Deals with the equilibrium of bodies, those at rest or move with a
constant velocity.
Statics
is concerned with the accelerated motion of bodies
Dynamics
deals with the relations between externally applied loads
and their internal effects of the bodies. The bodies here are no longer rigid
instead it will experience deformation.
Strength of Materials
page 7 review
page 7 review
This component measures
the pulling (or pushing) action perpendicular to
the section. It is often denoted by P.
Px
AXIAL FORCE.
These are the
components of the total resistance to sliding
portion to one side of the exploratory section
past the other.
Py
, Pz SHEAR FORCES.
is usually
designated by V and its components by Vy
and
Vz
to identify their directions.
resultant force
This component measures the
resistance to twisting the member and is
commonly given the symbol T.
Mx
TORQUE.
These
components measure the resistance to bending
the member about y- or z- axis and are often
denoted merely by My or Mz
.
My
, Mz BENDING MOMENTS.
is the force per unit area and denoted
by the Greek letter σ (sigma).
Stress
indicates a tensile stress
(member in tension),
A positive sign
indicates a compressive stress (member in
compression).
a negative sign
The condition under which the stress is
constant or uniform is known as
simple stress.
can exist only if
the resultant of the applied loads passes
through the centroid of the cross-section.
A uniform stress distribution
-When applied loads cause one piece of a body to move beyond its
neighboring section,
-it is created
by forces operating parallel to or along the area resisting the forces,
-are referred to as tangential
stresses.
*Stress caused by shearing force (e.g. bolts, pins, rivets)
*Acts tangent or parallel to the resisting surface
*Results in shape change
SHEAR STRESS
are caused by forces acting perpendicular to the
areas on which they operate.
-often referred
to as normal stresses,
Tensile and compressive stresses
is denoted by Greek letter Tau (τ)
τ =V/A
Shearing stress
known as unit deformation, strain is the ratio of the change in length caused
by the applied force, to the original length.
where δ is the deformation and L is the original length, thus ε is dimensionless.
SIMPLE STRAIN
Contact Pressure between separate bodies
* Differs from normal stress which is the internal stress caused by a compressive
force.
* Examples: Soil pressure beneath a support, contact pressure between a rivet
and the side of its hole
BEARING STRESS
is a geometric quantity that measures the deformation of
a body.
strain
which characterizes
dimensional changes,
normal strain,
which describes distortion
shear strain,
the stress-strain diagram is a straight line
from the origin O to a point
proportional limit.
is a material property known as the modulus of elasticity or Young’s
modulus.
E