...
The
...
following
...
example,
...
which
...
demonstrates
...
the
...
implementation
...
of
...
...
...
...
analysis
...
,
...
considers
...
a
...
bridge
...
system
...
which
...
will
...
be
...
subjected
...
to
...
a
...
...
...
such
...
that
...
a
...
maximum
...
response
...
quantity
...
may
...
be
...
resolved.
...
Influence-based
...
analysis
...
proceeds
...
as
...
follows:
...
Step 1:
...
Obtain
...
deflected
...
shape
Software first generates lane-load
...
...
along
...
and
...
across
...
each
...
...
according
...
to
...
...
...
.
...
Deflected
...
shapes
...
are
...
then
...
obtained
...
by
...
placing
...
a
...
unit
...
load
...
at
...
each
...
lane-load
...
point
...
along
...
the
...
gravity
...
direction.
...
These
...
unit
...
loads
...
are
...
then
...
transferred
...
from
...
the
...
lane
...
surface
...
to
...
...
within
...
the
...
structural
...
system
...
according
...
to
...
their
...
tributary
...
distribution.
...
The
...
...
...
which
...
govern
...
this
...
transfer
...
of
...
load
...
path
...
may
...
be
...
reviewed
...
through
...
Display
...
>
...
Show
...
Lanes
...
>
...
Show
...
Structural
...
Connection
...
For
...
Selected
...
Point.
...
If,
...
for
...
example,
...
the
...
model
...
contains
...
1000
...
lane-load
...
points,
...
1000
...
deflected
...
shapes
...
will
...
be
...
calculated,
...
from
...
which
...
response
...
quantities
...
are
...
determined.
...
Step 2:
...
Obtain
...
influence
...
surfaces
...
for
...
response
...
quantities
...
of
...
interest
...
For
...
each
...
response
...
quantity
...
(reaction,
...
member
...
axial
...
force,
...
etc.),
...
the
...
...
...
is
...
then
...
derived
...
from
...
the
...
deflected
...
shapes
...
previously
...
calculated.
...
Values
...
are
...
exact
...
at
...
lane-load
...
point
...
locations,
...
and
...
linearly
...
interpolated
...
between
...
points.
...
Step 3:
...
Find
...
minimum
...
and
...
maximum
...
response
...
quantities
...
Once
...
the
...
influence
...
surface
...
is
...
generated,
...
a
...
software
...
algorithm
...
locates
...
vehicular
...
loading
...
such
...
that
...
minimum
...
and
...
maximum
...
effect
...
is
...
induced.
...
Response
...
is
...
enveloped
...
to
...
obtain
...
the
...
maximum
...
absolute
...
value.
...
Summary
In summary,
...
deflected
...
shapes
...
are
...
first
...
resolved
...
for
...
each
...
unit
...
influence
...
load,
...
then
...
the
...
influence
...
surface
...
is
...
calculated
...
for
...
each
...
response
...
quantity
...
as
...
vehicle
...
loads
...
move
...
along
...
the
...
structure.
...
Since
...
the
...
first
...
step
...
provides
...
for
...
analysis,
...
it
...
must
...
be
...
done
...
in
...
its
...
entirety,
...
then
...
the
...
second
...
and
...
third
...
steps
...
may
...
be
...
done
...
selectively
...
for
...
the
...
response
...
quantities
...
desired.
...
Computational
...
time
...
for
...
each
...
phase
...
of
...
analysis
...
may
...
vary
...
depending
...
on
...
model
...
parameters,
...
including
...
the
...
number
...
of
...
degrees
...
of
...
freedom,
...
lane-load
...
points,
...
vehicles
...
and
...
axles,
...
response
...
measures,
...
etc.
...
Additional
...
information
...
is
...
available
...
in
...
the
...
...
...
...
(Computation
...
Considerations,
...
page
...
467).
...