Mechanics of Solids 2

Course Description:

Mechanics of Solids is the main foundation for both Mechanical and Civil Engineering in the upcoming design courses. Engineering design concepts are integrated into the Mechanics of Solids course. Methods in this class are learned for determining the stresses, strains and deflections produced in various members produced by applied loading. As a main core of the Mechanical Engineering discipline this course is to provide training in a fundamental subject (mechanics and structural) necessary for careers mechanical, civil and related engineering fields. This course covers a review on shear force and bending momentum diagrams, and an overall review of the course Solids of Mechanics I, as well as the following topics: transformation of stress and strain, analysis of thin walled members, principle stresses and stresses under combined loadings, failure criteria, the Mohr’s circle, the states of stress and strain, deflection of beams, indeterminate beams, theory of columns, energy methods and elastic energy, etc.

INFORMATION
Pre-requisite		Statics, Mechanics of Solids I
Co-requisite
Credit hours		2
Semester		Fall 2019
Periods per week		2 per week
Instructor		Mehdi Karevan, Ph.D. Mechanical Engineering/Nanotechnology, Georgia Inst. Of Tech (USA, 2008-2013)
Office		ME Department, Room 14
Phone		33916205
Email		mkarevan@cc.iut.ac.ir
TAs
Office hours		Any other time can be arranged with prior appointment
REQUIRED TEXTBOOKS AND MATERIALS
· Mechanics of Materials, E. Russell Johnston · Mechanics of Materials, James M. Gere · Class handouts · Slide presentations
How Can Attend?
این درس برای دانشجویان با پیش زمینه های پایه در علوم مکانیک و علم مواد و همچنین برای متخصصان و مهندسان رش ته هایی نظیر مهندسی مکانیک، مواد و هوافضا که علاقمند به آ ش نایی با مباحث و اصول طراحی جامدات و یا مایل به گسترش دانش خود در زمینه رفتارهای مکانیکی مواد مهندسی هستند طراحی شده است.
LEARNING OUTCOMES
	Upon successful completion of this course the student shall be able to: · Determine relationships between stress and strain and their transformation methods · Understand failure criteria and concept of principle stresses · Draw and calculate deflection of beams under different loading conditions · Analyze indeterminate beams · Determine the stored energy in the loaded structures · Understand how columns behave under compressive loads · Determine the internal forces in structural members. · Understand the relationships between applied loads, internal shear force and internal moment. · Determine stresses created in elements under combined loads · Calculate and determine stresses created in thin-walled structures · Calculate three dimensional stress and strain states
OUTLINE OF INSTRUCTION
	I. A: General knowledge: an overview of Mechanics of Solids I a. Introduction to the stress/strain concept b. Different forms of stress/strain: Normal v.s. shear c. Bending stresses and shear stresses d. Strain and elongation: different forms of an elastic deformation e. Concept of safety factor and stress concentration coefficient: Design B: Shear force and momentum diagrams: the integration method Concepts, math and drawing of V and M diagrams (maximum internal loads) II. Transformations of stress and strain a. Transformation of plane stress b. Principal Stresses and Maximum Shear Stresses c. Mohr’s circle in plane stress d. Hook’s law in plane stress e. General state of stress-3D stresses f. Mohr’s circle in 3D stress g. Yield criteria h. Stresses in thin-walled pressure vessels i. Transformation of plane strain j. Mohr’s circle for plane strain k. 3D analysis of strain l. Measurement of strain and actual examples III. Principle stresses under a given loading m. Principle stresses in a beam n. Transmission shafts o. Stresses in combined loadings IV. Deflection of beams a. Deformation under a transverse loading b. Elastic curve equation c. Direct deformation from the load distribution d. Indeterminate beams e. Singularity functions: slope and deflection of beams f. Superposition and indeterminate beams g. Moment area theorems: applications in symmetric and unsymmetrical loading h. Maximum deflection i. Unsymmetrical loading and application of the moment-area theorem V. Columns a. Stability of members b. Euler’s method for columns c. Generalization of the Euler’s method for two pin ended cases d. Eccentric loading: the Secant method e. Design of columns under eccentric and eccentric loading VI. Energy Methods a. Strain energy and energy density b. Elastic energy: normal and shear stresses c. Strain energy of the general state of stress d. Work and energy under single loadings e. Deflection under single loading by the energy method f. Work and energy under several loads g. Castigliano’s theorem h. Deflections by Castigliano’s theorem i. Statistically indeterminate structures
GRADING POLICY
	1- Class activity: 100% Home Work 30% Quizzes 50% Project 20% 2- Tests: 100% Midterm exam 50% Comprehensive final test 50% ___________________________________ Total of each part 100% · No reference materials or books will be allowed in any tests or final exam · Homework and projects will be due at the beginning of the next class period unless otherwise specified. · No “make-up” or “extra credit” assignments will be given
GENERAL POLICIES
	Class Cancellation Policy: If the class needs to be canceled, the instructor will notify students in advance and will assign numerical problems to be worked on or research reports to be prepared during the class period. Attendance Policy: Regular and punctual attendance in every class is mandatory. The penalty for more than 3 unexcused absences will result in 5 % reduction in the tabulated score for calculation of final grade. More than 4 unexcused absences will lead to dismissal from the course. Attendance will be taken at the start of each class session. If you are not present when attendance is taken, you will be counted absent for that day. For an absence or a tardiness to be excused, you must inform the instructor ahead of time. If you indeed have to miss a class due to unavoidable circumstances, you are responsible for all the announcements and materials presented in the class. Class Disruption Policy: 1. Cell phones must be turned off or put in the vibration mode during class or tests. 2. You must leave the class room to answer the cell phone calls. 3. Cell phones cannot be used during the class for text messaging. 4. Cell phones cannot be used during the tests or final examination in lieu of calculator. 5. Use of beepers, pagers, radio or earphones are not permitted during the class or tests. 7. Violation of any of the above will result in a deduction from the tabulated score for calculation of final grade.
Academic Dishonesty Policy
	It is illegal to falsify and/or otherwise misrepresent oral and/or written communications by the instructor. There are many items that fall under this category which may include but not limited to the following: i) Statements concerning dates assignments are due ii) Signature requirement iii) Bonus opportunities iv) Changes in course assignments v) Changes in grading protocol The intentional and/or otherwise misrepresentation(s) or erroneous disclosure(s) of information presented in the classes, lectures, labs and /or other consultations for personal gain represents unethical behavior and/or academic dishonesty in an attempt for personal gain. Such behavior(s) may possibly represent slander, and/or libel, and/or defamation of character which may possibly have legal ramifications. Students are encouraged to ask questions and consult each other while working on their assignments. However, sharing the work electronically or copying another student’s work by any method is strictly forbidden. If two or more students are found to share the same copy of a project, each will receive a grade of ‘0’ for that project. This penalty applies even if other students copied a student’s work without his/her permission. Therefore, it is very important that you safeguard your work, whether in printed or electronic form.