common engineering problems.

UNIT - I

Introduction to Finite Element Method – Basic Equations in Elasticity Stress – Strain equation – concept of plane stress – plane strain advantages and disadvantages of FEM. Element shapes – nodes – nodal degree of freedom Displacement function – Natural Coordinates – strain displacement relations.

UNIT - II

Lagrangian – Serendipity elements – Hermite polynomials – regular, Irregular 2 D & 3D – Element –shape functions upto quadratic formulation. Finite Element Analysis (FEA) of – one dimensional problems – Bar element – Shape functions stiffness matrix – stress – strain relation

UNIT - III

FEA Beam elements – stiffness matrix - shape function– Analysis of continuous beams.

UNIT - IV

FEA Two dimessional problem – CST – LST element – shape function – stress – strain. Isoparametric formulation – Concepts of, isoparametric elements for 2D analysis - formulation of CST element.

R16 B.TECH CIVIL ENGG.

UNIT - V

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

TEXT BOOK:

• 1. A first course in Finite Element Method by Daryl L. Logan, 5th Edition, Cengage Learning India Pvt. Ltd.
• 2. Introduction to finite Elements in Engineering by Tirupathi R. Chandrupatla, and Ashok D. Belegundu, Prentice Hall of India

REFERENCES:

• 1. Finite Element Analysis by P. Seshu, PHI Learning Private Limited
• 2. Concepts and applications of Finite Element Analysis by Robert D. Cook et al., Wiley India Pvt. Ltd.
• 3. Applied Finite Element Analysis by G. Ramamurty, I. K. International Publishing House Pvt. Ltd. R16 B.TECH CIVIL ENGG.