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.

Y

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

Loaded End, wit h prescribed

load, ΔL

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]

Load Region

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)


Radius=1.26μmRadius=1.00μmRadius=0.75μm
S/NoRVE 1RVE2RVE3

XYXYXY
1558.68.99.15.3
2

5.18.81.18.3
3

5.91.53.42.9
4

2.04.17.50.1
5

7.93.26.05.3
6

1.11.47.37.1
7



7.82.9
8



4.00.6
9



1.01.3
10



7.510.1
11



4.010.6

TableQ5B:Propertiesofinclusionsoftheunidirectionalcomposite

MaterialYoung’sModulus, E [GPa]Poissonratio, νYieldstress,y [MPa]Plasticstrain,p
Glass fibre particles730.20

Polypropylene1.3080.40400.00
Order Now

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

Universal Assignment (November 2, 2024) GEEN1125: Finite Element Applications Assignment. Retrieved from https://universalassignment.com/geen1125-finite-element-applications-assignment/.
"GEEN1125: Finite Element Applications Assignment." Universal Assignment - November 2, 2024, https://universalassignment.com/geen1125-finite-element-applications-assignment/
Universal Assignment July 13, 2022 GEEN1125: Finite Element Applications Assignment., viewed November 2, 2024,<https://universalassignment.com/geen1125-finite-element-applications-assignment/>
Universal Assignment - GEEN1125: Finite Element Applications Assignment. [Internet]. [Accessed November 2, 2024]. Available from: https://universalassignment.com/geen1125-finite-element-applications-assignment/
"GEEN1125: Finite Element Applications Assignment." Universal Assignment - Accessed November 2, 2024. 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: November 2, 2024]

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.

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.

Popular Assignments

ECON20001 Assignment #2

Assignment #2 Due Monday September 30th 2pm AEST The assignment is marked out of 25 points. The weight for each part is indicated following the question text. Style requirements: This assignment requires the submission of a spreadsheet. Please keep THREE decimal places in your answers and include your spreadsheet as

Read More »

RES800 Assessment 1 – Research Question and Literature Review

Subject Title Business Research Subject Code RES800 Assessment Title Assessment 1 – Research Question and Literature Review Learning Outcome/s     Utilise critical thinking to analyse managerial problems and formulate relevant research questions and a research design   Apply research theories and methodologies to assist in developing a business research

Read More »

Assessment Task 2 Health advocacy and communication plan

Assessment Task 2 Health advocacy and communication plan Rationale and multimedia plan presentation Submission requirements Due date and time:         Rationale: 8pm AEST Monday 23 September 2024 (Week 11) Multimedia plan presentation: 8pm AEST Monday 30 September 2024 (Study Period) % of final grade:         50% of overall grade Word limit: Time

Read More »

MLI500 Leadership and innovation Assessment 1

Subject Title Leadership and innovation Subject Code MLI500 Assessment Assessment 1: Leadership development plan Individual/Group Individual Length 1500 words Learning Outcomes LO1 Examine the role of leaders in fostering creativity and innovation LO5 Reflect on and take responsibility for their own learning and leadership development processes Submission   Weighting 30%

Read More »

FPC006 Taxation for Financial Planning

Assignment 2 Instructions Assignment marks: 95 | Referencing and presentation: 5 Total marks: 100 Total word limit: 3,000 words Weighting: 40% Download and use the Assignment 2 Answer Template provided in KapLearn to complete your assignment. Your assignment should be loaded into KapLearn by 11.30 pm AEST/AEDT on the wdue

Read More »

TCHR5001 Assessment Brief 1

TCHR5001 Assessment Brief 1 Assessment Details Item Assessment 1: Pitch your pedagogy Type Digital Presentation (Recorded) Due Monday, 16th September 2024, 11:59 pm AEST (start of Week 4) Group type Individual Length 10 minutes (equivalent to 1500 words) Weight 50% Gen AI use Permitted, restrictions apply Aligned ULOS ULO1, ULO2,

Read More »

HSH725 Assessment Task 2

turquoise By changing the Heading 3 above with the following teal, turquoise, orange or pink you can change the colour theme of your CloudFirst CloudDeakin template page. When this page is published the Heading 3 above will be removed, but it will still be here in edit mode if you wish to change the colour theme.

Read More »

Evidence in Health Assessment 2: Evidence Selection

Evidence in Health Assessment 2: Evidence Selection Student name:                                                                    Student ID: Section 1: PICO and search strategy Evidence Question: Insert evidence question from chosen scenario here including all key PICO terms.       PICO Search Terms                                                                                                                                                                                                          Complete the following table.   Subject headings Keywords Synonyms Population  

Read More »

Assessment 1 – Lesson Plan and annotation

ASSESSMENT TASK INFORMATION: XNB390 Assessment 1 – Lesson Plan and annotation This document provides you with information about the requirements for your assessment. Detailed instructions and resources are included for completing the task. The Criterion Reference Assessment (CRA) Marking Matrix that XNB390 markers will use to grade the assessment task

Read More »

XNB390 Task 1 – Professional Lesson Plan

XNB390 Template for Task 1 – Professional Lesson Plan CONTEXT FOR LESSON: SOCIAL JUSTICE CONSIDERATIONS: Equity Diversity Supportive Environment UNIT TITLE:    TERM WEEK DAY TIME 1   5           YEAR/CLASS STUDENT NUMBERS/CONTEXT LOCATION LESSON DURATION         28 Children (chl): 16 boys; 12

Read More »

A2 Critical Review Assignment

YouthSolutions Summary The summary should summarise the key points of the critical review. It should state the aims/purpose of the program and give an overview of the program or strategy you have chosen. This should be 200 words – included in the word count. Critical analysis and evaluation Your critical

Read More »

