JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY HYDERABAD

Pre-Requisites

SA – I & SA – II

Course Objectives

The subject provides introduction to finite element methods to analyse structural

elements

Course Outcomes

At the end of the course the student will able to Anslyse simple structrual elements

using Finite Element approach

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

UNIT - V

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

TEXT BOOKS:

• 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

REFERENCE BOOKS:

• 1. Finite Element Aanalysis 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.