## **MEC E 362 Mechanics of Machines** **Subject & Number:** MEC E 362 **Title:** Mechanics of Machines **Course Career** **Units**: 3 **Approved Hours:** 3-0-1.5 **Fee index:** 8 **Faculty:** [Faculty of Engineering]{.mark} **Department:** Mechanical Engineering **Typically Offered:** either term or Spring/Summer ### ### Calendar Description Velocities and acceleration in plane mechanisms, balancing of rotating and reciprocating machinery, gears and gear trains. Prerequisite: MEC E 250. ### Course Objectives & General Content To be familiar with common mechanisms used in machine designs, and their force, velocity and acceleration analyses. ### Learning outcomes 1. Describe the kinematics of planar mechanisms 2. Use force analysis and energy principles to conduct a kinetic analysis of planar mechanisms 3. Appreciate the importance of gear tooth geometry for proper meshing of gears 4. Perform a kinematic analysis of gear trains including planetary gear systems 5. Determine force imbalance in rotating mechanical systems and propose methods to minimize the imbalance ### Textbooks and References [Recommended:]{.underline} Mechanics of Machines 2nd edition, by W L Kleghorn and N Dechev, Oxford ### ### Assessment Details --------------------------------------------------------------------------- **Activity** **(A)Synchronous** **Due/Scheduled** **Weight** ------------------- -------------------- --------------------- ------------ Assignments (6 for Asynchronous Thu (see course 10% best 5) outline) Quizzes (4) Synchronous In labs (see course 10% outline) Midterm exam Synchronous TBD 30% Final exam Synchronous Dec 14, 2023 50% --------------------------------------------------------------------------- ### Course Accreditation Units The current total and individual Accreditation Unit (AU) counts for this course are: ----------------------------------------------------------------- **Total** **Math** **NS** **ES** **ED** **CS** ------------ ------------ -------- ---------- ---------- -------- 47.3 33.1 14.2 ----------------------------------------------------------------- ### Course Graduate Attributes The Graduate Attributes (GAs) developed in this course are: --------------------------------------------------------------- **\#** **Graduate Attribute** **Level (I, D, A)** -------- ------------------------------------------ ----------- 1 A knowledge base for engineering (KB): D 2 Problem analysis (PA): A 3 Investigation (IN): 4 Design (DE): I 5 Use of engineering tools (ET): 6 Individual and team work (TW): 7 Communication skills (CS): 8 Professionalism (PR): 9 Impact of engineering on society and the environment (IS): 10 Ethics and equity (EE): 11 Economics and project management (EP): 12 Life-long learning (LL): --------------------------------------------------------------- ### Course Schedule +------------+---------------------+---------------------------------------+ | > **Week** | > **Date: Textbook | > **Topics** | | | > Sections** | | +------------+---------------------+---------------------------------------+ | > 1 | > 9/5: Chap 1.2-1.3 | > Course introduction, Skeleton | | | > | > diagram Gears | | | > 9/7: Chap 5.3-5.6 | | +------------+---------------------+---------------------------------------+ | > 2 | > 9/12: Chap | > Ordinary gear trains | | | > 6.1-6.2 | > | | | > | > Ordinary gear trains; Planetary | | | > 9/14: Chap | > gear trains | | | > 6.3-6.5 | | +------------+---------------------+---------------------------------------+ | > 3 | > 9/19: Chap | > Tabular analysis of planetary gear | | | > 6.5-6.6 | > trains and examples Tabular | | | > | > analysis; Differentials and | | | > 9/21: Chap 6.6 | > examples | +------------+---------------------+---------------------------------------+ | > 4 | > 9/26: Chap | > Kinematic chains and kinematic | | | > 1.4-1.5 | > pairs; Mobility Instantaneous | | | > | > centre of velocity (IC velocity) | | | > 9/28: Chap | | | | > 2.10^+^ | | +------------+---------------------+---------------------------------------+ | > 5 | > 10/3: Chap | > Kennedy's theorem and examples | | | > 2.11^+^ | > | | | > | > Kennedy's theorem; Relative | | | > 10/5: Chap | > velocity analysis | | | > 2.3-2.5^+^ | | +------------+---------------------+---------------------------------------+ | > 6 | > 10/10: Chap | > Relative acceleration analysis | | | > 2.6^+^ | > | | | > | > Special cases of relative | | | > 10/12: Chap | > acceleration analysis | | | > 2.7^+^ | | +------------+---------------------+---------------------------------------+ | > 7 | > 10/17: Chap | > Introduction to loop closure | | | > 4.1-4.3 | > equations and multiple loops Loop | | | > | > closure analysis and examples | | | > 10/19: Chap | | | | > 4.4.1-4.4.2 | | +------------+---------------------+---------------------------------------+ | > 8\* | > 10/24: Midterm | > Subjects to be covered: gears, gear | | | > Day | > trains, mobility, and IC velocity | | | > | > (Kennedy's theorem), relative | | | > (no lecture) | > velocity analysis | | | > 10/26: Chap | > | | | > 9.1-9.2 | > Loop closure analysis of 4-bar and | | | | > slider-crank mechanisms | +------------+---------------------+---------------------------------------+ | > 9 | > 10/31: Chap | > Force analysis of four-bar | | | > 9.4-9.5 | > mechanisms Force balancing of | | | > | > four-bar mechanisms | | | > 11/2: Chap 9.3 | | +------------+---------------------+---------------------------------------+ | > 10 | > 11/7: Chap | > Force analysis of slider crank | | | > 9.6.1-2 | > mechanisms Force balancing of | | | > | > slider-crank mechanisms | | | > 11/9: Chap 9.6.3 | | +------------+---------------------+---------------------------------------+ | > 11 | > 11/14: **(**no | > (Fall term break) | | | > class) 11/16: (no | | | | > class) | | +------------+---------------------+---------------------------------------+ | > 12 | > 11/21: | > Lumped-mass modelling principles - | | | > Multiple-cylinder | > acceleration, force analysis and | | | > engines | > balancing for slider-crank | | | > | > mechanisms | | | > 11/23: Examples | > | | | | > Force analysis and balance of | | | | > multiple-cylinder engines | +------------+---------------------+---------------------------------------+ | > 13 | > 11/28: (Lecture | > Examples of multiple-cylinder | | | > notes) 11/30: | > engines | | | > (Lecture notes) | > | | | | > Rate of work principle | +------------+---------------------+---------------------------------------+ | > 14 | > 12/5: (Lecture | > Rate of work principle | | | > notes) 12/7: | > | | | | > Final exam review | +------------+---------------------+---------------------------------------+ | | > **Final exam** | > **Tentative schedule: Dec 14 (R), | | | | > 9:00 -- 12:00** | +============+=====================+=======================================+ **Lab Schedule** +---------+---------+---------+--------------+---------------------+------------------+ | > **Lab | > **D1 | > **D2 | > **Sections | > **Topics** | > **Assn Due** | | > \#** | > (T)** | > (R)** | > in | | > | | | | | > Textbook | | > **(R before | | | | | > (2nd | | > 23:59)** | | | | | > ed.)** | | | +---------+---------+---------+--------------+---------------------+------------------+ | > 1 | > 9/12 | > 9/14 | > Chap | > Gears | | | | | | > 5.3-5.6 | | | +---------+---------+---------+--------------+---------------------+------------------+ | > 2 | > 9/19 | > 9/21 | > Chap | > Ordinary and | | | | | | > 6.1-6.2 | > planetary gear | | | | | | | > trains | | +---------+---------+---------+--------------+---------------------+------------------+ | > 3 | > 9/26 | > 9/28 | > Chap | > Planetary gear | | | | | | > 6.3-6.5 | > trains using | | | | | | | > tabular analysis | | +---------+---------+---------+--------------+---------------------+------------------+ | > 4 | > 10/3 | > 10/5 | > Chap 6.6 | > Quiz #1 \@15:30 | > Assn #1 Gears; | | | | | | > (Planetary gear | > Planetary Gear | | | | | | > trains); | > | | | | | | > | > Trains | | | | | | > Differential | | +---------+---------+---------+--------------+---------------------+------------------+ | > 5 | > 10/10 | > 10/12 | > Chap | > Mobility; | > Assn #2 | | | | | > 1.4-1.5 | > | > Tabular | | | | | > | > IC velocity | > analysis; | | | | | > Chap | > (Kennedy's | > Differentials; | | | | | > 2.10-2.11 | > theorem) | > | | | | | | | > Mobility | +---------+---------+---------+--------------+---------------------+------------------+ | > 6 | > 10/17 | > 10/19 | > Chap | > IC velocity | > Assn #3 IC | | | | | > 2.10-2.11 | > | > velocity | | | | | | > Quiz #2 \@16:00 | | | | | | | > (IC velocity) | | +---------+---------+---------+--------------+---------------------+------------------+ | | > 10/24 | > 10/26 | > (No labs) | > Midterm week | | +---------+---------+---------+--------------+---------------------+------------------+ | > 7 | > 10/31 | > 11/2 | > Chap | > Relative motion | | | | | | > 2.3-2.7 | > analysis Loop | | | | | | | > closure equation | | +---------+---------+---------+--------------+---------------------+------------------+ | > 8 | > 11/7 | > 11/9 | > Chap | > Quiz #3 \@15:30 | > Assn #4 Loop | | | | | > 4.1-4.4 | > (Loop closure | > closure | | | | | | > analysis) | > analysis | | | | | | > | | | | | | | > Force analysis | | | | | | | > and balancing | | +---------+---------+---------+--------------+---------------------+------------------+ | | > 11/14 | > 11/16 | > **(Fall | | | | | | | > break)** | | | +---------+---------+---------+--------------+---------------------+------------------+ | > 9 | > 11/21 | > 11/23 | > Chap | > Force balancing | | | | | | > 9.1-9.5 | | | +---------+---------+---------+--------------+---------------------+------------------+ | > 10 | > 11/28 | > 11/30 | > Chap 9.6 | > Multiple-cylinder | > Assn #5 Force | | | | | > Lecture | > engines | > balance | | | | | > notes | | | +---------+---------+---------+--------------+---------------------+------------------+ | > 11 | > 12/5 | > 12/7 | > Lecture | > Quiz #4 \@15:30 | > Assn #6 | | | | | > notes | > (Multiple- | > Multiple- | | | | | | > cylinder engines) | > cylinder | | | | | | > | > engines | | | | | | > Rate of work | | | | | | | > principle\*\* | | +=========+=========+=========+==============+=====================+==================+