Add loads in 3D

It’s passed a list of dictionaries. There are two options for add loads:

  • Add loads by column

  • Add loads by coordinate

Hint

It’s possible combine and use both options.

Meaning of arrow direction

Entering the node

Coming out of the node

The applied load is positive

The applied load is negative
../_images/forca_direcao3d.png

Figure 7: Meaning of arrow direction.

Add loads by coordinate

The dictionary has the following keys:

  • “x_coord”: coordinate in X-axis.

  • “y_coord”: coordinate in Y-axis.

  • “z_coord”: coordinate in Z-axis.

  • “x_direc”: indicates if is applied a load in X-direction.

    • If 1 indicates that the load is applied in the negative direction of the X-direction.

    • If 1 indicates that the load is applied in the positive direction of the X-direction.

    • If 0 indicates that no load is applied in the X-direction.

  • “y_direc”: indicates if is applied a load in Y-direction.

    • If 1 indicates that the load is applied in the negative direction of the Y-direction.

    • If 1 indicates that the load is applied in the positive direction of the Y-direction.

    • If 0 indicates that no load is applied in the Y-direction.

  • “z_direc”: indicates if is applied a load in Z-direction.

    • If 1 indicates that the load is applied in the negative direction of the Z-direction.

    • If 1 indicates that the load is applied in the positive direction of the Z-direction.

    • If 0 indicates that no load is applied in the Z-direction.

  • “force”: The module of the load in Newton.

In the Figure 8 two loads are applied in the mesh (lx = 1, ly = 0.5, lz = 1):

  • A negative force of modulus 100 N is applied in the Z-direction to the node at coordinate (1, 0.5, 1).

  • A positive force of modulus 100 N is applied in the X-direction to the node at coordinate (1, 0, 1).

In Python language:

load_matrix = [{"x_coord":1, "y_coord":0.5, "z_coord":1, "x_direc":0, "y_direc":0, "z_direc":-1, "force":100},\
               {"x_coord":1, "y_coord":0, "z_coord":1, "x_direc":0, "y_direc":1, "z_direc":0, "force":100}]
../_images/forca_coord.PNG

Figure 8: 3D mesh with load applied by coordinate.

Add loads by column

The dictionary has the following keys:

  • “coord”: Coordinate.

  • “axis”: Direction that the load is applied. It can be: 1 (X-Axis), 2 (Y-Axis) or 3 (Z-Axis).

  • “eps”: Margin of error.

  • “x_direc”: indicates if is applied a load in X-direction.

    • If 1 indicates that the load is applied in the negative direction of the X-direction.

    • If 1 indicates that the load is applied in the positive direction of the X-direction.

    • If 0 indicates that no load is applied in the X-direction.

  • “y_direc”: indicates if is applied a load in Y-direction.

    • If 1 indicates that the load is applied in the negative direction of the Y-direction.

    • If 1 indicates that the load is applied in the positive direction of the Y-direction.

    • If 0 indicates that no load is applied in the Y-direction.

  • “z_direc”: indicates if is applied a load in Z-direction.

    • If 1 indicates that the load is applied in the negative direction of the Z-direction.

    • If 1 indicates that the load is applied in the positive direction of the Z-direction.

    • If 0 indicates that no load is applied in the Z-direction.

  • “force”: The module of the load in Newton.

In the Figure 9, it’s applied a negative load in Z-direction to all nodes with X = 0.5. In Python language:

load_matrix = [{"coord":0.5, "axis":1, "eps":0.001, "x_direc":0, "y_direc":0, "z_direc":1, "force":100}]
../_images/forca_column.PNG

Figure 9: 3D mesh (lx = 0.5, ly = 0.4 and lz = 0.3) with load applied by column.