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PHILADELPHIA UNIVERSITY
Department of Civil Engineering
STATICS
(CE211)
CHAPTER 1
General Principles
Instructor:
Eng. Abdallah Odeibat
Civil Engineer, Structures , M.Sc.
1
1.1 MECHANICS
 Mechanics is a branch of the physical sciences
that is concerned with the state of rest or motion
of bodies that are subjected to the action of
forces.
 Statics deals with the equilibrium of bodies,
that is, those that are either at rest or move with
a constant velocity
2
•Categories of Mechanics:
- Rigid bodies
• Statics
• Dynamics
- Deformable bodies
- Fluids
1.2 FUNDAMENTAL CONCEPTS
(BASIC QUANTITIES)
 Length is used to locate the position of a point
in space and thereby describe the size of a
physical system. Once a standard unit of length
is defined, one can then use it to define distances
and geometric properties of a body as multiples of
this unit.
 Time is conceived as a succession of events.
Although the principles of statics are time
independent, this quantity plays an important
role in the study of dynamics.
3
FUNDAMENTAL CONCEPTS
(BASIC QUANTITIES)
 Mass is a measure of a quantity of matter that is
used to compare the action of one body with that of
another. This property manifests itself as a
gravitational attraction between two bodies and
provides a measure of the resistance of matter to a
change in velocity.
 Force. In general, force is considered as a “push”
or “pull” exerted by one body on another. This
interaction can occur when there is direct contact
between the bodies, or it can occur through a distance
when the bodies are physically separated. In any
case, a force is completely characterized by its
magnitude, direction, and point of application.
4
FUNDAMENTAL CONCEPTS
(IDEALIZATIONS)
 Particle has a mass, but a size that can be
neglected. For example, the size of the earth is
insignificant compared to the size of its orbit, and
therefore the earth can be modeled as a particle
when studying its orbital motion.
 Rigid Body can be considered as a combination
of a large number of particles in which all the
particles remain at a fixed distance from one
another, both before and after applying a load.
 Concentrated Force represents the effect of a
loading which is assumed to act at a point on a
body. 5
NEWTON’S THREE LAWS OF
MOTION
 First Law. A particle originally at rest, or
moving in a straight line with constant velocity,
tends to remain in this state provided the particle
is not subjected to an unbalanced force.
 Second Law. A particle acted upon by an
unbalanced force F experiences an acceleration a
that has the same direction as the force and a
magnitude that is directly proportional to the
force.
 Third Law. The mutual forces of action and
reaction between two particles are equal,
opposite, and collinear. 6
NEWTON’S THREE LAWS OF
MOTION
 First Law
 Second Law.
 Third Law.
7
NEWTON’S LAW OF
GRAVITATIONAL ATTRACTION
8
2
2
2
1
,
R
GM
g
mg
W
r
m
m
G
F 


1.3 UNITS OF MEASUREMENT
9
CONVERSION OF UNITS.
10
1.4 THE INTERNATIONAL SYSTEM OF
UNITS (PREFIXES)
11
RULES FOR USE
12
13
14
15
16
HW1
17
HW1
18

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Ch 1.pdf

  • 1. PHILADELPHIA UNIVERSITY Department of Civil Engineering STATICS (CE211) CHAPTER 1 General Principles Instructor: Eng. Abdallah Odeibat Civil Engineer, Structures , M.Sc. 1
  • 2. 1.1 MECHANICS  Mechanics is a branch of the physical sciences that is concerned with the state of rest or motion of bodies that are subjected to the action of forces.  Statics deals with the equilibrium of bodies, that is, those that are either at rest or move with a constant velocity 2 •Categories of Mechanics: - Rigid bodies • Statics • Dynamics - Deformable bodies - Fluids
  • 3. 1.2 FUNDAMENTAL CONCEPTS (BASIC QUANTITIES)  Length is used to locate the position of a point in space and thereby describe the size of a physical system. Once a standard unit of length is defined, one can then use it to define distances and geometric properties of a body as multiples of this unit.  Time is conceived as a succession of events. Although the principles of statics are time independent, this quantity plays an important role in the study of dynamics. 3
  • 4. FUNDAMENTAL CONCEPTS (BASIC QUANTITIES)  Mass is a measure of a quantity of matter that is used to compare the action of one body with that of another. This property manifests itself as a gravitational attraction between two bodies and provides a measure of the resistance of matter to a change in velocity.  Force. In general, force is considered as a “push” or “pull” exerted by one body on another. This interaction can occur when there is direct contact between the bodies, or it can occur through a distance when the bodies are physically separated. In any case, a force is completely characterized by its magnitude, direction, and point of application. 4
  • 5. FUNDAMENTAL CONCEPTS (IDEALIZATIONS)  Particle has a mass, but a size that can be neglected. For example, the size of the earth is insignificant compared to the size of its orbit, and therefore the earth can be modeled as a particle when studying its orbital motion.  Rigid Body can be considered as a combination of a large number of particles in which all the particles remain at a fixed distance from one another, both before and after applying a load.  Concentrated Force represents the effect of a loading which is assumed to act at a point on a body. 5
  • 6. NEWTON’S THREE LAWS OF MOTION  First Law. A particle originally at rest, or moving in a straight line with constant velocity, tends to remain in this state provided the particle is not subjected to an unbalanced force.  Second Law. A particle acted upon by an unbalanced force F experiences an acceleration a that has the same direction as the force and a magnitude that is directly proportional to the force.  Third Law. The mutual forces of action and reaction between two particles are equal, opposite, and collinear. 6
  • 7. NEWTON’S THREE LAWS OF MOTION  First Law  Second Law.  Third Law. 7
  • 8. NEWTON’S LAW OF GRAVITATIONAL ATTRACTION 8 2 2 2 1 , R GM g mg W r m m G F   
  • 9. 1.3 UNITS OF MEASUREMENT 9
  • 11. 1.4 THE INTERNATIONAL SYSTEM OF UNITS (PREFIXES) 11
  • 13. 13
  • 14. 14
  • 15. 15
  • 16. 16