APPLIED MECHANICS INTRODUCTION

1. INTRODUCTION OF APPLIED
MECHANICS
CIVIL 3RD SEM
DIGITAL CONTENT

2. Applied mechanics
• Applied mechanics describes the behavior of
a body, in either a beginning state of rest or of
motion, subjected to the action of
forces. Applied mechanics, bridges the gap
between physical theory and its application to
technology.

3. MECHANICS
• MECHANICS
The branch of applied mathematics dealing with
motion and forces producing motion.
Statics
Statics deal with the condition of equilibrium of
bodies acted upon by forces.
Dynamics is the study of forces on moving
bodies

4. ENGINEERING APPLICATIONS
• Applications of the equations of static
equilibrium
• Plane trusses
• Space trusses and shear force and bending
moment diagrams
• Cable support systems
• Coulomb friction and belt friction

5. FUNDAMENTAL UNITS

6. UNIT CONVERSION

7. CONCEPT OF RIGID BODY
• A rigid body is defined as a definite quantity of
matter, the parts of which are fixed in
• position relative to each other. Physical bodies
are never absolutely but deform slightly
• under the action of loads. If the deformation
is negligible as compared to its size, the
• body is termed as rigid.

8. PHYSICAL QUANTITIES

9. Laws of forces
• Forces definition, physical power or strength
possessed by a living being: He used all
his force in opening the window
• Point load that is also called as concentrated
load.
• Distributed load
• Coupled load

10. • Point load is that load which acts over a small
distance. Because of concentration over small
distance this load can may be considered as
acting on a point. Point load is denoted by P
• Distributed load is that acts over
a considerable length or you can say “over a
length which is measurable. Distributed load is
measured as per unit length.

11. EFFECT OF FORCE

12. Characteristics of force
• Force can introduce motion in a body.
• Force can change direction of a moving body.
• Force can change size of an object.
• Force is a vector quantity.
• Force can stop a moving body.
• Force has a unit of Newton(N) in M.K.S system
and dyne in C.G.S system.

13. FORCE SYSTEM

14. Principle of Transmissibility
• The principle of transmissibility states that the
point of application of a force can be moved
anywhere along its line of action without
changing the external reaction forces on a rigid
body.
• principle of superposition. ... Also known as
superposition theorem. (mechanics) The
principle that when two or more forces act on a
particle at the same time, the resultant force is
the vector sum of the two.

15. Method of composition of forces
• Method of Resolution is the most commonly
used method to calculate resultant of
many forces acting on a body. In Method of
Resolution we divide the forces into two
components one along X-axis and the other
along Y-axis

16. LAW OF FORCES
• 1TRIANGLE LAW OF FORCES
• If two forces acting at a point are represented
in magnitude and direction by the two
adjacent sides of a triangle taken in order,
then the closing side of the triangle taken in
the reversed order represents the resultant of
the forces in magnitude and direction.

18. The law of parallelogram
• The law of parallelogram of forces states that
if two vectors acting on a particle at the same
time be represented in magnitude and
direction by the two adjacent sides of
a parallelogram drawn from a point their
resultant vector is represented in magnitude
and direction by the diagonal of
the parallelogram drawn from the same point.

20. Free-body diagram
• Free-body diagrams are diagrams used to
show the relative magnitude and direction of
all forces acting upon an object in a given
situation. A free-body diagram is a special
example of the vector diagrams that were
discussed in an earlier unit.
These diagrams will be used throughout our
study of physics

21. Equilibrant force
• An equilibrant force is a force which brings a
body into mechanical equilibrium. ...
Therefore, an equilibrant force is equal in
magnitude and opposite in direction
to the resultant of all the other forces acting
on a body.

22. Lami's theorem
• Lami's theorem states that if
three forces acting at a point are
in equilibrium, each force
is proportional to the sine of the angle
between the other two forces. Consider
three forces A, B, C acting on a particle or
rigid body makingangles α, β and γ
with each other

24. CONCEPT OF MOMENT
Moment of force is the tendency of a force to
twist or rotate an object.
The SI unit for moment is the newton meter
(kgm^2s^-2). The Principle of Moment states
that when a system is in equilibrium the sum
of its CLOCKWISE MOMENTS equals the sum
of its ANTICLOCKWISE MOMENTS.

25. Varignon's theorem
• The moment of the resultant of two
concurrent forces with respect to a centre in
their plane is equal to the alzebric sum of the
moments of the components with respect to
some centre.

26. THE END
THANK YOU
PREPARED BY
WARISH KHAN SUKEDIYA
PH.D SCHOLAR