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Ubify Media & Design Operations
UI/UX & DIGITAL MEDIA SPECIALISTS
About This Tool
Lumber expands and contracts across its tangential and radial grain axes as ambient relative humidity fluctuates. In this interactive calculation utility, three dimensional variables represent timber movement: a primary board dimension ($v_1$), an operating moisture coefficient ($v_2$), and a secondary dimensional factor ($v_3$).
From these inputs, the calculator derives the primary ratio figure ($[v_1 imes v_2] / max(0.01, v_3)$), the root movement factor ($sqrt{max(0, v_1 imes v_2)}$), and the overall board expansion percentage ($[v_1 / (v_1 + v_2)] imes 100$).
### Worked Numeric Example Consider a tabletop plank calculation with custom inputs: - Primary Dimension / Load: 120 - Operating Coefficient: 25 - Secondary Factor / Rate: 4
Step-by-step results: - Primary Metric: $(120 imes 25) / 4 = 3000 / 4 = 750.00$ - Operating Metric: $sqrt{120 imes 25} = sqrt{3000} approx 54.77$ - Ratio Efficiency: $[120 / (120 + 25)] imes 100 = (120 / 145) imes 100 approx 82.76%$
### Client-Side Processing Note All mathematical logic runs 100% locally in your web browser via client-side JavaScript. Wood species metrics and dimensional inputs remain on your personal computer and are never logged or transmitted over the network.
How to Use
- 1
Enter the Primary Dimension or Load value into the first numeric box.
- 2
Specify your Operating Coefficient in the second field.
- 3
Set the Secondary Factor or Rate in the third input field.
- 4
Inspect the computed primary ratio, geometric root, and relative efficiency metrics immediately.
Frequently Asked Questions
Does this calculator replace species-specific shrinkage tables?
No. This utility evaluates the three-variable mathematical relationship defined in the code. For architectural joinery, consult species-specific radial and tangential shrinkage percentages from the USDA Wood Handbook.
How does the tool handle zero in the secondary factor?
The calculation clamps the denominator to a minimum floor of 0.01 to prevent divide-by-zero errors.
Are board measurements sent to a server?
No. All calculations run strictly inside your local browser tab.