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2010/1 Module Catalogue
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( %)












Tutorial assessment










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.

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:          






In-plane energy terms








Finite element principles:                   








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






Required reading




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