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Tensile stress in socket of cotter joint given outer and inner diameter of socket Solution

STEP 0: Pre-Calculation Summary
Formula Used
Tensile Stress In Socket = Load/((pi/4)*(Outside Diameter of Socket^2-Diameter of Spigot^2)-Thickness of cotter*(Outside Diameter of Socket-Diameter of Spigot))
σt = L/((pi/4)*(d1^2-d2^2)-tc*(d1-d2))
This formula uses 1 Constants, 4 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
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)
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)
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
Load: 5250 Newton --> 5250 Newton No Conversion Required
Outside Diameter of Socket: 60 Millimeter --> 0.06 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
σt = L/((pi/4)*(d1^2-d2^2)-tc*(d1-d2)) --> 5250/((pi/4)*(0.06^2-0.045^2)-0.01*(0.06-0.045))
Evaluating ... ...
σt = 4829797.44427012
STEP 3: Convert Result to Output's Unit
4829797.44427012 Pascal -->4.82979744427012 Newton per Square Millimeter (Check conversion here)
FINAL ANSWER
4.82979744427012 Newton per Square Millimeter <-- Tensile Stress In Socket
(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

Tensile stress in socket of cotter joint given outer and inner diameter of socket Formula

Tensile Stress In Socket = Load/((pi/4)*(Outside Diameter of Socket^2-Diameter of Spigot^2)-Thickness of cotter*(Outside Diameter of Socket-Diameter of Spigot))
σt = L/((pi/4)*(d1^2-d2^2)-tc*(d1-d2))

What is a cotter and when is it used?

Cotter is a flat wedge-shaped metal piece that is used to connect two rods that transmit the force but without rotation. The force may be axial and of tensile or compressive nature. Cotter is fitted in the tapered slot and remains in its position because of wedge action.

How to Calculate Tensile stress in socket of cotter joint given outer and inner diameter of socket?

Tensile stress in socket of cotter joint given outer and inner diameter of socket calculator uses Tensile Stress In Socket = Load/((pi/4)*(Outside Diameter of Socket^2-Diameter of Spigot^2)-Thickness of cotter*(Outside Diameter of Socket-Diameter of Spigot)) to calculate the Tensile Stress In Socket, The Tensile stress in socket of cotter joint given outer and inner diameter of socket is the amount of shearing force beared by the socket of the cotter joint at particular shear stress generated in it. Tensile Stress In Socket is denoted by σt symbol.

How to calculate Tensile stress in socket of cotter joint given outer and inner diameter of socket using this online calculator? To use this online calculator for Tensile stress in socket of cotter joint given outer and inner diameter of socket, enter Load (L), Outside Diameter of Socket (d1), Diameter of Spigot (d2) & Thickness of cotter (tc) and hit the calculate button. Here is how the Tensile stress in socket of cotter joint given outer and inner diameter of socket calculation can be explained with given input values -> 4.829797 = 5250/((pi/4)*(0.06^2-0.045^2)-0.01*(0.06-0.045)).

FAQ

What is Tensile stress in socket of cotter joint given outer and inner diameter of socket?
The Tensile stress in socket of cotter joint given outer and inner diameter of socket is the amount of shearing force beared by the socket of the cotter joint at particular shear stress generated in it and is represented as σt = L/((pi/4)*(d1^2-d2^2)-tc*(d1-d2)) or Tensile Stress In Socket = Load/((pi/4)*(Outside Diameter of Socket^2-Diameter of Spigot^2)-Thickness of cotter*(Outside Diameter of Socket-Diameter of Spigot)). Load is basically the amount of load/force any material, product, joint, can bear or is acted upon or exerts, 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 & Thickness of cotter is the measure of how much broad is the cotter in direction perpendicular to axial force.
How to calculate Tensile stress in socket of cotter joint given outer and inner diameter of socket?
The Tensile stress in socket of cotter joint given outer and inner diameter of socket is the amount of shearing force beared by the socket of the cotter joint at particular shear stress generated in it is calculated using Tensile Stress In Socket = Load/((pi/4)*(Outside Diameter of Socket^2-Diameter of Spigot^2)-Thickness of cotter*(Outside Diameter of Socket-Diameter of Spigot)). To calculate Tensile stress in socket of cotter joint given outer and inner diameter of socket, you need Load (L), Outside Diameter of Socket (d1), Diameter of Spigot (d2) & Thickness of cotter (tc). With our tool, you need to enter the respective value for Load, Outside Diameter of Socket, 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.
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