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Diameter of bolt pitch circle given torque resisted by n bolts Formula

GoDiameter of bolt pitch circle given torque resisted by one bolt Formula

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The Diameter of Bolt Pitch Circle is the distance across the circle that passes through the centers of the bolt holes in a flanged coupling. Check FAQs

d pitch = \frac{8 \cdot T bolt}{f s \cdot π \cdot ({d bolt}^{2}) \cdot n}

d_pitch - Diameter of Bolt Pitch Circle?T_bolt - Torque Resisted by Bolt?f_s - Shear Stress in Bolt?d_bolt - Diameter of Bolt?n - Number of Bolts?π - Archimedes' constant?

Diameter of bolt pitch circle given torque resisted by n bolts Example

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Here is how the Diameter of bolt pitch circle given torque resisted by n bolts equation looks like with Values.

Here is how the Diameter of bolt pitch circle given torque resisted by n bolts equation looks like with Units.

Here is how the Diameter of bolt pitch circle given torque resisted by n bolts equation looks like.

27.208 = \frac{8 \cdot 49}{14 \cdot 3.1416 \cdot ({18.09}^{2}) \cdot 1.001}

27.208mm = \frac{8 \cdot 49N*m}{14N/mm² \cdot 3.1416 \cdot ({18.09mm}^{2}) \cdot 1.001}

27.208 = \frac{8 \cdot 49}{14 \cdot 3.1416 \cdot ({18.09}^{2}) \cdot 1.001}

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Diameter of bolt pitch circle given torque resisted by n bolts Solution

Follow our step by step solution on how to calculate Diameter of bolt pitch circle given torque resisted by n bolts?

FIRST Step Consider the formula

d pitch = \frac{8 \cdot T bolt}{f s \cdot π \cdot ({d bolt}^{2}) \cdot n}

Next Step Substitute values of Variables

∴

d pitch = \frac{8 \cdot 49N*m}{14N/mm² \cdot π \cdot ({18.09mm}^{2}) \cdot 1.001}

Next Step Substitute values of Constants

∴

d pitch = \frac{8 \cdot 49N*m}{14N/mm² \cdot 3.1416 \cdot ({18.09mm}^{2}) \cdot 1.001}

Next Step Convert Units

∴

d pitch = \frac{8 \cdot 49N*m}{1.4E+7Pa \cdot 3.1416 \cdot ({0.0181m}^{2}) \cdot 1.001}

Next Step Prepare to Evaluate

∴

d pitch = \frac{8 \cdot 49}{1.4E+7 \cdot 3.1416 \cdot ({0.0181}^{2}) \cdot 1.001}

Next Step Evaluate

∴

d pitch = 0.0272080205816505m

Next Step Convert to Output's Unit

∴

d pitch = 27.2080205816505mm

LAST Step Rounding Answer

∴

d pitch = 27.208mm

Diameter of bolt pitch circle given torque resisted by n bolts Formula Elements

Variables

Constants

Diameter of Bolt Pitch Circle

The Diameter of Bolt Pitch Circle is the distance across the circle that passes through the centers of the bolt holes in a flanged coupling.

Symbol: d_pitch

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Diameter of Bolt Pitch Circle

Torque Resisted by Bolt

The Torque Resisted by Bolt is the rotational force that a bolt can withstand before failure, ensuring the integrity of connections in flanged couplings.

Symbol: T_bolt

Measurement: TorqueUnit: N*m

Note: Value should be greater than 0.

Formulas to find Torque Resisted by Bolt

Shear Stress in Bolt

The Shear Stress in Bolt is the internal force per unit area acting parallel to the surface of the bolt, crucial for assessing the bolt's structural integrity in flanged couplings.

Symbol: f_s

Measurement: PressureUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Shear Stress in Bolt

Diameter of Bolt

The Diameter of Bolt is the measurement across the widest part of the bolt, essential for ensuring proper fit and compatibility in flanged coupling applications.

Symbol: d_bolt

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Diameter of Bolt

Number of Bolts

The Number of Bolts is the total count of bolts used in a flanged coupling, essential for ensuring secure connections in mechanical assemblies.

