Line of moment

After the presentation I talked with the tutors and they send me information about beams on more than two support points. In this I now try to make the lines of moment in GC. In this I have some trouble because I want to get the sum of the y factor of two lines. So I just want to make one sumed line out of 2 lines.This picture shows 2 lines of moment. The basic line is the horizontal one. My question is: How can I calculate the summed line of moment.

Result of bridge and bridge feature

This post is about the results after some days of work. The process is not prescribed. In these days I have tried to introduce the beam into the bridge design. Now the beam reacts on changes in the span, the load and floor plan changes.
The entire model is based on a standard equally devided load on a beam. The end points of the beam are simply supported.

The next picture shows some things that are possible with the feature that is introduced in the pictures after that.

The following pictures show different possibilities with a created feature. In this it was important to let te beam change if some parameters change. Further it is important to keep a certain distance between the parabolic parts. This model gives that result. In this model also different heights and different span directions are possible.

As I already told many parameters can be changed and so they can change the model. In the next picture all the parameters are shown.

Parameters

1. Beam_parbh: shows the relation between the width and the height of the beam.
2. Beam_parwmax: gives the maximum displacement in the middle of the beam.
3. Beam_qm2: gives the load per squere meter.
4. Beam_youngs: gives the youngs modulus.
5. Hfacade: gives the height of the parapet of the bridge area
6. Hmin: gives different heights of the collumn
7. Opp_.....: Gives different distances from the central line of the beam to the edge of the bridge area.
   

The next days I will try to put something about the process on the blog. Further I will give more information in the presentation on monday.

Back to the bridge

The last days I tried to think back to the bridge and how to integrate this in the subject. In this I knew a maximum displacement per meter is allowed in a construction. So I turned the formula around and determined the width and the height formula. In that formula I introduced a sort of factor width / height. This gives the form of the beam. In stead it would also be possible to determine a width as a value and in that case only the height would change if other parameter change.


The following code is about the beam height related to the the maximum displacement and a factor which relates the width and the height of the beam:

Pow(((5 * beam_load * Pow(beam_length, 3)) / (32 * beam_youngs * beam_wmaxfactor * beam_bhfactor)), 1 / 4)


Further I tried to work with GC again. In this I tried to figure out how own features could be made. This took a day but now I have in this some results.

This view shows that the beam cross section reacts to the beam length.

As can be seen in the previous picture some lines are always based on the same direction. Now I want to try to make them depend on the line which they are related to. In this they always are in a corner of 90 degrees to the basic line. This still has to be worked out.

What to do next

In the next days I will trie to make the profiles solid. In this I think about using a sort of extrusion along a line. Further I think about introducing models with other load conditions and introducing loads that are created out of surface loads.
Further other mechanical lines can be introduced. In this the line of moments, the intern tention and maby the stress can be visualised.

I-formed beam

Today the first 3D file is worked out into a 3D view of displacement of a I-formed beam. Here the thickness, the height and the weight of the beam can be changed. Further the load and the material are variables. In a test model the displacement was not as it should be, looking at the calculation on paper. How this comes is not found out yet. The pictures on this post do give the right view.
As can be seen in the next picture some structure is introduced in the model. In earlier models the variables are already determined so thes can be copied from that file. This means that first the displacement in 3 points is determined and next the cross section is visualised. In the final view these elements are not visible.
Next the visible elements are made. These are just copies of the cross section lines and the line of displacement. Because the same elements are put in the same feature only 4 visible elements are needed.

What to talk about

Mondays we have a new class. In this clas I want to talk about putting in equations with high power variables. Further I like to know wether it is possible to use sort of extrusion along a path because if a cross section is made, this can be extruded along the displacement line. I think this will simplify the model a lot.

10-09-08 3D beam and simplification

The previous model has been worked out in 3D. Further is tried to make the view of how the model is build up more simpel. Some elements do the same thing and so things can be prescribed in the same point. In this I tried to use the smart elements of the program for simplification.

Sometimes I use helping points and helping lines from which other points and lines can be created. In this way I can put the new geometry under a same name, so the model gets simplified.



As can be seen the model workes the same but is now three dimensional and is more simplified.

The following code is about how the displacement is calculated in the program. The parameters are constantly related to the values, given by the sliding bars.

The total displacement in a beam like this is always parabolic. This means that in GC 2 different displacements, in three places (symetric), and a start and end point must be defined. This was done by making some invisible lines of displacement. A line through the end points of the lines create the parabolic line of displacement. By using this line as a feature the same displacement can take place in all the edges of the beam.

{
StartPoint = point05[2];
Direction = baseCS.ZDirection;
Length = Factor * 5 / 32 * (BeamLoad * BeamLength * BeamLength * BeamLength * BeamLength) / (BeamYoungsMod * BeamWidth * BeamHeight * BeamHeight * BeamHeight);
SymbolXY = {105, 106};
}
feature line08 GC.Line
{
StartPoint = {point05[3], point05[1]};
Direction = baseCS.ZDirection;
Length = 0.75 * Factor * 5 / 32 * (BeamLoad * BeamLength * BeamLength * BeamLength * BeamLength) / (BeamYoungsMod * BeamWidth * BeamHeight * BeamHeight * BeamHeight);
SymbolXY = {105, 108};
}

Further today I will try to make a I formed beam in the same way. Also I will try to put a plan on this blog in which gets prescribed how the model is build. This can perhaps also been used by the turors in making the same model.

In the next pictures different parameters have different displacement as a consequence. In this model it is possible to work with different spans, material characteristics and cross section measurements. Optimal proportions can be concluded out of this model.



