In the next text many formulas are introduced. These formulas are the result of many calculations.
File: Feat_qload01
Equally divided loads and a certain length are variables. On this length some points are created and the variable x is the distance of this point from the start point of the line. The equation of the line of moment then is:
parabola from
and in this
File: Feat_qload01
For an overhang with an equally divided load the next equation can be written:
parabola from 
and in this
and because of parabola
The tension in a construction.
Because the tension in a material has its maximum value the construction can be adapted to this phenomenon. In this the tension depends on the cross section of the construction. This means that a bigger cross section is needed where a higher tension is found. This comes forward in the next equations:
(where M is the moment on a point and z is the distance from the outside of the construction to the center of the construction)
For a simple rectangular beam this means:
because 
and
This would mean the following for the tension in the earlier situations:
File: Feat_qload01_2
The formula for the line of moment is inserted in the formula for the tension.
File: Feat_qload02_2
In these last equations the width and the height of the beam can be influenced because of the maximum tension in a material.
What does this mean for the bridge?
For the bridge this can mean the following: every certain distance, about a meter, a beam for carrying the floor plan is introduced. On this beam the load is equally divided. If the length of these beams is different then the primary beam would have a load that is not equally divided Which would mean a variable q-load.
The load on the primary beam gets build up out of point loads that come from the support points of the secondary beams.
A last point is about the torsion. Because a higher moment from the secondary beam means a higher torsion moment the deformation because of this could be high. Than it would sometimes be better to use more than one beam in the construction. As a research point this could be something to work out in a later stage.
The moments that come out of the q-load have create tension in the construction. In this the Izz-value has its influence. The width and the height of the beam get influenced because only a certain maximum tension is allowed.
This would mean the following for the tension in the earlier situations:
File: Feat_qload01_2
The formula for the line of moment is inserted in the formula for the tension.
File: Feat_qload02_2
In these last equations the width and the height of the beam can be influenced because of the maximum tension in a material.
What does this mean for the bridge?
For the bridge this can mean the following: every certain distance, about a meter, a beam for carrying the floor plan is introduced. On this beam the load is equally divided. If the length of these beams is different then the primary beam would have a load that is not equally divided Which would mean a variable q-load.
The load on the primary beam gets build up out of point loads that come from the support points of the secondary beams.
A last point is about the torsion. Because a higher moment from the secondary beam means a higher torsion moment the deformation because of this could be high. Than it would sometimes be better to use more than one beam in the construction. As a research point this could be something to work out in a later stage.
The moments that come out of the q-load have create tension in the construction. In this the Izz-value has its influence. The width and the height of the beam get influenced because only a certain maximum tension is allowed.
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