Diameter of Socket Collar of Cotter Joint given Bending Stress in Cotter Calculator

✖The mean Width of Cotter is defined as the average width of the cotter of a cotter joint.ⓘ Mean Width of Cotter [b]			+10% -10%
✖Bending Stress in Cotter is defined as the stress that is induced in the cotter subjected to loads that cause it to bend.ⓘ Bending Stress in Cotter [σ_b]			+10% -10%
✖Thickness of Cotter is the measure of how much broad is the cotter in direction perpendicular to axial force.ⓘ Thickness of Cotter [t_c]			+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%
✖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 Spigot [d₂]			+10% -10%

✖Diameter of socket collar is the external diameter of collar of the socket of a cotter joint.ⓘ Diameter of Socket Collar of Cotter Joint given Bending Stress in Cotter [d₄]

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Diameter of Socket Collar of Cotter Joint given Bending Stress in Cotter Solution

STEP 0: Pre-Calculation Summary

Formula Used

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
d₄ = (4*b^2*σ_b*(t_c)/L-d₂)/2
This formula uses 6 Variables

Variables Used

Diameter of Socket Collar - (Measured in Meter) - Diameter of socket collar is the external diameter of collar of the socket of a cotter joint.
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.
Bending Stress in Cotter - (Measured in Pascal) - Bending Stress in Cotter is defined as the stress that is induced in the cotter subjected to loads that cause it to bend.
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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Mean Width of Cotter: 48.5 Millimeter --> 0.0485 Meter (Check conversion here)
Bending Stress in Cotter: 98 Newton per Square Millimeter --> 98000000 Pascal (Check conversion here)
Thickness of Cotter: 21.478 Millimeter --> 0.021478 Meter (Check conversion here)
Load on Cotter Joint: 50000 Newton --> 50000 Newton No Conversion Required
Diameter of Spigot: 40 Millimeter --> 0.04 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d₄ = (4*b^2*σ_b*(t_c)/L-d₂)/2 --> (4*0.0485^2*98000000*(0.021478)/50000-0.04)/2

Evaluating ... ...

d₄ = 0.17804477196

STEP 3: Convert Result to Output's Unit

0.17804477196 Meter -->178.04477196 Millimeter (Check conversion here)

FINAL ANSWER

178.04477196 ≈ 178.0448 Millimeter <-- Diameter of Socket Collar

(Calculation completed in 00.009 seconds)

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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

Diameter of Socket Collar of Cotter Joint given Bending Stress in Cotter Formula

LaTeX 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
d₄ = (4*b^2*σ_b*(t_c)/L-d₂)/2

Socket and Spigot Cotter Joint

A cotter joint knows as a socket and spigot joint, is a method of temporarily joining two coaxial rods, one end of the rod provided with a socket type and the other end of the other rod inserted into the socket. The end of the rod goes into a socket also called a spigot.
A rectangular hole is built into the socket and spigot. A cotter is tightly operating through a hole to make a temporary connection between the two rods. The load is usually acting axially, but it changes its direction. And so, the cotter joint should design to carry both tensile and compressive loads. Compressive load taking by the caller on the spigot.

How to Calculate Diameter of Socket Collar of Cotter Joint given Bending Stress in Cotter?

Diameter of Socket Collar of Cotter Joint given Bending Stress in Cotter calculator uses 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 to calculate the Diameter of Socket Collar, Diameter of socket collar of cotter joint given bending stress in cotter is the required diameter of the collar of the socket of a cotter joint when a bending force acts onto the socket. Diameter of Socket Collar is denoted by d₄ symbol.

How to calculate Diameter of Socket Collar of Cotter Joint given Bending Stress in Cotter using this online calculator? To use this online calculator for Diameter of Socket Collar of Cotter Joint given Bending Stress in Cotter, enter Mean Width of Cotter (b), Bending Stress in Cotter (σ_b), Thickness of Cotter (t_c), Load on Cotter Joint (L) & Diameter of Spigot (d₂) and hit the calculate button. Here is how the Diameter of Socket Collar of Cotter Joint given Bending Stress in Cotter calculation can be explained with given input values -> 130299.4 = (4*0.0485^2*98000000*(0.021478)/50000-0.04)/2.

FAQ

What is Diameter of Socket Collar of Cotter Joint given Bending Stress in Cotter?

Diameter of socket collar of cotter joint given bending stress in cotter is the required diameter of the collar of the socket of a cotter joint when a bending force acts onto the socket and is represented as d₄ = (4*b^2*σ_b*(t_c)/L-d₂)/2 or 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. The mean Width of Cotter is defined as the average width of the cotter of a cotter joint, Bending Stress in Cotter is defined as the stress that is induced in the cotter subjected to loads that cause it to bend, Thickness of Cotter is the measure of how much broad is the cotter in direction perpendicular to axial force, Load on cotter joint is basically the amount of load/force any part or joint, can bear or is acted upon or exerts & The diameter of Spigot is defined as the diameter of the external surface of the spigot or the inner diameter of the socket.

How to calculate Diameter of Socket Collar of Cotter Joint given Bending Stress in Cotter?

Diameter of socket collar of cotter joint given bending stress in cotter is the required diameter of the collar of the socket of a cotter joint when a bending force acts onto the socket is calculated using 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. To calculate Diameter of Socket Collar of Cotter Joint given Bending Stress in Cotter, you need Mean Width of Cotter (b), Bending Stress in Cotter (σ_b), Thickness of Cotter (t_c), Load on Cotter Joint (L) & Diameter of Spigot (d₂). With our tool, you need to enter the respective value for Mean Width of Cotter, Bending Stress in Cotter, Thickness of Cotter, Load on Cotter Joint & Diameter of 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 Socket Collar?

In this formula, Diameter of Socket Collar uses Mean Width of Cotter, Bending Stress in Cotter, Thickness of Cotter, Load on Cotter Joint & Diameter of Spigot. We can use 3 other way(s) to calculate the same, which is/are as follows -

Diameter of Socket Collar = 2.4*Diameter of Rod of Cotter Joint
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
Diameter of Socket Collar = Diameter of Spigot+(Load on Cotter Joint)/(Thickness of Cotter*Compressive Stress in Spigot)

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