PASS/NOZZLE-FEM 3.5. Program Manual

3.8.13. Bend (elbow)

Table 3.16 shows key features of the base element (shell).

Table 3.16
Fig. 3.44. Bend (elbow): LCS and fixing conditions
 
Feature Description
Reference points:

A: shell start;

B: shell end;

C: center of bending axial curve;

Leg #1: end of cylindrical part at point A;

Leg #2: end of cylindrical part at point B.

Local shell coordinate system (LCS):

Axis X and Y set bend plane;

angle θ of nozzle insertion is taken from this axis toward axis X;

Axis Z: shell longitudinal axis.

The positive bend angle α rotates point A toward point B around axis Z.

Curved coordinate system:

Used to set external loads on the ends or legs of the element:

Axis X: is directed to the axial arc center (coincides with the normal to the axial arc).

Axis Y: is directed along the normal to the elbow plane (coincides with the elbow Z local axis).

Axis Z: is directed along the tangent line to the axial elbow arc.

Fig. Curved CS of axial elbow arc

Designated as "CS leg #1" and "CS leg #2", that is computed at points A and B accordingly.

For point A, an inverted CS is used so that Z axis is directed towards leg #1.

Orientation in WCS:

All axis can be horizontal and vertical according to the shell options:

When the "Invert shell direction" option is selected the LCS is rotated around its Z axis by 180°.

If a negative bend angle is given (α < 0), then the LCS is rotated around its X axis by 180°.

Shell constraints (dof):

For strength analysis (fig. 3.44):

Point A or leg #1.

When calculating allowable loads, stiffnesses and stress intensification factors for a nozzle (fig. 3.45):

Points A, B (legs #1 and #2).

Fig. 3.45. Constraints for special calculations
Shell loads:

Inner overpressure.

Outer pressure.

Hydrostatic pressure.

Thermal strains.

Concentrated loads to free end (B) or leg #2 for strength analysis (fig. 3.46):

Fig. 3.46. Loads on leg #2
Special calculations:

Allowable loads for end B (fig. 3.47).

Stiffness and flexibility factors for end B (fig. 3.47).

Stress intensification factors (fig. 3.47).

Fig. 3.47. Bend (elbow) loads for special calculations
Additional segments:

The base element also allows to specify cylindrical legs #1 and #2.

If a negative value of the leg length is specified, then it is calculated as follows:

$$ l_g = 3 D_{out}.$$

If negative values of the leg thickness and the weld size are given, then they are accepted as for the base element.

 

 


PASS/NOZZLE-FEM 3.5. Program Manual

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