Diameter of Spigot 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%
✖Diameter of socket collar is the external diameter of collar of the socket of a cotter joint.ⓘ Diameter of Socket Collar [d₄]			+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 of Cotter Joint given Bending Stress in Cotter [d₂]

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Diameter of Spigot of Cotter Joint given Bending Stress in Cotter Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diameter of Spigot = 4*Mean Width of Cotter^2*Bending Stress in Cotter*(Thickness of Cotter)/Load on Cotter Joint-2*Diameter of Socket Collar
d₂ = 4*b^2*σ_b*(t_c)/L-2*d₄
This formula uses 6 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.
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 Socket Collar - (Measured in Meter) - Diameter of socket collar is the external diameter of collar of the socket of a cotter joint.

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 Socket Collar: 80 Millimeter --> 0.08 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d₂ = 4*b^2*σ_b*(t_c)/L-2*d₄ --> 4*0.0485^2*98000000*(0.021478)/50000-2*0.08

Evaluating ... ...

d₂ = 0.23608954392

STEP 3: Convert Result to Output's Unit

0.23608954392 Meter -->236.08954392 Millimeter (Check conversion here)

FINAL ANSWER

236.08954392 ≈ 236.0895 Millimeter <-- Diameter of Spigot

(Calculation completed in 00.004 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 Spigot of Cotter Joint given Bending Stress in Cotter Formula

LaTeX Go

Diameter of Spigot = 4*Mean Width of Cotter^2*Bending Stress in Cotter*(Thickness of Cotter)/Load on Cotter Joint-2*Diameter of Socket Collar
d₂ = 4*b^2*σ_b*(t_c)/L-2*d₄

Sleeve and Cotter Joint

The sleeve and cotter joint is a type of joint used to typically connect two similar coaxial cylindrical rods. It includes a sleeve and two wedge-shaped tapered cotters. Appropriate slots are cut in the sleeve and in the cylindrical rods.
Rectangular rods and dissimilar cylindrical rods cannot be connected using this joint. A sleeve and cotter joints do not allow angular misalignment between its cylindrical members. It cannot connect cylindrical members which undergo rotation.

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

Diameter of Spigot of Cotter Joint given Bending Stress in Cotter calculator uses Diameter of Spigot = 4*Mean Width of Cotter^2*Bending Stress in Cotter*(Thickness of Cotter)/Load on Cotter Joint-2*Diameter of Socket Collar to calculate the Diameter of Spigot, Diameter of spigot of cotter joint given bending stress in cotter is the required diameter of the spigot of the cotter joint when a bending moment acts onto the cotter. Diameter of Spigot is denoted by d₂ symbol.

How to calculate Diameter of Spigot of Cotter Joint given Bending Stress in Cotter using this online calculator? To use this online calculator for Diameter of Spigot 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 Socket Collar (d₄) and hit the calculate button. Here is how the Diameter of Spigot of Cotter Joint given Bending Stress in Cotter calculation can be explained with given input values -> 140598.7 = 4*0.0485^2*98000000*(0.021478)/50000-2*0.08.

FAQ

What is Diameter of Spigot of Cotter Joint given Bending Stress in Cotter?

Diameter of spigot of cotter joint given bending stress in cotter is the required diameter of the spigot of the cotter joint when a bending moment acts onto the cotter and is represented as d₂ = 4*b^2*σ_b*(t_c)/L-2*d₄ or Diameter of Spigot = 4*Mean Width of Cotter^2*Bending Stress in Cotter*(Thickness of Cotter)/Load on Cotter Joint-2*Diameter of Socket Collar. 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 & Diameter of socket collar is the external diameter of collar of the socket of a cotter joint.

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

Diameter of spigot of cotter joint given bending stress in cotter is the required diameter of the spigot of the cotter joint when a bending moment acts onto the cotter is calculated using Diameter of Spigot = 4*Mean Width of Cotter^2*Bending Stress in Cotter*(Thickness of Cotter)/Load on Cotter Joint-2*Diameter of Socket Collar. To calculate Diameter of Spigot 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 Socket Collar (d₄). 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 Socket Collar 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 Mean Width of Cotter, Bending Stress in Cotter, Thickness of Cotter, Load on Cotter Joint & Diameter of Socket Collar. 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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