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Load taken by socket of cotter joint given shear stress in socket Solution

STEP 0: Pre-Calculation Summary
Formula Used
Load = 2*(Diameter of Socket Collar-Diameter of Spigot)*Axial Distance From Slot to End of Socket Collar*(Shear Stress in Socket)
L = 2*(d4-d2)*c*(τ)
This formula uses 4 Variables
Variables Used
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)
Shear Stress in Socket - Shear Stress in Socket 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
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)
Shear Stress in Socket: 25 Newton per Square Millimeter --> 25000000 Pascal (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
L = 2*(d4-d2)*c*(τ) --> 2*(0.1-0.045)*0.012*(25000000)
Evaluating ... ...
L = 33000
STEP 3: Convert Result to Output's Unit
33000 Newton --> No Conversion Required
FINAL ANSWER
33000 Newton <-- Load
(Calculation completed in 00.029 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

Load taken by socket of cotter joint given shear stress in socket Formula

Load = 2*(Diameter of Socket Collar-Diameter of Spigot)*Axial Distance From Slot to End of Socket Collar*(Shear Stress in Socket)
L = 2*(d4-d2)*c*(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 Load taken by socket of cotter joint given shear stress in socket?

Load taken by socket of cotter joint given shear stress in socket calculator uses Load = 2*(Diameter of Socket Collar-Diameter of Spigot)*Axial Distance From Slot to End of Socket Collar*(Shear Stress in Socket) to calculate the Load, Load taken by socket of cotter joint given shear stress in socket is the amount of shearing force beared by the socket of the cotter joint at particular shear stress generated in it. Load is denoted by L symbol.

How to calculate Load taken by socket of cotter joint given shear stress in socket using this online calculator? To use this online calculator for Load taken by socket of cotter joint given shear stress in socket, enter Diameter of Socket Collar (d4), Diameter of Spigot (d2), Axial Distance From Slot to End of Socket Collar (c) & Shear Stress in Socket (τ) and hit the calculate button. Here is how the Load taken by socket of cotter joint given shear stress in socket calculation can be explained with given input values -> 33000 = 2*(0.1-0.045)*0.012*(25000000).

FAQ

What is Load taken by socket of cotter joint given shear stress in socket?
Load taken by socket of cotter joint given shear stress in socket is the amount of shearing force beared by the socket of the cotter joint at particular shear stress generated in it and is represented as L = 2*(d4-d2)*c*(τ) or Load = 2*(Diameter of Socket Collar-Diameter of Spigot)*Axial Distance From Slot to End of Socket Collar*(Shear Stress in Socket). 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 & Shear Stress in Socket 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 Load taken by socket of cotter joint given shear stress in socket?
Load taken by socket of cotter joint given shear stress in socket is the amount of shearing force beared by the socket of the cotter joint at particular shear stress generated in it is calculated using Load = 2*(Diameter of Socket Collar-Diameter of Spigot)*Axial Distance From Slot to End of Socket Collar*(Shear Stress in Socket). To calculate Load taken by socket of cotter joint given shear stress in socket, you need Diameter of Socket Collar (d4), Diameter of Spigot (d2), Axial Distance From Slot to End of Socket Collar (c) & Shear Stress in Socket (τ). With our tool, you need to enter the respective value for Diameter of Socket Collar, Diameter of Spigot, Axial Distance From Slot to End of Socket Collar & Shear Stress in Socket 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 Load?
In this formula, Load uses Diameter of Socket Collar, Diameter of Spigot, Axial Distance From Slot to End of Socket Collar & Shear Stress in Socket. We can use 7 other way(s) to calculate the same, which is/are as follows -
  • Load = (((pi/4)*(Diameter of Spigot)^2)-(Diameter of Spigot*Thickness of cotter))*Permissible tensile stress
  • Load = (pi*(Diameter of rod^2)*Tensile Stress In Rod)/4
  • Load = (Tensile Stress In Socket)*((pi/4)*(Outside Diameter of Socket^2-Diameter of Spigot^2)-Thickness of cotter*(Outside Diameter of Socket-Diameter of Spigot))
  • Load = (2*(Thickness of cotter)*Mean Width of Cotter*(Shear Stress in Cotter))
  • Load = (2*(Gap between End of Slot to End of Spigot)*Diameter of Spigot*(Shear Stress in Spigot))
  • Load = (Compressive Stress In Socket)*(Diameter of Socket Collar-Diameter of Spigot)*Thickness of cotter
  • Load = (Thickness of cotter*Diameter of Spigot*(Compressive Stress In Spigot))
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