Shear stress in bolt given torque resisted by one bolt 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%
✖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%

✖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 given torque resisted by one bolt [f_s]

⎘ Copy

👎

Formula

✖

Shear stress in bolt given torque resisted by one bolt

Formula

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

Example

`"128.3719N/mm²"=(8*"49N*m")/(pi*(("9mm")^2)*"12mm")`

Calculator

LaTeX

Reset

👍

Download Torsion of Shafts And Springs Formula PDF PDF Image

Shear stress in bolt given torque resisted by one bolt Solution

STEP 0: Pre-Calculation Summary

Formula Used

Shear Stress in Bolt = (8*Torque resisted by bolt)/(pi*(Diameter of Bolt^2)*Diameter of bolt pitch circle)
f_s = (8*T_bolt)/(pi*(d_bolt^2)*d_pitch)
This formula uses 1 Constants, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
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.
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
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

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

Evaluating ... ...

f_s = 128371888.255191

STEP 3: Convert Result to Output's Unit

128371888.255191 Pascal -->128.371888255191 Newton per Square Millimeter (Check conversion here)

FINAL ANSWER

128.371888255191 ≈ 128.3719 Newton per Square Millimeter <-- Shear Stress in Bolt

(Calculation completed in 00.004 seconds)

You are here -

Home » Physics » Strength of Materials » Torsion of Shafts And Springs » Flanged Coupling » Shear stress in bolt given torque resisted by one bolt

Credits

Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has created this Calculator and 2000+ more calculators!

Verified by Payal Priya

Birsa Institute of Technology (BIT), Sindri

Payal Priya has verified this Calculator and 1900+ more calculators!

< 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

Shear stress in bolt given torque resisted by one bolt Formula

Shear Stress in Bolt = (8*Torque resisted by bolt)/(pi*(Diameter of Bolt^2)*Diameter of bolt pitch circle)
f_s = (8*T_bolt)/(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 Shear stress in bolt given torque resisted by one bolt?

Shear stress in bolt given torque resisted by one bolt calculator uses Shear Stress in Bolt = (8*Torque resisted by bolt)/(pi*(Diameter of Bolt^2)*Diameter of bolt pitch circle) to calculate the Shear Stress in Bolt, Shear stress in bolt given torque resisted by one bolt is defined as a force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress. Shear Stress in Bolt is denoted by f_s symbol.

How to calculate Shear stress in bolt given torque resisted by one bolt using this online calculator? To use this online calculator for Shear stress in bolt given torque resisted by one bolt, enter Torque resisted by bolt (T_bolt), Diameter of Bolt (d_bolt) & Diameter of bolt pitch circle (d_pitch) and hit the calculate button. Here is how the Shear stress in bolt given torque resisted by one bolt calculation can be explained with given input values -> 0.000128 = (8*49)/(pi*(0.009^2)*0.012).

FAQ

What is Shear stress in bolt given torque resisted by one bolt?

Shear stress in bolt given torque resisted by one bolt is defined as a force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress and is represented as f_s = (8*T_bolt)/(pi*(d_bolt^2)*d_pitch) or Shear Stress in Bolt = (8*Torque resisted by 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, 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 Shear stress in bolt given torque resisted by one bolt?

Shear stress in bolt given torque resisted by one bolt is defined as a force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress is calculated using Shear Stress in Bolt = (8*Torque resisted by bolt)/(pi*(Diameter of Bolt^2)*Diameter of bolt pitch circle). To calculate Shear stress in bolt given torque resisted by one bolt, you need Torque resisted by bolt (T_bolt), 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, 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.

How many ways are there to calculate Shear Stress in Bolt?

In this formula, Shear Stress in Bolt uses Torque resisted by bolt, Diameter of Bolt & Diameter of bolt pitch circle. We can use 2 other way(s) to calculate the same, which is/are as follows -

Shear Stress in Bolt = (4*Load resisted by one bolt)/(pi*(Diameter of Bolt^2))
Shear Stress in Bolt = (8*Torque resisted by bolt)/(Number of Bolts*pi*(Diameter of Bolt^2)*Diameter of bolt pitch circle)

Home

FREE PDFs

🔍 Search