ENGT5258 Course Work II: Truss design using Finite element method - Dr K Kandan - HomeworkForYou
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ENGT5258 Course Work II: Truss design
using Finite element method
Dr K KandanFaculty of Technology - Course work Specification 2019/20
Module name Advanced Solid Mechanics
Module code ENGT5258/ENGD5258
Module leader/tutor name Dr Karthikeyan Kandan
Contact details karthikeyan.kandan@dmu.ac.uk
Title of the Assignment FEA Truss analysis
This coursework item is Summative
This summative coursework will be marked anonymously: Yes
The learning outcomes that are assessed by this coursework are:
1. To demonstrate an understanding of the concepts and principles associated with FEA.
2. To be able to generate problem-specific FEA codes using MATLAB software.
3. To apply FEA and MATLAB to obtain solution of the problems in Engineering/product design.
This coursework is Individual assignment
This coursework constitutes 30% to the overall module mark.
Date Set 26/10/2019
Date & Time Due 13/12/2019
Your marked coursework and feedback will be available to you on 11/01/2020
If for any reason this is not forthcoming by the due date your module leader
will let you know why and when it can be expected. The Head of Studies
should be informed of any issues relating to the return of marked coursework
and feedback.
Note that you should normally receive feedback on your coursework by no
later than four working weeks after the formal hand-in date, provided that
you met the submission deadline.
When completed you are required to submit your coursework to:
ENGT5258 Module Blackboard shell.
Late submission of coursework policy:
Late submissions will be processed in accordance with current University
regulations which state:
”the time period during which a student may submit a piece of work late
without authorisation and have the work capped at 40% (50% PG level) if
passed is 14 calendar days. Work submitted unauthorised more than 14
calendar days after the original submission date will receive a mark of 0%.
These regulations apply to a student’s first attempt at coursework. Work sub-
mitted late without authorisation which constitutes reassessment of a previ-
ously failed piece of coursework will always receive a mark of 0%.”
Academic Offences and Bad Academic Practices:
These include plagiarism, cheating, collusion, copying work and reuse of
your own work, poor referencing or the passing off of somebody else’s ideas
as your own. If you are in any doubt about what constitutes an academic
offence or bad academic practice you must check with your tutor. Further
information and details of how DSU can support you, if needed, is available
at:
http://www.dmu.ac.uk/dmu-students/the-student-gateway/academic-support-office/academic-offences.aspx
http://www.dmu.ac.uk/dmu-students/the-student-gateway/academic-support-office/bad-academic-practice.aspx
Tasks to be undertaken: Explain and answer the questions attached to this form.
Deliverables to be submitted for assessment: Hard copy report.
2 sheet.
How the work will be marked: According to the attached1 Objectives
1. To investigate the axial forces, stresses and strains in the structural frame-
work by experiments;
2. To develop a finite element model using MATLAB software to calculate
the nodal displacements, axial force, strain and stress in each member and
their validation with experimental results;
3. To compare some aspect of the performance of structures fabricated from
welded steel, extruded aluminium and Carbon Fibre Reinforced Plastics
(CFRP).
2 Experimental Apparatus
The structural framework made from stainless steel member is available at the
Solid Mechanics Lab QB 1.05a. A sketch of the configuration, boundary condi-
tions and loading is shown in Figure 1. Laboratory technical staff will be avail-
able during each session to assist you for performing experiments. At the end
of the lab session, you should have measured strains in each structural member
for the applied load of 500 N.
Compile your experimental results in tabulated form, refer lab sheet. You should
submit the signed lab sheet along with the final report. Failure to submit the
signed lab sheet will result in losing the marks correspond to the experimen-
tal section of this coursework. Refer manufacture guide, available in the lab, to
learn more about the structural assembly, strain and force measuring system.
3 Finite element modelling
You should model the structural framework by using the finite element method.
