Posted On :

It is useful for solving complex structural problems. This method is possible only if a suitable functional is available. Otherwise, Galerkin’s method of weighted residual is used.

**RAYLEIGH ****–**** RITZ METHOD (VARIATIONAL APPROACH)**

It is useful for solving complex structural problems. This method is possible only if a suitable functional is available. Otherwise, Galerkin’s method of weighted residual is used.

**Problems (I set)**

1. A simply supported beam subjected to uniformly distributed load over entire span. Determine the bending moment and deflection at midspan by using Rayleigh – Ritz method and compare with exact solutions.

2. A bar of uniform cross section is clamed at one end and left free at another end and it is subjected to a uniform axial load P. Calculate the displacement and stress in a bar by using two terms polynomial and three terms polynomial. Compare with exact solutions.

**ADVANTAGES OF FINITE ELEMENT METHOD**

1. FEM can handle irregular geometry in a convenient manner.

2. Handles general load conditions without difficulty

3. Non –homogeneous materials can be handled easily.

4. Higher order elements may be implemented.

**DISADVANTAGES OF FINITE ELEMENT METHOD**

5. It requires a digital computer and fairly extensive

6. It requires longer execution time compared with FEM.

7. Output result will vary considerably.

The finite element method constitutes a general
tool for the numerical solution of partial differential equations in
engineering and applied science.

The finite element method (FEM), or finite element
analysis (FEA), is based on the idea of building a complicated object with
simple blocks, or, dividing a complicated object into small and manageable
pieces. Application of this simple idea can be found everywhere in everyday life
as well as in engineering.

Tags : Mechanical - Finite Element Analysis - Finite Element Formulation of Boundary Value Problems

Last 30 days 27 views
Related words : ### What is Rayleigh - Ritz Method (Variational Approach) Define Rayleigh - Ritz Method (Variational Approach) Definition of Rayleigh - Ritz Method (Variational Approach) where how
meaning of Rayleigh - Ritz Method (Variational Approach)
lecturing notes for Rayleigh - Ritz Method (Variational Approach) lecture notes question and answer for Rayleigh - Ritz Method (Variational Approach) answer
Rayleigh - Ritz Method (Variational Approach) study material Rayleigh - Ritz Method (Variational Approach) assignment Rayleigh - Ritz Method (Variational Approach) reference description of Rayleigh - Ritz Method (Variational Approach)
explanation of Rayleigh - Ritz Method (Variational Approach) brief detail of Rayleigh - Ritz Method (Variational Approach) easy explanation solution Rayleigh - Ritz Method (Variational Approach) wiki
Rayleigh - Ritz Method (Variational Approach) wikipedia how why is who were when is when did where did Rayleigh - Ritz Method (Variational Approach) list of Rayleigh - Ritz Method (Variational Approach) school assignment college assignment
Rayleigh - Ritz Method (Variational Approach) college notes school notes kids with diagram or figure or image difference between Rayleigh - Ritz Method (Variational Approach) www.readorrefer.in - Read Or Refer

Recent New Topics :
| Types of Training Methods | | Factors Affecting the Cost of Capital of a Firm | | Concept and Measurement of Cost of Capital | | Evaluation of Investment Proposals | | Need and importance/Nature of Investment Decision | | Valuation of Bonds and Shares | | Introduction to the Concept of Return of a Single Asset | | Objectives of Financial Management | | Causes of Accidents in Industrial | | Need of Labour welfare | | Getting it Right at Mcdonalds | | Important Short Questions and Answers: Strategic Issues | | Strategic Issues | | Important Short Questions and Answers: Strategy Implementation and Evaluation | | Strategy Implementation and Evaluation | | Important Short Questions and Answers: Strategies | | Diversification | | Diversification in the Context of Growth Strategies | | Strategies | | Important Short Questions and Answers: Competitive Advantage - Strategic Management | | Strategy formulations: Functional strategy & Strategic choice | | Competitive Advantage - Strategic Management | | Important Questions and answers: Strategic Management - Strategy and Process | | Strategy and Process | | Effective Management of small Business |