Exam (elaborations)
Official Exam Paper January 2024 - Engineering (EMS602U)
- Institution
- Queen Mary, University Of London (QMUL)
Official Exam Paper January 2024 for EMS602U - Simulation Tools in Engineering Analysis and Design
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Main sitSchool of Engineering and Materials Science
EMS602U Simulation tools in Engineering Analysis and Design
This test takes 2h hours to complete. You have an additional 30 min window to submit your answers.
Do not leave your submission to the last minute as extensions will not be given. Missing the submission
deadline will result in a mark of zero
Answer ALL Questions
Assessment Instructions
• Answers should be written legibly by hand or word-processed. All text, sketches and mathematics should be
integrated into a single document, and submitted as a pdf.
• Include a cover page (first page), detailing your student number, and the module code and name.
• If you have a DDS (Disability & Dyslexia Service) cover sheet, include a scanned copy of that as the second
page of your submission.
During the assessment
• Your submission must be your own work, and you must not break any of the rules in
the Academic Misconduct Policy. Do not collude with others. Do not ask anyone else to
answer the questions for you. All such activities are expressively forbidden. You must
answer questions entirely independently.
• Please be aware that:
1. All submissions will be subject to inspection for plagiarism and use of external tutoring support.
Detection of such activity will constitute an assessment o↵ence.
2. We will viva a percentage of students after each assessment to discuss the answers they have provided
as confirmation that this is your own work.
• Any assessment o↵ence will be referred to the Academic Registrar for consideration by the Chair of the
Academic Misconduct Panel, and may subsequently lead to severe penalties, including expulsion.
• Please ensure that you read the question rubric (above) carefully, and answer all the questions that you are
expected to. Make sure it is clear which answer refers to which question.
• Ensure that you delete anything that you do not wish to be marked before submission.
• Any question regarding the assessment should be directed to the QMPlus module forum. We will sta↵ these
during UK working hours, so you can always expect an answer within 24 hours but may already find the
answer to your question within the forum posts. We will only help with queries around clarity of the
question paper and will not provide any guidance on the answers.
Submitting the assessment
• Submit your answer as a single pdf document using the submission point on the QMPlus module page.
Your filename should be the module code plus your student number. Leave yourself plenty of time for the
upload.
• In case of difficulties with the upload, please email your submission to
before the submission deadline, putting the module code and your student number in the email subject line.
Examiners:
Dr. A. Buchan
Dr. J.-D. Müller
© Queen Mary, University of London, January 2024 Semester A Examination
, Page 2 EMS602U Main sit (January 2024 Semester A Examination)
Question 1
Consider the truss made of 2 bars with lengths 1 m, orientated in the structure shown in Figure 1. The
two bars have the same cross-sectional areas A = 5·10 4 m2 and modulus of elasticity E = 2·1011 N/m2 .
A force of F1,x = 10 kN is applied in the x-direction at node 1.
Figure 1: Truss assembly formed of two bars. Nodes and bars are numbered, with bars numbered
with underlines.
a) Using the numbering system of nodes and bars shown in Figure 1, state the 2 local sti↵ness matrices
for each bar and combine these into a global sti↵ness system for all nodal displacements of the
truss. Use the matrix system given in Eq. 1 below relating the local displacements of a single bar
to the local forces applied to its nodes.
8 9 2 2 38 9
>
> fix >
> C CS C2 CS > > ui >>
< = AE 6 2 2 7< =
fiy 6 CS S CS S 7 v i
= (1)
>
> fjx >
> L 4 C2 CS C 2 CS 5 > > uj >>
: ; : ;
fjy CS S 2 CS S2 vj
Here C = cos(✓) and S = sin(✓), where ✓ is the angle of orientation of the bar.
[10 marks]
b) Apply the boundary conditions and specified forces to your global sti↵ness system of equations
and solve for the displacements.
[10 marks]
c) What is the force required on node 1 for the displacement of the node 1 to be u1 = 1·10 4 m and
v1 = 0 m.
[5 marks]
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