# GEEN1125: Finite Element Applications Assignment

GEEN1125: Finite Element Applications

Resit Coursework Questions

Start date: 11:59 pm on 6th July 2021 End Date: 11:59 pm on 17th July 2021

#### Course Tutor: Dr. Michael Okereke Email: m.i.okereke@gre.ac.uk

Phone: 01634 88 3580

Instructions

1. Answer ALL questions in this Coursework booklet
1. You have access to software at Nelson 128 laboratories where you can do this coursework. Alternatively, you can also remote log to virtual desktops which has all required software needed for this laboratory.
2. All submissions will be via Turnitin on the Course Moodle Page in the section of the portal where 2021 Coursework Resit are specified.
3. Do not email the course tutor your submissions as this will not be accepted.
1. All your solutions will be in a Microsoft Word document which you should convert to a PDF file before uploading to the Course Moodle Page.
2. Support resources are available on the Course Moodle page to help you with revising and answering these questions.

Q1.

A three-noded planar triangular truss, shown in Figure Q1, is subjected to a concentrated force, F = 10 kN at node, N2. The truss is made of a cylindrical bar of diameter, d = 3.0 mmand steel material of Young’s Modulus, E = 210 GPa. If the planar truss is fixed securely at node N1but has x- and y-axis roller supports at nodes N2and N3respectively.

Using the principles of Direct Stiffness Method, and from first principles, undertake the following calculations:

1. Determine the three-member stiffness matrices, 𝑲𝑒, 𝑲𝑒 and 𝑲𝑒 for the bars.

1 2 3

[10 marks]

1. Derive the structural stiffness matrix, KSfor this structure. [5 marks]
1. Using the appropriate boundary condition, show all the steps and then determine the displacements at nodes N2and N3. [5 marks]

Note that you must show in detail all the steps required to determine all stiffness matrices.

xX F =10kN

## [0,0] [2,0]

FigureQ1

Q2.

A two-step cylindrical bar of total length 4m is subjected to a uniaxial force, F as shown in Figure Q2. To determine its nonlinear deformation whilst reducing computational cost, you decide to develop a new element formulation based on a three-noded 1D element whose isoparametric natural coordinates are given in Figure Q2.

1. Derive the mapping function, ξ= f(x) needed to relate the xy-coordinate system to the isoparametric natural coordinates, ξ.

[2 mark]

1. Derive the element’s three shape functions, namely N1,N2and N3.

[12 marks]

1. Derive the strain-displacement matrix, Band evaluate its value when ξ=0.5.

[6 marks]

y

F

ξ

# ξ=0 ξ=0.5 ξ=1.0

FigureQ2

Q3.

A 2D dogbone specimen, whose dimensions are given in Figure Q3, is made by extrude- cutting the gauge section of an initially rectangular specimen using the insert elliptical geometry. The specimen is made from aluminium of Young’s Modulus, E = 70GPa, Poisson ratio, v=0.33, and yield stress, σyield = 220 MPa. It has both gripped and loaded ends. The test specimen is imposed with a Dirichlet uniform displacement of ΔL = 4mm. You are to undertake the mesh density study to determine the appropriate mesh for subsequent investigation.

1. Undertake tensile simulation of the specimen using seed sizes of 6,3, 0.5. Show the contour plots for plastic strain, PE for all simulations. Draw a convergence plot of Average PE versus number of elements. Comment on the implications of mesh density on simulation results. [10 marks]

ΔL = 4 mm

Gauge sect ion ext rude cut using

ellipse below

Gripped End, f ixed securely

20 mm

40 mm

20 mm

40 mm

FigureQ3A

1. In order to prescribe a kinematic constraint to a typical finite element model, Multi- Freedom Constraint (MFC) equations are required. Write the ABAQUS-style linear constraint equation for the following equations:

a. 0.5uN60  3.5uN78  2uN15  8.3uN15  3.2uN6  0.10uN54

3 2 1 3 1 2

b. uN4  3uN2  2uN5  3uN16 whereuN16 ce2uN3 buN4 ;

forc,bbeingconstants

2 1 1 2 2 3 1

[3 marks]

1. An inverted T-section support structure, of dimensions given in FigureQ4, is designed to support a central column load on the load region zone. The two end faces of the horizontal bar are fixed securely in X, Y, and Z-axes. The bar is made of steel of Young’s Modulus, E=210GPa, Poisson ratio, v= 0.33and yield stress, σyield= 220MPa.

