King Fahd University of Petroleum & Minerals
Department of Civil and Environmental Engineering
CE 201- Statics
Key Solution of Assignment 2 (Chapter 3) - Term 151
(Reference: Engineering Mechanics - S
2/5/2015
Lecture 7
DOT PRODUCT
APPLICATIONS
For this geometry, can you determine angles
between the pole and the cables?
For force F at Point A, what component of it (F1)
acts along the pipe OA? Wha
CE 201 - Statics
Chapter 3
Section 3.4
Three-Dimensional Force Systems
Particle will be in equilibrium if F = 0
In 3-D problems, this can be expressed as:
Fx i + Fy j + Fz k = 0
Therefore, for a parti
CE 201 - Statics
Chapter 3
Section 3.3
Coplanar Force System
All forces lie in the x-y plane.
Each force can be resolved into
its two rectangular components Fx
and Fy.
If the particle is in equilibriu
CE 201 - Statics
Chapter 4
Sections 4.1 and 4.2
FORCE SYSTEM RESULTANTS
So far, we know that for a particle to be in equilibrium, the
resultant of the force system acting on the particle is to be
equa
CE 201 - Statics
Lecture 2
Sections 2.1 2.3
Contents
Scalars
and Vectors
Vector Operations
Multiplication and Division of Vectors
Addition of Vectors
Subtraction of vectors
Resolution of a Vector
CE 201 - Statics
Chapter 2
Sections 2.5 and 2.6
CARTESIAN VECTORS
We knew how to represent vectors in the
form of Cartesian vectors in two
dimensions. In this section, we will look
into how vectors ca
CE 201 - Statics
Chapter 2
Sections 2.7 and 2.8
Contents
Position Vectors
Force Vector
Directed along a Line
POSITION VECTORS
If a force is acting between two points, then
the use of position vector w
CE 201 - Statics
Lecture 3
Section 2.4
ADDITION OF A SYSTEM OF COPLANNAR
FORCES
If we have more than two forces, the
resultant can be determined by successive
applications of the parallelogram law.
Ho
CE 201 - Statics
Chapter 4
Sections 4.3 and 4.4
MOMENT OF A FORCE-VECTOR
FORMULATION
In scalar formulation, we have seen that the moment of a force F
about point O or a bout a moment axis passing thro
CE 201 - Statics
Chapter 8
Sections 8.1 and 8.2
FRICTION
We
used to assume that surface of contact
between two bodies are smooth
Reaction is assumed normal to surface of
contact
F
In
reality, surface
CE 201- Statics
Chapter 9
Section 9.3
COMPOSITE BODIES
A
composite body consists of simpler bodies
connected together (triangle, rectangle, .)
A composite body can be sectioned into its
composite part
CE 201 - Statics
Chapter 6
Section 6.4
THE METHOD OF SECTIONS
The method of sections is
based on the fact that if a
body is in equilibrium, then
any part of the body is in
equilibrium. This method
can
CE 201 - Statics
Chapter 6
Sections 6.2 and 6.3
THE METHOD OF JOINTS
All joints are in equilibrium since the truss is
in equilibrium. The method of joints is
applied using equilibrium equations at eac
CE 201 - Statics
Chapter 10
Sections 10.1, 10.2 and 10.5
MOMENTS OF INERTIA
Objective
Develop
a method for determining the moment of inertia
for an area
Moment of inertia is an important parameter t
CE 201 - Statics
Chapter 7
Section 7.1
INTERNAL FORCES
Internal
Forces Developed in Structural
Members (2-D)
Internal
Forces Developed in Structural
Members (3-D)
Internal Forces Developed in Structur
CE 201 - Statics
Chapter 10
Lecture 1
MOMENTS OF INERTIA
Objective
Develop
a method for determining the
moment of inertia for an area
Moment of inertia is an important parameter
to be determined when
CE 201- Statics
Chapter 9
Sections 9.1 and 9.2
CENTER OF GRAVITY AND
CENTROID
The following will be studied
Location of center of gravity (C. G.) and
center of mass for discrete particles
Location of
CE 201 - Statics
Chapter 2
Section 2.9
Contents
Dot
Product
DOT PRODUCT
Dot product is the method of multiplying two
vectors and is used to solve three-dimensional
problems.
If A and B are two vectors
CE 201 - Statics
Chapter 3
Sections 3.1 and 3.2
EQUILIBRIUM OF A PARTICLE
CONDITION FOR THE EQUILIBRIUM OF A
PARTICLE
A particle is in EQUILIBRIUM if:
1. it is at rest, OR
2. it is moving with constan
1/29/2015
Lecture 3
Scalar Notation
x and y axes are designated positive and
negative
Components of forces expressed as algebraic
scalars
F Fx Fy
Fx F cos and Fy F sin
1
1/29/2015
F
Fx and Fy are +ve
1/28/2015
Lecture 2
SCALARS AND VECTORS
Scalar Quantities
A scalar is a quantity that has only magnitude, either
positive or negative.
For example, mass, volume, and length are the scalar
quantities
1/29/2015
CARTESIAN VECTORS
Lecture 4
CARTESIAN VECTORS
Todays Objectives:
Represent a 3-D vector in a Cartesian
coordinate system.
Find the magnitude and coordinate
angles of a 3-D vector
Add vect
1/29/2015
Position Vectors, Force along a Line
Lecture 5 and 6
Position Vectors & Force Vectors
Todays Objectives:
Represent a position vector in
Cartesian coordinate form, from given
geometry.
Repr
2/5/2015
Lecture 8
EQUILIBRIUM OF A PARTICLE & FREE-BODY
DIAGRAMS
EQUILIBRIUM OF A PARTICLE & FREE-BODY
DIAGRAMS
Todays Objectives:
Students will be able to :
a) Draw a free body diagram
(FBD), and,
b
King Fahd University of Petroleum & Minerals
Department of Civil and Environmental Engineering
CE 201- Statics
Assignment 1 (Chapter 2) - Term 142
(Reference: Engineering Mechanics - Statics by Hibbel
CE 201 Statics
Quiz# 1b
Name:. ID#:. Serial#:.
Given the below information, determine the magnitude and direction of the resultant
force for the force system shown in the figure. Express the resultant
711. Determine the internal normal force, shear force,
and moment at points D and E in the compound beam.
Point E is located just to the left of the 10-kN concentrated
load. Assume the support at A is
CENTER OF GRAVITY, CENTER OF MASS AND
CENTROID FOR A BODY
Objective :
Students will:
a)
Understand the concepts of center of
gravity, center of mass, and centroid.
b)
Be able to determine the location