THE FEDERAL UNIVERSITY OF TECHNOLOGY, AKURE Department of Mechanical Engineering

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THE FEDERAL UNIVERSITY OF TECHNOLOGY, AKURE Department of Mechanical Engineering MEE 309 Strength of Materials II COURSE PARTICULARS Course Code: MEE 309 Course Title: Strength of Materials II No.

1 THE FEDERAL UNIVERSITY OF TECHNOLOGY, AKURE Department of Mechanical Engineering MEE 309 Strength of Materials II COURSE PARTICULARS Course Code: MEE 309 Course Title: Strength of Materials II No. of Units: 3 Course Duration: Two hours of theory and two hours of practical per week for 15 weeks. Status: Compulsory Course Address: mee309@gmail.com Course Webpage: Prerequisite: NIL COURSE INSTRUCTORS Engr. Dr. I. F. Titiladunayo Dept. of Mechanical Engineering, Federal University of Technology, Akure, Nigeria. Phone: iftitiladunayo@futa.edu.ng COURSE DESCRIPTION This course is designed for students of Mechanical Engineering to enhance their knowledge and proficiency in the design analysis of Structural materials such as beams, columns and shafts. This course meets the needs of students in machine design and assists the students to determine the behaviour/response of materials to bending moments, shearing stresses and strains. Students will learn the principle of beam deformation under static and dynamic loads and the relationship between the radius of curvature, bending moments, bending stresses and material s cross-sectional dimensions is established. Students will also learn the principle of Beam Deflection and establish the relationship between slope, deflection and radius of curvature for beams under various loading conditions. Methods of determining beam slope and deflection: Double integration method, Moment area method, Macaulay s method, etc will be taught. Further topics to be covered include: unsymmetrical bending and shear centre, 1

2 application of strain energy, biaxial and triaxial state of tresses, Mohr s cycle, normal stress, stress components; failure theories, creep, fatigue, fracture and stress concentration, factor of safety, thin walled section and concept of bimoment, development of slope deflection equations and matrix structural analysis programs. The students will finally be divided into groups and be made to develop slope, bending and deflection equations for solid and thin walled beams and to carryout matrix structural analysis programs on them. They are required to give group presentations which would be graded. COURSE OBJECTIVES The objectives of this course are to: introduce students to the design principles and theory of beams; and provide them with the opportunity to develop useful skills at predicting materials response to stresses and strains and determine materials susceptibility to failure. COURSE LEARNING OUTCOMES / COMPETENCIES Upon successful completion of this course, the student will be able to: (Knowledge based) understand the behaviour of materials to compound stresses and strains and the theory of elasticity/plasticity of materials, and explain stress analysis using analytical and Mohr s cycle approach; explain the principle and theory of bending and deflection of beams; understand strain energy, impact loading and theories of failure; comprehend Unsymmetrical bending and shear centre and solve problems on eccentric loading of beams; and develop slope, bending and deflection equations for solid and thin walled beams and carryout matrix structural analysis programs on them (Skills) proficient in the design and selection of beams and power transmission shafts; and evaluating materials response to stresses; and predicting materials susceptibility to failure. GRADING SYSTEM FOR THE COURSE 2

3 This course will be graded as follows: Laboratory work 10% Assignments 10% Test(s) 20% Final Examination 60% TOTAL 100% GENERAL INSTRUCTIONS Attendance: It is expected that every student will be in class for lectures and also participate in all practical exercises. Attendance records will be kept and used to determine each person s qualification to sit for the final examination. In case of illness or other unavoidable cause of absence, the student must communicate as soon as possible with any of the instructors, indicating the reason for the absence. Academic Integrity: Violations of academic integrity, including dishonesty in assignments, examinations, or other academic performances are prohibited. You are not allowed to make copies of another person s work and submit it as your own; that is plagiarism. All cases of academic dishonesty will be reported to the University Management for appropriate sanctions in accordance with the guidelines for handling students misconduct as spelt out in the Students Handbook. Assignments and Group Work: Students are expected to submit assignments as scheduled. Failure to submit an assignment as at when due will earn you zero for that assignment. Only under extenuating circumstances, for which a student has notified any of the instructors in advance, will late submission of assignments be permitted. Code of Conduct in Lecture Rooms and Laboratories: Students should turn off their cell phones during lectures. Students are prohibited from engaging in other activities (such as texting, watching videos, etc.) during lectures. Food and drinks are not permitted in the laboratories. READING LIST 4 Ferdinand, P. B, Russell, J. E., and John, T. D (2004): Mechanics of Materials. McGraw- Hill Boston Burr Ridge, IL. ISBN X. USA 1,4,5 Rajput, R. K. (2008): Strength of Materials. Published by S. Chand and Company Ltd. Ram Nagar, New Delhi India. 1,4,5 Khurmi, R. S. (2007): Strength of Materials. Published by S. Chand and Company Ltd. Ram Nagar, New Delhi India. 3

4 1,4 Bansalobert, R. K. (2007): Strength of Materials. Published by Laxmi Publications (P) Ltd. 113, Golden House, Daryaganji New Delhi India. Legend 1- Available in the University Library 2- Available in Departmental/School Libraries 3- Available on the Internet. 4- Available as Personal Collection 5- Available in local bookshops. COURSE OUTLINE Week Topic Remarks 1&2 Review topics in Bending Moments, Shear Forces and Deflection of Beams. Three moment equations. Mohr s cycle analysis of plane stresses. Students would review the basic concept of Strength of materials and recall the effect compound stresses and strain on material deformation; analyse material strength with basic equations; consider material properties / application in structures such as beams, columns, and power transmission such as in shafts etc 3-5 Theory of bending of beams 6 & 7 Deflection of beams Students would understand the principle of beam deformation due to bending and the relationship between the radius of curvature, bending moments, bending stresses and material s cross-sectional dimensions. Students would identify types of bending in beams and develop equations for different cases. Students would understand the principle of deflection of beams and establish the relationship between slope, deflection and radius of curvature. Students would also understand various methods of determining slope and deflection of beams: Double integration method, Moment area method, Macaulay s method, etc. 4

5 10 & 11 Application of strain energy. Biaxial and Triaxial state of tresses. Mohr s cycle. Normal stress, Stress components Students would understand Strain energy due to impact, bending, torsion and shear loads and develop strain energy equation for bending moment, deflection and slope in each case. Strain energy would applied to angular movements would be treated as Students understands the following theorems: Castigliano s theorems and Unit load method. Students would also learn Mohr s cycle analysis of stress and strain in beams. MID-SEMESTER TEST 12 Failure theories, creep, fatigue, fracture and stress concentration. Factor of safety. Thin walled section and concept of bi-moment 13 & 14 Thin walled section and concept of bi-moment. Development of slope, deflection equations and matrix structural analysis programs. Students would understand, failure theories in structural materials, creep, fatigue, fracture and stress concentration. Factor of safety. Thin walled section and concept of bimoment Students will be divided into groups and be made to develop slope, bending and deflection equations for solid and thin walled beams and carryout matrix structural analysis programs on them. They would be required to give group presentations which would be graded. 15 REVISION This is the week preceding the final examination. At this time, evaluation will be done to assess how far the students expectations for the course have been met. 5

THE FEDERAL UNIVERSITY OF TECHNOLOGY, AKURE. Department of Mechanical Engineering

THE FEDERAL UNIVERSITY OF TECHNOLOGY, AKURE Department of Mechanical Engineering MEE 413 Applied Thermodynamics COURSE PARTICULARS Course Code: MEE 413 Course Title: Applied Thermodynamics No. of Units: