Pall Y-Arm Intersection Point Solver

PallYcenterline junction from verified normalized specification with vectors to hoist corners and fly midpoint; not equal-angle/arm-width clipping.

Description

A pall forms a Y-shaped junction with rays toward the hoist corners and fly midpoint.

A pall forms a Y-shaped junction with rays toward the hoist corners and fly midpoint.^[1]

A verified normalized junction determines the centerline coordinates and vectors.

When to use Pall Y-Arm Intersection Point Solver

Use this tool when you need to reproduce the stated calculation from measured records or independently selected model inputs. Establish the flag dimensions, orientation, specification, palette, or visual annotations needed for this particular calculation.

How to use Pall Y-Arm Intersection Point Solver and understand its results

Establish the flag dimensions, orientation, specification, palette, or visual annotations needed for this particular calculation.
Enter fly, hoist, callerVerifiedJunctionXFraction, callerVerifiedJunctionYFraction, following the field table and rules below, then run the tool.
Read result. Use the output meanings below to interpret units, signs, flags, and any nested result fields.
Correct reported input issues and run again. For a successful result, check the stated evidence coverage and assumptions before using it in your review.

Input field	Meaning	Value type	Requirement
fly	Fly	number	Required
hoist	Hoist	number	Required
callerVerifiedJunctionXFraction	Caller verified junction x fraction	number	Required
callerVerifiedJunctionYFraction	Caller verified junction y fraction	number	Required

Enter positive fly/hoist dimensions at most one billion and normalized junction fractions from zero to one. Use a top-left, y-down frame. Scale the junction and subtract its coordinates from each target point; each returned ray is a one-row matrix.

junction=(Fx,Hy); rays=target−junction

Symbols follow the input and output meanings and the calculation rules above.

Output field	Meaning	Value type
result	Calculated observation or reference	object
result.junction	Junction	list
result.viewerLeftUpperRay	Viewer Left Upper Ray	numeric matrix
result.viewerLeftLowerRay	Viewer Left Lower Ray	numeric matrix
result.viewerRightRay	Viewer Right Ray	numeric matrix

json

{
  "input": {
    "fly": 200,
    "hoist": 100,
    "callerVerifiedJunctionXFraction": 0.4,
    "callerVerifiedJunctionYFraction": 0.5
  },
  "output": {
    "result": {
      "junction": [
        80,
        50
      ],
      "viewerLeftUpperRay": [
        [
          -80,
          -50
        ]
      ],
      "viewerLeftLowerRay": [
        [
          -80,
          50
        ]
      ],
      "viewerRightRay": [
        [
          120,
          0
        ]
      ]
    }
  }
}

Limitations and assumptions

The calculation uses supplied geometry, observations, or annotations. It does not establish an official construction specification, national identity, or universal design quality.

Missing required fields, unknown fields, wrong types, and violated calculation rules are input issues. Numeric values must be finite; nonfinite results are rejected. Extremely large composite outputs are rejected.

Alternative or Complementary methods

For a related review, use Nordic Cross Offset Position Calculator: A Nordic-cross construction needs a horizontal position and an arm width in a declared flag rectangle. This tool scales a verified vertical-stem offset and centers the horizontal arm on the hoist. For a complementary step, use Quartered Field Quadrant Area Calculator: Off-center vertical and horizontal splits produce four unequal rectangular quadrants. Reporting their areas in viewer row order preserves the layout being measured.

References

Pall Y-Arm Intersection Point Solver — tool.io

Similar or alternative tools

Nordic Cross Offset Position Calculator
A Nordic-cross construction needs a horizontal position and an arm width in a declared flag rectangle. This tool scales a verified vertical-stem offset and centers the horizontal arm on the hoist.
Quartered Field Quadrant Area Calculator
Off-center vertical and horizontal splits produce four unequal rectangular quadrants. Reporting their areas in viewer row order preserves the layout being measured.