Width of Cotter by Shear Consideration Solution

STEP 0: Pre-Calculation Summary
Formula Used
Mean Width of Cotter = Shear Force on Cotter/(2*Shear Stress in Cotter*Thickness of Cotter)
b = V/(2*τco*tc)
This formula uses 4 Variables
Variables Used
Mean Width of Cotter - (Measured in Meter) - The mean Width of Cotter is defined as the average width of the cotter of a cotter joint.
Shear Force on Cotter - (Measured in Newton) - Shear Force on Cotter can be described as a force acting in a direction that's parallel to (over the top of) a surface or cross-section of a cotter.
Shear Stress in Cotter - (Measured in Pascal) - Shear Stress in Cotter is the amount of stress (cause deformation by slippage along a plane parallel to the imposed stress) generated into the cotter due to the shear force acting on it.
Thickness of Cotter - (Measured in Meter) - Thickness of Cotter is the measure of how much broad is the cotter in direction perpendicular to axial force.
STEP 1: Convert Input(s) to Base Unit
Shear Force on Cotter: 23800 Newton --> 23800 Newton No Conversion Required
Shear Stress in Cotter: 24 Newton per Square Millimeter --> 24000000 Pascal (Check conversion here)
Thickness of Cotter: 14 Millimeter --> 0.014 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
b = V/(2*τco*tc) --> 23800/(2*24000000*0.014)
Evaluating ... ...
b = 0.0354166666666667
STEP 3: Convert Result to Output's Unit
0.0354166666666667 Meter -->35.4166666666667 Millimeter (Check conversion here)
FINAL ANSWER
35.4166666666667 35.41667 Millimeter <-- Mean Width of Cotter
(Calculation completed in 00.004 seconds)

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25 Joint Geometry and Dimensions Calculators

Thickness of Cotter given Tensile Stress in Socket
Go Thickness of Cotter = ((pi/4*(Outside Diameter of Socket^2-Diameter of Spigot^2))-(Load at Cotter Joint)/Tensile Stress In Socket)/(Outside Diameter of Socket-Diameter of Spigot)
Width of Cotter by Bending Consideration
Go Mean Width of Cotter = (3*Load on Cotter Joint/(Thickness of Cotter*Bending Stress in Cotter)*(Diameter of Spigot/4+(Diameter of Socket Collar-Diameter of Spigot)/6))^0.5
Thickness of Cotter Joint given Bending Stress in Cotter
Go Thickness of Cotter = (2*Diameter of Socket Collar+Diameter of Spigot)*((Load on Cotter Joint)/(4*Mean Width of Cotter^2*Bending Stress in Cotter))
Diameter of Socket Collar of Cotter Joint given Bending Stress in Cotter
Go Diameter of Socket Collar = (4*Mean Width of Cotter^2*Bending Stress in Cotter*(Thickness of Cotter)/Load on Cotter Joint-Diameter of Spigot)/2
Diameter of Spigot of Cotter Joint given Bending Stress in Cotter
Go Diameter of Spigot = 4*Mean Width of Cotter^2*Bending Stress in Cotter*(Thickness of Cotter)/Load on Cotter Joint-2*Diameter of Socket Collar
Inside Diameter of Socket of Cotter Joint given Shear Stress in Socket
Go Diameter of Spigot = Diameter of Socket Collar-(Load on Cotter Joint)/(2*Axial Distance From Slot to End of Socket Collar*Shear Stress in Socket)
Diameter of socket collar of cotter joint given shear stress in socket
Go Diameter of Socket Collar = (Load on Cotter Joint)/(2*Axial Distance From Slot to End of Socket Collar*Shear Stress in Socket)+Diameter of Spigot
Thickness of Cotter given Compressive Stress in Socket
Go Thickness of Cotter = (Load on Cotter Joint)/((Diameter of Socket Collar-Diameter of Spigot)*Compressive Stress In Socket)
Diameter of Socket Collar of Cotter Joint given Compressive Stress
Go Diameter of Socket Collar = Diameter of Spigot+(Load on Cotter Joint)/(Thickness of Cotter*Compressive Stress in Spigot)
Diameter of Spigot of Cotter Joint given Compressive Stress
Go Diameter of Spigot = Diameter of Socket Collar-(Load on Cotter Joint)/(Thickness of Cotter*Compressive Stress in Spigot)
Minimum Rod Diameter in Cotter Joint given Axial Tensile Force and Stress
Go Diameter of Rod of Cotter Joint = sqrt((4*Load on Cotter Joint)/(Tensile Stress in Cotter Joint Rod*pi))
Cross Section Area of Spigot of Cotter Joint Prone to Failure
Go Cross Sectional Area of Spigot = (pi*Diameter of Spigot^2)/4-Diameter of Spigot*Thickness of Cotter
Diameter of Spigot of Cotter Joint given Shear Stress in Spigot
Go Diameter of Spigot = (Load on Cotter Joint)/(2*Gap between End of Slot to End of Spigot*Shear Stress in Spigot)
Minimum Diameter of Spigot in Cotter Joint Subjected to Crushing Stress
Go Diameter of Spigot = Load on Cotter Joint/(Crushing Stress induced in Cotter*Thickness of Cotter)
Thickness of Cotter given Compressive Stress in Spigot
Go Thickness of Cotter = (Load on Cotter Joint)/(Compressive Stress in Spigot*Diameter of Spigot)
Thickness of Cotter given Shear Stress in Cotter
Go Thickness of Cotter = (Load on Cotter Joint)/(2*Shear Stress in Cotter*Mean Width of Cotter)
Width of Cotter by Shear Consideration
Go Mean Width of Cotter = Shear Force on Cotter/(2*Shear Stress in Cotter*Thickness of Cotter)
Diameter of Rod of Cotter Joint given Thickness of Spigot Collar
Go Diameter of Rod of Cotter Joint = Thickness of Spigot Collar/(0.45)
Thickness of Spigot Collar when Rod Diameter is Available
Go Thickness of Spigot Collar = 0.45*Diameter of Rod of Cotter Joint
Diameter of Rod of Cotter Joint given Spigot Collar Diameter
Go Diameter of Rod of Cotter Joint = Diameter of Spigot Collar/1.5
Diameter of Rod of Cotter Joint given Socket Collar Diameter
Go Diameter of Rod of Cotter Joint = Diameter of Socket Collar/2.4
Diameter of Spigot Collar given Rod Diameter
Go Diameter of Spigot Collar = 1.5*Diameter of Rod of Cotter Joint
Diameter of Socket Collar given Rod Diameter
Go Diameter of Socket Collar = 2.4*Diameter of Rod of Cotter Joint
Diameter of Rod of Cotter Joint given Thickness of Cotter
Go Diameter of Rod of Cotter Joint = Thickness of Cotter/(0.31)
Thickness of Cotter Joint
Go Thickness of Cotter = 0.31*Diameter of Rod of Cotter Joint

