School of Engineering / Skool vir Ingenieurswese Department of Mechanical & Aeronautical Engineering / Meganiese- en Lugvaartkundige Ingenieurswese Structural Mechanics – MSY 310 Lecturer: Dr Helen Inglis Last Revision: 28/01/2016 © Copyright reserved

TABLEOFCONTENTS

1.ORGANIZATIONALCOMPONENT............................................................................2

1.1Introduction...................................................................................................2

1.2General..........................................................................................................2

1.3LearningActivities.........................................................................................3

1.4PrescribedLiterature.....................................................................................4

1.5Assessment....................................................................................................5

1.6Departmentalstudyguide.............................................................................5

2.STUDYCOMPONENT..............................................................................................7

2.1GeneralObjectives........................................................................................7

2.2PrerequisiteLearning....................................................................................7

2.3StudyThemes................................................................................................8

2.4TestandExamAssessment...........................................................................9

2

1.ORGANIZATIONALCOMPONENT1.1IntroductionStructuralmechanicsisconcernedwithanalyzingtheeffectofexternalappliedloadsonstructures.ApplyingtheprinciplesofNewtonianmechanics,theresistanceofthematerial to these external loads results in internal reaction forces that causedeformationanddisplacementwithintheloadedmaterial.In this course,wewill analyse andunderstand the stresses anddeformations thatresult from applied loading.Wewill consider different design and failure criteria,appropriate foreachmaterial.Thisunderstanding isnecessarytodesignstructuresforsafeandfailurefreeoperation.1.2General1.2.1TeachingphilosophyLectureswillbeusedtoconveyfundamentalprinciplesandtoanswerquestions.Itisexpectedthatthestudentmasterthedetailofthesubjectbyself-studyandpractice.Inordertoachievethis,thehomeworkproblemsareofgreatvalue.The focus is on understanding rather than on memorisation, which stimulatescreative thinking and innovation skills in structural mechanics. It is thereforeimportant to not only ask the question ‘How?’ but also ‘Why?’ Students areencouragedtobeabletodiscerntheimportantglobalaspectsofaproblemfromthedetails.Forthistheunderlyingtheoryandprinciplesareveryimportant.Studentsm1.2.2LecturerandTeachingAssistantsThecoursewillbepresentedbyDrHelenInglis.Office:Engineering1-Room10-21E-mail:helen.inglis@up.ac.zaThepreferredcontactmethodisemail,whichwillbeansweredwithinonebusinessday.Pleaserememberthatemailsareaformofprofessionalcommunication.Inthesubject line, include the course code and a descriptive subject. Use appropriateformsofaddress.Pleaseincludeyourfullnameandstudentnumber.A number of teaching assistants will be appointed. Their contact details will bepublishedastheyareavailable.

3

1.2.3ClassSchedule Monday Tutorial 13:30–15:30 EngIII-6

Tuesday Lecture 09:30–10:30 EngIII-6

Wednesday Lecture 11:30–12:30 EngIII-1

Thursday Lecture 07:30–08:30 EngIII-6 1.2.4OfficeHoursOffice hours will be arranged in the first week of classes to be convenient for asmanypeopleaspossible.Ifadditionalconsultationisnecessary,pleasescheduleviaemail.1.2.5ElectronicNoticeBoardA module for Structural Mechanics (MSY310) will be available on ClickUP. Allcorrespondence and administration will be handled electronically via ClickUP.StudentsareencouragedtouseClickUPcontinuouslythroughthesemester.Notesandassignmentswillbepostedonthewebsiteanditisexpectedthatstudentsdownloadtherelevantmaterialbeforelecturesandtutorials.

1.3Learningactivities1.3.1ContactTimeThecourserunsthroughthe1st semesterandthereare3 lecturesand1twohourtutorialperweekfor12weeks,asshownintheclassschedule.There are 36 lectures during which the relevant principles will be conveyed. It isexpected that students attend class regularly and be prepared at all times toparticipateinclassdiscussions.StudentswillbeexpectedtoreadThisisa16creditmodule requiring approximately 160 learninghours. Tutorials offer anopportunityfor thestudents todiscuss issues regardingstructuralmechanicswith the lecturer,teachingassistantsandclassmates.1.3.2Pre-classReadingAssignmentsStudentswillbeexpectedtoreadbeforecomingtoclass.Readingassignmentswillbe posted on ClickUP, and a quiz assessing the reading must be completed on

4

ClickUPbeforeclass.Thepurposeofthisquizistogivethelecturersomefeedbackon the students’ understanding of thematerial. Students’ participation as well asscoreonthereadingassignmentquizzeswillcontributetothesemestermark.1.3.3HomeworkAssignmentsRegular homework assignments will be given to help guide students in theirpreparation.Thesehomeworkassignmentswillnotbeassessed.1.3.4Practical:The practical will consist of a laboratory session with application to structuralmechanics.Thepracticalwillcontributetothesemestermark1.3.5TutorialandClassTestsOccasionaltutorialandclasstestsmaybegiventoassessstudents’progress.Thesewillcontributetothesemestermark.1.3.6ComputerLiteracySince someof the problems in thismodule are calculation intensive, studentswillbenefitconsiderablyfromcomputeraccess.AworkingknowledgeofPythonorotherprogramming language is required andproficiencywith a spreadsheetwill also bevaluable.Access toacomputerandthesoftwarementionedcanbeobtainedfromthefaculty’scomputerlaboratory.1.4PrescribedLiterature1.3.1Textbook“MechanicsofEngineeringMaterials”PPBenham,RJCrawford&CGArmstrong2ndeditionPEARSON–PrenticeHall1.3.2RecommendedTextbooksIt is important that students develop skills in structuralmechanics,which requiresconsiderable practice. Studentsmay consult other textbooks as sources formoreworkedexamplesandexercises.Alistofsuchtextbookswillbeprovided.