PUN364 – Workplace activity Assignment

Assessment 1 – DetailsOverviewFor those of you attending the on-campus workshop, you will prepare a report on the simulated simulated inspection below. For those of you who are not attending, you will be required to carry out your own food business inspection under the supervision of a suitably qualified Environmental

Read More »

FPC006 Taxation for Financial Planning

Assignment 1 Instructions Assignment marks: 95 | Referencing and presentation: 5 Total marks: 100 Total word limit: 3,600 words Weighting: 40% Download and use the Assignment 1 Answer Template provided in KapLearn to complete your assignment. Your assignment should be loaded into KapLearn by 11.30 pm AEST/AEDT on the due

Read More »

Mental health Nursing assignment

Due Aug 31 This is based on a Mental health Nursing assignment Used Microsoft word The family genogram is a useful tool for the assessment of individuals, couples, and families.  It can yield significant data and lead to important, new patient understandings and insights as multigenerational patterns take shape and

Read More »

Assessment 2: Research and Policy Review

Length: 2000 words +/- 10% (excluding references)For this assessment, you must choose eight sources (academic readings and policy documents) as the basis of your Research and Policy Review. You must choose your set of sources from the ‘REFERENCES MENU’ on the moodle site, noting the minimum number of sources required

Read More »

HSN702 – Lifespan Nutrition

Assessment Task: 2 Assignment title: Population Nutrition Report and Reflection Assignment task type: Written report, reflection, and short oral presentation Task details The primary focus of this assignment is on population nutrition. Nutritionists play an important role in promoting population health through optimal nutritional intake. You will be asked to

Read More »

Written Assessment 1: Case Study

Billy a 32-year-old male was admitted to the intensive care unit (ICU) with a suspected overdose of tricyclic antidepressants. He is obese (weight 160kg, height 172cm) and has a history of depression and chronic back pain for which he takes oxycodone. On admission to the emergency department, Paramedics were maintaining

Read More »

Assessment Task 8 – Plan and prepare to assess competence

Assessment Task 8 – Plan and prepare to assess competence Assessment Task 8 consists of the following sections: Section 1:      Short answer questions Section 2:      Analyse an assessment tool Section 3:      Determine reasonable adjustment and customisation of assessment process Section 4:      Develop an assessment plan Student Instructions To complete this

Read More »

Nutrition Reviews Assignment 2 – Part A and Part B

This assignment provides you with the opportunity to determine an important research question that is crucial to address based on your reading of one of the two systematic reviews below (Part A). You will then develop a research proposal outlining the study design and methodology needed to answer that question

Read More »

NUR332 – TASK 3 – WRITTEN ASSIGNMENT

NUR332 – TASK 3 – WRITTEN ASSIGNMENT for S2 2024. DESCRIPTION (For this Task 3, the word ‘Indigenous Australians’, refers to the Aboriginal and Torres Strait Islander Peoples of Australia) NUR332 Task 3 – Written Assignment – Due – WEEK 12 – via CANVAS on Wednesday, Midday (1200hrs) 16/10/2024. The

Read More »

NUR100 Task 3 – Case study

NUR100 Task 3 – Case study To identify a key child health issue and discuss this issue in the Australian context. You will demonstrate understanding of contemporary families in Australia. You will discuss the role of the family and reflect on how the family can influence the overall health outcomes

Read More »

NUR 100 Task 2 Health Promotion Poster

NUR 100 Task 2 Health Promotion Poster The weighting for this assessment is 40%. Task instructions You are not permitted to use generative AI tools in this task. Use of AI in this task constitutes student misconduct and is considered contract cheating. This assessment requires you to develop scholarship and

Read More »

BMS 291 Pathophysiology and Pharmacology CASE STUDY

BMS 291 Pathophysiology and Pharmacology CASE STUDY Assessment No: 1 Weighting: 40% Due date Part A: midnight Friday 2nd August 2024 Due date Part B: midnight Sunday 29th September 2024 General information In this assessment, you will develop your skills for analysing, integrating and presenting information for effective evidence-based communication.

Read More »

Assessment Task: Health service delivery

Assessment Task Health service delivery is inherently unpredictable. This unpredictability can arise from, for example, the assortment of patient presentations, environmental factors, changing technologies, shifts in health policy and changes in division leadership. It can also arise from changes in policy within an organisation and/or associated health services that impact

Read More »

LNDN08002 Business Cultures Resit Assessment

LNDN08002 Business Cultures Resit Assessment Briefing 2023–2024 (Resit for Term 1) Contents Before starting this resit, please: 1 Assessment Element 1: Individual Report 1 Case Report Marking Criteria. 3 Assessment Element 2: Continuing Personal Development (CPD) 4 Guidance for Assessment 2: Reflection and Reflective Practice. 5 Student Marking Criteria –

Read More »

Assessment Task 2 – NAPLAN Exercise

Assessment Task 2 (35%) – Evaluation and discussion of test items Assessment Task 2 (35%) – Evaluation and discussion of test items AITSL Standards: This assessmeAITSL Standards: This assessment provides the opportunity to develop evidence that demonstrates these Standards: 1.2        Understand how students learn 1.5        Differentiate teaching to meet with

Read More »

EBY014 Degree Tutor Group 2 Assignment

  Assignment Brief Module Degree Tutor Group 2 Module Code EBY014 Programme BA (Hons) Business and Management with   Foundation Year Academic Year 2024/2025 Issue Date 6th May 2024 Semester Component Magnitude Weighting Deadline Learning outcomes assessed 2 1 2000 words Capstone Assessment 100% 26th July, 2024 1/2/3/4 Module Curriculum

Read More »

Can't Find Your Assignment?

Open chat
1
Free Assistance
Universal Assignment
Hello 👋
How can we help you?