STUDENT ASSESSMENT SUBMISSION AND DECLARATION When submitting evidence for assessment, each student must sign a declaration confirming that the work is their own. Student name: Assessor name: Rawisha Serasinghe Issue date: Formative Assessment Date: 18th December 2021 Submission date: 16th January 2022 31st January 2022 Programme: Pearson Higher Nationals in Mechanical Engineering Unit: Unit 36: Advanced Mechanical Principles Assignment number and title: Assignment 1 of 2: The Behaviour of Structural Materials under load, power transmission system elements Plagiarism Plagiarism is a particular form of cheating. Plagiarism must be avoided at all costs and students who break the rules, however innocently, may be penalised. It is your responsibility to ensure that you understand correct referencing practices. As a university level student, you are expected to use appropriate references throughout and keep carefully detailed notes of all your sources of materialsfor material you have used in your work, including any material downloaded from the Internet. Please consult the relevant unit lecturer or your course tutor if you need any further advice. Student Declaration Student declaration I certify that the assignment submission is entirely my own work and I fully understand the consequences of plagiarism. I understand that making a false declaration is a form of malpractice. Student signature: Date: Higher Nationals Assignment Brief – BTEC (RQF) Higher National Diploma in Engineering Student Name/ID Number Unit Number and Title U36 Advanced Mechanical Principles Academic Year 2021/22 Unit Assessor Rawisha Serasinghe Assignment Title The Behaviour of Structural Materials under load, Power transmission system elements. Issue Date 18th December 2021 Submission Date 31st January 2022 IV Name Majeed Raheem Date 17th December 2021 Submission Format: The submission is in the form of an MS Word document, where you provide the responses to the problems provided. The format should be in a formal report that contains images, illustrations, descriptive text, and a bibliography of sources used. Citations should be included within the body of your main text. Unit Learning Outcomes: LO1. Determine the behavioural characteristics of materials subjected to complex loading. LO3. Analyze the specifications of power transmission system elements. Assignment Brief and Guidance: LO1 Task 1 1. Compare and contrast the different elastic constraints of isotropic materials. 2. A rectangular bar 40 mm wide and 30 mm thick is 0.5 m long. It is acted upon by axial tensile force of 120 kN. Find Change in dimensions of the bar. (E = 200 Gpa and μ=0.25.) 3. A rigid wheel of 1.25 m Dia. is to be fitted with a steel tyre of 1.24912 m dia. Find the minimum temp up to which the tyre is to be heated so that it can be fitted over the wheel. Take Co-efficient of thermal expansion as 12 x 10-6/c and E=2 X 105 N/mm2. 4. A copper bar of 20 mm diameter is tightly fitted inside a steel tube of external diameter of 30 mm. the length of composite section is 100 mm. it is subjected to axial force 60 kN. Find stress in steel and copper. (Es = 200 kN/mm2 Ec = 160 kN/mm2) Task 2 A concrete column, length L = 900 mm and diameter d = 490 mm, is reinforced with 6 steel rods (rebar), each having a cross-sectional area of 200 mm2. The Young's Moduli are ES = 200 GPa and EC = 27 GPa. The allowable stresses for steel and concrete respectively are 125 MPa and 29.2 MPa. (1) Find the maximum allowable load, F (2) Find the stress in the concrete with this load (3) Find the stress in the steel with this load (4) Find the deformation in length with this load Task 3 • • • • • Compare full stress-strain curve for steel, brass, copper and aluminium alloy. What type of behaviour is observed from these stress-strain curves? Which material has the greatest UTS? Which material should be chosen when high strength is required? Why are the other three materials still used? LO3 Task 1 (1) Flat belt can be used as a clutch. Give an example of that with a diagram and explain. (2) Write the advantages and disadvantages of V-belt drive over Flat belt drives (3) A V-belt drive transmits 20kW from an electric motor running at 1440rpm to the main shaft of a roving machine. The motor and main shaft pulleys have 300 & 600 rpm respectively. The coefficient of friction between belt and pulley is 0.25. The centre distance between the shafts is 1000mm. The top width, thickness, section angle and density of belt and permissible tension on the belt are 22mm, 14mm and 40deg, 0.97gcm-2 and 600N respectively. How many belts are needed? Calculate the length of a belt needed. Task 2 (1) What are the advantages and disadvantages of conical clutches compared with