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| Module Availability |
| Spring Semester |
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| Assessment Pattern |
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Unit(s) of Assessment
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Weighting Towards Module Mark( %)
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Examination
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80
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Tutorial assessment
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20
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Qualifying Condition(s)
A weighted aggregate mark of 40% is required to pass the module
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| 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. |
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| Prerequisites/Co-requisites |
| Completion of Modules ENG2026 and (ENG2032 or ENG2033) |
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| 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
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| 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. |
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| 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 |
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| 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 |
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| 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 |
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| Last Updated |
30/9/10 |
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