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Pitch of Screw Unsymmetrical Threads Formula

GoPitch for modified buttress 45deg and 7deg Formula

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

P = (D u + G \cdot (1 + \cos e c (\frac{a 1 + a 2}{2}) \cdot \cos (\frac{a 1 - a 2}{2})) - M) \cdot (\tan (a 1) + \tan (a 2))

P - Screw Pitch?D_u - Thickness of Screw?G - Wire Diameter?a₁ - Large Angle?a₂ - Small Angle?M - Micrometer Reading?

Pitch of Screw Unsymmetrical Threads Example

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Here is how the Pitch of Screw Unsymmetrical Threads equation looks like with Values.

Here is how the Pitch of Screw Unsymmetrical Threads equation looks like with Units.

Here is how the Pitch of Screw Unsymmetrical Threads equation looks like.

3.0012 = (56.2 + 1.2 \cdot (1 + \cos e c (\frac{0.5 + 0.2}{2}) \cdot \cos (\frac{0.5 - 0.2}{2})) - 8.2) \cdot (\tan (0.5) + \tan (0.2))

3.0012mm = (56.2mm + 1.2mm \cdot (1 + \cos e c (\frac{0.5° + 0.2°}{2}) \cdot \cos (\frac{0.5° - 0.2°}{2})) - 8.2mm) \cdot (\tan (0.5°) + \tan (0.2°))

3.0012 = (56.2 + 1.2 \cdot (1 + \cos e c (\frac{0.5 + 0.2}{2}) \cdot \cos (\frac{0.5 - 0.2}{2})) - 8.2) \cdot (\tan (0.5) + \tan (0.2))

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Pitch of Screw Unsymmetrical Threads Solution

Follow our step by step solution on how to calculate Pitch of Screw Unsymmetrical Threads?

FIRST Step Consider the formula

P = (D u + G \cdot (1 + \cos e c (\frac{a 1 + a 2}{2}) \cdot \cos (\frac{a 1 - a 2}{2})) - M) \cdot (\tan (a 1) + \tan (a 2))

Next Step Substitute values of Variables

∴

P = (56.2mm + 1.2mm \cdot (1 + \cos e c (\frac{0.5° + 0.2°}{2}) \cdot \cos (\frac{0.5° - 0.2°}{2})) - 8.2mm) \cdot (\tan (0.5°) + \tan (0.2°))

Next Step Convert Units

∴

P = (0.0562m + 0.0012m \cdot (1 + \cos e c (\frac{0.0087rad + 0.0035rad}{2}) \cdot \cos (\frac{0.0087rad - 0.0035rad}{2})) - 0.0082m) \cdot (\tan (0.0087rad) + \tan (0.0035rad))

Next Step Prepare to Evaluate

∴

P = (0.0562 + 0.0012 \cdot (1 + \cos e c (\frac{0.0087 + 0.0035}{2}) \cdot \cos (\frac{0.0087 - 0.0035}{2})) - 0.0082) \cdot (\tan (0.0087) + \tan (0.0035))

Next Step Evaluate

∴

P = 0.00300115599615783m

Next Step Convert to Output's Unit

∴

P = 3.00115599615783mm

LAST Step Rounding Answer

∴

P = 3.0012mm

Pitch of Screw Unsymmetrical Threads Formula Elements

Variables

Functions

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

Thickness of Screw

Thickness of Screw in threaded fasteners, is the diameter at which the width of the thread ridge and the groove are equal.

Symbol: D_u

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Thickness of Screw

Wire Diameter

Wire Diameter is the diameter of the wire in thread measurements.

Symbol: G

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Wire Diameter

Large Angle

Large Angle is the angle specified by the manufacturer of given unsymmetrical thread.

Symbol: a₁

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Large Angle

Small Angle

A Small Angle is an angle specified by the manufacturer for the given thread.

Symbol: a₂

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Small Angle

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

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

tan

The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle.