5

1.5Assessment1.5.1TestandExaminationTwo semester testswill bewrittenduring the semester. Thedurationofeach testwillbe90minuteswhiletheexaminationwillbe180minutes.Nostudymaterialornotes will be allowed in tests and exams. No alphanumerical programmablecalculatorswill be allowed in the tests and exams. Thenecessary information andformulasfortheexamwillbegivenduringtheexam.1.5.2FinalMarkTheFinalmarkwillbecalculatedasfollows:Exammark 50%Classmark 50%TOTAL: 100%Classmarkbreakdown:Readingassignments 10%Practical 10%Tutorialandclasstests 10%SemesterTest1 35%SemesterTest2 35%AdmissiontotheExam:Astudentwillbeadmittedtotheexamifasemestermarkofatleast40%hasbeenachieved.PassRequirements:Passingrequiresafinalmarkofatleast50%.SickTest:A sick test will be granted to students who qualify for such a test. It is theresponsibility of the student to apply for such test according to the procedurestipulated in the departmental study guide. Only one sick test, on all the workcovereduptothelecturebeforethesicktest,willbegiven.Thetestwillbewrittenafterthesecondsemestertest.1.6DepartmentalstudyguideThisstudyguideisacrucialpartofthegeneralstudyguideoftheDepartment.InthestudyguideoftheDepartment,informationisgivenonthemissionandvisionofthedepartment ,generaladministrationandregulations(professionalismand integrity,course related information and formal communication, workshop use and safety,

6

plagiarism, class representativeduties, sick test and sick examguidelines, vacationwork, appeal process and adjustment of marks, university regulations, frequentlyasked questions), ECSA outcomes and ECSA exit level outcomes, ECSA knowledgeareas,CDIO,newcurriculumandassessmentof cognitive levels. It isexpected thatyou are very familiar with the content of the Departmental Study Guide. It isavailableinEnglishandAfrikaansontheDepartment’swebsite.English:http://www.up.ac.za/media/shared/120/Noticeboard/departmental-studyguide-eng-2016.zp77597.pdfAfrikaans:http://www.up.ac.za/media/shared/120/Noticeboard/departementele-studiegids-afr-2016.zp77599.pdfTakenoteofthespecificinstructionsintheabovestudyguideon:

a. Safetyb. Plagiarismc. Whattodoifyouweresick(veryimportant)?d. Appealprocessontheadjustmentofmarks

7

2.STUDYCOMPONENT2.1GeneralObjectivesTheeffectiveapplicationofstructuralmechanicsissomehoworanotherrelevanttomostengineeringdisciplines. StructuralMechanics is concernedwithanalysing theeffectsofapplied loadsonand inbodies. In thismodule thestudentwillprimarilystudythefollowing:

• Thestressandstrainrelationshipsinamaterial.• Thefailureandfractureofmaterials.• Themechanicsofvariousstructuralmembersunderappliedloading.• Thistheoryinturnequipsthestudenttodesign:

o Againstdisplacementslimits;o Againststresslimits;o Forfracturestrength,ando Withconsiderationofmaterialproperties.

2.2PrerequisiteLearningMachinedesign(MOW227),DifferentialEquations(WTW256).StructuralMechanics(MSY310)istheextensionofthesecoursesinthesensethatitprovidesastudentinmoredepthwiththeanalysisofinternalbehaviourofmaterialsunderexternalloadingusingmathematicalandphysicalprinciples.

8

2.3StudyThemes

StudyThemeContactsessions

Totalstudyhours

Staticallydeterminateforcesystems 2 8Staticallydeterminatestresssystems 1 4Stress-Strainrelations 1 4Staticallyindeterminatestresssystems 2 8Torsion 2 8Bending

- Stress- Slopeanddeflection

32

128

Staticallyindeterminatebeams 2 8EnergyMethods 4 16Bucklinginstability 3 12Stressandstraintransformations 2 8YieldCriteriaandstressconcentration 2 8Elementaryplasticity 3 12Fracturemechanics 3 12Fatigue 3 12Variationofstressandstrain 2 8Thickwalledcylindertheory 3 12 Total 40 160*Totalinclude:contactsessions,self-studyandpreparationfortestsandexamsStudythemedescriptionswillbemadeavailableasthemoduleprogresses.

9

2.4TestandExamAssessmentTheassessmentofallthetestsforthiscoursewillbedonewithaMarkallocationasshowninthetablebelow.Thestudenthastoachieveaminimumof50%ofmarkslistedinthetablebelowforapassrequirement.Thisassessmenthasasitsaimthetestingofwhetherthestudenthasreachedtheexitlevelofoutcome1ofECSA.

AssessmentMark

allocationoutof10

The student identifies the type of loading on thestructure (axial, torsion or lateral) and uses theappropriate method to obtain stresses, strains,deflationsetc.Statingtheappropriateassumptions.

1

Free body diagram. Calculation of reaction forces andmoments. Diagram of internal forces throughout thestructure(shear,moment,axialandtorquediagrams).

2

The design (sizing) of the structure can be based onmultiple criterions such as limiting normal and shearstress and strain, deflection and creep limitations asdefined in the problem. The student identifies thenumber of correct applicable analysis’s to obtain thesolutiontoeachofthecriterion.

2

Presentingsolutionsaccording toeachcriterion (limitednormalorshearstress,deflection,strain,creep,etc.). 2

Ifmultiplecriterionsarenecessarytosolvetheproblembutthere isonlyonecorrectsolution,thestudentmustpresentthesolutionsthatsatisfyeachindividualcriterionandthenoutlinethecorrectonewithanexplanation.

2

Solutionpresentedwithcorrectsymbolsandunits. 1