Compressive stress in spigot of cotter joint considering crushing failure Calculator

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Design of Machine Elements	Design of Cotter Joint ↺

✖Load is basically the amount of load/force any material, product, joint, can bear or is acted upon or exerts.ⓘ Load [L]			+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%
✖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%

✖Compressive Stress In Spigot is the amount of stress generated into the spigot due to the compressive force on it.ⓘ Compressive stress in spigot of cotter joint considering crushing failure [σ_c]

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Saurabh Patil

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

Saurabh Patil has created this Calculator and 700+ more calculators!

Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has verified this Calculator and 2600+ more calculators!

Compressive stress in spigot of cotter joint considering crushing failure Solution

STEP 0: Pre-Calculation Summary

Formula Used

Compressive Stress In Spigot = (Load)/(Thickness of cotter*Diameter of Spigot)
σ_c = (L)/(t_c*d₂)
This formula uses 3 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)
Thickness of cotter - Thickness of cotter is the measure of how much broad is the cotter in direction perpendicular to axial force. (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)

STEP 1: Convert Input(s) to Base Unit

Load: 5250 Newton --> 5250 Newton No Conversion Required
Thickness of cotter: 10 Millimeter --> 0.01 Meter (Check conversion here)
Diameter of Spigot: 45 Millimeter --> 0.045 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ_c = (L)/(t_c*d₂) --> (5250)/(0.01*0.045)

Evaluating ... ...

σ_c = 11666666.6666667

STEP 3: Convert Result to Output's Unit

11666666.6666667 Pascal -->11.6666666666667 Newton per Square Millimeter (Check conversion here)

FINAL ANSWER

11.6666666666667 Newton per Square Millimeter <-- Compressive Stress In Spigot

(Calculation completed in 00.018 seconds)

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< 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

Compressive stress in spigot of cotter joint considering crushing failure Formula

Compressive Stress In Spigot = (Load)/(Thickness of cotter*Diameter of Spigot)
σ_c = (L)/(t_c*d₂)

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 Compressive stress in spigot of cotter joint considering crushing failure?

Compressive stress in spigot of cotter joint considering crushing failure calculator uses Compressive Stress In Spigot = (Load)/(Thickness of cotter*Diameter of Spigot) to calculate the Compressive Stress In Spigot, Compressive stress in spigot of cotter joint considering crushing failure is the amount of stress in the spigot of the cotter joint due to the force trying to compress or crush the spigot. Compressive Stress In Spigot is denoted by σ_c symbol.

How to calculate Compressive stress in spigot of cotter joint considering crushing failure using this online calculator? To use this online calculator for Compressive stress in spigot of cotter joint considering crushing failure, enter Load (L), Thickness of cotter (t_c) & Diameter of Spigot (d₂) and hit the calculate button. Here is how the Compressive stress in spigot of cotter joint considering crushing failure calculation can be explained with given input values -> 11.66667 = (5250)/(0.01*0.045).

FAQ

What is Compressive stress in spigot of cotter joint considering crushing failure?

Compressive stress in spigot of cotter joint considering crushing failure is the amount of stress in the spigot of the cotter joint due to the force trying to compress or crush the spigot and is represented as σ_c = (L)/(t_c*d₂) or Compressive Stress In Spigot = (Load)/(Thickness of cotter*Diameter of Spigot). Load is basically the amount of load/force any material, product, joint, can bear or is acted upon or exerts, Thickness of cotter is the measure of how much broad is the cotter in direction perpendicular to axial force & 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 Compressive stress in spigot of cotter joint considering crushing failure?

Compressive stress in spigot of cotter joint considering crushing failure is the amount of stress in the spigot of the cotter joint due to the force trying to compress or crush the spigot is calculated using Compressive Stress In Spigot = (Load)/(Thickness of cotter*Diameter of Spigot). To calculate Compressive stress in spigot of cotter joint considering crushing failure, you need Load (L), Thickness of cotter (t_c) & Diameter of Spigot (d₂). With our tool, you need to enter the respective value for Load, Thickness of cotter & Diameter of Spigot 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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