MENG 222 STRENGTH OF MATERIALS Department: Mechanichal Engineering Program Name: Course Number: MENG 222 Mechanichal Engineering Credits: 4 Cr Program Code: 23 Year/Semester: 2012-2013 Spring Required Course Elective Course (click on and check the appropriate box) Prerequisite(s): CIVL 211 Catalog Description: Review of Statics. Stress and strain, and Hooke’s law. Constitutive relations. Analysis of stress and strain. Axially loaded members. Torsion. Stress in beams. Combined stress. Deflection of members. Design of beams and shafts. Columns. Course Web Page: Textbook(s): Mechanics of Materials by Beer and Johnston, McGraw-Hill, Lab Manual: Indicative Basic Reading List : 1. Mechanics of Materials by A.Bedford and K.M Liechti, Prentice Hall, 2. Mechanics of Materials by A.C. Ugural, McGraw-Hill, 3. R.C.Hibbeler, Mechanics of Materials Seventh Edition, Prentice Hall 4. Mechanics of Materials by E.P.Popov, Prentice Hall Topics Covered and Class Schedule: Chapter 1 Concept of Stress ( 4 hours) Chapter 2 Axial Loading (6 Hours) Chapter 3 Torsion ( 8 Hours) Chapter 4 Pure Bending ( 8 Hours) Chapter 5 Analysis and Design of Beams For Bending ( 8 Hours) Chapter 6 Shearing Stress in Beams and Thin-walled Members ( 8 Hours) Chapter 7 Transformation of Stress and Strain ( 8 Hours) Chapter 8 Principal Stress Under a Given Loading ( 8 Hours ) Chapter 9 Deflection of Beams ( 8 Hours ) Laboratory Schedule: 1 Torsion Test 2 Bending Test 3 Thin Walled Cylinder 4 Thick Walled Cylinder Course Learning Outcomes: At the end of the course, student must be able to (1) Review the important principles of statics and determine the internal resultant loadings in a body. Using the concept of normal stress and shear stress for specific applications to analyse or design of members subjected to an axial load or direct shear loads. (2) Define the deformation of the body using the concept of normal and shear strain. (3) Show the stress strain relations from various experimental methods for materials commonly used in engineering (4) Find the stress an deformations in an axially loaded and thermally loaded members using the equilibrium equations and the compatibility equations for the statically indeterminate cases. (5) Find the shear stress an angle of twist of a shaft or tube subjected to torsional loading using the equilibrium equations and the compatibility equations for the statically indeterminate cases.. (6) Draw the shear force and bending moment diagrams and calculating bending stress of the beams made of homogeneous and composite materials that behaves a linear elastic manner. (7) Develop a method for finding the shear stress in a beam having a prismatic cross section made from homogeneous material that behaves in a linear-elastic manner. (8) Finding the stresses for thin walled pressure vessels and for members loaded in axial, torsional, bending and shear acting simultaneously on a member’s cross-section. (9) Express the plane-stress transformation from one coordinate system into components with a coordinate system having a different orientation. The principal stresses and the maximum in plane shear stress using the Mohr’s circle method. (10) Express the plane-strain transformation from one coordinate system into components with a coordinate system having a different orientation. The principal strains and the maximum in plane shear strain using the Mohr’s circle method. (11) Design a beam and shaft to resist both to bending and shear loads. (12) Determine the deflection and slope of beams and shats using the integration method and the method of superposition. (13) Determine the axial load needed to buckle an ideal column. (14) Determine the buckling of columns subjected to an axial compressive load. Method No Percentage Midterm Exam 1 30% Lab. And Quiz Min 2 20 % Assessment Homework(s) Min 5 10 % Final Examination 1 40% Credit Hours for: Mathematics & Basic Science :1 Engineering Sciences and Design : 3 General Education : 0 Relationship of Course to Program Outcomes The course has been designed to contribute to the following program outcomes: (a) apply knowledge of mathematics, science, and engineering (b) design and conduct experiments, as well as analyze and interpret data. (e) identify, formulate, and solve engineering problems (k) use the techniques, skills, and modern engineering tools necessary for engineering practice Grading System GRADE A AB+ B BC+ C CD+ D DF NG I W PERCENTAGE 85-100 80-84 75-79 70-74 66-69 63-65 60-62 57-59 54-56 50-53 45-49 0-44 NO GRADE INCOMPLETE WITHDRAWN GPA 4.0 3.7 3.3 3.0 2.7 2.3 2.0 1.7 1.3 1.0 0.7 0.0 Course Policies a) Attendance Students are expected to attend lectures, tutorials and/or practical sessions regularly throughout the semester. Students are expected to be punctual for class, enter classroom before the lecturer. Late comers will not be accepted in the class for that period if he/she is late 5 minutes after the lecture starts. However, if a student is absent, he/she must present an official written document stating the reason for being absent. b) Cheating Cheating is a serious offence. The minimum penalty for students who are caught cheating in a quiz or an exam is a score of zero in the relevant assignment or exam and send to the university disciplinary committee. c) Plagiarism Copying of any parts of the lab reports of other students is not allowed and, if found out, will result in an automatic zero for that report for both copier and copyee. Partners can discuss the experiment and results between themselves, but must each represent their own report. d) Handing in the Homeworks All home work must be presented on a-4 size white-plain papers. The first page will be the ‘title page’, which will include: code and name of the course, assignment number (such as homework no.2 etc.), student number & name (e.g. Submitted by # 981234 Ali Berk Tansay), and date due (e.g. March 14th. 2010, Monday). Left and right margins must be 2.5 cm each and nothing will be written within these spaces. Use similar margins at the top and bottom