Materials
for Beam:
The beams may be made from several usable engineering
materials such commonly among them are as follows:
Metal
Wood
Concrete
Plastic
Issues
Regarding Beam:
Designer would be interested to know the answers to following
issues while dealing with beams in practical engineering application
• At
what load
will it fail
• How
much deflection occurs under the application of loads.
Cantilever Beam: A beam
which is supported on the fixed support is termed as a cantilever beam:
Now let us understand the meaning of a fixed support. Such a support is
obtained by building a beam into a brick wall, casting it into concrete or
welding the end of the beam. Such a support provides both the translational and
rotational constrainment to the beam, therefore the reaction as well as the
moments appears, as shown in the figure below
Simply Supported Beam: The beams
are said to be simply supported if their supports creates only the
translational constraints.
Some times the translational movement may be allowed in one
direction with the help of rollers and can be represented like this
Statically
Determinate or Statically Indeterminate Beams:
The beams can also be categorized as statically determinate or
else it can be referred as statically indeterminate. If all the external forces
and moments acting on it can be determined from the equilibrium conditions alone
then. It would be referred as a statically determinate beam, whereas in the
statically indeterminate beams one has to consider deformation i.e. deflections
to solve the problem.
Types of
loads acting on beams:
A beam is normally horizontal where as the external loads
acting on the beams is generally in the vertical directions. In order to study
the behaviors of beams under flexural loads. It becomes pertinent that one must
be familiar with the various types of loads acting on the beams as well as their
physical manifestations.
A. Concentrated
Load: It is a kind of load which is considered to act at a point. By
this we mean that the length of beam over which the force acts is so
small in comparison to its total length that one can model the force as though
applied at a point in two dimensional view of beam. Here in this case, force or
load may be made to act on a beam by a hanger or though other means
B. Distributed
Load: The distributed load is a kind of load which is made to spread
over a entire span of beam or over a particular portion of the beam in
some specific manner
In the above figure, the rate of loading „q' is a
function of x i.e. span of the beam, hence this is a non
uniformly distributed load.
The rate of loading „q' over the length
of the beam may be uniform over the entire span of beam, then we
cell this as a uniformly distributed load (U.D.L). The U.D.L may be represented
in either of the way on the beams
some times the load acting on the beams may be the uniformly
varying as in the case of dams or on inclind wall of a vessel containing
liquid, then this may be represented on the beam as below:
The U.D.L
can be easily realized by making idealization of the ware house load, where the
bags of grains are placed over a beam.
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