Backgrounds Framework 2 and 3- dimensional

Different look of the program every day!!

 
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
 

Statical calculation; linear elastic 2D

Screen shots 
The program supports the following calculation capabilities:
 
 - nodal loads
 
 - seven types of beam loads: POINT LOAD, DISTRIBUTED LOAD,
 TRIANGULAR LOAD, BLOCK LOAD, MOMENT LOAD, ARBITRARY DISTRIBUTED
 LOAD and TEMPERATURE LOAD.
 
 - various BASE loads from where load COMBINATIONS can be composed.
 
 - all of a selection of the beams can possess continuous distributed
 springs along the beam axis.
 
 - the beams can be prismatic or non prismatic (incl. properties to
 make possible to calculate concrete reinforcement)
 
 - the beams can be FIXED, HINGED or SPRING connected to the nodes.
 
 - infinite stiff ECCENTRICAL beam connections are possible.
 
 - the nodes can undergo prescribed displacements (including
 different types of supports).
 
 - when for prismatic beams the moments of resistance have been entered
 the stresses in the beams will be calculated (for non prismatic
 beams the moments of resistance will be calculated by the program itself).
 Unity checks will be performed too.  
 
 - it is possible to indicate per beam if shear distortions should be
 accounted for in the calculation process (specific important for
 compact beams)
 
- the nodes can also be connected via springs with the surrounding world.
 
 - the calculation of plastic hinges is supported by the program;
 a rather advanced option
 
- next to elastic stress checks these checks can be performed according Eurocode 3 (steel) too;
buckling checks can be performed also
 
 - further stress checks according Eurocode 5 (timber) is supported 
 
 - the program is capable to adjust the beam sections to be close to an unity factor of one 
 (optimizing option with the aid of a design list).
 
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 loadcase 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.
As a consequence it no longer possible to compose load combinations from base
loadcases.
 
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:
 
 - nodal loads.
 
 - distributed beam loads.
 
 - continuous spring supported beams.
 
 - various BASE loads from where load COMBINATIONS can be composed.
 
 - the beams can be FIXED or HINGED connected to the nodes.
 
 - infinite stiff ECCENTRICAL beam connections are possible.
 
 - the nodes can undergo prescribed displacements (including
 different types of supports).
 
- next to elastic stress checks these checks can be performed according Eurocode 3 (steel) 
 and Eurocode 5 (timber) too; buckling checks can be performed also.
 
- further reinforcement can be calculated according Eurocode 2 (concrete)
 
 - the program is capable to adjust the beam sections to be close to an unity factor of one 
 (optimizing option with the aid of a design list).
 
 - calculation of Eigenfrequencies.
 
 
 
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.
 
 
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