CANTILEVER
6.53
METHOD
Group 3
WHAT IS A CANTILEVER?
A long projecting beam or girder fixed
at only one end. Cantilevers provide a
clear space underneath the beam
without any supporting columns or
bracing. Cantilevers became a
popular structural form with the
introduction of steel and reinforced
concrete. They are used extensively in
building construction, notably in:
Cantilever bridges.
2
DEFINITION
The cantilever method is an
approximate method for calculating
shear forces and moments developed
in beams and columns of a frame or
structure due to lateral loads. The
applied lateral loads typically include
wind loads and earthquake loads,
which
must
be
taken
into
consideration
while
designing
buildings.
3
THE CANTILEVER METHOD
The cantilever method is very similar to the portal method. We still
put hinges at the middles of the beams and columns. The only
difference is that for the cantilever method, instead of finding the
shears in the columns first using an assumption, we will find
the axial force in the columns using an assumption.
The assumption that is used to find the column axial force is that
the entire frame will deform laterally like a single vertical
cantilever. When a cantilever deforms laterally, it has a strain
profile through its thickness where one face of the cantilever is in
tension and the opposite face is in compression. Since we can
generally assume that plain sections remain the strain profile is
linear. The relative values of the tension and compression strain are
dependent on the location of the neutral axis for bending, which is
in turn dependent on the shape of the cantilever's cross-section
4
ASSUMPTIONS
1. An inflexion point occurs at the
midpoint of each girder/beam.
2. An inflexion point occurs at mid height
of each column.
3. In a storey, the intensity of axial stress
in a column is proportional to
its horizontal distance from the center
of gravity of all the columns in
that storey.
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5
STEPS IN SOLVING
1) Column axial loads
2) Girder shears
3) Girder moments
4) Column moments
5) Column shear
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SAMPLE PROBLEMS
SOLVING
Analyze the frame using Cantilever
Method. The columns are assumed to
have equal cross sectional areas.
SOLVING
SOLVING
SOLVING
MEET THE FULL TEAM
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SUMMARY
At Contoso, we believe in giving 110%. By using
energy efficient building methods, we help
commercial businesses grow and foster a
consumer first mindset. We thrive because of our
market knowledge and a great team behind our
product. As our CEO says, "Efficiencies will
come from proactively transforming how we do
business."
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THANK YOU
Mirjam Nilsson​
206-555-0146
mirjam@contoso.com
www.contoso.com
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