Description
For positive slotHeight and slotWidth and nonnegative wireHeight and wireWidth return heightGap=slotHeight-wireHeight, widthGap=slotWidth-wireWidth, and occupiedAreaFraction=wireHeight*wireWidth/(slotHeight*slotWidth).
Dental model and device records use coordinate frames, image scale, dimensions, force references, and observation schedules. A projection, gap, ratio, or metadata order checks a particular supplied representation. These local calculations do not establish a treatment plan or the clinical suitability of a device.
For positive slotHeight and slotWidth and nonnegative wireHeight and wireWidth return heightGap=slotHeight-wireHeight, widthGap=slotWidth-wireWidth, and occupiedAreaFraction=wireHeight*wireWidth/(slotHeight*slotWidth).
When to use this tool
Use Bracket Model Slot Clearance Ratio when you need this particular model geometry, device budget, observation share, or record comparison.
How to use the tool and how it works
- Enter slotHeight, wireHeight, slotWidth, wireWidth. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read heightGap, widthGap, occupiedAreaFraction. Use the output convention below.
For positive slotHeight and slotWidth and nonnegative wireHeight and wireWidth return heightGap=slotHeight-wireHeight, widthGap=slotWidth-wireWidth, and occupiedAreaFraction=wireHeight*wireWidth/(slotHeight*slotWidth).1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| slotHeight | Slot Height | Required. Finite number; strictly above 0. |
| wireHeight | Wire Height | Required. Finite number; minimum 0. |
| slotWidth | Slot Width | Required. Finite number; strictly above 0. |
| wireWidth | Wire Width | Required. Finite number; minimum 0. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| heightGap | Height Gap | Required. Finite number. |
| widthGap | Width Gap | Required. Finite number. |
| occupiedAreaFraction | Wire rectangular area divided by slot area; can exceed one. | Required. Finite number. |
{
"input": {
"slotHeight": 2,
"wireHeight": 1.5,
"slotWidth": 3,
"wireWidth": 2
},
"output": {
"heightGap": 0.5,
"widthGap": 1,
"occupiedAreaFraction": 0.5
}
}Limitations and assumptions
- Lengths need one unit and rectangular sections are assumed. Negative gaps and area fractions above one are retained; corner radii, tolerances, wire rotation, contact mechanics, safe force, and clinical compatibility are not assessed.
- Inputs must satisfy both the field types and the cross-field conditions above. Invalid input causes an error; a successful false flag or documented placeholder is a different result.
- Numeric calculations use binary floating point unless exact decimal-integer arithmetic is explicitly stated. No hidden measurement tolerance or decimal rounding is added; nonfinite or out-of-contract results are rejected. Signed zero is exported as zero.
Alternative or Complementary methods
Use a validated measurement or device model and appropriate source records for the full task. Check coordinate systems, calibration, geometric assumptions, and observation denominators before interpreting the term.
References
Similar or alternative tools
- Implant Bench Interface Gap
Signed nominal bench clearance between supplied concentric diameters, without implant sizing advice.
- Implant Bench Clearance Diameter Term
Bench concentric-diameter tolerance envelope; no implant fit, load capacity or surgical recommendation.