## **ENGG 130 - Engineering Mechanics**

**Subject & Number:** ENGG 130

**Title:** Engineering Mechanics

**Course Career** Graduate

**Units**: 3

**Approved Hours:** 3-0-2

**Fee index:** 8

**Faculty:** Engineering

**Department:**

**Typically Offered:** Either term

#### 

### Calendar Description

Equilibrium of planar systems. Analysis of statically determinate
trusses and frames. Friction. Centroids and centres of gravity. Forces
and moments in beams. Second moments of area. Note: Students in all
sections of this course will write a common final examination.
Corequisite: MATH 100.

### Course Objectives & General Content

Statics is the branch of mechanics concerned with particles and rigid
bodies that have zero acceleration.

The course content includes the analysis of loads (force, moment, and
equilibrium conditions) and the physical properties of rigid bodies
(e.g. frictional forces, center of gravity, and moment of inertia). The
knowledge from Eng G 130 will be needed for later courses, such as Eng
Phy 131, Civ E 270.

The course activities consist of lectures and labs, home assignments,
one midterm exam and one final exam. Home assignments need to be
completed weekly. Solutions to the home assignment problems will be
demonstrated in labs by teaching assistants and the instructor. (see
more details at the end of the syllabus).

Note: Students in all sections of this course will write a common final
examination.

### Learning outcomes

- Conduct basic vector operations for solving engineering mechanics
  problems such as dot product and cross product using force and
  position vectors etc.

- Draw free body diagrams for 2D and 3D particles and rigid bodies.

- Write & solve force equilibrium equations for particles in 2D and 3D.

- Calculate the moment of forces in 2D and 3D for solving engineering
  mechanics problems.

- Write & solve the force and moment equilibrium equations for rigid
  bodies in 2D and 3D.

- Analyze simple structures such as trusses, frames and machines for
  calculating the internal forces and internal moments.

- Employ the concept of static equilibrium for evaluation of the
  friction problems.

- Calculate centroids, centre of mass, and moments of inertia for
  application in EngG 130 and in subsequent courses.

### Graduate Attributes

\-

### Required Material

J. C. Hibbeler, 2016. "Engineering Mechanics, Statics, 14th Edition in
SI Units," Pearson

J. L. Meriam. "Engineering Mechanics, Statics\", SI Version, Wiley.

S. D. Sheppard. "Engineering Mechanics, Statics\", Wiley

### Weekly Plan

+------+------------------------------------------+---------+-------------+
| Week | Lecture                                  | Seminar | Lab         |
+------+------------------------------------------+---------+-------------+
| 1    | Vectors                                  |         | Assignment  |
|      |                                          |         | #1          |
|      | - Review of the basics                   |         |             |
|      |                                          |         |             |
|      | - Scalars and vectors                    |         |             |
|      |                                          |         |             |
|      | - Vector addition                        |         |             |
|      |                                          |         |             |
|      | - Cartesian vector notation              |         |             |
+------+------------------------------------------+---------+-------------+
| 2    | Vectors                                  |         | Assignment  |
|      |                                          |         | #2          |
|      | - Addition of Cartesian vectors          |         |             |
|      |                                          |         |             |
|      | - Position of vectors                    |         |             |
|      |                                          |         |             |
|      | - Force directed alone a line            |         |             |
|      |                                          |         |             |
|      | - Dot product                            |         |             |
+------+------------------------------------------+---------+-------------+
| 3    | Particle Equilibrium                     |         | Assignment  |
|      |                                          |         | #3          |
|      | - Particle Equilibrium                   |         |             |
|      |                                          |         |             |
|      | - Free body diagrams                     |         |             |
|      |                                          |         |             |
|      | - Co-planar and 3D force systems         |         |             |
+------+------------------------------------------+---------+-------------+
| 4    | Moments and Couples                      |         | Assignment  |
|      |                                          |         | #4          |
|      | - Vector cross product                   |         |             |
|      |                                          |         |             |
|      | - Moment of a force                      |         |             |
+------+------------------------------------------+---------+-------------+
| 5    | Force-Couple Systems                     |         | Assignment  |
|      |                                          |         | #5          |
|      | - Moment of a couple                     |         |             |
|      |                                          |         |             |
|      | - Reduction of a force and couple system |         |             |
|      |                                          |         |             |
|      | - Reduction of a simple distributed load |         |             |
+------+------------------------------------------+---------+-------------+
| 6    | Rigid Body Equilibrium                   |         | Assignment  |
|      |                                          |         | #6          |
|      | - Equilibrium in two dimensions          |         |             |
|      |                                          |         |             |
|      | - Two-force members                      |         |             |
+------+------------------------------------------+---------+-------------+
| 7    | Trusses                                  |         | Assignment  |
|      |                                          |         | #7          |
|      | - Plane trusses                          |         |             |
|      |                                          |         |             |
|      | - Method of joints                       |         |             |
|      |                                          |         |             |
|      | - Method of sections                     |         |             |
+------+------------------------------------------+---------+-------------+
| 8    | Frames and machines                      |         | Assignment  |
|      |                                          |         | #8          |
|      | - Frames and machines                    |         |             |
|      |                                          |         |             |
|      | - Internal forces in members             |         |             |
+------+------------------------------------------+---------+-------------+
| 9    | Internal forces; SFD & BMD               |         | Assignment  |
|      |                                          |         | #9          |
|      | - Shear force and bending moment         |         |             |
|      |   (equations and diagrams)               |         |             |
|      |                                          |         |             |
|      | - Relationships between distributed      |         |             |
|      |   load, shear force, and bending moment  |         |             |
+------+------------------------------------------+---------+-------------+
| 10   | Friction                                 |         | Assignment  |
|      |                                          |         | #10         |
|      | - Drive friction, wedges                 |         |             |
+------+------------------------------------------+---------+-------------+
| 11   | Centroids and centre mass                |         | Assignment  |
|      |                                          |         | #11         |
|      | - Centre of gravity, centroids           |         |             |
|      |                                          |         |             |
|      | - Centroids of integration and composite |         |             |
|      |   bodies                                 |         |             |
+------+------------------------------------------+---------+-------------+
| 12   | Moments of inertia                       |         | Assignment  |
|      |                                          |         | #12         |
|      | - Moments of inertia of areas            |         |             |
|      |                                          |         |             |
|      | - Parallel access the room               |         |             |
|      |                                          |         |             |
|      | - Moments of inertia by integration      |         |             |
+------+------------------------------------------+---------+-------------+
| 13   | Moments of inertia                       |         |             |
|      |                                          |         |             |
|      | - Moments of inertia of composite areas  |         |             |
|      |                                          |         |             |
|      | - Course review                          |         |             |
+======+==========================================+=========+=============+

####