ENGR 3020 Numerical Methods in Engineering

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Credit Points 10

Legacy Code 300488

Coordinator Haiping Zhu Opens in new window

Description The finite element method is a powerful numerical tool for analysing a wide range of engineering problems. The objective of this unit is to introduce the basic and fundamental principles of the finite element techniques by primarily focusing on their applications in the area of structural, solid and soil mechanics.

School Eng, Design & Built Env

Discipline Other Engineering And Related Technologies

Student Contribution Band HECS Band 2 10cp

Check your HECS Band contribution amount via the Fees page.

Level Undergraduate Level 3 subject

Pre-requisite(s) MATH 1019 AND
MECH 2003

Learning Outcomes

On successful completion of this subject, students should be able to:

Apply the basic principles of finite element theory to analyse the mechanical behaviours of beams, trusses, frames and 2D plane stress and plane strain problems;
Formulate finite element algebraic equations for elasticity;
Explain the workings and limitations of commercial finite element packages;
Apply finite element programs to solve practical engineering problems.

Subject Content

Constitutive stress-strain relationships in elasticity
Strain-displacement relationship
Potential energy in elastic body
Principle of minimum potential energy
Finite element method for bar, beam, frame and truss analysis
Governing equations of elasticity
Shape functions
Plane analysis
Two dimensional and axisymmetric finite element analysis
Linear triangular element,
Four noded quadrilateral element
Higher order elements (six-noded triangle and 8-noded quadrilateral Element)
Solver appreciations
Constraints and pressure loadings
Stress and strain results
Sources of errors

Assessment

The following table summarises the standard assessment tasks for this subject. Please note this is a guide only. Assessment tasks are regularly updated, where there is a difference your Learning Guide takes precedence.

Item	Length	Percent	Threshold	Individual/Group Task
Numerical Problem Solving	20 mins for each tutorial quiz, and 45 mins for each practical quiz	40	N	Individual
Numerical Problem Solving	1 hour each	5	N	Individual
Final Exam	2 hours	55	N	Individual