Advanced Mechanical Principles
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1 Unit 36: Unit code Advanced Mechanical Principles R/615/1504 Unit level 5 Credit value 15 Introduction A mechanical engineer is required to have an advanced knowledge of most of the machinery used within the engineering industry, and should understand the physical laws that influence their operation. The aim of this unit is to continue covering the topics discussed in Unit 9: Mechanical Principles. It will provide students with advanced knowledge of the mechanical theories associated with engineering applications. Topics included in this unit are: Poisson s Ratio and typical values of common materials; the relationship between the elastic constants such as Bulk Modulus, Modulus of Elasticity, Modulus of Rigidity; the relationship between bending moment, slope and deflection in beams; calculating the slope and deflection for loaded beams using Macaulay s method; analysing the stresses in thin-walled pressure vessels; and stresses in thick-walled cylinders, flat and v-section belt drive theory. On successful completion of this unit students will be able to have more advanced knowledge of mechanical principles to determine the behavioural characteristics of materials subjected to complex loading; assess the strength of loaded beams and pressurised vessels; determine specifications of power transmission system elements; and examine operational constraints of dynamic rotating systems. Learning Outcomes By the end of this unit students will be able to: 1. Determine the behavioural characteristics of materials subjected to complex loading. 2. Assess the strength of loaded beams and pressurised vessels. 3. Analyse the specifications of power transmission system elements. 4. Examine operational constraints of dynamic rotating systems. 249
2 Essential Content LO1 Determine the behavioural characteristics of materials subjected to complex loading Characteristics of materials: Definition of Poisson s Ratio and typical values of metals, plastics and composite materials The relationship between the elastic constants such as Bulk Modulus, Modulus of Elasticity, Modulus of Rigidity and Poisson s Ratio Characteristics of two-dimensional and three-dimensional loading Calculation of volumetric strain and volume changes LO2 Assess the strength of loaded beams and pressurised vessels Strength: The relationship between bending moment, slope and deflection in beams Calculating the slope and deflection for loaded beams using Macaulay s method Analysing the stresses in thin-walled pressure vessels and stresses in thickwalled cylinders LO3 Analyse the specifications of power transmission system elements Specifications: Flat and v-section belt drive theory Operation of friction clutches with uniform pressure and uniform wear theories Principles of both epicyclic and differential gearing, and the torque required to accelerate these systems Areas of failure when transmitting power mechanically LO4 Examine operational constraints of dynamic rotating systems Operational constraints: Design of both radial plate and cylindrical cams to meet operating specifications Operating principles of flywheels to store mechanical energy Balancing of rotating mass systems The effects of coupling on freely rotating systems 250
3 Learning Outcomes and Assessment Criteria Pass Merit Distinction LO1 Determine the behavioural characteristics of materials subjected to complex loading P1 Discuss the relationship between the elastic constants P2 Illustrate the effects of two-dimensional and threedimensional loading on the dimensions of a given material P3 Determine the volumetric strain and change in volume due to three-dimensional loading M1 Assess the effects of volumetric thermal expansion and contraction on isotropic materials D1 Critique the behavioural characteristics of materials subjected to complex loading LO2 Assess the strength of loaded beams and pressurised vessels P4 Evaluate the variation of slope and deflection along a simply supported beam P5 Determine the principal stresses that occur in a thinwalled cylindrical pressure vessel and a pressurised thick-walled cylinder M2 Review a suitable size universal beam from appropriate data tables which conforms to given design specifications for slope and deflection D2 Critique and justify your choice of suitable size universal beam using appropriate computer software to model the application by explaining any assumptions that could affect the selection LO3 Analyse the specifications of power transmission system elements 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 M3 Critically analyse both the uniform wear and uniform pressure theories of friction clutches for their effectiveness in theoretical calculations D3 Evaluate the conditions needed for an epicyclic gear train to become a differential, and show how a differential works in this application 251
4 Pass Merit Distinction LO4 Examine operational constraints of dynamic rotating systems P9 Explore the profiles of both radial plate and cylindrical cams that will achieve a specified motion P10 Show the mass of a flywheel needed to keep a machine speed within specified limits P11 Investigate the balancing masses required to obtain dynamic equilibrium in a rotating system M4 Evaluate the effects of misalignment of shafts and the measures that are taken to prevent problems from occurring D4 Critically evaluate and justify the different choices of cam follower that could be selected to achieve a specified motion, explaining the advantages and disadvantages of each application 252
5 Recommended Resources Textbooks BIRD, J. and ROSS, C. (2014) Mechanical Engineering Principles. 3rd Ed. London: Routledge. KHURMI, R.S. and GUPTA, J.K. (2005) Textbook of Machine Design. New Delhi: S. Chand Publishing. TOOLEY, M. and DINGLE, L. (2012) Engineering Science: For Foundation Degree and Higher National. London: Routledge. Websites Khan Academy Physics (Tutorials) Links This unit links to the following related units: Unit 8: Mechanical Principles 253
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