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- Tangent Lines to Circles Calc
- Tangent Lines to Circles Calc Vs. Thread Stripping Strength
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Tangent Lines to Circles Calc vs. Thread Stripping Strength Utilizzo e statistiche
Tangent Lines to Circles Calculator are mathematics calculator to find angles and the length of two lines that are tangent to a circle fast and easy.
Features:
• Instant calculation.
• The result is copy able to another app.
• The formula is included as reference.
• Support up to 16 decimal places.
• Support various unit for each input.
Two congruent right triangles are formed, since the tangent line is perpendicular to the radius.
So line AB has the same length as line BC.
And the radius AD has the same length as DC.
∠ABC Angle x° = 180° - Angle y°, or
∠ADC Angle y° = 180° - Angle x°
Formula:
Pythagorean theorem
DB = √AD² + AB²
sin (x/2) = DA / DB
cos (x/2) = AB / DB
tan (x/2) = DA / AB
Inputs:
1. Angle [x°]
2. Angle [y°]
3. Length [AD][DC]
4. Length [AB][BC]
5. Length [DB]
Quick Guide:
Clear the input and at least key in these two parameters to get results:
1 & 3 Angle [x°] & Length [AD][DC]
1 & 4 Angle [x°] & Length [AB][BC]
1 & 5 Angle [x°] & Length [DB]
2 & 3 Angle [y°] & Length [AD][DC]
2 & 4 Angle [y°] & Length [AB][BC]
2 & 5 Angle [y°] & Length [DB]
3 & 4 Length [AD][DC] & Length [AB][BC]
3 & 5 Length [AD][DC] & Length [DB]
4 & 5 Length [AB][BC] & Length [DB]
Tangent lines to circles. In Euclidean plane geometry, a tangent line to a circle is a line that touches the circle at exactly one point, never entering the circle's interior. Tangent lines to circles form the subject of several theorems, and play an important role in many geometrical constructions and proofs.
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With a few parameters (diameter, pitch, thread tolerances, quality class and engaged thread length) the application automatically calculates the minimum failure load (stripping) of the bolt threads and the threads of the tap. Except in special cases, these two values must be greater than the failure load of the bolt.
The application includes metric thread databases (coarse, fine or custom pitch), carbon steel (ISO 898-1) and stainless steel (ISO 3506-1) property classes, and thread tolerance positions a to h for bolts and G to H for taps, with their associated manufacturing quality (µm) in accordance with ISO 965-1. The application also enables you to check that the pairing chosen is recommended and that the diametral overlap of the threads is sufficient.
After calculation, the calculated data can be exported in .CSV format and sent by message or email (for import into an Excel spreadsheet, for example).
The calculation is performed according to the formulas proposed in standard NF E 25030-2, with tolerances.
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Tangent Lines to Circles Calc VS.
Thread Stripping Strength
18icembre d, 2024