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Thickness of cotter given tensile stress in socket Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)
tc = (((pi/4)*((d1^2)-(d2^2)))-((L)/σt))/(d1-d2)
This formula uses 1 Constants, 4 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Outside Diameter of Socket - Outside Diameter of Socket is the diameter (twice the radius) of the outer surface of the socket. (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)
Load - Load is basically the amount of load/force any material, product, joint, can bear or is acted upon or exerts. (Measured in Newton)
Tensile Stress In Socket - Tensile Stress In Socket is the amount of stress generated into the socket due to the tensile force onto it. (Measured in Newton per Square Millimeter)
STEP 1: Convert Input(s) to Base Unit
Outside Diameter of Socket: 60 Millimeter --> 0.06 Meter (Check conversion here)
Diameter of Spigot: 45 Millimeter --> 0.045 Meter (Check conversion here)
Load: 5250 Newton --> 5250 Newton No Conversion Required
Tensile Stress In Socket: 40 Newton per Square Millimeter --> 40000000 Pascal (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
tc = (((pi/4)*((d1^2)-(d2^2)))-((L)/σt))/(d1-d2) --> (((pi/4)*((0.06^2)-(0.045^2)))-((5250)/40000000))/(0.06-0.045)
Evaluating ... ...
tc = 0.0737168071567321
STEP 3: Convert Result to Output's Unit
0.0737168071567321 Meter -->73.7168071567321 Millimeter (Check conversion here)
FINAL ANSWER
73.7168071567321 Millimeter <-- Thickness of cotter
(Calculation completed in 00.015 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 tensile stress in socket Formula

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)
tc = (((pi/4)*((d1^2)-(d2^2)))-((L)/σt))/(d1-d2)

What is a spigot?

Spigot is the male part of the cotter joint, it has a rectangular slot for passing the cotter through it. The spigot has a collar that rests against the socket end.

How to Calculate Thickness of cotter given tensile stress in socket?

Thickness of cotter given tensile stress in socket calculator uses 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) to calculate the Thickness of cotter, The Thickness of cotter given tensile stress in socket is the required thickness of the cotter of a cotter joint when a tensile 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 tensile stress in socket using this online calculator? To use this online calculator for Thickness of cotter given tensile stress in socket, enter Outside Diameter of Socket (d1), Diameter of Spigot (d2), Load (L) & Tensile Stress In Socket t) and hit the calculate button. Here is how the Thickness of cotter given tensile stress in socket calculation can be explained with given input values -> 73.71681 = (((pi/4)*((0.06^2)-(0.045^2)))-((5250)/40000000))/(0.06-0.045).

FAQ

What is Thickness of cotter given tensile stress in socket?
The Thickness of cotter given tensile stress in socket is the required thickness of the cotter of a cotter joint when a tensile load acts onto the socket part of the cotter joint and is represented as tc = (((pi/4)*((d1^2)-(d2^2)))-((L)/σt))/(d1-d2) or 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). Outside Diameter of Socket is the diameter (twice the radius) of the outer surface of the socket, The diameter of Spigot is defined as the diameter of the external surface of the spigot or the inner diameter of the socket, Load is basically the amount of load/force any material, product, joint, can bear or is acted upon or exerts & Tensile Stress In Socket is the amount of stress generated into the socket due to the tensile force onto it.
How to calculate Thickness of cotter given tensile stress in socket?
The Thickness of cotter given tensile stress in socket is the required thickness of the cotter of a cotter joint when a tensile load acts onto the socket part of the cotter joint is calculated using 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). To calculate Thickness of cotter given tensile stress in socket, you need Outside Diameter of Socket (d1), Diameter of Spigot (d2), Load (L) & Tensile Stress In Socket t). With our tool, you need to enter the respective value for Outside Diameter of Socket, Diameter of Spigot, Load & Tensile 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 Outside Diameter of Socket, Diameter of Spigot, Load & Tensile Stress In Socket. We can use 4 other way(s) to calculate the same, which is/are as follows -
  • 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 = (Load)/((Diameter of Socket Collar-Diameter of Spigot)*Compressive Stress In Socket)
  • 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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