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OrcaFlex Manual - Orcina

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357<br />

System Modelling: Data and Results, Lines<br />

� Standard results like Effective Tension, Bend Moment, etc. are available at line ends as well as at mid-segment<br />

points. For example to obtain the end tension at End A you can ask for the Effective Tension (or Wall Tension) at<br />

End A.<br />

� Magnitude and other components of the end force and end moment vectors.<br />

� Bend Restrictor Load, which is a special end load result useful for bend restrictor design.<br />

Sign Convention<br />

When considering the sign of end load components the question arises as to whether the load reported is that<br />

applied by the line to its connection or vice versa. The <strong>OrcaFlex</strong> convention is that the load reported at any point is<br />

that applied by the B side of that point to the A side. So at End A we report the end load applied by the line to its<br />

connection (e.g. a vessel), but at End B we report the end load applied to the line by its connection. This is in keeping<br />

with the <strong>OrcaFlex</strong> convention for specifying the no-moment direction.<br />

Treatment of Links and Winches attached to the end node<br />

Normally, the end force and end moment are the total load acting between the end node and the object to which it is<br />

connected. This includes forces from any links or winches attached to the end node.<br />

However if the line end is free, or has been released, then it is not connected to any object. In this case the end<br />

moment is zero and the end force is taken to be the total force acting between the line end and any links or winches<br />

attached to the end node. If there are no attached links or winches, or they have been released, then the end force is<br />

zero.<br />

Standard Results<br />

Effective Tension, Wall Tension,<br />

Shear Force, x-Shear Force, y-Shear Force,<br />

Bend Moment, x-Bend Moment, y-Bend Moment,<br />

Curvature, x-Curvature, y-Curvature<br />

These results variables are available at the line end nodes, as well as at mid-segment points. Whether you are given<br />

end values or mid-segment values depends on the point at which you ask for the results. If you ask for these results<br />

at EndA or EndB, or at an arc length that is closer to a line end than to the nearest mid-segment arc length, then the<br />

values at the line end will be given. Otherwise the values for the nearest mid-segment point will be given.<br />

For mid-segment values see Line Results: Forces, Line Results: Moments and Line Results: Pipe Stresses.<br />

At a line end they report the components of the end loads in the local node directions of the end node, as follows:<br />

� Effective tension is the component of the end force vector in the end node axial direction (= Nz direction).<br />

� Wall tension is derived from the effective tension at the line end, using the pressure effects formula.<br />

� Shear is the component of the end force vector normal to the end node axial direction.<br />

� x-Shear and y-Shear are the components of the end force vector in the end node Nx and Ny directions.<br />

� Torque is the component of the end moment vector in the end node axial direction.<br />

� Bend moment is the component of the end moment vector normal to the end node axial direction.<br />

� x-Bend Moment and y-Bend Moment are the components in the end node Nx and Ny directions.<br />

� Stress results are based on the end load components in the end node axes directions.<br />

Differences between End Loads and End Segment Loads<br />

The end values of these results differ from the corresponding values for the end segment for two reasons.<br />

Firstly, they include the loads (weight, buoyancy, drag etc.) on the last half segment adjacent to the end.<br />

Secondly, they are components in the local node directions (Nx,Ny,Nz) at the end node, whereas the end segment<br />

values are components with respect to the segment directions (Sx,Sy,Sz). The end node is often not aligned with the<br />

end segment because end connection stiffness turns it towards the end orientation direction. For example:<br />

� If the end connection stiffness is zero, or if the line end is free or has been released, then the end node directions<br />

are aligned with the end segment directions. The end node values then differ from the end segment values only<br />

by the loads on the end half segment.

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