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Diameter of spigot of cotter joint given shear stress in spigot Solution

STEP 0: Pre-Calculation Summary
Formula Used
Diameter of Spigot = (Load)/(2*(Gap between End of Slot to End of Spigot)*Shear Stress in Spigot)
d2 = (L)/(2*(a)*τ)
This formula uses 3 Variables
Variables Used
Load - Load is basically the amount of load/force any material, product, joint, can bear or is acted upon or exerts. (Measured in Newton)
Gap between End of Slot to End of Spigot - Gap between End of Slot to End of Spigot is the distance between the end of slot for cotter to the end of spigot opposite from its collar. (Measured in Millimeter)
Shear Stress in Spigot - Shear Stress in Spigot is the amount of stress (cause deformation by slippage along a plane parallel to the imposed stress) generated into the socket due to the shear force acting on it. (Measured in Newton per Square Millimeter)
STEP 1: Convert Input(s) to Base Unit
Load: 5250 Newton --> 5250 Newton No Conversion Required
Gap between End of Slot to End of Spigot: 8 Millimeter --> 0.008 Meter (Check conversion here)
Shear Stress in Spigot: 14 Newton per Square Millimeter --> 14000000 Pascal (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
d2 = (L)/(2*(a)*τ) --> (5250)/(2*(0.008)*14000000)
Evaluating ... ...
d2 = 0.0234375
STEP 3: Convert Result to Output's Unit
0.0234375 Meter -->23.4375 Millimeter (Check conversion here)
FINAL ANSWER
23.4375 Millimeter <-- Diameter of Spigot
(Calculation completed in 00.015 seconds)

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Width of cotter by bending consideration
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Minimum Diameter of spigot in cotter joint subjected to crushing stress
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Width of cotter by shear consideration
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Load taken by cotter joint rod given tensile stress in rod
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Tensile stress in rod of cotter joint
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Thickness of spigot collar when rod diameter is available
Thickness of Spigot Collar = 0.45*Diameter of rod Go
Diameter of spigot collar given rod diameter
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Diameter of socket collar given rod diameter
Diameter of Socket Collar = 2.4*Diameter of rod Go

Diameter of spigot of cotter joint given shear stress in spigot Formula

Diameter of Spigot = (Load)/(2*(Gap between End of Slot to End of Spigot)*Shear Stress in Spigot)
d2 = (L)/(2*(a)*τ)

Loads supported by a cotter joint.

Cotter joints are used to support axial loads between the two rods, tensile or compressive. Although a cotter joint will resist the rotation of one rod relative to the other, it should not be used to join rotating shafts. This is because the cotter will not be balanced and may work loose under the combination of vibration and centrifugal force.

How to Calculate Diameter of spigot of cotter joint given shear stress in spigot?

Diameter of spigot of cotter joint given shear stress in spigot calculator uses Diameter of Spigot = (Load)/(2*(Gap between End of Slot to End of Spigot)*Shear Stress in Spigot) to calculate the Diameter of Spigot, Diameter of spigot of cotter joint given shear stress in spigot is the required diameter of the spigot of the cotter joint when a shearing force acts onto the spigot. Diameter of Spigot is denoted by d2 symbol.

How to calculate Diameter of spigot of cotter joint given shear stress in spigot using this online calculator? To use this online calculator for Diameter of spigot of cotter joint given shear stress in spigot, enter Load (L), Gap between End of Slot to End of Spigot (a) & Shear Stress in Spigot (τ) and hit the calculate button. Here is how the Diameter of spigot of cotter joint given shear stress in spigot calculation can be explained with given input values -> 23.4375 = (5250)/(2*(0.008)*14000000).

FAQ

What is Diameter of spigot of cotter joint given shear stress in spigot?
Diameter of spigot of cotter joint given shear stress in spigot is the required diameter of the spigot of the cotter joint when a shearing force acts onto the spigot and is represented as d2 = (L)/(2*(a)*τ) or Diameter of Spigot = (Load)/(2*(Gap between End of Slot to End of Spigot)*Shear Stress in Spigot). Load is basically the amount of load/force any material, product, joint, can bear or is acted upon or exerts, Gap between End of Slot to End of Spigot is the distance between the end of slot for cotter to the end of spigot opposite from its collar & Shear Stress in Spigot is the amount of stress (cause deformation by slippage along a plane parallel to the imposed stress) generated into the socket due to the shear force acting on it.
How to calculate Diameter of spigot of cotter joint given shear stress in spigot?
Diameter of spigot of cotter joint given shear stress in spigot is the required diameter of the spigot of the cotter joint when a shearing force acts onto the spigot is calculated using Diameter of Spigot = (Load)/(2*(Gap between End of Slot to End of Spigot)*Shear Stress in Spigot). To calculate Diameter of spigot of cotter joint given shear stress in spigot, you need Load (L), Gap between End of Slot to End of Spigot (a) & Shear Stress in Spigot (τ). With our tool, you need to enter the respective value for Load, Gap between End of Slot to End of Spigot & Shear Stress in Spigot 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 Spigot?
In this formula, Diameter of Spigot uses Load, Gap between End of Slot to End of Spigot & Shear Stress in Spigot. We can use 4 other way(s) to calculate the same, which is/are as follows -
  • Diameter of Spigot = Axial tensile or compressive force/(Crushing stress induced in cotter*Thickness of cotter)
  • Diameter of Spigot = (Diameter of Socket Collar)-((Load)/(2*Axial Distance From Slot to End of Socket Collar*Shear Stress in Socket))
  • Diameter of Spigot = (Diameter of Socket Collar)-((Load)/(Thickness of cotter*Compressive Stress In Spigot))
  • Diameter of Spigot = (4*(Mean Width of Cotter^2)*Bending Stress in Cotter*(Thickness of cotter)/Load)-(2*Diameter of Socket Collar)
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