Diameter of bolt given torque resisted by n bolts Calculator

✖The Torque Resisted by Bolt is the rotational force that a bolt can withstand before failure, ensuring the integrity of connections in flanged couplings.ⓘ Torque Resisted by Bolt [T_bolt]			+10% -10%
✖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.ⓘ Shear Stress in Bolt [f_s]			+10% -10%
✖The Number of Bolts is the total count of bolts used in a flanged coupling, essential for ensuring secure connections in mechanical assemblies.ⓘ Number of Bolts [n]			+10% -10%
✖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.ⓘ Diameter of Bolt Pitch Circle [d_pitch]			+10% -10%

✖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.ⓘ Diameter of bolt given torque resisted by n bolts [d_bolt]

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Diameter of bolt given torque resisted by n bolts Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diameter of Bolt = sqrt((8*Torque Resisted by Bolt)/(Shear Stress in Bolt*pi*Number of Bolts*Diameter of Bolt Pitch Circle))
d_bolt = sqrt((8*T_bolt)/(f_s*pi*n*d_pitch))
This formula uses 1 Constants, 1 Functions, 5 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

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., sqrt(Number)

Variables Used

Diameter of Bolt - (Measured in Meter) - 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.
Torque Resisted by Bolt - (Measured in Newton Meter) - The Torque Resisted by Bolt is the rotational force that a bolt can withstand before failure, ensuring the integrity of connections in flanged couplings.
Shear Stress in Bolt - (Measured in Pascal) - 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.
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.
Diameter of Bolt Pitch Circle - (Measured in Meter) - 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.

STEP 1: Convert Input(s) to Base Unit

Torque Resisted by Bolt: 49 Newton Meter --> 49 Newton Meter No Conversion Required
Shear Stress in Bolt: 14 Newton per Square Millimeter --> 14000000 Pascal (Check conversion here)
Number of Bolts: 1.001 --> No Conversion Required
Diameter of Bolt Pitch Circle: 27.23 Millimeter --> 0.02723 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_bolt = sqrt((8*T_bolt)/(f_s*pi*n*d_pitch)) --> sqrt((8*49)/(14000000*pi*1.001*0.02723))

Evaluating ... ...

d_bolt = 0.0180826976139324

STEP 3: Convert Result to Output's Unit

0.0180826976139324 Meter -->18.0826976139324 Millimeter (Check conversion here)

FINAL ANSWER

18.0826976139324 ≈ 18.0827 Millimeter <-- Diameter of Bolt

(Calculation completed in 00.020 seconds)

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Home » Physics » Strength of Materials » Torsion of Shafts And Springs » Mechanical » Flanged Coupling » Diameter of bolt given torque resisted by n bolts

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National Institute Of Technology (NIT), Hamirpur

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< Flanged Coupling Calculators

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

LaTeX Go Diameter of Bolt = sqrt((4*Load Resisted by One Bolt)/(pi*Shear Stress in Bolt))

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

LaTeX Go Shear Stress in Bolt = (4*Load Resisted by One Bolt)/(pi*(Diameter of Bolt^2))

Maximum amount of load that can be resisted by one bolt

LaTeX Go Load Resisted by One Bolt = (Shear Stress in Bolt*pi*Diameter of Bolt^2)/4

Torque Resisted by One Bolt using Load Resisted by One Bolt

LaTeX Go Torque Resisted by Bolt = Load Resisted by One Bolt*Diameter of Bolt Pitch Circle/2

Diameter of bolt given torque resisted by n bolts Formula

LaTeX Go

Diameter of Bolt = sqrt((8*Torque Resisted by Bolt)/(Shear Stress in Bolt*pi*Number of Bolts*Diameter of Bolt Pitch Circle))
d_bolt = sqrt((8*T_bolt)/(f_s*pi*n*d_pitch))

What is Torque and its application?

Torque is the application of force where there is rotational motion. The most obvious example of torque in action is the operation of a crescent wrench loosening a lug nut, and a close second is a playground seesaw.

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

Diameter of bolt given torque resisted by n bolts calculator uses Diameter of Bolt = sqrt((8*Torque Resisted by Bolt)/(Shear Stress in Bolt*pi*Number of Bolts*Diameter of Bolt Pitch Circle)) to calculate 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 calculate Diameter of bolt given torque resisted by n bolts using this online calculator? To use this online calculator 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. Here is how the Diameter of bolt given torque resisted by n bolts calculation can be explained with given input values -> 10445.27 = sqrt((8*49)/(14000000*pi*1.001*0.02723)).

FAQ

What is Diameter of bolt given torque resisted by n bolts?

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 and is represented as d_bolt = sqrt((8*T_bolt)/(f_s*pi*n*d_pitch)) or Diameter of Bolt = sqrt((8*Torque Resisted by Bolt)/(Shear Stress in Bolt*pi*Number of Bolts*Diameter of Bolt Pitch Circle)). The Torque Resisted by Bolt is the rotational force that a bolt can withstand before failure, ensuring the integrity of connections in flanged couplings, 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, The Number of Bolts is the total count of bolts used in a flanged coupling, essential for ensuring secure connections in mechanical assemblies & 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.

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

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 is calculated using Diameter of Bolt = sqrt((8*Torque Resisted by Bolt)/(Shear Stress in Bolt*pi*Number of Bolts*Diameter of Bolt Pitch Circle)). To calculate Diameter of bolt given torque resisted by n bolts, you need Torque Resisted by Bolt (T_bolt), Shear Stress in Bolt (f_s), Number of Bolts (n) & Diameter of Bolt Pitch Circle (d_pitch). With our tool, you need to enter the respective value for Torque Resisted by Bolt, Shear Stress in Bolt, Number of Bolts & Diameter of Bolt Pitch Circle and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Diameter of Bolt?

In this formula, Diameter of Bolt uses Torque Resisted by Bolt, Shear Stress in Bolt, Number of Bolts & Diameter of Bolt Pitch Circle. We can use 2 other way(s) to calculate the same, which is/are as follows -

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))

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