McMaster University                                                                                                     Department of Civil Engineering 
           Fall 2018                                                                                                                                       CE 4SD4  
                                           CE 4SD4 – Structural Dynamics and Earthquake Engineering 
           Instructor 
           Prof. Dimitrios Konstantinidis 
           Office: JHE-336 
           Office hours: Mon, Wed 2:00 - 3:00 pm, or by appointment  
           E-mail: konstant@mcmaster.ca 
           Teaching Assistant 
           Ms. Neda Salari (PhD candidate) 
           E-mail: salaritn@mcmaster.ca  
           Location and Time 
           Lecture:            Mon        12:30 - 1:20 pm  HH 217;  Tue   1:30 - 3:20 pm  HH 217 
           Tutorial:           Tue        3:30 - 5:20 pm      ETB 224 
           Course Overview 
           This is an introductory course in structural dynamics and its application to earthquake engineering. We will begin by looking at simple 
           structures called Single-Degree-of-Freedom (SDOF) systems that are subjected to time-dependent (dynamic) loading, such as, for 
           example, an earthquake. We will learn how to formulate the equations that describe the motion of such a system. Solution of these 
           equations provides us with the structural deformations, from which we will compute the corresponding forces. Analysis of these 
           simple systems subjected to earthquake loading naturally leads to fundamental concepts in earthquake engineering, such as the Seismic 
           Response Spectrum, an extremely powerful tool in seismic design. We will extend our discussion to more complicated structures, like 
           multi-storey buildings, that are called Multi-Degree-of-Freedom (MDOF) systems. We will learn methods that are used to simplify 
           seismic analysis and design of such complicated structures. Lastly, we will learn about the different seismic design provisions in the 
           building code. 
           Learning Outcomes 
           1.  Ability to identify when a structure can be modelled as a SDOF system and to formulate the equation that describes the motion of 
               such a system.  
           2.  Ability to analyze SDOF systems subjected to simple loading, e.g., impulses, constant force, ramp force, harmonic force. 
           3.  Ability to use time-stepping procedures (e.g., central difference, Newmark’s method) to compute the response of a SDOF system 
               subjected to earthquake excitation.  
           4.  Ability to compute new and use existing earthquake response spectra.  
           5.  Ability to formulate the matrix equation of motion of MDOF systems.  
           6.  Ability to use response history analysis and response spectrum analysis to compute the earthquake response of realistic structures. 
           7.  Ability to use realistic modelling assumptions to simplify complex structural dynamics problems. 
           8.  Familiarization with seismic design criterial in the National Building Code of Canada. 
           Prerequisites 
                    CE 2Q03 (Engineering Mechanics: Dynamics), CE 3G04 (Structural Analysis) 
                    Basic programming skills in Matlab (e.g., vector and matrix calculations, 2D plotting, for/while loops) 
           Required Textbook 
           Anil K. Chopra. Dynamics of Structures: Theory and Applications to Earthquake Engineering, 5th edition. Pearson, 2017. ISBN-10: 
           0134555120, ISBN-13: 9780134555126.  
           Optional Textbooks 
           If you feel that you need additional references to clarify or reinforce concepts covered in the course, you may find the following texts 
           useful (available on-reserve for the course at Thode Library): 
                    Raymond W. Clough and Joseph Penzien. Dynamics of Structures. McGraw-Hill. 
                    Jagmohan L. Humar. Dynamics of Structures. CRC Press/Taylor & Francis. 
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           McMaster University                                                                                                        Department of Civil Engineering 
           Fall 2018                                                                                                                                           CE 4SD4  
           Class Attendance and Avenue to Learn  
           Attendance in lecture and tutorial is required. If a student is unable to attend, they are responsible for getting the notes from a friend. 
           Students are expected to regularly check Avenue to learn for course announcements, homework assignments and solutions, etc. 
