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3D Modeling Environment
for Curved Structures
For curved structures with a smaller radius of curvature,
it is appropriate to consider a 3D model for time
dependent analysis as well as other transverse and
torsion behavior. For this type of structure and analysis,
IDS offers BD3.
BD3 is essentially a 3D version of Bridge
Designer. In BD3 the members are 6 degree of freedom
beams and the displacement field is 3-dimensional
(3 translations and 3 rotations).
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Main Differences
between 2D and 3D:
BD3 is very similar to BD2, although it operates in
3D. All components (nodes, supports, segments, tendons,
etc…) are defined in a 3-dimensional space.
Because of this, there are key differences between
the two products that should be considered. Even though
great care was taken to provide a high level of compatibility
at the input level (close to 100%), there are implications
unique to a 3D model:
- Results are provided by BD3 in a 3-dimensional
displacement field. Therefore there are 6 degrees
of freedom per node (as opposed to 3 degrees of
freedom in BD2).
- The stiffness matrix of each element is a 144-term
matrix (as opposed to 36 terms in 2D). Even with
bandwidth optimization the overall stiffness matrix
is much larger, and so are all the components needed
in the analysis. Therefore, BD3 uses more memory
than BD2.
- Because of the 6 degrees of freedom, the internal
forces resulting form the 3D analysis which now
has 6 components, 3 force components (Fx, Fy and
Fz), and 3 bending moments (Mx, My and Mz). These
forces are produced for all the active members,
for all load-cases and all construction phases.
There is therefore a large amount of information
produced, and this encourages the use of a graphical
environment to view results.
- In order to be meaningful, results are shown
either in local or general systems. For example
it is appropriate to show the Mx moment (torsion)
expressed in local.
- Supports and Restraints may be defined in local
systems as well as in the general system, as dictated
by the bridge model (horizontal and vertical curvature).
- Post-Tensioning tendons are defined in 3D as
they are in BD2 as well. However, in BD3 there is
a difference between “internal” and
“external” tendons. Because of the overall
model geometry (for example horizontal curvature),
“external” tendons are assumed linear
between deviation points (anchors and deviation
blocks), and “internal” tendons, being
inside the concrete elements, follow the overall
model curvature.
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Compatibility between
2D and 3D Models
Overall, there is excellent compatibility between
BD2 and BD3. At the input level, any BD2 model is
usable in BD3 with some very limited minor adjustments.
BD3 will generate a full 3D post-tensioning layout
based on the input provided in a BD2 model input file,
saving a large amount of time in model preparation.
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