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Shear stress in socket of cotter joint given inner and outer diameter of socket Solution

STEP 0: Pre-Calculation Summary
Formula Used
Shear Stress in Socket = (Load)/(2*(Diameter of Socket Collar-Diameter of Spigot)*Axial Distance From Slot to End of Socket Collar)
τ = (L)/(2*(d4-d2)*c)
This formula uses 4 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)
Diameter of Socket Collar - Diameter of socket collar is the external diameter of collar of the socket of a cotter joint. (Measured in Millimeter)
Diameter of Spigot - The diameter of Spigot is defined as the diameter of the external surface of the spigot or the inner diameter of the socket. (Measured in Millimeter)
Axial Distance From Slot to End of Socket Collar - Axial Distance From Slot to End of Socket Collar is the distance between the slot for cotter to the end of socket collar measured along the socket axis. (Measured in Millimeter)
STEP 1: Convert Input(s) to Base Unit
Load: 5250 Newton --> 5250 Newton No Conversion Required
Diameter of Socket Collar: 100 Millimeter --> 0.1 Meter (Check conversion here)
Diameter of Spigot: 45 Millimeter --> 0.045 Meter (Check conversion here)
Axial Distance From Slot to End of Socket Collar: 12 Millimeter --> 0.012 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
τ = (L)/(2*(d4-d2)*c) --> (5250)/(2*(0.1-0.045)*0.012)
Evaluating ... ...
τ = 3977272.72727273
STEP 3: Convert Result to Output's Unit
3977272.72727273 Pascal -->3.97727272727273 Newton per Square Millimeter (Check conversion here)
FINAL ANSWER
3.97727272727273 Newton per Square Millimeter <-- Shear Stress in Socket
(Calculation completed in 00.016 seconds)

10+ Design of Cotter Joint Calculators

Width of cotter by bending consideration
Mean Width of Cotter = (((3*Load/(Thickness of cotter*Bending Stress in Cotter))*((Diameter of Spigot/4)+((Diameter of Socket Collar-Diameter of Spigot)/6))))^0.5 Go
Maximum load taken by cotter joint given spigot diameter, thickness and stress
Load = (((pi/4)*(Diameter of Spigot)^2)-(Diameter of Spigot*Thickness of cotter))*Permissible tensile stress Go
Minimum Rod diameter in cotter joint given axial tensile force and stress
Diameter of rod = sqrt((4*Axial tensile or compressive force)/(Permissible tensile stress*pi)) Go
Minimum Diameter of spigot in cotter joint subjected to crushing stress
Diameter of Spigot = Axial tensile or compressive force/(Crushing stress induced in cotter*Thickness of cotter) Go
Width of cotter by shear consideration
Mean Width of Cotter = Shear Force on Section/(2*Allowable shear stress*Thickness of cotter) Go
Load taken by cotter joint rod given tensile stress in rod
Load = (pi*(Diameter of rod^2)*Tensile Stress In Rod)/4 Go
Tensile stress in rod of cotter joint
Tensile Stress In Rod = (4*Load)/(pi*Diameter of rod^2) Go
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
Diameter of Spigot Collar = 1.5*Diameter of rod Go
Diameter of socket collar given rod diameter
Diameter of Socket Collar = 2.4*Diameter of rod Go

Shear stress in socket of cotter joint given inner and outer diameter of socket Formula

Shear Stress in Socket = (Load)/(2*(Diameter of Socket Collar-Diameter of Spigot)*Axial Distance From Slot to End of Socket Collar)
τ = (L)/(2*(d4-d2)*c)

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 Shear stress in socket of cotter joint given inner and outer diameter of socket?

Shear stress in socket of cotter joint given inner and outer diameter of socket calculator uses Shear Stress in Socket = (Load)/(2*(Diameter of Socket Collar-Diameter of Spigot)*Axial Distance From Slot to End of Socket Collar) to calculate the Shear Stress in Socket, Shear stress in socket of cotter joint given inner and outer diameter of socket is the amount of shear stress in the socket of the cotter joint due to the shearing force trying to break or fracture the socket in a plane parallel to cotter joint's axis. Shear Stress in Socket is denoted by τ symbol.

How to calculate Shear stress in socket of cotter joint given inner and outer diameter of socket using this online calculator? To use this online calculator for Shear stress in socket of cotter joint given inner and outer diameter of socket, enter Load (L), Diameter of Socket Collar (d4), Diameter of Spigot (d2) & Axial Distance From Slot to End of Socket Collar (c) and hit the calculate button. Here is how the Shear stress in socket of cotter joint given inner and outer diameter of socket calculation can be explained with given input values -> 3.977273 = (5250)/(2*(0.1-0.045)*0.012).

FAQ

What is Shear stress in socket of cotter joint given inner and outer diameter of socket?
Shear stress in socket of cotter joint given inner and outer diameter of socket is the amount of shear stress in the socket of the cotter joint due to the shearing force trying to break or fracture the socket in a plane parallel to cotter joint's axis and is represented as τ = (L)/(2*(d4-d2)*c) or Shear Stress in Socket = (Load)/(2*(Diameter of Socket Collar-Diameter of Spigot)*Axial Distance From Slot to End of Socket Collar). Load is basically the amount of load/force any material, product, joint, can bear or is acted upon or exerts, Diameter of socket collar is the external diameter of collar of the socket of a cotter joint, The diameter of Spigot is defined as the diameter of the external surface of the spigot or the inner diameter of the socket & Axial Distance From Slot to End of Socket Collar is the distance between the slot for cotter to the end of socket collar measured along the socket axis.
How to calculate Shear stress in socket of cotter joint given inner and outer diameter of socket?
Shear stress in socket of cotter joint given inner and outer diameter of socket is the amount of shear stress in the socket of the cotter joint due to the shearing force trying to break or fracture the socket in a plane parallel to cotter joint's axis is calculated using Shear Stress in Socket = (Load)/(2*(Diameter of Socket Collar-Diameter of Spigot)*Axial Distance From Slot to End of Socket Collar). To calculate Shear stress in socket of cotter joint given inner and outer diameter of socket, you need Load (L), Diameter of Socket Collar (d4), Diameter of Spigot (d2) & Axial Distance From Slot to End of Socket Collar (c). With our tool, you need to enter the respective value for Load, Diameter of Socket Collar, Diameter of Spigot & Axial Distance From Slot to End of Socket Collar 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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