Run a simulation of the compressive behaviour of the structure by imposing concentrated load, U = 20 mm on the structure based on the following canonical equation:

𝑈𝐿𝑅𝑆𝑒𝑡 − 2.3log10 (20)𝑈𝑅𝑃𝑆𝑒𝑡 = 0

2 2

Where LRSet and RPSet are nodal sets for load region and reference point respectively. Show contour plots for von Mises stress, Misesand in-plane shear stress, S12. [7 marks]

y z

x

125 mmFixed Face in XYZ

50 mm

200 mm

125 mmFixed Face in XYZ

50 mm

Ref erence Point

300 mm

50 mm

[- 500,- 500,- 500]

FigureQ3C,D

## Q4.

The Rochester bridge consists of arched trusses with Figure Q4 showing a segment of the bridge. The total length of the bridge deck is 140 m with the span directly over the river measured at L =100m. Assume that the bridge is made of cylindrical

trusses of steel material with Young’s Modulus, E = 210 GPa and diameter, d = 40mm. The bridge is fixed securely at nodes N1, N2with roller supports at nodes N7 and N8.

The test load case under consideration represents a traffic pile-up of sedan cars of same sizes and weights which imposes a uniformly distributed load, ω = 3000 N/macting solely on the 100-m span of the bridge. The bridge deck has a rectangular cross-section of base, b=8mand thickness, h=5m.

The Rochester Bridge Trust has announced a competition for University of Greenwich MSc engineering students to undertake a detailed structural analysis of the current design with a view to identify probable improvements to extend the lifespan of the bride.

1. Using MATFESETMsolver, undertake the FE simulation of the bridge and determine the absolute maximum displacement, 𝑣𝑛𝑢𝑚𝑒𝑟𝑖𝑐𝑎𝑙 of the bridge under the specified load case. Show contour plots of the deformed profile.

[8 marks]

1. In order to understand the benefit of the arched truss design in limiting the deflection over the 100-mspan of the bridge, calculate the deflection of the

5𝜔𝐿4

bridge without the arched trusses using the equation: 𝑣𝑎𝑛𝑎𝑙𝑦𝑡𝑖𝑐𝑎𝑙 = 384𝐸𝐼

where L=bridge span, ω = distributed load, E=Young’s Modulus, and I=

𝑏ℎ3

area moment of inertia for rectangular section, i.e. 𝐼 =

.

12

[3 marks]

1. Calculate the percentage improvement in limiting the deflection of the bridge by introducing the arched truss. Note that percentage improvement is calculated using the equation:

# %𝐼𝑚𝑝𝑟𝑜𝑣𝑒𝑚𝑒𝑛𝑡 =

𝑣𝑎𝑛𝑎𝑙𝑦𝑡𝑖𝑐𝑎𝑙 𝑣𝑛𝑢𝑚𝑒𝑟𝑖𝑐𝑎𝑙

𝑣𝑎𝑛𝑎𝑙𝑦𝑡𝑖𝑐𝑎𝑙

# × 100%

[3 marks]

1. As part of a review of your analysis, you noticed that the actual Rochester Bridge truss is made from an I-section wide-flange beam of designation W150x18 and cross-sectional area, A = 1730 mm2. What is the percentage error introduced to your simulations by assuming a solid cylindrical truss configuration of diameter, d=20mm.

