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Pingdingshan Industrial College Of TechnologyBTEC HND in Mechanical Principles /Mechanical engineeringUnit 5 Mechanical PrinciplesAssignmentName of StudentXu hanyang Unit TitleUnit 5 Mechanical PrinciplesAssignment TitleAnalysis of complex loading systems Assignment NoAssignment 1Name of TutorBai XiaoName of Internal VerifierWang LeSubmission DeadlineNov 17, 2011.Outcomes and Assessment CriteriaOutcomeOutcomes Assessment criteria for passTo achieve each outcome a learner must demonstratethe ability to:FeedbackTutors decisionInternal Verification1.Analyse complex loadingsystemsidentify the relationship between longitudinal and transverse strain.1adetermine the effects of two-dimensional and three-dimensional loading on the dimensions of a given material.1bdetermine volumetric strain and change in volume.1cdefine Bulk Modulus and recognise the relationship between elastic constants.1d2. Investigate the behaviour ofloaded beams and cylindersrecognise the relationship between bending moment,slope and deflection for a loaded beam2adetermine slope and deflection along loaded beams2bdetermine the principal stresses that occur in a thin-walled pressure vessel2cdetermine the distribution of stress in a thick-walledcylinder when subjected to pressure2dMerit Grade CriteriaMerit DescriptorsIndicative CharacteristicsFeedbackTutors decisionInternal VerificationM1.figure relationship out Clearly describe the relationship among elastic constants. M1M2 Accurate calculationThe calculation of volumetric strain and volume change is rightM2M3 Make a clear expressionAccurate and fluent use of English.M3Distinction Grade CriteriaDistinction DescriptorsIndicative CharacteristicsFeedbackTutors decisionInternal VerificationD1 Identify expression for complex loading system A leaner must have a comprehensive understanding two-dimensional and three-dimensional loading expression D1D2 take responsibility formanaging and organisingactivitiesThe caculations of two-dimensional change should be accurate D2D3 Demonstrate creative thinkingRecognise the relationship between elastic constants. using fluent technical language. And the definition must have your own idea.D3Professors additional feedback and commentsInternal verification of assignment brief (final agreed version)IV name DateI conform that this is all my own workStudent signatureScenarioPart1Within the proportional limit of the material from the uniform distribution of longitudinal stress transverse strain caused by the longitudinal strain and the corresponding ratio of the absolute value. For example, an under tension, its axial elongation accompanied by lateral contraction (or vice versa), while the transverse strain e u0026#39;ratio and axial strain e is called Poissonu0026#39;s ratio V. Poisson ratio is generally determined by experiment.Tasks 1: Identify definition of Poissons Ratio and list some typical values of Poissons Ratio for common engineering materials.