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Pitch diameter from three wire system method Formula

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Pitch Diameter is the diameter of the basic cylindrical shape on which threads are created. Check FAQs

D = M - (G m \cdot (1 + \cos e c (θ)) - \frac{P \cdot \cot (θ)}{2})

D - Pitch Diameter?M - Micrometer Reading?G_m - Wire Diameter Metric Thread?θ - Thread Angle?P - Screw Pitch?

Pitch diameter from three wire system method Example

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Here is how the Pitch diameter from three wire system method equation looks like with Values.

Here is how the Pitch diameter from three wire system method equation looks like with Units.

Here is how the Pitch diameter from three wire system method equation looks like.

5.3168 = 8.2 - (1.74 \cdot (1 + \cos e c (60)) - \frac{3 \cdot \cot (60)}{2})

5.3168mm = 8.2mm - (1.74mm \cdot (1 + \cos e c (60°)) - \frac{3mm \cdot \cot (60°)}{2})

5.3168 = 8.2 - (1.74 \cdot (1 + \cos e c (60)) - \frac{3 \cdot \cot (60)}{2})

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Pitch diameter from three wire system method Solution

Follow our step by step solution on how to calculate Pitch diameter from three wire system method?

FIRST Step Consider the formula

D = M - (G m \cdot (1 + \cos e c (θ)) - \frac{P \cdot \cot (θ)}{2})

Next Step Substitute values of Variables

∴

D = 8.2mm - (1.74mm \cdot (1 + \cos e c (60°)) - \frac{3mm \cdot \cot (60°)}{2})

Next Step Convert Units

∴

D = 0.0082m - (0.0017m \cdot (1 + \cos e c (1.0472rad)) - \frac{0.003m \cdot \cot (1.0472rad)}{2})

Next Step Prepare to Evaluate

∴

D = 0.0082 - (0.0017 \cdot (1 + \cos e c (1.0472)) - \frac{0.003 \cdot \cot (1.0472)}{2})

Next Step Evaluate

∴

D = 0.00531684646700471m

Next Step Convert to Output's Unit

∴

D = 5.31684646700471mm

LAST Step Rounding Answer

∴

D = 5.3168mm

Pitch diameter from three wire system method Formula Elements

Variables

Functions

Pitch Diameter

Pitch Diameter is the diameter of the basic cylindrical shape on which threads are created.

Symbol: D

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Pitch Diameter

Micrometer Reading

Micrometer Reading is the reading of an instrument which can measure thickness of very small objects.

Symbol: M

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Micrometer Reading

Wire Diameter Metric Thread

Wire Diameter Metric Thread is any straight line segment that passes through the center of the wire circle and whose endpoints lie on the wire circle in the metric measurement system.

Symbol: G_m

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Wire Diameter Metric Thread

Thread Angle

Thread angle of a screw is the included angle between the thread flanks, measured in a plane containing the thread axis.

Symbol: θ

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Thread Angle

Screw Pitch

Screw Pitch is the distance between screw threads and is commonly used with inch sized products and specified as threads per inch.

Symbol: P

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Screw Pitch

cot

Cotangent is a trigonometric function that is defined as the ratio of the adjacent side to the opposite side in a right triangle.

Syntax: cot(Angle)

sec

Secant is a trigonometric function that is defined ratio of the hypotenuse to the shorter side adjacent to an acute angle (in a right-angled triangle); the reciprocal of a cosine.

Syntax: sec(Angle)

cosec

The cosecant function is a trigonometric function that is the reciprocal of the sine function.

Syntax: cosec(Angle)

Other formulas in Metric Thread category

Go Ideal wire diameter in three wire system method

G m = (\frac{P}{2}) \cdot \sec (\frac{θ}{2})

Go Diameter of Wire used in Three Wire System Method

G m = \frac{M - D + \frac{P \cdot \cot (θ)}{2}}{1 + \cos e c (θ)}

Go Micrometer reading from three wire system method

M = D + G m \cdot (1 + \cos e c (θ)) - \frac{P \cdot \cot (θ)}{2}

Go Pitch of thread from three wire system method

P = \frac{D + G m \cdot (1 + \cos e c (θ)) - M}{\frac{\cot (θ)}{2}}

How to Evaluate Pitch diameter from three wire system method?

Pitch diameter from three wire system method evaluator uses Pitch Diameter = Micrometer Reading-(Wire Diameter Metric Thread*(1+cosec(Thread Angle))-(Screw Pitch*cot(Thread Angle))/2) to evaluate the Pitch Diameter, The Pitch Diameter from Three Wire System Method formula is defined as the simple effective diameter of screw thread, approximately halfway between the major and minor diameters. Pitch Diameter is denoted by D symbol.

How to evaluate Pitch diameter from three wire system method using this online evaluator? To use this online evaluator for Pitch diameter from three wire system method, enter Micrometer Reading (M), Wire Diameter Metric Thread (G_m), Thread Angle (θ) & Screw Pitch (P) and hit the calculate button.

FAQs on Pitch diameter from three wire system method

What is the formula to find Pitch diameter from three wire system method?

The formula of Pitch diameter from three wire system method is expressed as Pitch Diameter = Micrometer Reading-(Wire Diameter Metric Thread*(1+cosec(Thread Angle))-(Screw Pitch*cot(Thread Angle))/2). Here is an example- 5286.892 = 0.0082-(0.00174*(1+cosec(1.0471975511964))-(0.003*cot(1.0471975511964))/2).

How to calculate Pitch diameter from three wire system method?

With Micrometer Reading (M), Wire Diameter Metric Thread (G_m), Thread Angle (θ) & Screw Pitch (P) we can find Pitch diameter from three wire system method using the formula - Pitch Diameter = Micrometer Reading-(Wire Diameter Metric Thread*(1+cosec(Thread Angle))-(Screw Pitch*cot(Thread Angle))/2). This formula also uses Cotangent (cot)Secant (sec), Cosecant (cosec) function(s).

Can the Pitch diameter from three wire system method be negative?

No, the Pitch diameter from three wire system method, measured in Length cannot be negative.

Which unit is used to measure Pitch diameter from three wire system method?

Pitch diameter from three wire system method is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Pitch diameter from three wire system method can be measured.

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Pitch diameter from three wire system method Formula

Pitch diameter from three wire system method Example

Pitch diameter from three wire system method Solution

Pitch diameter from three wire system method Formula Elements

Other formulas in Metric Thread category

How to Evaluate Pitch diameter from three wire system method?

FAQs on Pitch diameter from three wire system method

Variable Name