Syntax: tan(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 to find Screw Pitch

Go Pitch for modified buttress 45deg and 7deg

P = \frac{G}{0.54147}

Other formulas in Unsymmetrical Threads category

Go Pitch diameter unsymmetrical threads

D u = M + (\frac{P}{\tan (a 1) + \tan (a 2)}) - G \cdot (1 + \cos e c (\frac{a 1 + a 2}{2}) \cdot \cos (\frac{a 1 - a 2}{2}))

Go Micrometer reading per measurement

M = D u - (\frac{P}{\tan (a 1) + \tan (a 2)}) + G \cdot (1 + \cos e c (\frac{a 1 + a 2}{2}) \cdot \cos (\frac{a 1 - a 2}{2}))

Go Best size wire

G = P \cdot (\frac{\tan (\frac{a 1 + a 2}{2}) \cdot \sec (a 1)}{\tan (a 1) + \tan (a 2)})

Go Best wire size for modified buttress 45deg and 7deg

G = 0.54147 \cdot P

How to Evaluate Pitch of Screw Unsymmetrical Threads?

Pitch of Screw Unsymmetrical Threads evaluator uses Screw Pitch = (Thickness of Screw+Wire Diameter*(1+cosec((Large Angle+Small Angle)/2)*cos((Large Angle-Small Angle)/2))-Micrometer Reading)*(tan(Large Angle)+tan(Small Angle)) to evaluate the Screw Pitch, The Pitch of Screw Unsymmetrical Threads formula is defined as the distance from a point on the screw thread to a corresponding point on the next thread measured parallel to the axis of the thread. It is represented by the letter p. (p=1/n). Screw Pitch is denoted by P symbol.

How to evaluate Pitch of Screw Unsymmetrical Threads using this online evaluator? To use this online evaluator for Pitch of Screw Unsymmetrical Threads, enter Thickness of Screw (D_u), Wire Diameter (G), Large Angle (a₁), Small Angle (a₂) & Micrometer Reading (M) and hit the calculate button.

FAQs on Pitch of Screw Unsymmetrical Threads

What is the formula to find Pitch of Screw Unsymmetrical Threads?

The formula of Pitch of Screw Unsymmetrical Threads is expressed as Screw Pitch = (Thickness of Screw+Wire Diameter*(1+cosec((Large Angle+Small Angle)/2)*cos((Large Angle-Small Angle)/2))-Micrometer Reading)*(tan(Large Angle)+tan(Small Angle)). Here is an example- 3169.758 = (0.0562+0.0012*(1+cosec((0.00872664625997001+0.003490658503988)/2)*cos((0.00872664625997001-0.003490658503988)/2))-0.0082)*(tan(0.00872664625997001)+tan(0.003490658503988)).

How to calculate Pitch of Screw Unsymmetrical Threads?

With Thickness of Screw (D_u), Wire Diameter (G), Large Angle (a₁), Small Angle (a₂) & Micrometer Reading (M) we can find Pitch of Screw Unsymmetrical Threads using the formula - Screw Pitch = (Thickness of Screw+Wire Diameter*(1+cosec((Large Angle+Small Angle)/2)*cos((Large Angle-Small Angle)/2))-Micrometer Reading)*(tan(Large Angle)+tan(Small Angle)). This formula also uses Cosine (cos)Tangent (tan)Secant (sec), Cosecant (cosec) function(s).

What are the other ways to Calculate Screw Pitch?

Here are the different ways to Calculate Screw Pitch-

Screw Pitch=Wire Diameter/0.54147

Can the Pitch of Screw Unsymmetrical Threads be negative?

No, the Pitch of Screw Unsymmetrical Threads, measured in Length cannot be negative.

Which unit is used to measure Pitch of Screw Unsymmetrical Threads?

Pitch of Screw Unsymmetrical Threads is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Pitch of Screw Unsymmetrical Threads can be measured.

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Pitch of Screw Unsymmetrical Threads Formula

​GoPitch for modified buttress 45deg and 7deg Formula

Pitch of Screw Unsymmetrical Threads Example

Pitch of Screw Unsymmetrical Threads Solution

Pitch of Screw Unsymmetrical Threads Formula Elements

Other Formulas to find Screw Pitch

Other formulas in Unsymmetrical Threads category

How to Evaluate Pitch of Screw Unsymmetrical Threads?

FAQs on Pitch of Screw Unsymmetrical Threads

Variable Name

GoPitch for modified buttress 45deg and 7deg Formula