# ENGG 202 Lecture Notes - Lecture 1: Catamaran, Foreign Legion Detachment In Mayotte, Fluid Mechanics

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©S.L. Lissel, 2012 Page 1 of 92

ENGG 202

LECTURE NOTES

These notes are “fill in the blank”.

These notes are intended for use in all sections of

ENGG 202 in Winter 2013

The notes will be supplemented with additional information and

explanation by the instructor during lecture periods and are

intended to be used in conjunction with the course textbook.

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©S.L. Lissel, 2012 Page 2 of 92

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Table of Contents

©S.L. Lissel, 2012 Page 3 of 92

Topic Textbook Section Page #

Units and Definitions Chapter 1 4

Vectors – Review, Addition 2.1-2.3 5

Cartesian components in 2D 2.4 8

Cartesian components in 3D 2.5 10

Obtaining 3D vector components from planar angles 2.5 11

Direction cosines 2.5 10,12

Adding vectors in 3D 2.6 12

Postion, unit, and force vectors directed along a line 2.7-2.8 12

Vector Methods – Dot product 2.9 16

Uses of the dot product 2.9 16

Equilibrium of a particle 3.1 19

Free Body Diagram 3.2 19, 20

Equations of Equilibrium 3.3-3.4 19

Force Terminology 19

Springs, Cables and Pulleys 3.2 20

3D Equilibrium of a particle - examples 3.4 23

Moment of a force about a point, scalar moments 4.1 25

Vector Methods – Cross Product 4.2 27

Moments by vector products 4.3 28

Vector Methods – Mixed Triple Product 4.5 30

Moment of a force about a line/axis 4.5 31

Moment of a couple 4.6 34

Equivalent Systems (excluding wrenches) 4.7-4.8 38

Reduction of a System 4.8 39

Distributed Loads 4.9 43

Centroids of Simple Shapes - 44

Equivalent Concentrated Loads 4.9 45

Equilibrium of Rigid Bodies 5.1 47

Free Body Diagrams 5.2, 5.5 47

Support Reactions in 2D Table 5.1 47

Equations of Equilibrium in 2D 5.3 48

2 and 3 Force Members 5.4 51

Support Reactions in 3D 5.5, Table 5.2 55

Equations of Equilibrium in 3D 5.6 55

Analysis of Trusses 6.1 60

Method of Joints 6.2 61

Zero Force Members 6.3 63

Method of Sections 6.4 65

Analysis of Frames and Machines 6.6 69

Internal Forces in Members 7.1 76

Shear Force and Bending Moment Diagrams 7.2 79

Relationship between loads, shear, and bending moment 7.3 83

Friction 8.1, 8.2 85

Centroids and Centres of Gravity 9.1 89

Centroids of Composite Bodies 9.2 90