(1a )(M3)Definition: Materials tensile or compression in one way, the horizontal is strain and axial strain is the ratio of the absolute value of Material name Poissons ratioCarbon steel 024 028Alloy steel 025 030Grey cast steel 023 027Copper and copper alloy 031 042Aluminum alloy 033Aluminum 042Task 2:Describe expressions for strain in the x, y and z-directions and use what you leared to calculate the following question1. the stress and shear force on the oblique section2. the direction of main stress and draw it ( 1b)(D1)Solution: 1) =25-5cos120-20sin120 =17.68MPa =-10sin120+20cos120 =-18.66 MPa 2) Original type =3010max=+52.36 MPamin=+7.64 MPa Because The X axis clockwise to effect the direction of the plane Tasks 3:A bar of circular cross-seciton is subject to a tensile load of 150KN, which is within the elastic range . The bar is made from a steel with E=210Gpa and Possions ratio=0.3 ,it has a diameter of 20mm and is 1.5m long. Determine the extension of the bar , the decrease in diameter and the increase in volume of the bar. (1c)(M2)Tasks 4:Identify definition of Bulk Modulus and make clear relationship between Modulus of Elasticity; Shear Modulus; Bulk Modulus and Poissons Ratio for an elastic material. (1d)(M1) (D3)Volume strain definition: Certain volume of objects in the external force under the function of size and shape change, volume change with the size of the object of the original volume than is called volume strain P=F/S V=SL =-dL/Ld FL/SL =2(L L-dd) K=PV/VTask 5:From the follow figure, a beam imply supported with left to the middle uniform load, Determine:1.the deflection of position B 2.the slope of position B (2a)(2b)(D3)1)Into the equation 2) Deflection curve equation TheInto the equation Maximum deflection Task 6:An thin cylinder has an internal diameter of 60mm,and is 300 mm in length .If the cylinder has an wall thickness of 4mm and subject to an internal pressure of 80kpa.Then assuming Possions ratio is 0.3 and E=210Gpa, then determine the :1. change in length of the cylinder2. hoop stress 3. Longitudinal stress. (2c)(2b)(M3)(D3)=2 MPa=1 MPa. =8.57=mm3Task 7:A steel pipe of internal diameter 50mm and external diameter 90 mm is subject to an internal pressure of 15Mpa.Deterimine the radial and hoop stress at the inner surface. (2d)(2b)(M3)(D3)Task8:A thick cylinder has an internal diameter 200mm and external diameter of 300 mm. If the cylinder is subject to an internal pressure of 70Mpa and an external pressure of 40Mpa,determine:1. the hoop and radial stress at the inner and outer surface of the cylinder2. the longitudinal stress, if the cylinder is assumed to have closed ends.