Symbol: n

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Number of Bolts

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other Formulas to find Diameter of Bolt Pitch Circle

Go Diameter of bolt pitch circle given torque resisted by one bolt

d pitch = \frac{8 \cdot T bolt}{f s \cdot π \cdot ({d bolt}^{2})}

Other formulas in Flanged Coupling category

Go Maximum amount of load that can be resisted by one bolt

W = \frac{f s \cdot π \cdot {d bolt}^{2}}{4}

Go Shear Stress in Bolt using Maximum Load that can be Resisted by One Bolt

f s = \frac{4 \cdot W}{π \cdot ({d bolt}^{2})}

Go Diameter of bolt given maximum load that can be resisted by one bolt

d bolt = \sqrt{\frac{4 \cdot W}{π \cdot f s}}

Go Torque Resisted by One Bolt using Load Resisted by One Bolt

T bolt = W \cdot \frac{d pitch}{2}

How to Evaluate Diameter of bolt pitch circle given torque resisted by n bolts?

Diameter of bolt pitch circle given torque resisted by n bolts evaluator uses Diameter of Bolt Pitch Circle = (8*Torque Resisted by Bolt)/(Shear Stress in Bolt*pi*(Diameter of Bolt^2)*Number of Bolts) to evaluate the Diameter of Bolt Pitch Circle, Diameter of bolt pitch circle given torque resisted by n bolts formula is defined as the diameter of the circle on which the bolts are arranged in a flanged coupling, which is a critical parameter in determining the mechanical strength and stability of the coupling. Diameter of Bolt Pitch Circle is denoted by d_pitch symbol.

How to evaluate Diameter of bolt pitch circle given torque resisted by n bolts using this online evaluator? To use this online evaluator for Diameter of bolt pitch circle given torque resisted by n bolts, enter Torque Resisted by Bolt (T_bolt), Shear Stress in Bolt (f_s), Diameter of Bolt (d_bolt) & Number of Bolts (n) and hit the calculate button.

FAQs on Diameter of bolt pitch circle given torque resisted by n bolts

What is the formula to find Diameter of bolt pitch circle given torque resisted by n bolts?

The formula of Diameter of bolt pitch circle given torque resisted by n bolts is expressed as Diameter of Bolt Pitch Circle = (8*Torque Resisted by Bolt)/(Shear Stress in Bolt*pi*(Diameter of Bolt^2)*Number of Bolts). Here is an example- 9078.41 = (8*49)/(14000000*pi*(0.01809^2)*1.001).

How to calculate Diameter of bolt pitch circle given torque resisted by n bolts?

With Torque Resisted by Bolt (T_bolt), Shear Stress in Bolt (f_s), Diameter of Bolt (d_bolt) & Number of Bolts (n) we can find Diameter of bolt pitch circle given torque resisted by n bolts using the formula - Diameter of Bolt Pitch Circle = (8*Torque Resisted by Bolt)/(Shear Stress in Bolt*pi*(Diameter of Bolt^2)*Number of Bolts). This formula also uses Archimedes' constant .

What are the other ways to Calculate Diameter of Bolt Pitch Circle?

Here are the different ways to Calculate Diameter of Bolt Pitch Circle-

Diameter of Bolt Pitch Circle=(8*Torque Resisted by Bolt)/(Shear Stress in Bolt*pi*(Diameter of Bolt^2))

Can the Diameter of bolt pitch circle given torque resisted by n bolts be negative?

No, the Diameter of bolt pitch circle given torque resisted by n bolts, measured in Length cannot be negative.

Which unit is used to measure Diameter of bolt pitch circle given torque resisted by n bolts?

Diameter of bolt pitch circle given torque resisted by n bolts is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Diameter of bolt pitch circle given torque resisted by n bolts can be measured.

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Diameter of bolt pitch circle given torque resisted by n bolts Formula

​GoDiameter of bolt pitch circle given torque resisted by one bolt Formula

Diameter of bolt pitch circle given torque resisted by n bolts Example

Diameter of bolt pitch circle given torque resisted by n bolts Solution

Diameter of bolt pitch circle given torque resisted by n bolts Formula Elements

Other Formulas to find Diameter of Bolt Pitch Circle

Other formulas in Flanged Coupling category

How to Evaluate Diameter of bolt pitch circle given torque resisted by n bolts?

FAQs on Diameter of bolt pitch circle given torque resisted by n bolts

Variable Name

GoDiameter of bolt pitch circle given torque resisted by one bolt Formula