[2 marks]

1. Suggest and use MATFESE to demonstrate the nature of one improvement of the bridge to ensure extended life span.

[4 marks]

N2

## Figure Q4

Q5.

A unidirectional (UD) composite consists of circular E-glass fibre material embedded within a square-shaped polypropylene matrix. The UD composite has a 20% volumefraction of fibre with fibre diameters ranging from 1.5 um to 2.52 um. We want to use the principles of computational micromechanics to determine the effective properties of the test composite in a specific test direction.

For this study, three representative volume elements (RVEs) shown in Figure Q5Awere identified. The centre locations (in μm units) of the fibres within the matrix medium are given in Table Q5A. All three RVEs have a dimension of length, L = 10 μmand width, W=10μm. The fibre radius for each RVE type are given in TableQ5A. The properties of the fibre and polypropylene constituents are given in TableQ5B.

1. Generate the virtual domains for all three RVE types ensuring that you trim off any boundary fibres to preserve the 20% volume fraction. [5 marks]
1. Undertake an FEM simulation of tensile deformation along the X-axis for all three RVE types. Since this is a micromechanical study on a heterogeneous material, you MUSTusePeriodicBoundarycondition foryouranalysis.

Show contour plots of (a) Von-Mises Stress, Mises (b) displacement magnitude, UMagnitudeand (c) plastic strain, PEfor all three RVE types.

[8 marks]

1. Determine the stress-strain (i.e. σ11vs ε11) graphs for the three RVEs showing the numerically determined Young’s Modulus, E11,numericaland Yield strength, σY,numericalof the test composite. [3 marks]
1. Determine the analytically determined Young’s Modulus of the composite

based on the formula:

𝐸𝑚𝐸𝑓

𝐸11,𝑎𝑛𝑎𝑙𝑦𝑡𝑖𝑐𝑎𝑙 = 𝐸

𝑉 + 𝐸 𝑉

𝑚 𝑓 𝑓 𝑚

Where Emand Efare Young’s Moduli of the matrix and fibre respectively; Vf and Vm are volume fractions of the fibre and matrix constituents respectively.

Compare the analytical and numerical Young’s modulus values for the three RVE types. Comment on the effect of number of fibres within the RVE window on the effective properties of the test composite. [4 mark]

## Figure Q5

TableQ5A:LocationsofFibresinthreeRVEs(inμmunits)

TableQ5B:Propertiesofinclusionsoftheunidirectionalcomposite

Get Expert help for GEEN1125: Finite Element Applications Assignment and many more. Urgent, plag free. 100% safe. Order online now

Universal Assignment (October 2, 2023) GEEN1125: Finite Element Applications Assignment. Retrieved from https://universalassignment.com/geen1125-finite-element-applications-assignment/.
"GEEN1125: Finite Element Applications Assignment." Universal Assignment - October 2, 2023, https://universalassignment.com/geen1125-finite-element-applications-assignment/
Universal Assignment July 13, 2022 GEEN1125: Finite Element Applications Assignment., viewed October 2, 2023,<https://universalassignment.com/geen1125-finite-element-applications-assignment/>
Universal Assignment - GEEN1125: Finite Element Applications Assignment. [Internet]. [Accessed October 2, 2023]. Available from: https://universalassignment.com/geen1125-finite-element-applications-assignment/
"GEEN1125: Finite Element Applications Assignment." Universal Assignment - Accessed October 2, 2023. https://universalassignment.com/geen1125-finite-element-applications-assignment/
"GEEN1125: Finite Element Applications Assignment." Universal Assignment [Online]. Available: https://universalassignment.com/geen1125-finite-element-applications-assignment/. [Accessed: October 2, 2023]

## Please note along with our service, we will provide you with the following deliverables:

Please do not hesitate to put forward any queries regarding the service provision.

We look forward to having you on board with us.

