A
rectangular
cantilever
beam
rigidly
attached
to
a
wall
has
the
following
dimensions:
Length
L
=2000
mm;
Width
W
=
100
mm;
and
Height
H
=
30
mm.
Its
material
has
a
modulus
of
elasticity
of
100000
N/mm
2
which
can
vary
with
a
standard
deviation
of
500
N/mm
2
.
This
beam
is
submitted
to
a
point
load
P
(at
the
end
of
the
beam)
of
100
kgs
which
can
vary
with
a
standard
deviation
of
5
kgs.
The
picture
below
depicts
the
beam
in
question.
If
the
maximum
allowable
deflection
V
of
this
beam
is
12
mm,
determine
the
probability
of
failure
of
this
beam.
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