Number of bolts given torque resisted by n bolts Calculator

✖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.ⓘ Torque resisted by bolt [T_bolt]			+10% -10%
✖Shear Stress in Bolt, force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.ⓘ Shear Stress in Bolt [f_s]			+10% -10%
✖The Diameter of Bolt is a chord that runs through the center point of the circle.ⓘ Diameter of Bolt [d_bolt]			+10% -10%
✖Diameter of bolt pitch circle is a chord that runs through the center point of the circle.ⓘ Diameter of bolt pitch circle [d_pitch]			+10% -10%

✖Number of Bolts is simply defined as the number of bolts that are under our consideration.ⓘ Number of bolts given torque resisted by n bolts [n]

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Formula

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Number of bolts given torque resisted by n bolts

Formula

`"n" = (8*"T"_{"bolt"})/("f"_{"s"}*pi*("d"_{"bolt"}^2)*"d"_{"pitch"})`

Example

`"9.169421"=(8*"49N*m")/("14N/mm²"*pi*(("9mm")^2)*"12mm")`

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Download Torsion of Shafts And Springs Formula PDF

Number of bolts given torque resisted by n bolts Solution

STEP 0: Pre-Calculation Summary

Formula Used

Number of Bolts = (8*Torque resisted by bolt)/(Shear Stress in Bolt*pi*(Diameter of Bolt^2)*Diameter of bolt pitch circle)
n = (8*T_bolt)/(f_s*pi*(d_bolt^2)*d_pitch)
This formula uses 1 Constants, 5 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Number of Bolts - Number of Bolts is simply defined as the number of bolts that are under our consideration.
Torque resisted by bolt - (Measured in Newton Meter) - 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.
Shear Stress in Bolt - (Measured in Pascal) - Shear Stress in Bolt, force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.
Diameter of Bolt - (Measured in Meter) - The Diameter of Bolt is a chord that runs through the center point of the circle.
Diameter of bolt pitch circle - (Measured in Meter) - Diameter of bolt pitch circle is a chord that runs through the center point of the circle.

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)
Diameter of Bolt: 9 Millimeter --> 0.009 Meter (Check conversion here)
Diameter of bolt pitch circle: 12 Millimeter --> 0.012 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

n = (8*T_bolt)/(f_s*pi*(d_bolt^2)*d_pitch) --> (8*49)/(14000000*pi*(0.009^2)*0.012)

Evaluating ... ...

n = 9.16942058965652

STEP 3: Convert Result to Output's Unit

9.16942058965652 --> No Conversion Required

FINAL ANSWER

9.16942058965652 ≈ 9.169421 <-- Number of Bolts

(Calculation completed in 00.004 seconds)

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< 16 Flanged Coupling Calculators

Diameter of bolt given torque resisted by n bolts

Go Diameter of Bolt = sqrt((8*Torque resisted by bolt)/(Shear Stress in Bolt*pi*Number of Bolts*Diameter of bolt pitch circle))

Diameter of bolt pitch circle given torque resisted by n bolts

Go Diameter of bolt pitch circle = (8*Torque resisted by bolt)/(Shear Stress in Bolt*pi*(Diameter of Bolt^2)*Number of Bolts)

Shear stress in bolt given torque resisted by n bolts

Go Shear Stress in Bolt = (8*Torque resisted by bolt)/(Number of Bolts*pi*(Diameter of Bolt^2)*Diameter of bolt pitch circle)

Number of bolts given torque resisted by n bolts

Go Number of Bolts = (8*Torque resisted by bolt)/(Shear Stress in Bolt*pi*(Diameter of Bolt^2)*Diameter of bolt pitch circle)

Total torque resisted by n number of bolts

Go Torque resisted by bolt = (Number of Bolts*Shear Stress in Bolt*pi*(Diameter of Bolt^2)*Diameter of bolt pitch circle)/8

Diameter of bolt given torque resisted by one bolt

Go Diameter of Bolt = sqrt((8*Torque resisted by bolt)/(Shear Stress in Bolt*pi*Diameter of bolt pitch circle))

Diameter of bolt pitch circle given torque resisted by one bolt

Go Diameter of bolt pitch circle = (8*Torque resisted by bolt)/(Shear Stress in Bolt*pi*(Diameter of Bolt^2))

Shear stress in bolt given torque resisted by one bolt

Go Shear Stress in Bolt = (8*Torque resisted by bolt)/(pi*(Diameter of Bolt^2)*Diameter of bolt pitch circle)

Torque resisted by one bolt given shear stress in bolt

Go Torque resisted by bolt = (Shear Stress in Bolt*pi*(Diameter of Bolt^2)*Diameter of bolt pitch circle)/8

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

Go Diameter of Bolt = sqrt((4*Load resisted by one bolt)/(pi*Shear Stress in Bolt))

Diameter of shaft given torque transmitted by shaft

Go Diameter of Shaft = ((16*Torque transmitted by shaft)/(pi*Shear Stress in Shaft))^(1/3)

Shear stress in shaft given torque transmitted by shaft

Go Shear Stress in Shaft = (16*Torque transmitted by shaft)/(pi*(Diameter of Shaft^3))

Torque transmitted by shaft

Go Torque transmitted by shaft = (pi*Shear Stress in Shaft*(Diameter of Shaft^3))/16

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

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

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

Go Torque resisted by bolt = Load resisted by one bolt*Diameter of bolt pitch circle/2

Number of bolts given torque resisted by n bolts Formula

Number of Bolts = (8*Torque resisted by bolt)/(Shear Stress in Bolt*pi*(Diameter of Bolt^2)*Diameter of bolt pitch circle)
n = (8*T_bolt)/(f_s*pi*(d_bolt^2)*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 Number of bolts given torque resisted by n bolts?

Number of bolts given torque resisted by n bolts calculator uses Number of Bolts = (8*Torque resisted by bolt)/(Shear Stress in Bolt*pi*(Diameter of Bolt^2)*Diameter of bolt pitch circle) to calculate the Number of Bolts, Number of bolts given torque resisted by n bolts is defined as the total count or number of bots in that shaft. Number of Bolts is denoted by n symbol.

How to calculate Number of bolts given torque resisted by n bolts using this online calculator? To use this online calculator 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. Here is how the Number of bolts given torque resisted by n bolts calculation can be explained with given input values -> 9.169421 = (8*49)/(14000000*pi*(0.009^2)*0.012).

FAQ

What is Number of bolts given torque resisted by n bolts?

Number of bolts given torque resisted by n bolts is defined as the total count or number of bots in that shaft and is represented as n = (8*T_bolt)/(f_s*pi*(d_bolt^2)*d_pitch) or Number of Bolts = (8*Torque resisted by bolt)/(Shear Stress in Bolt*pi*(Diameter of Bolt^2)*Diameter of bolt pitch circle). 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, Shear Stress in Bolt, force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress, The Diameter of Bolt is a chord that runs through the center point of the circle & Diameter of bolt pitch circle is a chord that runs through the center point of the circle.

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

Number of bolts given torque resisted by n bolts is defined as the total count or number of bots in that shaft is calculated using Number of Bolts = (8*Torque resisted by bolt)/(Shear Stress in Bolt*pi*(Diameter of Bolt^2)*Diameter of bolt pitch circle). To calculate Number of bolts given torque resisted by n bolts, you need Torque resisted by bolt (T_bolt), Shear Stress in Bolt (f_s), Diameter of Bolt (d_bolt) & 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, Diameter of Bolt & 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.

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