Concordia University Faculty of Engineering & Computer Science

ENGR 243/4 - DYNAMICS

COURSE PLAN AND OBJECTIVES - WINTER 2011 Course No: ENGR 243/4 - DYNAMICS - Section V Instructor: Dr. Ted Stathopoulos, Department of Building, Civil and Environmental Engineering

Office: S-EV 6.125, Tel: 848-2424 x 3186, E-mail: statho@bcee.concordia.ca Lectures: Days: W, F Time: 10:15 - 11:30 Room: H-507 Tutorials: Days: W Time: 14:45 - 16:25 Room: H-523, H-621 M Time: 11:45 – 13:25 Room: H-400 2 Text: Vector Mechanics for Engineers – Dynamics by F.P. Beer, E.R. Johnston, Jr.,& W.E. Clausen, Eighth Edition in SI Units, McGraw-Hill, 2008

(or Vector Mechanics for Engineers – Dynamics, by F.P. Beer & E.R. Johnston, Jr., 5th/6thor 3rd/7th Metric Edition, McGraw-Hill, 1988/1997/1999/2004)

Objectives:

To develop the basic concepts and principles of Kinematics and Dynamics, as well as the ability to apply them in a systematic and logical manner for the solution of simple problems.

Final Exam: Written, 3h, closed book. Grade in Final Exam must be ≥ 50% in order to pass this course.

Only non-programmable certified calculators are allowed. Standard formulae will be provided for all examinations.

Course Grading: Test 1 20 marks

Test 2 20 marks Final Examination 60 marks

TENTATIVE COURSE OUTLINE. The contents of each lecture in terms of the reference text sections, and the approximate dates are listed below:

WEEK #

WEEK STARTING

LECTURE #

CONTENTS (SECTIONS)

TOPICS

1

2

3

4

5

6

7

8

9

10

11

12

13

14

Jan. 3

Jan. 10

Jan. 17

Jan. 24

Jan. 31

Feb. 7

Feb.14

Feb. 21

Feb. 28

March 7

March 14

March 21

March 28

April 4

1 2 3 4 5 6 7 8 9

10 -

12 13 14 -

15 16 17 18 19 20 21 -

23 24 25 26

11.1 – 11.3 11.4 – 11.6

11.9 – 11.12 11.13 – 11.14

15.1 – 15.4 15.5, 15.6 15.7, 15.8

15.10, 15.11 12.1 – 12.6

12.7 – 12.10 TEST 1

16.1 – 16.7 16.8

Applications Break

13.1 – 13.4 13.5 – 13.8 17.1 – 17.5 17.6, 17.7

13.10, 13.11 13.12, 13.13 13.14, 13.15

TEST 2 17.8 – 17.10 17.11, 17.12

Review //

Kinematics of Rectilinear Motion of Particles

Kinematics of Curvilinear Motion of Particles

Kinematics of Plane Motion of Rigid Bodies

Instantaneous Center of Rotation Coriolis Acceleration Kinetics of Particles

Newton’s Second Law of Motion (Chs. 11, 15)

Kinetics of Rigid Bodies Moments, Angular Acceleration

-

Work and Energy Methods for Particles

Work and Energy Methods for Rigid Bodies

Impulse and Momentum Methods, and Impact of Particles

(Chs. 12, 16, 13.1-8)

Impulse and Momentum Methods, and Impact of Rigid Bodies

ENGR 243/4 - DYNAMICS

SCHEDULE OF TUTORIALS AND ASSIGNMENTS

WINTER 2011

# TUTORIALS ASSIGNMENTS 1. Review: Center of Mass of Rigid Bodies, Derive the expressions for the coordinates of the Center of

Mass Moments of Inertia Mass, and the expressions for the Mass Moments of Inertia for homogeneous: (i) Bar (with respect to axis ⊥ to bar at midpoint and

endpoint) (ii) Rectangular Lamina (with respect to in plane center

line ⊥ to edge, edge, axis ⊥ at center of mass) (iii) Circular Lamina (with respect to axis ⊥ to lamina at

center, and at point on periphery) (iv) Semicircular Lamina (with respect to axis ⊥ to

lamina at center and at center of mass) 2. 11.5, 11.12, 11.21, 11.41, 11.50 11.6, 11.26, 11.46, 11.49, 11.52 3. 11.102, 11.106, 11.123, 11.135, 11.189 11.105, 11.115, 11.130, 11.150, 11.185 4. 15.9, 15.23, 15.51, 15.69 15.5, 15.31, 15.41, 15.56, 15.70 5. 15.95, 15.121, 15.127, 15.160 15.77, 15.87, 15.123, 15.130, 15.170 6. 12.13, 12.30, 12.70, 12.89 12.6, 12.31, 12.68, 12.88, 12.92 7. 16.9, 16.30, 16.85, 16.94 16.25, 16.49, 16.107, 16.131 8. Review – 9. 13.11, 13.39, 13.47, 13.54, 13.57 13.21, 13.48, 13.58, 13.61, 13.63 10. 17.9, 17.12, 17.33, 17.34, 17.42 17.11, 17.14, 17.18, 17.35, 17.53 11. 13.129, 13.140, 13.159, 13.186, 13.187 13.133, 13.149, 13.178, 13.188, 13.189 12. 17.60, 17.72, 17.90, 17.102, 17.123 17.62, 17.84, 17.86, 17.97, 17.117 13. Review _ Note: Assignments are to be kept in a binder for review and study. CEAB graduate attribute to be taught in ENGR 243: Problem Analysis, i.e. an ability to use appropriate knowledge and skills to identify, formulate, analyze and solve complex engineering problems in order to reach substantiated conclusions. This attribute will be taught in the lectures by solving several sample problems and in the tutorial via specified problems. This attribute will be practiced when students solve their assigned problems. Finally, this attribute will be evaluated in the term tests and the final exam of this course.

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