# Get 90%* Discount on Assignment Help

### Most Frequent Questions & Answers

Universal Assignment Services is the best place to get help in your all kind of assignment help. We have 172+ experts available, who can help you to get HD+ grades. We also provide Free Plag report, Free Revisions,Best Price in the industry guaranteed.

We provide all kinds of assignmednt help, Report writing, Essay Writing, Dissertations, Thesis writing, Research Proposal, Research Report, Home work help, Question Answers help, Case studies, mathematical and Statistical tasks, Website development, Android application, Resume/CV writing, SOP(Statement of Purpose) Writing, Blog/Article, Poster making and so on.

We are available round the clock, 24X7, 365 days. You can appach us to our Whatsapp number +1 (613)778 8542 or email to info@universalassignment.com . We provide Free revision policy, if you need and revisions to be done on the task, we will do the same for you as soon as possible.

We provide services mainly to all major institutes and Universities in Australia, Canada, China, Malaysia, India, South Africa, New Zealand, Singapore, the United Arab Emirates, the United Kingdom, and the United States.

We provide lucrative discounts from 28% to 70% as per the wordcount, Technicality, Deadline and the number of your previous assignments done with us.

After your assignment request our team will check and update you the best suitable service for you alongwith the charges for the task. After confirmation and payment team will start the work and provide the task as per the deadline.

Yes, we will provide Plagirism free task and a free turnitin report along with the task without any extra cost.

No, if the main requirement is same, you don’t have to pay any additional amount. But it there is a additional requirement, then you have to pay the balance amount in order to get the revised solution.

The Fees are as minimum as \$10 per page(1 page=250 words) and in case of a big task, we provide huge discounts.

We accept all the major Credit and Debit Cards for the payment. We do accept Paypal also.

### Foundations of Communication Assessment 2 Instructions

Discussion task (Total grade – 10%)   Process Work (Steps to complete the task) Answer on the Assessment 2 Submission Document – Do not upload this instruction document. Requirements (important elements to include) lastname_firstname_studentID_COMS_Assess 2_semester_year. Process for Assessment discussion tasks NOTE: If you do not participate in the class discussions then

### Assessment Two Dos and Don’ts (Internal)

Do: Read the assessment instructions carefully Read the marking rubric carefully Understand the question – break it down Conduct research – record the reference details Read the topic materials about communication theories, forms and factors and refer to them Contribute to the discussions in class or no marks for the

### Unpacking the Question: Assessment Two

Studying at university requires you to become familiar with strategies to un-pack or breakdown a variety of assessment questions/tasks throughout your studies.  Task Example of integrating the discussion, research and theories. In the group discussion my group members (name them) stated that an advertisement for a beauty product would most

### MGMT0001 Introduction to Commerce Assessment

MGMT0001 Introduction to Commerce Assessment 2 (worth 30%) Due date:                  2:00pm (AWST) Friday 15th September 2023 Submission:              Via Turnitin assessment submission link (see ‘Assessment 2’ folder in ‘Assessments’ section of Blackboard). Additional Instructions: Part A (42 marks) Nathan is a well-known chef with years of experience cooking various cuisines. After

### ACCT5011: Accounting Systems in the Digital Age

Practical Assignment Guide, Semester 2, 2023 Due Date for Submission: Monday 11th September 2023 at 5.00 PM Please note that the Folio Assignment for ACCT5011 Accounting Systems in the Digital Age is an individual assessment task worth 30% of your total marks in the unit. Please refer to the online

### EC229- Review session

Assume two cities, A and B, that can’t trade between them. Each city produces its own coconuts for its local market. If suddenly trade is possible then: D) As we saw in class, the new price will be somewhere between the original price 𝑃_𝐴,𝑃_𝐵. Hence it is impossible for consumers

