Chain Rank Calculation Examples

Calculating Chain Rank

Overview

The from-node and to-node rank values are expressed as a single number in the form ffffff.tttttt. Therefore, the rank for the chain in Example: Calculating From-Node Rank and Example: Calculating To-Node Rank is 131641.240034. This is the value of the RANK variable for this chain in the chains data set.

Note: The trigonometric functions for calculating the RANK value in the following sections are in radians.

Point Coordinates

The information in the following table is used in the following examples:

Coordinate Values for a Chain with One Detail Point

Point	Description	X	Y
F	from-node of chain	-784533	373266
D	Detail point	-784688	373375
T	To-node of chain	-784559	373498

Variable Definitions

The variables used in the equations have the following definitions:

R_F

is the rank value at the from-node of the chain.

R_T

is the rank value at the to-node of the chain.

A

is the angle from the chain clockwise to the nearest X or Y axis.

ΔX

is the length of a chain segment along the X axis.

ΔY

is the length of a chain segment along the Y axis.

Example: Calculating From-Node Rank

The following equations illustrate the steps necessary to calculate the from-node rank:

Given

formula for RANK values

and

then

The following example illustrates calculating a from-node rank with the given values:

Given

and

and

then

Calculating the From-Node Rank

Calculating the From-Node Rank

Example: Calculating To-Node Rank

The following equations illustrate the steps necessary to calculate the to-node rank:

Given

formula for RANK values

and

then

The following example illustrates calculating a to-node rank with the given values:

Given

and

and

then

Calculating the To-Node Rank

Calculating the To-Node Rank

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