plate friction clutches? (2) What are the differences between uniform wear theory and uniform pressure theory? (3) A conical Clutch transmits rotation from one rotating shaft to another though frictional forces on the conical face. The following data is for a conical clutch • Inside Diameter 25.0 mm • Outside Diameter 100 mm • Coefficient of Friction 0.33 • Axial Force 1000N • Included angle 100 degree • Rotational speed 1500rev/minute Calculate the Torque and Power that can be transmitted without slipping using both Uniform Pressure Theory and Uniform Wear Theory. Task 3 (1) Compare the differences between different gear profiles (2) Figure shows an alicyclic gear train with the following details: A has 40 teeth external (fixed gear); B has 80 teeth internal; C - D is a compound wheel having 20 and 50 teeth (external) respectively, E-F is a compound wheel having 20 and 40 teeth (external) respectively, and G has 90 teeth (external). The arm runs at 100 r.p.m. in clockwise direction. Determine the speeds for gears C, E, and B. (3) Figure shows some details of a compound epicyclic gear drive where I is the driving or input shaft and O is the driven or output shaft which carries two arms A and B rigidly fixed to it. The arms carry planet wheels which mesh with annular wheels P and Q and the sun wheels X and Y. The sun wheel X is a part of Q. Wheels Y and Z are fixed to the shaft I. Z engages with a planet wheel carried on Q and this planet wheel engages the fixed annular wheel R. The numbers of teeth on the wheels are: P = 114, Q = 120, R = 120, X = 36, Y = 24 and Z = 30. The driving shaft I makes 1500 r.p.m. clockwise looking from our right and the input at I is 7.5 kW. a. Find the speed and direction of rotation of the driven shaft O and the wheel P. b. Find the torque tending to rotate the fixed wheel R. (4) Explain the operation principle of a differential system and how a differential system relates to epicyclic gear trains. Learning Outcomes and Assessment Criteria Learning Outcome Pass Merit Distinction LO1 Determine the behavioural characteristics of materials subjected to complex loading. P1 Discuss the relationship between the elastic constants M1Assess the effects of volumetric thermal expansion and contraction on isotropic materials D1Critique the behavioural characteristics of materials subjected to complex loading M5 Critically analyse both the uniform wear and uniform pressure theories of friction clutches for their P7Analyse the force effectiveness in requirements to engage theoretical calculations a friction clutch in a mechanical system D3Evaluate the conditions needed for an epicyclic gear train to become a differential, and show how a differential works in this application P2 Illustrate the effects of two-dimensional and three dimensional loading on the dimensions of a given material P3 Determine the volumetric strain and change in volume due to three-dimensional loading LO3 Analyze the specifications of power transmission system elements. P6Discuss the initial tension requirements for the operation of a vbelt drive P8Analyse the holding torque and power transmitted through epicyclic gear trains Learning Outcomes and Assessment Criteria Learning Outcome P1 Discuss the relationship between the elastic constants P2 Illustrate the effects of twodimensional and threedimensional loading on the dimensions of a given material P3 Determine the volumetric strain and change in volume due to three-dimensional loading P6 Discuss the initial tension requirements for the operation of a v-belt drive P7 Analyse the force requirements to engage a friction clutch in a mechanical system P8 Analyse the holding torque and power transmitted through epicyclic gear trains M1 Assess the effects of volumetric thermal expansion and contraction on isotropic materials M5 Critically analyse both the uniform wear and uniform pressure theories of friction clutches for their effectiveness in theoretical calculations D1 Critique the behavioural characteristics of materials subjected to complex loading D3 Evaluate the conditions needed for an epicyclic gear train to become a differential, and show how a differential works in this application Pass Merit Distinction Higher Nationals –Formative /Summative Assignment Feedback form Student Name/ID Unit Title Unit 36: Advanced Mechanical Principles Assignment Number 1 of 2 Rawisha Serasinghe Assessor 16th January 2021 Formative Assessment Date 31st January 2021 Submission Date Date Received 1st submission Date Received 2nd submission Re-submission Date Formative Assessor Feedback: Summative Assessor Feedback: Grade: Assessor Signature: Date: Assessor Signature: Date: Resubmission Feedback: Grade: Internal Verifier’s Comments: Signature &Date: