Ring main loop

Circular ring is modeled as multiple consecutive bends around a circle. The procedure for modeling is as follows:

Step 1 - Set an angle for each bend. The example below is q=30 degrees for each bend.

Step 2 - Define inscribed circle node (10, 30, 50, ...) and circumscribed circle node (20,40, 50, ... ).

Step 3 - Calculate inscribed circle node and circumscribed circle node coordinates.

Step 4 - Define bend entering and leaving element pair and FROM and TO node.

Step 5 - Calculate the relative dimensional components (Deltas) between nodes.

Step 6 - Model the element entering the bend and the element leaving the bend. Enter Deltas and bend radius.

Step 7 - Check intermediate angles, and delete unnecessary nodes which are duplicate in coordinates.

Step 8 - Add boundary conditions at nodes if necessary.

Global Coordinates

Inscribed Circle Node Ik, [10, 30, 50, ... (Q=kq, k=0, 1, 2, 2p/q )]

X=R sin(Q)

Z=-R cos(Q)

Circumscribed Circle Node Jk, [20, 40, 60, ... (Q=kq, k=0, 1, 2, 2p/q )]

X=R' sin(Q+q/2)

Z=-R' cos(Q+q/2)

Relative Deltas (DX, DY, DZ) Between Inscribed Circle Node I and Circumscribed Circle Element J

Bend Entering Element (Type Bend)

FROM: Ik TO: Jk

Bend Leaving Element (Type Pipe)

FROM: Jk TO: Ik+1

Ring Main Configuration

Sample CAESAR II Model