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Total torque resisted by n number of bolts Formula

GoTorque Resisted by One Bolt using Load Resisted by One Bolt Formula

GoTorque resisted by one bolt given shear stress in bolt Formula

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

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

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

Total torque resisted by n number of bolts Example

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

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

Here is how the Total torque resisted by n number of bolts equation looks like.

49.0396 = \frac{1.001 \cdot 14 \cdot 3.1416 \cdot ({18.09}^{2}) \cdot 27.23}{8}

49.0396N*m = \frac{1.001 \cdot 14N/mm² \cdot 3.1416 \cdot ({18.09mm}^{2}) \cdot 27.23mm}{8}

49.0396 = \frac{1.001 \cdot 14 \cdot 3.1416 \cdot ({18.09}^{2}) \cdot 27.23}{8}

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Total torque resisted by n number of bolts Solution

Follow our step by step solution on how to calculate Total torque resisted by n number of bolts?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

T bolt = \frac{1.001 \cdot 14N/mm² \cdot π \cdot ({18.09mm}^{2}) \cdot 27.23mm}{8}

Next Step Substitute values of Constants

∴

T bolt = \frac{1.001 \cdot 14N/mm² \cdot 3.1416 \cdot ({18.09mm}^{2}) \cdot 27.23mm}{8}

Next Step Convert Units

∴

T bolt = \frac{1.001 \cdot 1.4E+7Pa \cdot 3.1416 \cdot ({0.0181m}^{2}) \cdot 0.0272m}{8}

Next Step Prepare to Evaluate

∴

T bolt = \frac{1.001 \cdot 1.4E+7 \cdot 3.1416 \cdot ({0.0181}^{2}) \cdot 0.0272}{8}

Next Step Evaluate

∴

T bolt = 49.0395836035147N*m

LAST Step Rounding Answer

∴

T bolt = 49.0396N*m

Total torque resisted by n number of bolts Formula Elements

Variables

Constants

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

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

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 to find Torque Resisted by Bolt

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

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

Go Torque resisted by one bolt given shear stress in bolt

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

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 Shear stress in bolt given torque resisted by one bolt

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

How to Evaluate Total torque resisted by n number of bolts?

Total torque resisted by n number of bolts evaluator uses Torque Resisted by Bolt = (Number of Bolts*Shear Stress in Bolt*pi*(Diameter of Bolt^2)*Diameter of Bolt Pitch Circle)/8 to evaluate the Torque Resisted by Bolt, Total torque resisted by n number of bolts formula is defined as the measure of rotational force that opposes the motion of a flanged coupling, which is a critical component in mechanical systems, and is essential in determining the efficiency and performance of the system. Torque Resisted by Bolt is denoted by T_bolt symbol.

How to evaluate Total torque resisted by n number of bolts using this online evaluator? To use this online evaluator for Total torque resisted by n number of bolts, enter Number of Bolts (n), 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 Total torque resisted by n number of bolts

What is the formula to find Total torque resisted by n number of bolts?

The formula of Total torque resisted by n number of bolts is expressed as Torque Resisted by Bolt = (Number of Bolts*Shear Stress in Bolt*pi*(Diameter of Bolt^2)*Diameter of Bolt Pitch Circle)/8. Here is an example- 146.9718 = (1.001*14000000*pi*(0.01809^2)*0.02723)/8.

How to calculate Total torque resisted by n number of bolts?

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

What are the other ways to Calculate Torque Resisted by Bolt?

Here are the different ways to Calculate Torque Resisted by Bolt-

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

Can the Total torque resisted by n number of bolts be negative?

No, the Total torque resisted by n number of bolts, measured in Torque cannot be negative.

Which unit is used to measure Total torque resisted by n number of bolts?

Total torque resisted by n number of bolts is usually measured using the Newton Meter[N*m] for Torque. Newton Centimeter[N*m], Newton Millimeter[N*m], Kilonewton Meter[N*m] are the few other units in which Total torque resisted by n number of bolts can be measured.

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: Value
: Unit

Total torque resisted by n number of bolts Formula

​GoTorque Resisted by One Bolt using Load Resisted by One Bolt Formula

​GoTorque resisted by one bolt given shear stress in bolt Formula

Total torque resisted by n number of bolts Example

Total torque resisted by n number of bolts Solution

Total torque resisted by n number of bolts Formula Elements

Other Formulas to find Torque Resisted by Bolt

Other formulas in Flanged Coupling category

How to Evaluate Total torque resisted by n number of bolts?

FAQs on Total torque resisted by n number of bolts

Variable Name

GoTorque Resisted by One Bolt using Load Resisted by One Bolt Formula

GoTorque resisted by one bolt given shear stress in bolt Formula