Width of Cotter by Shear Consideration Formula

Mean Width of Cotter = Shear Force on Cotter/(2*Shear Stress in Cotter*Thickness of Cotter)
b = V/(2*τco*tc)

What is a cotter joint?

A cotter joint, also known as a socket and spigot joint, is a method of temporarily joining two coaxial rods. One rod is fitted with a spigot, which fits inside a socket on one end of the other rod. Cotter joints are used to support axial loads between the two rods, tensile or compressive.

What is shear failure?

Shear failure can be defined as a failure that takes place due to insufficiency of shear resistance available inside a material.

How to Calculate Width of Cotter by Shear Consideration?

Width of Cotter by Shear Consideration calculator uses Mean Width of Cotter = Shear Force on Cotter/(2*Shear Stress in Cotter*Thickness of Cotter) to calculate the Mean Width of Cotter, The Width of cotter by shear consideration is the mean width of cotter of a cotter joint considering shearing failure of the cotter. Mean Width of Cotter is denoted by b symbol.

How to calculate Width of Cotter by Shear Consideration using this online calculator? To use this online calculator for Width of Cotter by Shear Consideration, enter Shear Force on Cotter (V), Shear Stress in Cotter co) & Thickness of Cotter (tc) and hit the calculate button. Here is how the Width of Cotter by Shear Consideration calculation can be explained with given input values -> 38141.03 = 23800/(2*24000000*0.014).

FAQ

What is Width of Cotter by Shear Consideration?
The Width of cotter by shear consideration is the mean width of cotter of a cotter joint considering shearing failure of the cotter and is represented as b = V/(2*τco*tc) or Mean Width of Cotter = Shear Force on Cotter/(2*Shear Stress in Cotter*Thickness of Cotter). Shear Force on Cotter can be described as a force acting in a direction that's parallel to (over the top of) a surface or cross-section of a cotter, Shear Stress in Cotter is the amount of stress (cause deformation by slippage along a plane parallel to the imposed stress) generated into the cotter due to the shear force acting on it & Thickness of Cotter is the measure of how much broad is the cotter in direction perpendicular to axial force.
How to calculate Width of Cotter by Shear Consideration?
The Width of cotter by shear consideration is the mean width of cotter of a cotter joint considering shearing failure of the cotter is calculated using Mean Width of Cotter = Shear Force on Cotter/(2*Shear Stress in Cotter*Thickness of Cotter). To calculate Width of Cotter by Shear Consideration, you need Shear Force on Cotter (V), Shear Stress in Cotter co) & Thickness of Cotter (tc). With our tool, you need to enter the respective value for Shear Force on Cotter, Shear Stress in Cotter & Thickness of Cotter 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 Mean Width of Cotter?
In this formula, Mean Width of Cotter uses Shear Force on Cotter, Shear Stress in Cotter & Thickness of Cotter. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Mean Width of Cotter = (3*Load on Cotter Joint/(Thickness of Cotter*Bending Stress in Cotter)*(Diameter of Spigot/4+(Diameter of Socket Collar-Diameter of Spigot)/6))^0.5
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