BREAK LOCATIONS

BREAK LOCATIONS (LET)
FRAGMENT LOCATIONS (LET)
FRAGMENT LENGTHS (LET)

Let Subcommand

Given a variable that contains the X coordinates of the four corners of breaks, compute either the break locations, the fragment locations, or the fragment lengths.

Given a fiber that has been subjected to stress, it is desired to identify the break locations. This command assumes that the input variable is a sequence of points where each point contains four X coordinates. These coordinates identify the boundary of the breaks. This command can return one of the following:
1. break location - the break location is defined to be the break centroid, i.e., the average of the four points.

2. fragment location - given two successive breaks, define the lower boundary of the fragment by the average of the right corner points of the first break and the upper boundary by the average of the left corner points of the second break. The fragment location is then the average of the lower and upper boundary values.

3. fragment length - the fragment length is distance between the lower boundary and the upper boundary.

The input variable will be interpreted in sequences of four values. For break locations, the breaks do not have to be in a sorted order. However, for the fragment locations and fragment lengths, the points are assumed to be in order (they can be in either left to right order or right to left order). Within the sequence of four points for a single break, no particular order is required.

LET <y> = BREAK LOCATIONS <x>
                        <SUBSET/EXCEPT/FOR qualification>
where <x> is the response variable;
            <y> is a variable where the break locations are saved;
and where the <SUBSET/EXCEPT/FOR qualification> is optional.

LET <y> = FRAGMENT LOCATIONS <x>
                        <SUBSET/EXCEPT/FOR qualification>
where <x> is the response variable;
            <y> is a variable where the fragment locations are saved;
and where the <SUBSET/EXCEPT/FOR qualification> is optional.

LET <y> = FRAGMENT LEGNTHS <x>
                        <SUBSET/EXCEPT/FOR qualification>
where <x> is the response variable;
            <y> is a variable where the fragment legnths are saved;
and where the <SUBSET/EXCEPT/FOR qualification> is optional.

LET BREAKLOC = BREAK LOCATIONS X
LET FRAGLOC = FRAGMENT LOCATIONS X
LET FRAGLEN = FRAGMENT LEGNTHS X

None

None

PROBABILITY PLOT	=	Generate a probability plot.
PPCC PLOT	=	Generate a probability plot correlation coefficient plot.
BEST DISTRIBUTIONAL FIT	=	Generate a ranked list of best distributional fit.

Reliability

2019/08

 
. Step 1:   Read the data
.
skip 25
read BREAKS.DAT marker x y
.
. Step 2:   Set some basic plot control
.
title offset 2
title case asis
case asis
label cases asis
character circle
character hw 1.0 0.75
character fill on
line blank
ylimits 0 30000
major ytic mark number 4
minor ytic mark number 1
xlimits 0 1
major xtic mark number 6
minor xtic mark number 1
.
. Step 3:   Generate uniform probablity plot of break locations
.
let break = break locations x
let n = size break
y1label Sorted Data
x1label Uniform Order Statistic Medians
title Uniform Probability Plot of Breaks for File BREAK.DAT
uniform probability plot break
.
justification left
move 17 82
text N: ^n
let ppcc = round(ppcc,3)
move 17 79
text PPCC: ^ppcc