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Pitch diameter unsymmetrical threads Formula

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

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}))

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

Pitch diameter unsymmetrical threads Example

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Here is how the Pitch diameter unsymmetrical threads equation looks like with Values.

Here is how the Pitch diameter unsymmetrical threads equation looks like with Units.

Here is how the Pitch diameter unsymmetrical threads equation looks like.

56.1054 = 8.2 + (\frac{3}{\tan (0.5) + \tan (0.2)}) - 1.2 \cdot (1 + \cos e c (\frac{0.5 + 0.2}{2}) \cdot \cos (\frac{0.5 - 0.2}{2}))

56.1054mm = 8.2mm + (\frac{3mm}{\tan (0.5°) + \tan (0.2°)}) - 1.2mm \cdot (1 + \cos e c (\frac{0.5° + 0.2°}{2}) \cdot \cos (\frac{0.5° - 0.2°}{2}))

56.1054 = 8.2 + (\frac{3}{\tan (0.5) + \tan (0.2)}) - 1.2 \cdot (1 + \cos e c (\frac{0.5 + 0.2}{2}) \cdot \cos (\frac{0.5 - 0.2}{2}))

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Pitch diameter unsymmetrical threads Solution

Follow our step by step solution on how to calculate Pitch diameter unsymmetrical threads?

FIRST Step Consider the formula

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}))

Next Step Substitute values of Variables

∴

D u = 8.2mm + (\frac{3mm}{\tan (0.5°) + \tan (0.2°)}) - 1.2mm \cdot (1 + \cos e c (\frac{0.5° + 0.2°}{2}) \cdot \cos (\frac{0.5° - 0.2°}{2}))

Next Step Convert Units

∴

D u = 0.0082m + (\frac{0.003m}{\tan (0.0087rad) + \tan (0.0035rad)}) - 0.0012m \cdot (1 + \cos e c (\frac{0.0087rad + 0.0035rad}{2}) \cdot \cos (\frac{0.0087rad - 0.0035rad}{2}))

Next Step Prepare to Evaluate

∴

D u = 0.0082 + (\frac{0.003}{\tan (0.0087) + \tan (0.0035)}) - 0.0012 \cdot (1 + \cos e c (\frac{0.0087 + 0.0035}{2}) \cdot \cos (\frac{0.0087 - 0.0035}{2}))

Next Step Evaluate

∴

D u = 0.0561053822526353m

Next Step Convert to Output's Unit

∴

D u = 56.1053822526353mm

LAST Step Rounding Answer

∴

D u = 56.1054mm

Pitch diameter unsymmetrical threads Formula Elements

Variables

Functions

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

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

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

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

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

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 in Unsymmetrical Threads category

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 Pitch of Screw Unsymmetrical Threads

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))

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 diameter unsymmetrical threads?

Pitch diameter unsymmetrical threads evaluator uses Thickness of Screw = Micrometer Reading+(Screw Pitch/(tan(Large Angle)+tan(Small Angle)))-Wire Diameter*(1+cosec((Large Angle+Small Angle)/2)*cos((Large Angle-Small Angle)/2)) to evaluate the Thickness of Screw, The Pitch Diameter Unsymmetrical Threads formula refers to the diameter of an imaginary cylinder that would pass through the thread profile at the point where the width of the threads and the width of the spaces between the threads are equal. Thickness of Screw is denoted by D_u symbol.

How to evaluate Pitch diameter unsymmetrical threads using this online evaluator? To use this online evaluator for Pitch diameter unsymmetrical threads, enter Micrometer Reading (M), Screw Pitch (P), Large Angle (a₁), Small Angle (a₂) & Wire Diameter (G) and hit the calculate button.

FAQs on Pitch diameter unsymmetrical threads

What is the formula to find Pitch diameter unsymmetrical threads?

The formula of Pitch diameter unsymmetrical threads is expressed as Thickness of Screw = Micrometer Reading+(Screw Pitch/(tan(Large Angle)+tan(Small Angle)))-Wire Diameter*(1+cosec((Large Angle+Small Angle)/2)*cos((Large Angle-Small Angle)/2)). Here is an example- 56105.38 = 0.0082+(0.003/(tan(0.00872664625997001)+tan(0.003490658503988)))-0.0012*(1+cosec((0.00872664625997001+0.003490658503988)/2)*cos((0.00872664625997001-0.003490658503988)/2)).

How to calculate Pitch diameter unsymmetrical threads?

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

Can the Pitch diameter unsymmetrical threads be negative?

No, the Pitch diameter unsymmetrical threads, measured in Length cannot be negative.

Which unit is used to measure Pitch diameter unsymmetrical threads?

Pitch diameter 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 diameter unsymmetrical threads can be measured.

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Pitch diameter unsymmetrical threads Formula

Pitch diameter unsymmetrical threads Example

Pitch diameter unsymmetrical threads Solution

Pitch diameter unsymmetrical threads Formula Elements

Other formulas in Unsymmetrical Threads category

How to Evaluate Pitch diameter unsymmetrical threads?

FAQs on Pitch diameter unsymmetrical threads

Variable Name