1
2
Civil Engineering Mechanics
CVG2149
Elena Dragomirescu
Review:
Forces in Plane
Forces in Space
3
Forces and Vectors
Replacing multiple forces acting on a particle with a single equivalent or
resultant force
Relations between forces acting on a particl

13/09/2016
Civil Engineering Mechanics
CVG2149
LEC4
SHEAR, BENDING MOMENT
DIAGRAMS ON BEAMS
CH.7
Various Types of Beam Loading and
Support
Beam - structural member designed to support
loads applied at various points along its length.
Beam can be subject

Civil Engineering Mechanics
CVG2149
Elena Dragomirescu
What is Civil Eng. Mechanics?
Civil Eng. Mechanics is the science which describes and predicts the
conditions of rest or motion of bodies under the action of forces.
Categories of Mechanics:
- Rigid

21/09/2016
Civil Engineering Mechanics
CVG2149
LEC4
SHEAR, BENDING MOMENT
DIAGRAMS ON BEAMS
CH.7
APPLICATION
SOLUTION:
N/m
Taking entire beam as free-body,
calculate reactions at A and B.
N
m
m
m
m
m
Draw the shear and bending moment
diagrams for the bea

Civil Engineering Mechanics
CVG2149
LEC10
Impact
Circular motion
Oblique Central Impact
Final velocities are
unknown in magnitude
and direction. Four
equations are required.
No tangential impulse component;
tangential component of momentum
for each part

Civil Engineering Mechanics
CVG2149
LEC9
Conservation of Energy
Impulse
Linear Momentum of a Particle
Replacing the acceleration by the derivative of the
velocity yields
dv
F ma m
dt
dL
m v
dt
dt
d
L linear
momentum
of the particle
Linear Momentum Cons

Civil Engineering Mechanics
CVG2149
LEC11
Conservation of Angular Momentum
Linear Momentum of a Particle
F ma
Replacing the acceleration by the derivative of the
velocity yields
dv
F m
dt
d
dL
m v
dt
dt
L linear momentum of the particle
1. Linear Mom

LEC1 Examples in Class
CVG2149: Civil Engineering Mechanics
1
Example Method 2
SOLUTION:
Four forces act on bolt A as shown.
Determine the resultant of the force on
the bolt.
Resolve each force into rectangular
components.
Determine the components of the

29/09/2016
Civil Engineering Mechanics
CVG2149
LEC7
Conservation of Energy
Impulse
1
29/09/2016
(Review GNG1107)
What happens with the object between
initial and final positions?
What do we need to describe a motion?
Ch11: Rectilinear Motion: Position,

21/09/2016
Civil Engineering Mechanics
CVG2149
LEC5
Moments of Inertia
Introduction Moments of Inertia
Previously considered distributed forces which were proportional to the
area or volume over which they act.
- The resultant was obtained by summing or

CVG2149 LEC2
Civil Engineering Mechanics
Analysis of Structures
TRUSSES
CABLES
Trusses and Frames
For the equilibrium of structures made of several
connected parts, the internal forces as well the external
forces are considered.
In the interaction be

27/09/2016
Civil Engineering Mechanics
CVG2149
LEC6
Moments of Inertia
1. Moment of Inertia (Second moment) of an Area
Consider distributed forces F whose magnitudes
are proportional to the elemental areas on which they
act and also vary linearly with th

Civil Engineering Mechanics
CVG2149
LEC12
System of particles
More than just two particles?
1
Chapter 14: System of particles
Linear and Angular
Momentum
Conservation of Momentum
Kinetic Energy
Work-Energy Principle.
Conservation of Energy
Principle