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Thickness of cotter given compressive stress in socket Solution

STEP 0: Pre-Calculation Summary
Formula Used
Thickness of cotter = (Load)/((Diameter of Socket Collar-Diameter of Spigot)*Compressive Stress In Socket)
tc = (L)/((d4-d2)*σc)
This formula uses 4 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)
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)
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)
STEP 1: Convert Input(s) to Base Unit
Load: 5250 Newton --> 5250 Newton No Conversion Required
Diameter of Socket Collar: 100 Millimeter --> 0.1 Meter (Check conversion here)
Diameter of Spigot: 45 Millimeter --> 0.045 Meter (Check conversion here)
Compressive Stress In Socket: 25 Newton per Square Millimeter --> 25000000 Pascal (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
tc = (L)/((d4-d2)*σc) --> (5250)/((0.1-0.045)*25000000)
Evaluating ... ...
tc = 0.00381818181818182
STEP 3: Convert Result to Output's Unit
0.00381818181818182 Meter -->3.81818181818182 Millimeter (Check conversion here)
FINAL ANSWER
3.81818181818182 Millimeter <-- Thickness of cotter
(Calculation completed in 00.016 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

Thickness of cotter given compressive stress in socket Formula

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

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 Thickness of cotter given compressive stress in socket?

Thickness of cotter given compressive stress in socket calculator uses Thickness of cotter = (Load)/((Diameter of Socket Collar-Diameter of Spigot)*Compressive Stress In Socket) to calculate the Thickness of cotter, The Thickness of cotter given compressive stress in socket is the required thickness of the cotter of a cotter joint when a crushing load acts onto the socket part of the cotter joint. Thickness of cotter is denoted by tc symbol.

How to calculate Thickness of cotter given compressive stress in socket using this online calculator? To use this online calculator for Thickness of cotter given compressive stress in socket, enter Load (L), Diameter of Socket Collar (d4), Diameter of Spigot (d2) & Compressive Stress In Socket c) and hit the calculate button. Here is how the Thickness of cotter given compressive stress in socket calculation can be explained with given input values -> 3.818182 = (5250)/((0.1-0.045)*25000000).

FAQ

What is Thickness of cotter given compressive stress in socket?
The Thickness of cotter given compressive stress in socket is the required thickness of the cotter of a cotter joint when a crushing load acts onto the socket part of the cotter joint and is represented as tc = (L)/((d4-d2)*σc) or Thickness of cotter = (Load)/((Diameter of Socket Collar-Diameter of Spigot)*Compressive Stress In Socket). Load is basically the amount of load/force any material, product, 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, The diameter of Spigot is defined as the diameter of the external surface of the spigot or the inner diameter of the socket & Compressive Stress In Socket is the amount of stress generated into the socket due to the compressive force onto it.
How to calculate Thickness of cotter given compressive stress in socket?
The Thickness of cotter given compressive stress in socket is the required thickness of the cotter of a cotter joint when a crushing load acts onto the socket part of the cotter joint is calculated using Thickness of cotter = (Load)/((Diameter of Socket Collar-Diameter of Spigot)*Compressive Stress In Socket). To calculate Thickness of cotter given compressive stress in socket, you need Load (L), Diameter of Socket Collar (d4), Diameter of Spigot (d2) & Compressive Stress In Socket c). With our tool, you need to enter the respective value for Load, Diameter of Socket Collar, Diameter of Spigot & Compressive Stress In Socket 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 Thickness of cotter?
In this formula, Thickness of cotter uses Load, Diameter of Socket Collar, Diameter of Spigot & Compressive Stress In Socket. We can use 4 other way(s) to calculate the same, which is/are as follows -
  • Thickness of cotter = (((pi/4)*((Outside Diameter of Socket^2)-(Diameter of Spigot^2)))-((Load)/Tensile Stress In Socket))/(Outside Diameter of Socket-Diameter of Spigot)
  • Thickness of cotter = (Load)/(2*(Shear Stress in Cotter)*Mean Width of Cotter)
  • Thickness of cotter = (Load)/(Compressive Stress In Spigot*Diameter of Spigot)
  • Thickness of cotter = ((2*Diameter of Socket Collar)+(Diameter of Spigot))*((Load)/(4*(Mean Width of Cotter^2)*Bending Stress in Cotter))
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