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Load taken by socket of cotter joint given compressive stress Solution

STEP 0: Pre-Calculation Summary
Formula Used
Load = (Compressive Stress In Socket)*(Diameter of Socket Collar-Diameter of Spigot)*Thickness of cotter
L = (σc)*(d4-d2)*tc
This formula uses 4 Variables
Variables Used
Compressive Stress In Socket - Compressive Stress In Socket is the amount of stress generated into the socket due to the compressive force onto it. (Measured in Newton per Square Millimeter)
Diameter of Socket Collar - Diameter of socket collar is the external diameter of collar of the socket of a cotter joint. (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)
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)
STEP 1: Convert Input(s) to Base Unit
Compressive Stress In Socket: 25 Newton per Square Millimeter --> 25000000 Pascal (Check conversion here)
Diameter of Socket Collar: 100 Millimeter --> 0.1 Meter (Check conversion here)
Diameter of Spigot: 45 Millimeter --> 0.045 Meter (Check conversion here)
Thickness of cotter: 10 Millimeter --> 0.01 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
L = (σc)*(d4-d2)*tc --> (25000000)*(0.1-0.045)*0.01
Evaluating ... ...
L = 13750
STEP 3: Convert Result to Output's Unit
13750 Newton --> No Conversion Required
FINAL ANSWER
13750 Newton <-- Load
(Calculation completed in 00.030 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

Load taken by socket of cotter joint given compressive stress Formula

Load = (Compressive Stress In Socket)*(Diameter of Socket Collar-Diameter of Spigot)*Thickness of cotter
L = (σc)*(d4-d2)*tc

What is a socket?

Socket is the female part of the cotter joint, it also has a rectangular slot for passing the cotter through it. It has a circular hole in which the spigot fits.

How to Calculate Load taken by socket of cotter joint given compressive stress?

Load taken by socket of cotter joint given compressive stress calculator uses Load = (Compressive Stress In Socket)*(Diameter of Socket Collar-Diameter of Spigot)*Thickness of cotter to calculate the Load, The Load taken by socket of cotter joint given compressive stress is the amount of force beared by the socket of the cotter joint at particular crushing stress generated in it. Load is denoted by L symbol.

How to calculate Load taken by socket of cotter joint given compressive stress using this online calculator? To use this online calculator for Load taken by socket of cotter joint given compressive stress, enter Compressive Stress In Socket c), Diameter of Socket Collar (d4), Diameter of Spigot (d2) & Thickness of cotter (tc) and hit the calculate button. Here is how the Load taken by socket of cotter joint given compressive stress calculation can be explained with given input values -> 13750 = (25000000)*(0.1-0.045)*0.01.

FAQ

What is Load taken by socket of cotter joint given compressive stress?
The Load taken by socket of cotter joint given compressive stress is the amount of force beared by the socket of the cotter joint at particular crushing stress generated in it and is represented as L = (σc)*(d4-d2)*tc or Load = (Compressive Stress In Socket)*(Diameter of Socket Collar-Diameter of Spigot)*Thickness of cotter. Compressive Stress In Socket is the amount of stress generated into the socket due to the compressive force onto it, Diameter of socket collar is the external diameter of collar of the socket of a cotter joint, The diameter of Spigot is defined as the diameter of the external surface of the spigot or the inner diameter of the socket & Thickness of cotter is the measure of how much broad is the cotter in direction perpendicular to axial force.
How to calculate Load taken by socket of cotter joint given compressive stress?
The Load taken by socket of cotter joint given compressive stress is the amount of force beared by the socket of the cotter joint at particular crushing stress generated in it is calculated using Load = (Compressive Stress In Socket)*(Diameter of Socket Collar-Diameter of Spigot)*Thickness of cotter. To calculate Load taken by socket of cotter joint given compressive stress, you need Compressive Stress In Socket c), Diameter of Socket Collar (d4), Diameter of Spigot (d2) & Thickness of cotter (tc). With our tool, you need to enter the respective value for Compressive Stress In Socket, Diameter of Socket Collar, Diameter of Spigot & Thickness of cotter 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 Load?
In this formula, Load uses Compressive Stress In Socket, Diameter of Socket Collar, Diameter of Spigot & Thickness of cotter. We can use 7 other way(s) to calculate the same, which is/are as follows -
  • Load = (((pi/4)*(Diameter of Spigot)^2)-(Diameter of Spigot*Thickness of cotter))*Permissible tensile stress
  • Load = (pi*(Diameter of rod^2)*Tensile Stress In Rod)/4
  • Load = (Tensile Stress In Socket)*((pi/4)*(Outside Diameter of Socket^2-Diameter of Spigot^2)-Thickness of cotter*(Outside Diameter of Socket-Diameter of Spigot))
  • Load = (2*(Thickness of cotter)*Mean Width of Cotter*(Shear Stress in Cotter))
  • Load = (2*(Gap between End of Slot to End of Spigot)*Diameter of Spigot*(Shear Stress in Spigot))
  • Load = 2*(Diameter of Socket Collar-Diameter of Spigot)*Axial Distance From Slot to End of Socket Collar*(Shear Stress in Socket)
  • Load = (Thickness of cotter*Diameter of Spigot*(Compressive Stress In Spigot))
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