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Number of bolts given torque resisted by n bolts Formula

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

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

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

Number of bolts given torque resisted by n bolts Example

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Here is how the Number of bolts given torque resisted by n bolts equation looks like with Values.

Here is how the Number of bolts given torque resisted by n bolts equation looks like with Units.

Here is how the Number of bolts given torque resisted by n bolts equation looks like.

1.0002 = \frac{8 \cdot 49}{14 \cdot 3.1416 \cdot ({18.09}^{2}) \cdot 27.23}

1.0002 = \frac{8 \cdot 49N*m}{14N/mm² \cdot 3.1416 \cdot ({18.09mm}^{2}) \cdot 27.23mm}

1.0002 = \frac{8 \cdot 49}{14 \cdot 3.1416 \cdot ({18.09}^{2}) \cdot 27.23}

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Number of bolts given torque resisted by n bolts Solution

Follow our step by step solution on how to calculate Number of bolts given torque resisted by n bolts?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

n = \frac{8 \cdot 49N*m}{14N/mm² \cdot π \cdot ({18.09mm}^{2}) \cdot 27.23mm}

Next Step Substitute values of Constants

∴

n = \frac{8 \cdot 49N*m}{14N/mm² \cdot 3.1416 \cdot ({18.09mm}^{2}) \cdot 27.23mm}

Next Step Convert Units

∴

n = \frac{8 \cdot 49N*m}{1.4E+7Pa \cdot 3.1416 \cdot ({0.0181m}^{2}) \cdot 0.0272m}

Next Step Prepare to Evaluate

∴

n = \frac{8 \cdot 49}{1.4E+7 \cdot 3.1416 \cdot ({0.0181}^{2}) \cdot 0.0272}

Next Step Evaluate

∴

n = 1.00019201624062

LAST Step Rounding Answer

∴

n = 1.0002

Number of bolts given torque resisted by n bolts Formula Elements

Variables

Constants

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

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

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

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 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 Number of bolts given torque resisted by n bolts?

Number of bolts given torque resisted by n bolts evaluator uses Number of Bolts = (8*Torque Resisted by Bolt)/(Shear Stress in Bolt*pi*(Diameter of Bolt^2)*Diameter of Bolt Pitch Circle) to evaluate the Number of Bolts, Number of bolts given torque resisted by n bolts formula is defined as a method to determine the required number of bolts in a flanged coupling system, considering the torque resisted by each bolt, to ensure the structural integrity and safety of the system. Number of Bolts is denoted by n symbol.

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

FAQs on Number of bolts given torque resisted by n bolts

What is the formula to find Number of bolts given torque resisted by n bolts?

The formula of Number of bolts given torque resisted by n bolts is expressed as Number of Bolts = (8*Torque Resisted by Bolt)/(Shear Stress in Bolt*pi*(Diameter of Bolt^2)*Diameter of Bolt Pitch Circle). Here is an example- 1.000192 = (8*49)/(14000000*pi*(0.01809^2)*0.02723).

How to calculate Number of bolts given torque resisted by n bolts?

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

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Number of bolts given torque resisted by n bolts Formula

Number of bolts given torque resisted by n bolts Example

Number of bolts given torque resisted by n bolts Solution

Number of bolts given torque resisted by n bolts Formula Elements

Other formulas in Flanged Coupling category

How to Evaluate Number of bolts given torque resisted by n bolts?

FAQs on Number of bolts given torque resisted by n bolts

Variable Name