Statics of Rigid Bodies
DEFINITION
STATICS OF RIGID
BODIES
Mechanics
the study of the relationship among forces and
their effects on bodies.
the science which describes and predicts the
conditions for rest and motion of bodies under
the action of forces

EQUILIBRIUM OF PARTICLES, FREE
BODY DIAGRAMS
ES 11 Statics of Rigid Bodies
Lecture 2
EQUILIBRIUM OF A PARTICLE
A particle is said to be in equilibrium when
the resultant of all the forces acting on
it is zero.
EQUILIBRIUM OF A PARTICLE
If two forces are

Equilibrium of a Particle
in Space
Solution To System Of
Linear Equations
DETERMINANT
Diagonal Method
a11 a12
a21 a22
a31 a32
a13 a11 a12
a23 a21 a22 =+a11a22a33 +a12a23a31 +a13a21a32
a33 a31 a32 -a31a22a13 -a32a23a11 -a32a21a12
qThe products of the diago

VECTOR OPERATIONS
ES 11 Statics of Rigid Bodies
Lecture 3
SCALAR PRODUCT OF TWO VECTORS
(DOT PRODUCT)
The scalar product of two vectors P and Q is defined as the
product of the magnitudes of P and Q and of the cosine of
the angle formed by P and Q.
The re

RIGID BODIES: MOMENTS OF
FORCES AND COUPLES
ES 11 Statics of Rigid Bodies
Lecture 4
RIGID BODY
Treatment of a body as a single particle is not always possible.
In general, the size of the body and the specific points of
application of the forces must be

ES 13 2
nd
Exam Coverage
PROPERTIES OF MATERIALS
Consider,
P
P
Material
What maximum force P can the material sustain without
failure?
Pmax (or material strength) can be determined through
experiments.
THE TENSION AND COMPRESSION TEST
This experiment is

AMM for beams (position of horizontal tangent line is unknown).
Problem:
P = 100 kN
B
A
3m
1m
A beam is loaded as shown. Let the point where the load is applied be point D.
Determine the slope and deflection at point D.
Determine the maximum deflection (l