Inside Diameter of Socket of Cotter Joint given Shear Stress in Socket Calculator

✖Diameter of socket collar is the external diameter of collar of the socket of a cotter joint.ⓘ Diameter of Socket Collar [d₄]			+10% -10%
✖Load on cotter joint is basically the amount of load/force any part or joint, can bear or is acted upon or exerts.ⓘ Load on Cotter Joint [L]			+10% -10%
✖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.ⓘ Axial Distance From Slot to End of Socket Collar [c]			+10% -10%
✖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.ⓘ Shear Stress in Socket [τ_so]			+10% -10%

✖The diameter of Spigot is defined as the diameter of the external surface of the spigot or the inner diameter of the socket.ⓘ Inside Diameter of Socket of Cotter Joint given Shear Stress in Socket [d₂]

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Inside Diameter of Socket of Cotter Joint given Shear Stress in Socket Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
d₂ = d₄-(L)/(2*c*τ_so)
This formula uses 5 Variables

Variables Used

Diameter of Spigot - (Measured in Meter) - The diameter of Spigot is defined as the diameter of the external surface of the spigot or the inner diameter of the socket.
Diameter of Socket Collar - (Measured in Meter) - Diameter of socket collar is the external diameter of collar of the socket of a cotter joint.
Load on Cotter Joint - (Measured in Newton) - Load on cotter joint is basically the amount of load/force any part or joint, can bear or is acted upon or exerts.
Axial Distance From Slot to End of Socket Collar - (Measured in Meter) - 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 - (Measured in Pascal) - 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.

STEP 1: Convert Input(s) to Base Unit

Diameter of Socket Collar: 80 Millimeter --> 0.08 Meter (Check conversion here)
Load on Cotter Joint: 50000 Newton --> 50000 Newton No Conversion Required
Axial Distance From Slot to End of Socket Collar: 25 Millimeter --> 0.025 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

d₂ = d₄-(L)/(2*c*τ_so) --> 0.08-(50000)/(2*0.025*25000000)

Evaluating ... ...

d₂ = 0.04

STEP 3: Convert Result to Output's Unit

0.04 Meter -->40 Millimeter (Check conversion here)

FINAL ANSWER

40 Millimeter <-- Diameter of Spigot

(Calculation completed in 00.014 seconds)

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Home » Physics » Design of Machine Elements » Design of Coupling » Design of Cotter Joint » Mechanical » Joint Geometry and Dimensions » Inside Diameter of Socket of Cotter Joint given Shear Stress in Socket

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Shri Govindram Seksaria Institute of Technology and Science (SGSITS ), Indore

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< Joint Geometry and Dimensions Calculators

Diameter of Spigot of Cotter Joint given Compressive Stress

LaTeX Go Diameter of Spigot = Diameter of Socket Collar-(Load on Cotter Joint)/(Thickness of Cotter*Compressive Stress in Spigot)

Diameter of Spigot of Cotter Joint given Shear Stress in Spigot

LaTeX 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

LaTeX Go Diameter of Spigot = Load on Cotter Joint/(Crushing Stress induced in Cotter*Thickness of Cotter)

Diameter of Spigot Collar given Rod Diameter

LaTeX Go Diameter of Spigot Collar = 1.5*Diameter of Rod of Cotter Joint

Inside Diameter of Socket of Cotter Joint given Shear Stress in Socket Formula

LaTeX 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)
d₂ = d₄-(L)/(2*c*τ_so)

Why is the cotter given a taper?

Generally, the value of taper on cotter is 1 in 48 to 1 in 24 and it provides mainly two benefits: First, this tapper is easy to remove and makes disassembling of joint a simple process. Second, the tapper also ensures the tightness of the joints and prevents the parts from loosening.

How to Calculate Inside Diameter of Socket of Cotter Joint given Shear Stress in Socket?

Inside Diameter of Socket of Cotter Joint given Shear Stress in Socket calculator uses 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) to calculate the Diameter of Spigot, Inside diameter of socket of cotter joint given shear stress in socket ia the diameter of the internal surface of the socket of a cotter joint which is in direct contact with the spigot's outer surface. Diameter of Spigot is denoted by d₂ symbol.

How to calculate Inside Diameter of Socket of Cotter Joint given Shear Stress in Socket using this online calculator? To use this online calculator for Inside Diameter of Socket of Cotter Joint given Shear Stress in Socket, enter Diameter of Socket Collar (d₄), Load on Cotter Joint (L), Axial Distance From Slot to End of Socket Collar (c) & Shear Stress in Socket (τ_so) and hit the calculate button. Here is how the Inside Diameter of Socket of Cotter Joint given Shear Stress in Socket calculation can be explained with given input values -> 34545.45 = 0.08-(50000)/(2*0.025*25000000).

FAQ

What is Inside Diameter of Socket of Cotter Joint given Shear Stress in Socket?

Inside diameter of socket of cotter joint given shear stress in socket ia the diameter of the internal surface of the socket of a cotter joint which is in direct contact with the spigot's outer surface and is represented as d₂ = d₄-(L)/(2*c*τ_so) or 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 is the external diameter of collar of the socket of a cotter joint, Load on cotter joint is basically the amount of load/force any part or joint, can bear or is acted upon or exerts, 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 Inside Diameter of Socket of Cotter Joint given Shear Stress in Socket?

Inside diameter of socket of cotter joint given shear stress in socket ia the diameter of the internal surface of the socket of a cotter joint which is in direct contact with the spigot's outer surface is calculated using 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). To calculate Inside Diameter of Socket of Cotter Joint given Shear Stress in Socket, you need Diameter of Socket Collar (d₄), Load on Cotter Joint (L), Axial Distance From Slot to End of Socket Collar (c) & Shear Stress in Socket (τ_so). With our tool, you need to enter the respective value for Diameter of Socket Collar, Load on Cotter Joint, 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 Diameter of Spigot?

In this formula, Diameter of Spigot uses Diameter of Socket Collar, Load on Cotter Joint, Axial Distance From Slot to End of Socket Collar & Shear Stress in Socket. We can use 3 other way(s) to calculate the same, which is/are as follows -

Diameter of Spigot = Load on Cotter Joint/(Crushing Stress induced in Cotter*Thickness of Cotter)
Diameter of Spigot = (Load on Cotter Joint)/(2*Gap between End of Slot to End of Spigot*Shear Stress in Spigot)
Diameter of Spigot = Diameter of Socket Collar-(Load on Cotter Joint)/(Thickness of Cotter*Compressive Stress in Spigot)

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