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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 a chord that runs through the center point of the circle. 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.

15.7345 = \sqrt{\frac{8 \cdot 49}{14 \cdot 3.1416 \cdot 3 \cdot 12}}

15.7345mm = \sqrt{\frac{8 \cdot 49N*m}{14N/mm² \cdot 3.1416 \cdot 3 \cdot 12mm}}

15.7345 = \sqrt{\frac{8 \cdot 49}{14 \cdot 3.1416 \cdot 3 \cdot 12}}

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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 3 \cdot 12mm}}

Next Step Substitute values of Constants

∴

d bolt = \sqrt{\frac{8 \cdot 49N*m}{14N/mm² \cdot 3.1416 \cdot 3 \cdot 12mm}}

Next Step Convert Units

∴

d bolt = \sqrt{\frac{8 \cdot 49N*m}{1.4E+7Pa \cdot 3.1416 \cdot 3 \cdot 0.012m}}

Next Step Prepare to Evaluate

∴

d bolt = \sqrt{\frac{8 \cdot 49}{1.4E+7 \cdot 3.1416 \cdot 3 \cdot 0.012}}

Next Step Evaluate

∴

d bolt = 0.0157344957313772m

Next Step Convert to Output's Unit

∴

d bolt = 15.7344957313772mm

LAST Step Rounding Answer

∴

d bolt = 15.7345mm

Diameter of bolt given torque resisted by n bolts Formula Elements

Variables

Constants

Functions

Diameter of Bolt

The Diameter of Bolt is a chord that runs through the center point of the circle.

Symbol: d_bolt

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Diameter of Bolt

Torque resisted by bolt

Torque resisted by bolt is described as the turning effect of force on the axis of rotation. In brief, it is a moment of force. It is characterized by τ.

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

Shear Stress in Bolt, force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.

Symbol: f_s

Measurement: PressureUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Shear Stress in Bolt

Number of Bolts

Number of Bolts is simply defined as the number of bolts that are under our consideration.

Symbol: n

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Number of Bolts

Diameter of bolt pitch circle

Diameter of bolt pitch circle is a chord that runs through the center point of the circle.

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 is defined as a chord that runs through the circle's center point. 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- 15734.5 = sqrt((8*49)/(14000000*pi*3*0.012)).

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 Function 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