For this, you will use MATLAB software to write code to predict the axial forces,
stresses and strains in the structural framework as shown in Figure 1. This will
allow you to compare the experimental results.
You will also submit the MATLAB code (as an Appendix to the report) used to
model the structural framework.
3The prime characteristics of the MATLAB program should be:
1. The MATLAB code should show clearly the inputs and outputs.
2. It should include sufficient comments to explain each steps.
3. Clarity on each step involved from elemental stiffness matrix.
4. Assembly of elemental stiffness matrix.
5. Solve for nodal displacements, elemental stress & strains and forces.
AE
pinned support
AD DE EF AF
fixed support
60° AB CF
sliding support
F
140 mm
Figure 1: Truss members are made from stainless steel material having Young’s
modulus E = 210GPa and the diameter of each member is d = 5.98mm. Use this
for calculating axial strain, stress and force in each truss member for the applied
load of 500N.
44 Performance Index
Having validated your finite element program, you should be able to use the
same to compare some aspect of the performance of structures fabricated from
the material listed in the Table 1. Consider the following questions to rank the
materials according to the performance metric.
• What is the minimum diameter that will withstand the 10kN load if you
fabricate the structural members made from the materials listed in the
Table 1?
• Considering the factor of safety 3, which material you will choose for min-
imum weight design? You will need to estimate the mass of the structural
member for chosen cross-section details.
• What material you will choose for the minimum cost design?
Young’s Yield Density Cost
Modulus strength ρ per kg
3
Material E, GPa σY MPa kg/m £
304 Stainless Steel 210 215 7800 3.52
T2024 Aluminium 73 324 2780 1.67
Carbon Fibre Reinforced Plastic 80 500 1500 41.63
Table 1: Properties of the 3 different materials for performance index compari-
son for the Truss configuration shown in Figure 1.
5 Report format
The report should be concisely written and not more than 10 pages. An ideal
report contains the following sections.
1. The Title page including your name, P-number. The Summary should con-
tain a very brief resume of what you have done, why you have done it and
what you have concluded - all in not much more than 100 words.
52. An Introduction and Objectives in which you briefly explain the background
to the work to be described and justify why the investigation is worth car-
rying out. Your statement of the objectives of the experiments can be based
on the those given in the course work sheet.
3. Experimental section - there is no need to repeat all the details of the Appa-
ratus and experimental method, however, you should give a brief account
of the procedure that you are used to measure the axial strains in each
structural member. You should include the signed copy of the lab sheet as
a proof that you have carried out the experiments in the lab.
4. The best way to present the numerical data in the section on Results is in
tabular form- think about the form of the table it would be best to use:
tables, like diagrams, should be numbered and have caption to explain
what they are.
5. It is good practice to separate the presentation of results from their Discussion:
this section should include a comparison between the what you have ob-
served in the experiments, compared to what you have predicted using the
finite element method. Any significant variation should be the subject of
the comments.
6. Consider the following questions to rank the materials;
• What is the minimum diameter that will withstand the 10kN load if
you fabricate the structural members made from the materials listed
in the Table 1?
• Considering the factor of safety 3, which material you will choose for
minimum weight design? Clue - You will need to estimate the mass of
the structural member for chosen cross-section details.
• What material you will choose for the minimum cost design?
6 Assessment Criteria
1. Presentation of experimental results for stainless-steel structural mem-
bers. This should include the measured strains and calculated forces in
each structural member for the applied load of 500N. (20%)
62. A comparative analysis, in terms of axial strains and forces between the
experiments and prediction by using finite element MATLAB code. (20%)
3. Discussion about the material rankings, weighing up the advantages/dis-
advantages of each materials in terms of minimum weight and minimum
cost when considering factor of safety. (20%)
4. Conclusion about the appropriate cross-section and right material chosen
for fabricating the structural framework for each design criteria. (20%)
5. The course work report is presented in a professional manner with clear
content, introduction and all relevant sections as per the guidelines stated
in this document. (20%)
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