### Computing Theory COSC

Computing Theory COSC 1107/1105 Assignment 1: Fundamentals Assessment Type Individual assignment. Submit online via Canvas → As- signments → Assignment 1. Marks awarded for meeting re- quirements as closely as possible. Clarifications/updates may be made via announcements/relevant discussion forums. Due Date Week 6, Sunday 27th August 2023, 11:59pm Marks 125

### BE279 Applied Statistics and Forecasting

Strategy, Operations, & Entrepreneurship Group Essex Business School Module Code BE279 Module Title Applied Statistics and Forecasting Assessment Type Individual Report (2,000 word) Academic Year 2022/23, Spring Term Submission Deadline Refer to FASER Task Specific Guidance Please note that: Module Learning Outcomes On successful completion of the module, students will

### Learning Design Tool: Little Learners Level 1 sounds

Learning Design Tool: Little Learners Level 1 sounds. Prepared by Sara Hart Date 30th August, 2023 (feel free to leave this date as it is the AT2 due date) Brief description of Learning Design   Chooseit Maker: Create, edit and play personalised learning activities that can be used in your

### HUMN1041 PEOPLE, PLACE AND SOCIAL DIFFERENCE ASSIGNMENT

HUMN1041 PEOPLE, PLACE AND SOCIAL DIFFERENCE ASSIGNMENT 1 TEMPLATE This assignment is made up of three (3) parts, plus a reference list and appendix. Marks are allocated for each section, as follows: – 1 mark Please ensure that you provide your answers in this template, and provide a Reference list

### Model 3 Launch in Australia

Client Information Company Name Tesla Contact Name   Email   Phone Number   Address Level 14, 15 Blue St. North Sydney, NSW 2060 Australia Ad link & image Project Information Project Title Model 3 Launch in Australia Project Description (100 words) Highlight the uniqueness of the car. Show the superior

### MKT10009 Marketing and the Consumer Experience

School of Business, Law and Entrepreneurship Assessment Task – Assignment 2  MKT10009 Marketing and the Consumer Experience Semester 2, 2023. Assessment Type Analytical Report Associated Unit Learning Outcomes (ULO’s) 2, 3, 4 Group or Individual task Individual Value (%) 25% Due Date Monday 20th September at 10:00 AET – Enterthis

### ASSIGNMENT – 1st Evaluation

ASSIGNMENT – 1st Evaluation Date of Submission- 4TH SEP 2023 25 MARKS COMPARATIVE PUBLIC LAW Q. You are the new Central Minister for Urban Development who is keen to make major Indian cities as smart cities. You visit different countries like USA, UK, European Countries, Japan and other developed countries

### Corporate & Financial Due Diligence Report

[Name of the company] Note: Students should keep in mind that application of legal provisions (including Securities Regulations) and analysis of the same is important. Merely putting the facts and figures won’t fetch even a decent mark. Note: Students should only mention the broad area of business. This part should

### ECON1000 S2 2023 – Marking Guidance and FAQs on GTP

Students will be marked on the extent to which they specifically answer the question and provide clear, logical, well-reasoned and sufficient explanations. Here is a summary breakdown of how marks are allocated in this GTP: Part 1 [15 marks] §  Providing relevant observations from the information provided in the articles

### ECON1000 S2 2023 – GTP Brief

ECON1000 S2 2023 – GTP Brief A.  Context and Overview The Game Theory Presentation (GTP) is worth 30% of the final mark. GTP is a ‘take-home’ exercise with a set of tasks to do. The GTP is based on Lecture Topics: L1 and L2. You will have twenty (21) days

### Order #35042 Human Rights Research Essay

Draft due 26th Aug 2,500 words (excluding references and bibliography) Instructions: Structure: Title – The Tigray War: A Critical Analysis of What the Future Holds for Human Rights in the Region What can be done to ensure human rights violations will cease and be prosecuted? Expand on different actors and

### PMC1000: Applied Pathology

Assessment Task Sheet: Poster Presentation Date: Thursday 31st August 2023 | Weighting: 30% Assessment Task 2 You are required to develop a handout style resource (pamphlet or brochure) on a selected pathological condition which is aimed at first year student paramedics. You will need to use high quality peer reviewed

