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Diameter of bolt given torque resisted by n bolts Formula

GoDiameter of bolt given maximum load that can be resisted by one bolt Formula

GoDiameter of bolt given torque resisted by one bolt Formula

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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. Check FAQs

d bolt = \sqrt{\frac{8 \cdot T bolt}{f s \cdot π \cdot n \cdot d pitch}}

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

Diameter of bolt given torque resisted by n bolts Example

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

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

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

18.0827 = \sqrt{\frac{8 \cdot 49}{14 \cdot 3.1416 \cdot 1.001 \cdot 27.23}}

18.0827mm = \sqrt{\frac{8 \cdot 49N*m}{14N/mm² \cdot 3.1416 \cdot 1.001 \cdot 27.23mm}}

18.0827 = \sqrt{\frac{8 \cdot 49}{14 \cdot 3.1416 \cdot 1.001 \cdot 27.23}}

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Diameter of bolt given torque resisted by n bolts Solution

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

FIRST Step Consider the formula

d bolt = \sqrt{\frac{8 \cdot T bolt}{f s \cdot π \cdot n \cdot d pitch}}

Next Step Substitute values of Variables

∴

d bolt = \sqrt{\frac{8 \cdot 49N*m}{14N/mm² \cdot π \cdot 1.001 \cdot 27.23mm}}

Next Step Substitute values of Constants

∴

d bolt = \sqrt{\frac{8 \cdot 49N*m}{14N/mm² \cdot 3.1416 \cdot 1.001 \cdot 27.23mm}}

Next Step Convert Units

∴

d bolt = \sqrt{\frac{8 \cdot 49N*m}{1.4E+7Pa \cdot 3.1416 \cdot 1.001 \cdot 0.0272m}}

Next Step Prepare to Evaluate

∴

d bolt = \sqrt{\frac{8 \cdot 49}{1.4E+7 \cdot 3.1416 \cdot 1.001 \cdot 0.0272}}

Next Step Evaluate

∴

d bolt = 0.0180826976139324m

Next Step Convert to Output's Unit

∴

d bolt = 18.0826976139324mm

LAST Step Rounding Answer

∴

d bolt = 18.0827mm

Diameter of bolt given torque resisted by n bolts Formula Elements

Variables

Constants

Functions

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

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

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

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

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find Diameter of Bolt

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 Diameter of bolt given torque resisted by one bolt

d bolt = \sqrt{\frac{8 \cdot T bolt}{f s \cdot π \cdot d pitch}}

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 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}

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

Diameter of bolt given torque resisted by n bolts evaluator uses Diameter of Bolt = sqrt((8*Torque Resisted by Bolt)/(Shear Stress in Bolt*pi*Number of Bolts*Diameter of Bolt Pitch Circle)) to evaluate the Diameter of Bolt, Diameter of bolt given torque resisted by n bolts formula is defined as a measure of the diameter of a bolt that resists a certain amount of torque, taking into account the force of friction, the number of bolts, and the pitch diameter, which is essential in designing and analyzing flanged couplings in mechanical systems. Diameter of Bolt is denoted by d_bolt symbol.

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

FAQs on Diameter of bolt given torque resisted by n bolts

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

The formula of Diameter of bolt given torque resisted by n bolts is expressed as Diameter of Bolt = sqrt((8*Torque Resisted by Bolt)/(Shear Stress in Bolt*pi*Number of Bolts*Diameter of Bolt Pitch Circle)). Here is an example- 10445.27 = sqrt((8*49)/(14000000*pi*1.001*0.02723)).

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

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

What are the other ways to Calculate Diameter of Bolt?

Here are the different ways to Calculate Diameter of Bolt-

Diameter of Bolt=sqrt((4*Load Resisted by One Bolt)/(pi*Shear Stress in Bolt))
Diameter of Bolt=sqrt((8*Torque Resisted by Bolt)/(Shear Stress in Bolt*pi*Diameter of Bolt Pitch Circle))

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

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

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

Diameter of bolt 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 given torque resisted by n bolts can be measured.

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Diameter of bolt given torque resisted by n bolts Formula

​GoDiameter of bolt given maximum load that can be resisted by one bolt Formula

​GoDiameter of bolt given torque resisted by one bolt Formula

Diameter of bolt given torque resisted by n bolts Example

Diameter of bolt given torque resisted by n bolts Solution

Diameter of bolt given torque resisted by n bolts Formula Elements

Other Formulas to find Diameter of Bolt

Other formulas in Flanged Coupling category

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

FAQs on Diameter of bolt given torque resisted by n bolts

Variable Name

GoDiameter of bolt given maximum load that can be resisted by one bolt Formula

GoDiameter of bolt given torque resisted by one bolt Formula