Backgrounds Framework 2 and 3- dimensional

The Framework program can be setup in the Dutch, English, German and Croatian language.
(translators sought for other languages; please do e-mail when you’re interested {around 6100 lines of text to translate}) 
 

What is the purpose of this computer program?

Beschrijving: Beschrijving: information about The Netherlands

 

This program can be used to calculate the statical force distribution and Eigenfrequencies in a 2 and 3 dimensional frame structure.

The program does try to combine a high degree of user comfort with rather advanced calculation techniques.

The program allows metaphorically speaking peeling off skin for skin. At each skin layer peeled the substantive difficulty increases, but the program operates at every level of peeling. For a novice user to the program it’s strongly recommended to start with the two-dimensional part of the program.

The principle of the onion implies that the program makes use of multiple windows which are successively opened by the user; each onion ring is, as it were, a separate window which is opened as a descendant of a previously opened window.

 
Content 2- dimensional
This program can be used to calculate the statical force
distribution and Eigenfrequencies in a 2 dimensional framework.
Statical calculation; linear elastic 2D
Statical calculation; GEOMETRIC non-linear 2D
Calculation of Eigenfrequencies 2D
Calculation of influence lines 2D
 
 
Content 3- dimensional 
This program can be used to calculate the statical force
distribution in a 3 dimensional framework.
Statical calculation; linear elastic 3D
Calculation of Eigenfrequencies 3D
 
Statical calculation; linear elastic 2D
Screen shots 
The program supports the following (calculation) capabilities:
 
 
For non-prismatic beams all options are supported as with prismatic beams
(all types of beam loads, eccentrically connections; spring connected beams,
hinges etc.). 
The stiffness matrix of a non-prismatic beam is determined according exact
analytical solutions.
The point load and the point moment as beam loads are also processed exactly
following analytical formulas; at non prismatic beams the other types of
beam loads are calculated by way of numerical integration (100 integration 
points per load type).
For prismatic beam loads, with the exception of the arbitrary distributed
beam load, all types of loads are processed at an exact analytical way.
 
 
Check input data
The input data for a problem can, next to a numerical input, also be shown
and input in a graphical window: for the case of the GEOMETRY, the BEAM
loads and the NODAL loads acting on the framework.
 
Output of the calculation results  (numerical and graphical)
The output is at first given in a numerical form; it concerns the
deformations and beam forces near the nodes.
By way of post processing the distribution of the forces along the beam axes
can be output.
Next to the numerical output the calculation data can also be shown at a
graphical way: force distribution per base load case and load combination at
the whole framework, separated per beam or per combination beam.
Also by clicking at the tabs the calculated stresses can be shown.
Further from the output data envelopes (maximum and minimum values) of
a number of BASE loads or load COMBINATIONS can be calculated and pictured.
The deformations of the framework can be plot as nodal displacements.
 
 
Statical calculation; GEOMETRIC non-linear 2D
Screen shots
For a geometrical non-linear calculation the second order terms of deformations
are accounted for; this results in a different force distribution in the framework
compared to linear calculation.
 
Because of the nature of a non-linear calculation the superposition principle
does not longer holds. Each base load case and load combination is calculated apart therefore.
 
Calculation of Eigenfrequencies 2D
Screen shots
With the aid of this option the natural frequencies and the accessory shapes
of vibration (the Eigenvectors) of a framework with fixed beam connections can
be calculated.
All shapes of vibration can be thought to consist out of a weighed summation
of all Eigenvectors (Fourier analysis).
Acts a load on the framework at a frequency approximately equal to a certain
Eigenfrequency then the appearing deformations are becoming very
large (and also the stresses). The lowest Eigenfrequency is most critical.
Often it will be attempted to keep the load frequency underneath the lowest
Eigenfrequencies; therefore mostly only the lowest Eigenfrequencies
(the first Eigenmodes) are of importance.
The frequencies of the maximum of traffic loads at a road bridge lies at 
about 10 Hz; the frequency of wind loads on buildings lies at about 0.1 Hz.
Even if there is no danger of strong resonance of the structure the dynamic
effect can cause a significant increase of the deformations and accordingly 
larger stresses.
 
The program does not account for material damping; with the majority of building
materials this effect can be ignored.
The vibration shapes with the lower Eigenfrequencies are calculates at the
largest accuracy  The vibration shapes are calculated in relation to the degrees
of freedom at the supplied nodes. In the case for the need of more detailed
information between the nodes, the beams can be divided in parts with the aid of
dummy nodes which should be input extra.
The calculated Eigenvectors are normalized at a maximum value of "1".
The real value is thus the provided value multiplied with a unknown constant; 
only the shape of the vibration is calculated.
Next to the beam properties in the nodes extra point masses can be input 
(mass and moment of inertion).
 
 
Calculation of influence lines 2D
Screen shots
With the aid of this option from every framework the influence lines can be 
calculated of normal forces, shear forces and moments.
Next to a single point load also influence lines of point load systems can be
output.
Except of numerical output (also stresses) a graphical reproduction is possible.
 
 
Statical calculation; linear elastic 3D
Screen shots 
The program supports the following calculation capabilities:
 
 
Check input data
The input data for a problem can, next to a numerical input, also be shown
and entered in a graphical window: for the case of the GEOMETRY, the BEAM
loads and the NODAL loads acting on the framework. It shown through a built in
spatial camera model (fully 3- dimensional)
 
Output of the calculation results (numerical and graphical)
The output is at first given in a numerical form; it concerns the
deformations and beam forces near the nodes.
By way of post processing the distribution of the forces along the beam axes
can be output.
Next to the numerical output the calculation data can also be shown at a
graphical way: force distribution per base load case and load combination at
the whole framework, separated per beam or per combination beam.
Further from the output data envelopes (maximum and minimum values) of
a number of BASE loads or load COMBINATIONS can be calculated and pictured.
The deformations of the framework can be plot as nodal displacements.
 
Calculation of Eigenfrequencies 3D
Screen shots
The 3D capabilities are equal to the 2D capabilities for the calculation of Eigenfrequencies.
The calculation or Eigenfrequencies is part of the supported earthquake multi modal response analysis (according to EN 1998-1); see further Earthquake load 3D. 
 
Statical calculation; GEOMETRIC non-linear 3D
For a geometrical non-linear calculation the second order terms of deformations
are accounted for; this results in a different force distribution in the framework
compared to linear calculation.
Because of the nature of a non-linear calculation the superposition principle
does not longer holds. Each base load case and load combination is calculated apart therefore.
 
Statical calculation; General Method Buckling 3D
The program does support the “General method” for lateral and lateral torsional buckling according Eurocode 3 (EN 1993-1-1; art. 6.3.4).
 
 
A general view of the program with some open windows:
 
 
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