Displaying the nodal space support resultant

SCIA Engineer can display standard resultants of reactions – see chapter Results > Results on beams > Displaying the resultant of reactions. However, for certain types of structures other representation of the reaction may be suitable.

Example

Reactions in node

image\ReactionsNormal.gif

Nodal Support Space Resultant

image\ReactionsSpatial.gif

Nodal Support Space Resultant

Function Nodal Support Space Resultant (NSSR) calculates the total resultant of a given reaction. In addition, the function also calculates the total horizontal component of the reaction.

Calculation principle

For each selected (nodal) support the program does the following:

  1. The minimum and maximum extreme of reaction values Rx, Ry and Rz is found.

  2. For each extreme reaction value the complementary values are calculated:

    1. horizontal component;

image\SpaceResultantHorizontal.gif

    1. total resultant;

image\SpaceResultantTotal.gif

    1. direction (angle to diagonal) of the total resultant;

    2. slope of the total resultant ( = Rz / HR);

    3. the combination in which the extreme reaction value was achieved is shown.

If there are mope than one combination that have the same extreme reaction value, the combination in which the maximal total resultant is calculated is displayed.

Note: The function has bee designed to give results for load case combinations and result classes. It can be however applied also to load cases, and the resultant is calculates as well, but the search for extreme is irrelevant.

Note: It is NOT the purpose of the function to determine the extreme resultant.

Possible application

The primary application of the function is in the design of masts. When the total resultant is known, it is possible to determine the direction of the foundation poles under supports. The slope determines the inclination of the foundation pole. It can be also found whether the pole is under tension or compression. The angle with the diagonal is required for the following reason. If the angle is too large, an additional shear force has to be taken into account for the calculation of the foundation.

Nodal Support Space Resultant table in the document

The layout of the default Nodal Support Space Resultant table will be explained on an example of the table generated for support Sn1 located in node N21.

A table for one support has six lines. Each line contains the extreme value (minimum / maximum) of one reaction component (Rx / Ry / Rz) and the corresponding calculated values of the Nodal Support Space Resultant.

image\SpaceResultantTable.gif

Case

Shows the load case combination + load case index from the combination key in which the corresponding extreme of reaction component was reached.

Support

Shows the name of the support and name of the node where the support is located.

Extreme

Indicates the component to which the extreme value refers to.

Horizontal component

Contains the calculated horizontal component of the Nodal Support Space Resultant.

Resultant

Displays the total value of the Nodal Support Space Resultant.

Angle

Shows the orientation of the resultant in plan view.

Contrary to many other functions, this function does not measure the angle from the axis of the coordinate system, but from a diagonal line.

What is measured is the deviation between the direction of the resultant force and the diagonal line (because of the connection of the supports). To have a general solution, the diagonal line is the line from the support in question to the point (0,0,0) in GCS.

Slope

Shows the inclination of the resultant from the horizontal plane.

Rx, Ry, Rz

Displays the appropriate reaction component extreme value.

Note: Some texts in the table header in the figure have been modified (in comparison with original headers in the real document table) in order to reduce the width of the table to fit the page in this documentation.

Note: It is convenient to add the Combination key table into the document too, as (in case of the results for load case combinations and result classes) it provides useful information about the particular load case in which the extreme value of the reaction component was reached.

image\SpaceResultantCombKey.gif

The procedure to display the nodal space support resultant
  1. Open service Results.

  2. Select function Nodal space support resultant.

  3. Select the supports for the display of results.

  4. Select the required type of loads.

  5. Set other display parameters.

  6. Refresh the screen.

 

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