           Requests for Relief for Missed Academic Term Work - McMaster Student Absence Form (MSAF)  
           In the event of an absence for medical or other reasons, students  should  review  and  follow  the  Academic  Regulation  in  the 
           Undergraduate Calendar “Requests for Relief for Missed Academic Term Work.” 
           Assignments 
           There will be approximately 10 homework assignments. These assignments are primarily intended to allow students to apply theory 
           and to practice for midterms and the final. Solutions must abide by the following few but important rules: 
                1.    All pages should be stapled together, and the student’s name and number should appear on the first page of the solution. 
                2.    Solutions must be neat and well organized.  
                3.    The solution procedure must be clearly stated, followed by calculations.  
                4.    Principal results must be clearly identified (i.e., boxed or underlined).  
           The teaching assistant reserves the right to deduct up to 25% for assignments that do not follow these rules.  
           In many cases, a computer will be used to solve or aid in solving a problem. Make sure that the solution is presented in a complete and 
           readily understood format. Only significant, easily interpreted parts of computer output should be included in the problem solution—
           superfluous computer output should be avoided. 
           Late assignments will not be accepted. If a student has obtained an MSAF, the weight of the missed assignment will be transferred to 
           the final exam. It is understood that due to one reason or another, a student may not be able to submit an assignment; for this reason, 
           the lowest homework assignment score will be dropped in calculating the final grade, provided that the student has not missed more 
           than one assignment during the course. 
           Examinations 
           There will be two midterm exams and the final exam. The midterm exams are scheduled for 
                     Tuesday, October 16, 1:30-3:20 pm, Location: HH-217 
                     Tuesday, November 13, 1:30-3:20 pm, Location: HH-217 
           Note: The dates/times of the midterm exams are solid. There will be no make-up exams. It is the responsibility of the student to make 
           themselves available during these times.  
           Students will be allowed one 8.5x11" (letter) “crib sheet” with writing on both sides during examinations. 
           In the event that a student misses a midterm exam, an MSAF cannot be submitted. To be considered for relief, per University policy 
           (please refer to http://mcmaster.ca/msaf/), a student “must report to their Faculty Office to discuss their situation and will be required 
           to  provide  appropriate  supporting  documentation.”  If  the  Faculty  Office  approves  the  absence,  the  instructor  will  determine  the 
           appropriate relief. 
           Grading 
           Assignments 10%, Midterm Exams 25% each, Final exam 40% 
           Academic Integrity 
           You are expected to exhibit honesty and use ethical behaviour in all aspects of the learning process. Academic credentials you earn are 
           rooted in principles of honesty and academic integrity. Academic dishonesty is to knowingly act or fail to act in a way that results or 
           could result in unearned academic credit or advantage. This behaviour can result in serious consequences, e.g. the grade of zero on an 
           assignment, loss of credit with a notation on the transcript (notation reads: “Grade of F assigned for academic dishonesty”), and/or 
           suspension or expulsion from the university.  
           It  is  your  responsibility  to  understand  what  constitutes  academic  dishonesty.  For  information  on  the  various  types  of  academic 
           dishonesty please refer to the Academic Integrity Policy, located at www.mcmaster.ca/academicintegrity.  
           The following illustrates only three forms of academic dishonesty: 1. Plagiarism, e.g. the submission of work that is not one’s own or 
           for which other credit has been obtained. 2. Improper collaboration in group work. 3. Copying or using unauthorized aids in tests and 
           examinations. 
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                                    McMaster University                                                                                                                                                                                                                                                                                                                                                                                                          Department of Civil Engineering 
                                    Fall 2018                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       CE 4SD4  
                                    Discrimination 
                                    The Faculty of Engineering is concerned with ensuring an environment that is free of all discrimination. If there is a problem, 
                                    individuals are reminded that they should contact the Department Chair or the Human Rights Consultant, as the problem occurs. 
