University of Ontario Institute of Technology (UOIT)
MECE 2230

Fall 2015
MECHANICS, UNITS, NUMERICAL CALCULATIONS &
GENERAL PROCEDURE FOR ANALYSIS
Todays Objectives:
Students will be able to:
a) Explain mechanics / statics.
b) Work with two types of units.
c) Round the final answer appropriately.
d) Apply problemsolving strat
University of Ontario Institute of Technology (UOIT)
MECE 2230

Fall 2015
THE METHOD OF SECTIONS
Todays Objectives:
Students will be able to determine:
1. Forces in truss members using the
method of sections.
APPLICATIONS
Long trusses are often used to construct large cranes and
large electrical transmission towers.
The method
University of Ontario Institute of Technology (UOIT)
MECE 2230

Fall 2015
SIMPLE TRUSSES, THE METHOD OF JOINTS, &
ZEROFORCE MEMBERS
Todays Objectives:
Students will be able to:
a) Define a simple truss.
b) Determine the forces in members of a
simple truss.
c) Identify zeroforce members.
APPLICATIONS
Trusses are commonly used
University of Ontario Institute of Technology (UOIT)
MECE 2230

Fall 2015
EQUATIONS OF EQUILIBRIUM &
TWO FORCE MEMEBERS
Todays Objectives:
Students will be able to:
a) Apply equations of equilibrium to
solve for unknowns, and,
b) Recognize twoforce members.
APPLICATIONS
A
The uniform truck ramp has a weight of 400 lb.
The ram
University of Ontario Institute of Technology (UOIT)
MECE 2230

Fall 2015
EQUILIBRIUM OF A RIGID BODY
&
FREEBODY DIAGRAMS
Todays Objectives:
Students will be able to:
a) Identify support reactions, and,
b) Draw a freebody diagram.
APPLICATIONS
The truck ramp has a weight of 400 lb.
The ramp is pinned to the body of the truck
University of Ontario Institute of Technology (UOIT)
MECE 2230

Fall 2015
SIMPLIFICATION OF FORCE AND COUPLE SYSTEMS
Todays Objectives:
Students will be able to:
a) Determine the effect of moving a
force.
b) Find an equivalent forcecouple
system for a system of forces and
couples.
APPLICATION
Several forces and a couple moment
University of Ontario Institute of Technology (UOIT)
MECE 2230

Fall 2015
MOMENT OF A COUPLE
Todays Objectives:
Students will be able to
a) define a couple, and,
b) determine the moment of a couple.
APPLICATIONS
A torque or moment of 12 N m is required to rotate the wheel.
Why does one of the two grips of the wheel above requir
University of Ontario Institute of Technology (UOIT)
MECE 2230

Fall 2015
MOMENT ABOUT AN AXIS
Todays Objectives:
Students will be able to determine the moment of a
force about an axis using
a) scalar analysis, and
b) vector analysis.
APPLICATIONS
With the force P, a person is creating a moment MA. Does all
of MA act to turn th
University of Ontario Institute of Technology (UOIT)
MECE 2230

Fall 2015
MOMENT OF A FORCE (SCALAR FORMULATION),
CROSS PRODUCT, MOMENT OF A FORCE (VECTOR
FORMULATION), & PRINCIPLE OF MOMENTS
Todays Objectives :
Students will be able to:
a) Understand and define moment, and,
b) Determine moments of a force in 2D and
3D cases.
University of Ontario Institute of Technology (UOIT)
MECE 2230

Fall 2015
THREEDIMENSIONAL FORCE SYSTEMS
Todays Objectives:
Students will be able to solve 3D particle equilibrium problems by
a) Drawing a 3D free body diagram, and,
b) Applying the three scalar equations (based on one vector
equation) of equilibrium.
APPLICATI
University of Ontario Institute of Technology (UOIT)
MECE 2230

Fall 2015
EQUILIBRIUM OF A PARTICLE, THE FREEBODY
DIAGRAM & COPLANAR FORCE SYSTEMS
Todays Objectives:
Students will be able to :
a) Draw a free body diagram (FBD), and,
b) Apply equations of equilibrium to solve
a 2D problem.
APPLICATIONS
The crane is lifting a l
University of Ontario Institute of Technology (UOIT)
MECE 2230

Fall 2015
DOT PRODUCT
Todays Objective:
Students will be able to use the vector dot
product to:
a) determine an angle between
two vectors, and,
b) determine the projection of a vector
along a specified line.
APPLICATIONS
If the design for the cable
placements requi
University of Ontario Institute of Technology (UOIT)
MECE 2230

Fall 2015
POSITION VECTORS & FORCE VECTORS
Todays Objectives:
Students will be able to :
a) Represent a position vector in Cartesian
coordinate form, from given geometry.
b) Represent a force vector directed along
a line.
APPLICATIONS
This ships mooring line,
conne
University of Ontario Institute of Technology (UOIT)
MECE 2230

Fall 2015
CARTESIAN VECTORS AND
THEIR ADDITION & SUBTRACTION
Todays Objectives:
Students will be able to:
a) Represent a 3D vector in a
Cartesian coordinate system.
b) Find the magnitude and
coordinate angles of a 3D vector
c) Add vectors (forces) in 3D
space
AP
University of Ontario Institute of Technology (UOIT)
MECE 2230

Fall 2015
Chapter 2
FORCE VECTORS
FORCE VECTORS, VECTOR OPERATIONS
& ADDITION COPLANAR FORCES
Todays Objective:
Students will be able to :
a) Resolve a 2D vector into components.
b) Add 2D vectors using Cartesian vector notations.
APPLICATION OF VECTOR ADDITION
T
University of Ontario Institute of Technology (UOIT)
MECE 2230

Fall 2015
FRAMES AND MACHINES
Todays Objectives:
Students will be able to:
a) Draw the free body diagram of a
frame or machine and its members.
b) Determine the forces acting at the
joints and supports of a frame or
machine.
APPLICATIONS
Frames are commonly used
to