(2d)(2b)(M3)(D3)=1) Internal pressure 2) external pressure General Notes to students: Word process the report. Use 12 point Times New Roman script. The general expectation of layout is that each written assignments should be typed or computer-printed with A4 size sheets. Leave adequate space for 1.5 spaced and 3cm margins to allow space for markers comments. Use a butterfly or treasury tag to keep the pages of your work together. Include Arabic page numbers. A word count must be included in all assessed work, failure to do so will result in a penalty of 5% points. A penalty of 1% point will be applied for each 50 words above the specified limit. For example, if the limit is 1000 words, a penalty of 1% is applied for essay of length 1001-1050, 2% for an essay of length 1051-1100 and so on. Complete the cover sheet and sign the statement of authenticity. Use the Harvard referencing system. Take great care that if you use other peoples work or ideas in your assignment, you properly reference them in your text and any bibliography. (If you are caught plagiarizing, you could have your grade reduced to zero, or at worst, you could be excluded from the course) Check carefully the submission date and the instructions given with the assignment. Late assignments will not be accepted. If you are unable to hand in your assignment on time and have valid reasons such as illness, you may apply (in writing) for an extension. Added Notes: The deadline for submitting assignment is 30/11/2011, 4 PM at Teaching Office 301. 螂腿薁蚂肁芈芁蒅羇芇莃蚀袃芆蒅蒃蝿芆芅虿螅芅莇薁肃芄蒀螇罿芃薂薀袅节节螅螁莁莄薈肀莀蒆螃羆莀蕿薆袂荿莈螂袈羅蒁蚅螄羄薃袀肂羄节蚃羈羃莅袈袄羂蒇蚁螀肁蕿蒄聿肀艿虿肅聿蒁蒂羁肈薄螈袇肈芃薁螃肇莆螆肂肆蒈蕿羈膅薀螄袃膄芀薇蝿膃莂螃蚅膂薅薅肄膂芄袁羀膁莆蚄袆膀葿衿螂腿薁蚂肁芈芁蒅羇芇莃蚀袃芆蒅蒃蝿芆芅虿螅芅莇薁肃芄蒀螇罿芃薂薀袅节节螅螁莁莄薈肀莀蒆螃羆莀蕿薆袂荿莈螂袈羅蒁蚅螄羄薃袀肂羄节蚃羈羃莅袈袄羂蒇蚁螀肁蕿蒄聿肀艿虿肅聿蒁蒂羁肈薄螈袇肈芃薁螃肇莆螆肂肆蒈蕿羈膅薀螄袃膄芀薇蝿膃莂螃蚅膂薅薅肄膂芄袁羀膁莆蚄袆膀葿衿螂腿薁蚂肁芈芁蒅羇芇莃蚀袃芆蒅蒃蝿芆芅虿螅芅莇薁肃芄蒀螇罿芃薂薀袅节节螅螁莁莄薈肀莀蒆螃羆莀蕿薆袂荿莈螂袈羅蒁蚅螄羄薃袀肂羄节蚃羈羃莅袈袄羂蒇蚁螀肁蕿蒄聿肀艿虿肅聿蒁蒂羁肈薄螈袇肈芃薁螃肇莆螆肂肆蒈蕿羈膅薀螄袃膄芀薇蝿膃莂螃蚅膂薅薅肄膂芄袁羀膁莆蚄袆膀葿衿螂腿薁蚂肁芈芁蒅羇芇莃蚀袃芆蒅蒃蝿芆芅虿螅芅莇薁肃芄蒀螇罿芃薂薀袅节节螅螁莁莄薈肀莀蒆螃羆莀蕿薆袂荿莈螂袈羅蒁蚅螄羄薃袀肂羄节蚃羈羃莅袈袄羂蒇蚁螀肁蕿蒄聿肀艿虿肅聿蒁蒂羁肈薄螈袇肈芃薁螃肇莆螆肂肆蒈蕿羈膅薀螄袃膄芀薇蝿膃莂螃蚅膂薅薅肄膂芄袁羀膁莆蚄袆膀葿衿螂腿薁蚂肁芈芁蒅羇芇莃蚀袃芆蒅蒃蝿芆芅虿螅芅莇薁肃芄蒀螇罿芃薂薀袅节节螅螁莁莄薈肀莀蒆螃羆莀蕿薆袂荿莈螂袈羅蒁蚅螄羄薃袀肂羄节蚃羈羃莅袈袄羂蒇蚁螀肁蕿蒄聿肀艿虿肅聿蒁蒂羁肈薄螈袇肈芃薁螃肇莆螆肂肆蒈蕿羈膅薀螄袃膄芀薇蝿膃莂螃蚅膂薅薅肄膂芄袁羀膁莆蚄袆膀葿衿螂腿薁蚂肁芈芁蒅羇芇莃蚀袃芆蒅蒃蝿芆芅虿螅芅莇薁肃芄蒀螇罿芃薂薀袅节节螅螁莁莄薈肀莀蒆螃羆莀蕿薆袂荿莈螂袈羅蒁蚅螄羄薃袀肂羄节蚃羈羃莅袈袄羂蒇蚁螀肁蕿蒄聿肀艿虿肅聿蒁蒂羁肈薄螈袇肈芃薁螃肇莆螆肂肆蒈蕿羈膅薀螄袃膄芀薇蝿膃莂螃蚅膂薅薅肄膂芄袁羀膁莆蚄袆膀葿衿螂腿薁蚂肁芈芁蒅羇芇莃蚀袃芆蒅蒃蝿芆芅虿螅芅莇薁肃芄蒀螇罿芃薂薀袅节节螅螁莁莄薈肀莀蒆螃羆莀蕿薆袂荿莈螂袈羅蒁蚅螄羄薃袀肂羄节蚃羈羃莅袈袄羂蒇蚁螀肁蕿蒄聿肀艿虿肅聿蒁蒂羁肈薄螈袇肈芃薁螃肇莆螆肂肆蒈蕿羈膅薀螄袃膄芀薇蝿膃莂螃蚅膂薅薅肄膂芄袁羀膁莆蚄袆膀葿衿螂腿薁蚂肁芈芁蒅羇芇莃蚀袃芆蒅蒃蝿芆芅虿螅芅莇薁肃芄蒀螇罿芃薂薀袅节节螅螁莁莄薈肀莀蒆螃羆莀蕿薆袂荿莈螂袈羅蒁蚅螄羄薃袀肂羄节蚃羈羃莅袈袄羂蒇蚁螀肁蕿蒄聿肀艿虿肅聿蒁蒂羁肈薄螈袇肈芃薁螃肇莆螆肂肆蒈蕿羈膅薀螄袃膄芀薇蝿膃莂螃蚅膂薅薅肄膂芄袁羀膁莆蚄袆膀葿衿螂腿薁蚂肁芈芁蒅羇芇莃蚀袃芆蒅蒃蝿芆芅虿螅芅莇薁肃芄蒀螇罿芃薂薀袅节节螅螁莁莄薈肀莀蒆螃羆莀蕿薆袂荿莈螂袈羅蒁蚅螄羄薃袀肂羄节蚃羈羃莅袈袄羂蒇蚁螀肁蕿蒄聿肀艿虿肅聿蒁蒂羁肈薄螈袇肈芃薁螃肇莆螆肂肆蒈蕿羈膅薀螄袃膄芀薇蝿膃莂螃蚅膂薅薅肄膂芄袁羀膁莆蚄袆膀葿衿螂腿薁蚂肁芈芁蒅羇芇莃蚀袃芆蒅蒃蝿芆芅虿螅芅莇薁肃芄蒀螇罿芃薂薀袅节节螅螁莁莄薈肀莀蒆螃羆莀蕿薆袂荿莈螂袈羅蒁蚅螄羄薃袀肂羄节蚃羈羃莅袈袄羂蒇蚁螀肁蕿蒄聿肀艿虿肅聿蒁蒂羁肈薄螈袇肈芃薁螃肇莆螆肂肆蒈蕿羈膅薀螄袃膄芀薇蝿膃莂螃蚅膂薅薅肄膂芄袁羀膁莆蚄袆膀葿衿螂腿薁蚂肁芈芁蒅羇芇莃蚀袃芆蒅蒃蝿芆
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