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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)-(Diameter of Spigot))/2
d4 = ((4*(b^2)*σb*(tc)/L)-(d2))/2
This formula uses 5 Variables
Variables Used
Mean Width of Cotter - The mean Width of Cotter is defined as the average width of the cotter of a cotter joint. (Measured in Millimeter)
Bending Stress in Cotter - Bending Stress in Cotter is defined as the stress that is induced in the cotter subjected to loads that cause it to bend. (Measured in Newton per Square Millimeter)
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)
Load - Load is basically the amount of load/force any material, product, joint, can bear or is acted upon or exerts. (Measured in Newton)
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
Mean Width of Cotter: 30 Millimeter --> 0.03 Meter (Check conversion here)
Bending Stress in Cotter: 100 Newton per Square Millimeter --> 100000000 Pascal (Check conversion here)
Thickness of cotter: 10 Millimeter --> 0.01 Meter (Check conversion here)
Load: 5250 Newton --> 5250 Newton No Conversion Required
Diameter of Spigot: 45 Millimeter --> 0.045 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
d4 = ((4*(b^2)*σb*(tc)/L)-(d2))/2 --> ((4*(0.03^2)*100000000*(0.01)/5250)-(0.045))/2
Evaluating ... ...
d4 = 0.320357142857143
STEP 3: Convert Result to Output's Unit
0.320357142857143 Meter -->320.357142857143 Millimeter (Check conversion here)
FINAL ANSWER
320.357142857143 Millimeter <-- Diameter of Socket Collar
(Calculation completed in 00.031 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

Diameter of socket collar of cotter joint given bending stress in cotter Formula

Diameter of Socket Collar = ((4*(Mean Width of Cotter^2)*Bending Stress in Cotter*(Thickness of cotter)/Load)-(Diameter of Spigot))/2
d4 = ((4*(b^2)*σb*(tc)/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)-(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 b), Thickness of cotter (tc), Load (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 -> 320.3571 = ((4*(0.03^2)*100000000*(0.01)/5250)-(0.045))/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)*σb*(tc)/L)-(d2))/2 or Diameter of Socket Collar = ((4*(Mean Width of Cotter^2)*Bending Stress in Cotter*(Thickness of cotter)/Load)-(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 is basically the amount of load/force any material, product, 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)-(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 b), Thickness of cotter (tc), Load (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 & 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 & 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
  • Diameter of Socket Collar = ((Load)/(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)/(Thickness of cotter*Compressive Stress In Spigot))
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