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2010/1 Module Catalogue
 Module Code: ENG3072 Module Title: ENERGY METHODS IN STRESS ANALYSIS
Module Provider: Mechanical, Medical & Aero Engineering Short Name: SE3307
Level: HE3 Module Co-ordinator: CROCOMBE AD Prof (M, M & A Eng)
Number of credits: 10 Number of ECTS credits: 5
 
Module Availability
Spring Semester
Assessment Pattern

Unit(s) of Assessment

 

 

 

 
Weighting Towards Module Mark( %)

 

Examination

 

 

 

 

80

 

 

 

 

Tutorial assessment

 

 

 

 

20

 

 

 

 

Qualifying Condition(s) 

 

 

 

 

A weighted aggregate mark of 40% is required to pass the module

 

 

 

 

 

 

 

 

 

 

 

 
Module Overview

As engineers it Is important to avoid structure or component failure due to overloading or excessive deflection and stress analysis is the way of assessing such conditions. Many structures, components and forms of loading are too complex to obtain exact solutions for. In such cases Energy methods can often be used to provide approximate solutions, enabling the engineer to carry our structural assessment. The most commonly used energy method is finite element stress analysis. The module shows how energy methods can be used to find the response of structural systems to static loads.

Prerequisites/Co-requisites
Completion of Modules ENG2026 and (ENG2032 or ENG2033)
Module Aims


To provide an awareness of the role of energy principles generally and finite element stress analysis in particular in determining approximate solutions for complex structural problems
Learning Outcomes

Upon successful completion of the module, you will be able to: estimate, by hand calculation, the response of rectangular plates to both lateral and in-plane loading. Further, they should understand and be able to apply finite element principles to obtain the strength and stiffness of an arbitrary structure.
Module Content

Energy theorems:                  

 

 

Method virtual forces and displacements

 

 

Theorem of stationary total potential energy

 

 

 

 

Deflection of beams:

 

 

Strain and potential energy in terms of deflection

 

 

Choice of suitable deflected shapes for various end conditions

 

 

Solutions for constant and stepped section beams

 

 

 

 

Deflection of plates:

 

 

Moment and torque-deflection-stress relationships

 

 

Strain energy expression for plate in terms of deflections

 

 

Solution of different types of planar edge boundary conditions

 

 

 

 

Buckling of beams and plates:          

 

 

Beams

 

 

In-plane energy terms

 

 

Plates

 

 

 

 

Finite element principles:                   

 

 

Outline

 

 

 

 

Bars beams and plane continuum problems:

 

 

Shape functions, element and global stiffness matrices

 

 

Forces and constraints 
Numerical integration

Methods of Teaching/Learning

22 hrs lectures, 11 hrs tutorials, 2 hrs examination and 65 hours independent learning time.

 

 

Total student learning time 100 hours
Selected Texts/Journals

Recommended reading

 

 

Astley, Finite Elements in Solids and Structures, Chapman & Hall.

 

 

Cook et al, Concepts and Applications of Finite Element Analysis, Wiley.

 

 

Fagan, Finite Element Analysis: theory and practice, Longman.

 

 

Vinson, The Behaviour of Plates and Shells, Wiley.

 

 

Ross CTF, FEM in Structural Mechanics, Ellis Horwood.

 

 

Essential reading

 

 

None

 

 

Required reading

 

 

None
Last Updated

30/9/10