of each page. Start each problem on a new page. You do not however need to start from a new page for different sections of a problem. Write down the problem statement, complete with the necessary sketches, and identify what is given and what is to be found. Explain calculation sequence in words (i.e., do not simply write down a series of equations). When equations are used each symbol in the equation need to be defined. Show actual calculated results to sufficient decimals before rounding off. Show details for your calculations and identify (label) your answers with a box. Never show a result without showing the algebraic substitutions first. For all graph and vector diagrams, label the axes and write down the scales used and units for each parameter. Use units consistently in all your analysis, formulations and calculations. Number each page consecutively and staple all pages together in the proper order. You must aim to achieve neat, clear, and professional like. Each question in a homework set will be graded on a 10 point scale. For each set of homework, up to 10 extra points may be earned based on the following criteria. a. Neatness = 2 points; b. Format and completeness = 2 points; c. Concept and approach = 4 points; and d. Mathematics = 2 points. You may study together, that is encouraged. You must however submit your own work. No copying from others! Eastern Mediterranean University Faculty of Engineering Department of Mechanical Engineering Assignment Cover Page Meng222-Strength of Materials (Spring 2012-13) Assignment # Student, Number :……………………… Name :……………………… Surname :……………………… Group:……………………… Due date Submitted on :…………………… :…………………… Instructor :………………….. QUESTION TOTAL MARKS d) Handing up of lab. reports All students (new or repeating) will attend to the Labs. Attendance is very important for labs. Experiments will be conducted under the assistant’s supervision with a group maximum three students must be in each group. Students are required to hand in their lab reports on time at the due one week of the experiment performed, submission at any other time until the end of the working period of the day will be considered as a late submission and evaluated with 50% discount, no submission accepted after the day. The Lab Report A lab report is required for each experiment. The report is due one week after the lab is completed. The format of the report consists of the following. a) A brief statement of the aim of the experiment. This may be paraphrased from the lab manual or from the books. b) The data and results, tabulated where appropriate. The presentation must be clear and complete, with units, uncertainties and appropriate numbers of significant figures. The equations and formulas used for deriving the results should be given, with a complete sample calculation. Do not leave out any data, if you feel that a datum should be ignored, explain your reasons for doing so. Propagation of uncertainties, note that for addition and subtraction, uncertainties are added, whereas for multiplication and division, the percentage of uncertainties are added. e.g. (A ± a) + (B ± b) = (A+B) ± (a + b), and (A ± a) x(B ± b)=(AB) ± (a + b)% c) In the discussion the experiment, the procedure, and the result should be discussed. Was the experiment appropriate for the aim? Was the procedure appropriate? Any suggestions for improvement? How reliable are the data? What were the sources of error? A good experimentalist carefully considers all sources of error and tries to minimizes them as much as possible. Be as quantitative as possible in your discussion of errors. That is, do not say that a certain factor will cause an error in a measurement, any one can say it. Try to estimate how large that error is likely to be, so that you can see whether it is significant or not. Some sources of error are more important than others, and one does not want to waste time and effort to remove minor sources. The aim of doing an error analysis is so that someone else can judge how reliable your results are. He or she can than decide whether or not to use them. Results reported without an error analysis are practically useless to others. Note that there are two general types of errors. Systematic errors are due to, e.g. improper calibration of the instrument; such errors cause a systematic shift of all measurement and lead to a biased or inaccurate result. Random errors cause measurements to be scattered, leading to an imprecise result. A precise result (small scatter) can still be inaccurate ( the average value disagrees with the actual). Conversely, an accurate result can be imprecise. Discuss whether the results are what you would expect from theory. Whenever possible, compare them with known or accepted values. Your values, with their uncertainties, should bracket the accepted values. If they do not, try to explain why. Resist the temptation to blame everything on poor equipment. In many ways the discussion section is the most important in a technical report. A technician can do an experiment under supervision, but it takes a trained scientist or engineer to explain what the results mean. d) A CONCLUSIONS section should be included, summing up the experiment and the results e) Makeup and Reseat Exams Makeup exam will be given for the missing midterm exam. The reseat exam will be given for the missing final exam or for the fail course (F, D-) or for the warning status. Makeup and reseat exams will be given only for the following legitimate reasons with official documentation. - Contacted a contagious disease - Hospitalization - Accident - Death of immediate family members No makeup exam will be given for QUIZES. No makeup exam will be given if no official documentation is presented or the lecturer is not informed within three days after the exams have taken place. An NG grade will be assigned to the student/s who have an absenteeism of more than 50% and missing exam. No reseat exam will be given to the NG grade Prepared by: Cafer Kızılörs Date Prepared: 25 February 2013