                                    Academic Accommodation of Students with Disabilities 
                                    Students  with  disabilities  who  require  academic  accommodation  must  contact  Student  Accessibility  Services  (SAS)  to  make 
                                    arrangements with a Program Coordinator. Student Accessibility Services can be contacted by phone 905-525-9140 ext. 28652 or e-
                                    mail  sas@mcmaster.ca.  For  further  information,  consult  McMaster  University’s  Academic  Accommodation  of  Students  with 
                                    Disabilities policy. 
                                    Note:  in recent years, scheduling an exam through SAS has been challenging if not done early in the semester because spots fill up 
                                    quickly. Students with approved SAS accommodations should contact SAS on the first week of classes to reserve a spot for the 
                                    midterm exam dates/times listed above.  
                                    Academic Accommodation for Religious, Indigenous or Spiritual Observances (RISO)  
                                    Students requiring academic accommodation based on religious, indigenous or spiritual observances should follow the procedures set 
                                    out in the RISO policy. Students requiring a RISO accommodation should submit their request to their Faculty Office normally within 
                                    10 working days of the beginning of term in which they anticipate a need for accommodation or to the Registrar's Office prior to their 
                                    examinations.  Students  should  also  contact  their  instructors  as  soon  as  possible  to  make  alternative  arrangements  for  classes, 
                                    assignments, and tests. 
                                    Notice Regarding Possible Course Modification 
                                    At certain points in the course it may make good sense to modify the schedule outlined below. The instructor reserves the right to 
                                    modify elements of the course and will notify students accordingly (in class and on Avenue to Learn). 
                                    Extreme Circumstances  
                                    The University reserves the right to change the dates and deadlines for any or all courses in extreme circumstances (e.g., severe 
                                    weather,  labour  disruptions,  etc.).  Changes  will  be  communicated  through  regular  McMaster  communication  channels,  such  as 
                                    McMaster Daily News, A2L and/or McMaster email. 
                                     
                                                                                                                                                                                                                                                                                        Syllabus 
                                     
                                                                       Part I: Single-Degree-of-Freedom (SDOF) Systems                                                                                                                                                                                                                                                                                             Reading from textbook 
                                                                       Equations of Motion; Overview of Solution Methods                                                                                                                                                                                                                                                                                           Chapter 1 
                                                                       Free Vibration                                                                                                                                                                                                                                                                                                                              § 2.1, 2.2 
                                                                       Response to Harmonic Excitation; Transmissibility; Energy Dissipated in                                                                                                                                                                                                                                                                     § 3.1, 3.2, 3.5, 3.6, 3.8, 3.9 
                                                                       Viscous Damping; Equivalent Viscous Damping 
                                                                       Response to Arbitrary Force; Earthquake Excitation                                                                                                                                                                                                                                                                                          § 4.1 – 4.5 
                                                                       Numerical Evaluation of Dynamic Response                                                                                                                                                                                                                                                                                                    § 5.1 – 5.4 
                                                                       Earthquake Response and the Response Spectrum                                                                                                                                                                                                                                                                                               Chapter 6 
                                                                       Part II: Multi-Degree-of-Freedom (MDOF) Systems  
                                                                       Equations of Motion                                                                                                                                                                                                                                                                                                                         § 9.1  9.4,  9.9  9.11 
                                                                       Free Vibration                                                                                                                                                                                                                                                                                                                              Chapter 10: Parts A and B 
                                                                       Dynamic Analysis and Response                                                                                                                                                                                                                                                                                                               Chapter 12: Parts A and B 
                                                                       Modal Analysis                                                                                                                                                                                                                                                                                                                              § 13.1, 13.2, 13.7, 13.8  
                                                                       Part III: Seismic Design 
                                                                       Modeling Assumptions; Reduction of Degrees of Freedom                                                                                                                                                                                                                                                                                       § 15.1  15.3  
                                                                       Canadian National Building Code (NBC) Provisions                                                                                                                                                                                                                                                                                            § 22.2, 22.5 
                                     
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