As is obviously clear in the next picture the model is very complicated. Many different relationships are made. In the next days I will trie to make this more clear.

First results 16-09-08

Today I have tried to put the first mechanical formulas into GC. This was a hell of a job because a lot had to depend on each other and putting in all the parameters did not work out the first time.

Some troubles were:
- The right formula was used but it did not give the right result.
- Quadratic elements were not easy to put in the program.
- It was not easy to find out how input parameters could change easily.

After testing, trying and a lot of reading in the help file a result came out of all the work. The earlier introduced formula considering the displacement is worked out. This is including the sliding bar. Also the displacement at the top of the beam is introduced.

In a later blog I will try to tell in steps how the model was reached.

bridge beam start

15-09-08

After talking with the tutors is decided to start simple. The inspiration starts with the bridge. Further we are going to develop a way of showing mechanical formulas about displacement and strain or stress in real time. In a later phase this can be used in showing what happens with the bridge.

The first step is to make the displacement of a standard rectangular beam visible. Not only the maximum displacement but also the total displacement in a random point can be shown. All the parameters of the formulas considering the displacement are introduced.




Because the displacement normally is very small considering the height this must be shown in some proportion.

How to show this is the question. Because the displacement differs in different spans and different loads all possible input must be shown. Also the cross section is a factor that must be looked at. Further the lines of the moments, distortion in the end points and support loads can be shown in a later phase. Length of the span and measurements of the cross section of the beam can be inserted. All that is dependent from each other and this must be worked out.
It might also be possibility that the maximum displacement is known and so some other parameters, like measurements of the cross section of the beam, can be shown.

If one beam is worked out than also a floor with beams can be worked out. Also beams with other cross sections can be made. In this the area can be introduced and the number of beams carrying this. Further this can be worked out in general for the entire bridge.

The first step is to find out all about the formulas and parameters that consider the displacement of a beam. This must be shown graphically and an idea must be worked out how to show changes. Further must be found out how these changes can be made visible.
The program that I want to use is Microstation Generative Components. In this I think I have to use some scripting in creating a field for input and some fields for the numeric and graphic output.

How changes can be made and visualized:
The output is dependent from several parameters. These can be changed numeric, but the goal is to make this also possible by using a sliding bar. During the sliding of the bar it must be shown what happens. This will give a good view of what the effect of a made decision really is.

11-09-08

The goal is to make architectonic designs adaptable so changes in program or environment are automatically being changed in the construction. Doing this by redesigning the construction of the bridge in a generative way. (with the program generative components)

What are the basic parameters of the bridge?
- heights
- widths
- minimum or maximum spans
- area’s
What are the basic constructive demands, in constructive formula’s?
- height of construction versus span
- global loads per meter or per square meter?

How to work the bridge out?
- Listing basic elements
- putting in programmatic demands
- putting in constructive orders, for example number of columns and number of small parabolic parts.
- Introducing measurements of the constructive parts.

10-09-09

In a class about the program Microstation – Generative Components was told about a point related generative way of constructing. This is ideal to redesign the bridge and its construction. So the goal now is to redesign the bridge by using this method.

A first step is to find out about how the program Generative Components works.
The second step is to find out about all the relations that can be found in the bridge.
- program
- points that contact the floor
- points that contact the program borders
- mechanical needs (calculation of basic relations in order of length or height of the construction)
Put the relations into generative components.

08-09-08

In the class during the presentation I was told that not the program was the purpose but a design related program. In this it was advised to turn back at the bridge itself and than use all the given parametric information and possible changes for redesign the constructive parts of the bridge.

Maybe try to put in all information about basic mechanical formulas related to shape the bridge and then try to change the bridge because of a changing program or difficulties in the environment. So parametric information is used in defining the height, width and connections of the bridge.

In the class also was told that other programs are able to use parametric functions in points. Maya does have a function of using geometry that looks like a point.

During class I thought that first the design had to be looked at again. Further all forces have to be defined, per m2 or per meter. So making basic mathematical formulas that shape the form.

Rudi Stouffs said us to formulate the idea and than try to define the methodology which has to be used. It is always allowed to contact and put new information on the blog. Further the contact of the whole always has to be in thought. Initiative always has to be there.
The tutors that are helping are Andrew and Elza. Questions and how to go further has to be defined. Information about the bridge and my thoughts can be send.

Update of the process after second class

After the second class some changes about the subject can be made. In general I will look at de designed bridge again. In this design I will try to figgure out a way of creating the construction again in generative components. I will look at the construction by using mechanical formulas and so trying to create a system that automatically changes the measurements of the construction if some parameters (read contact to the floor or changes in the programm) are changed.

In the next days I will try to learn working with the generative component program and I have an appointment with the turors. After these steps I can tell more about the research.

first introduction of the research area

This is the presentation of week 2. A suggestion for a research is introduced.

This is the first writing about my new subject for the MSc2 cource. In the class we discussed about what the subject is about and about some ideas from different students. In the next days I will try to figgure out the assignment and think about a subject to investigate.

I already have an idea about what to investigate:
In the 6th semester of the bachelor I designed a kind of blob bridge with parabolic construction. The parabol and its form developed to the function and the programme. The thought is to use this as a research area.
The thought is to use basic mathematic formulas (as for a parabol) as a design tool. It might be possible to develop a generative way to transform formulas into 3D structure.
An other possible thing is to use just the parabolic function as basic and to addapt this in getting a form as smooth as possible.

Later this week I will write about the 6th semester and the design. Further I will try to find out something about earlier users of mathematical formulas in architecture. (Gaudi used the parobolic form in his architecture because this was the best way to translate forces)