### Identify a current and topical public health ethical issue

Task Details You are required to identify a current and topical public health ethical issue in the workplace (if you work within a public health setting) or in a selected community and a plan of action to address the issue and submit it in Moodle as a Power Point presentation. The

### Detailed Information: Reflective Assignment

Indigenous Peoples, Law and Justice Detailed Information: Reflective Assignment Due Date:                   Tuesday 5th September 2023 at 4:00 pm (AWST). Marks:                       30% of the total marks for this unit. Assignment:              The assignment will comprise two questions. Students must answer all parts of both questions. Examinable topics: The cultural immersion exercise and/or

### Indigenous Peoples, Law and Justice

Indigenous Peoples, Law and Justice Reflective Assignment Questions Instructions: The assignment comprises two questions. Students must answer all parts of both questions. Question 1: The proposed Referendum Question is asking Australians whether the Voice should be established. What is meant by the Voice? In May 2019, Professor Anne Twomey, an

### Cultural immersion activity

Context of Carrolup To support fellow Australian and truth telling. Third space = a spiritual an mental place, meeting point of many cultures all over the world to communicate and feel safe to merge thought and aspects of everyone’s individual culture to create a sense of what they want the

### High-Fidelity Mockup Design for a Employer / Company  Review Platform

Demo Task: High-Fidelity Mockup Design for a Employer / Company  Review Platform Project Overview: You are tasked with designing high-fidelity mockups for a  Employer / Company  review platform that serves both employers and employees/users. The platform’s goal is to provide a space where employees can share their experiences and opinions

### IMPLEMENT AND MONITOR ENVIRONMENTALLY SUSTAINABLE WORK PRACTICES

ASSESSMENT COVER SHEET (Please ensure this cover sheet is completed and attached on top of each assessment) QUALIFICATION CODE AND TITLE:  Certificate IV in Commercial Cookery UNIT CODE: BSBSUS401               TITLE: IMPLEMENT AND MONITOR ENVIRONMENTALLY SUSTAINABLE WORK PRACTICES               Student Number   Student Name   Assessor Name   Assessment Name and

### Data Analysis and Findings

Qualitative data analysis technique called thematic analysis includes reading the data collection and looking for patterns in the meaning of the data to determine the theme. Making sense of the data is an active reflexive process in which the researcher’s personal experience is important. On Instagram, though, any company can

### PHE5STL: Systems Thinking and Leadership

Assessment 2: Complex problem briefing paper instructions and submission link PHE5STL: Systems Thinking and Leadership Assessment 2: Complex, or messy, problem briefing paper Assignment type Briefing paper/policy advising paper Weighting 20% Word count / length 1,500 words Note: The word count does not included references however does include in-text citations

### Assessment 1 Week-6: UML Modelling for a shopping mall

Assessment 1(    ) Information and Rubric Subject Code  ICT505 Subject Name  Software Development Assessment Number and Title  Assessment 1 Week-6: UML Modelling for a shopping mall Assessment Type Lab Activity Length / Duration  45 Minutes Weighting %  10% Total Marks  100 Submission Online Submission Due Date Week-6 (Sunday 23:59) Mode

### The Geopolitical, Economic and Legal Environment

Faculty of Business and Law Assignment Brief Mode E and R Regulations Module Title: The Geopolitical, Economic and Legal Environment     Assignment Number 2 Module Code: 7010SSL   Assignment Title Macro Analysis Report Module Leader: Dr. Bentil Oduro   Assignment Credits 10           Release Date:

### Paragraph Template: TEEL Structure

With this example from the discussion board, you can see Courtney answered the question with all four elements very clearly. This gives a coherent answer using different kinds of information and academic integrity. Bias is a natural behaviour of tendency to be in favour or against something in particular. From