Cross Section Area of Spigot of Cotter Joint Prone to Failure Solution

STEP 0: Pre-Calculation Summary
Formula Used
Cross Sectional Area of Spigot = (pi*Diameter of Spigot^2)/4-Diameter of Spigot*Thickness of Cotter
As = (pi*d2^2)/4-d2*tc
This formula uses 1 Constants, 3 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Cross Sectional Area of Spigot - (Measured in Square Meter) - Cross Sectional Area of Spigot is the area of a two-dimensional shape that is obtained when a spigot is sliced perpendicular to some specified axis at a point.
Diameter of Spigot - (Measured in Meter) - 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 - (Measured in Meter) - Thickness of Cotter is the measure of how much broad is the cotter in direction perpendicular to axial force.
STEP 1: Convert Input(s) to Base Unit
Diameter of Spigot: 40 Millimeter --> 0.04 Meter (Check conversion here)
Thickness of Cotter: 14 Millimeter --> 0.014 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
As = (pi*d2^2)/4-d2*tc --> (pi*0.04^2)/4-0.04*0.014
Evaluating ... ...
As = 0.000696637061435917
STEP 3: Convert Result to Output's Unit
0.000696637061435917 Square Meter -->696.637061435917 Square Millimeter (Check conversion here)
FINAL ANSWER
696.637061435917 696.6371 Square Millimeter <-- Cross Sectional Area of Spigot
(Calculation completed in 00.004 seconds)

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25 Joint Geometry and Dimensions Calculators

Thickness of Cotter given Tensile Stress in Socket
Go Thickness of Cotter = ((pi/4*(Outside Diameter of Socket^2-Diameter of Spigot^2))-(Load at Cotter Joint)/Tensile Stress In Socket)/(Outside Diameter of Socket-Diameter of Spigot)
Width of Cotter by Bending Consideration
Go Mean Width of Cotter = (3*Load on Cotter Joint/(Thickness of Cotter*Bending Stress in Cotter)*(Diameter of Spigot/4+(Diameter of Socket Collar-Diameter of Spigot)/6))^0.5
Thickness of Cotter Joint given Bending Stress in Cotter
Go Thickness of Cotter = (2*Diameter of Socket Collar+Diameter of Spigot)*((Load on Cotter Joint)/(4*Mean Width of Cotter^2*Bending Stress in Cotter))
Diameter of Socket Collar of Cotter Joint given Bending Stress in Cotter
Go Diameter of Socket Collar = (4*Mean Width of Cotter^2*Bending Stress in Cotter*(Thickness of Cotter)/Load on Cotter Joint-Diameter of Spigot)/2
Diameter of Spigot of Cotter Joint given Bending Stress in Cotter
Go Diameter of Spigot = 4*Mean Width of Cotter^2*Bending Stress in Cotter*(Thickness of Cotter)/Load on Cotter Joint-2*Diameter of Socket Collar
Inside Diameter of Socket of Cotter Joint given Shear Stress in Socket
Go Diameter of Spigot = Diameter of Socket Collar-(Load on Cotter Joint)/(2*Axial Distance From Slot to End of Socket Collar*Shear Stress in Socket)
Diameter of socket collar of cotter joint given shear stress in socket
Go Diameter of Socket Collar = (Load on Cotter Joint)/(2*Axial Distance From Slot to End of Socket Collar*Shear Stress in Socket)+Diameter of Spigot
Thickness of Cotter given Compressive Stress in Socket
Go Thickness of Cotter = (Load on Cotter Joint)/((Diameter of Socket Collar-Diameter of Spigot)*Compressive Stress In Socket)
Diameter of Socket Collar of Cotter Joint given Compressive Stress
Go Diameter of Socket Collar = Diameter of Spigot+(Load on Cotter Joint)/(Thickness of Cotter*Compressive Stress in Spigot)
Diameter of Spigot of Cotter Joint given Compressive Stress
Go Diameter of Spigot = Diameter of Socket Collar-(Load on Cotter Joint)/(Thickness of Cotter*Compressive Stress in Spigot)
Minimum Rod Diameter in Cotter Joint given Axial Tensile Force and Stress
Go Diameter of Rod of Cotter Joint = sqrt((4*Load on Cotter Joint)/(Tensile Stress in Cotter Joint Rod*pi))
Cross Section Area of Spigot of Cotter Joint Prone to Failure
Go Cross Sectional Area of Spigot = (pi*Diameter of Spigot^2)/4-Diameter of Spigot*Thickness of Cotter
Diameter of Spigot of Cotter Joint given Shear Stress in Spigot
Go Diameter of Spigot = (Load on Cotter Joint)/(2*Gap between End of Slot to End of Spigot*Shear Stress in Spigot)
Minimum Diameter of Spigot in Cotter Joint Subjected to Crushing Stress
Go Diameter of Spigot = Load on Cotter Joint/(Crushing Stress induced in Cotter*Thickness of Cotter)
Thickness of Cotter given Compressive Stress in Spigot
Go Thickness of Cotter = (Load on Cotter Joint)/(Compressive Stress in Spigot*Diameter of Spigot)
Thickness of Cotter given Shear Stress in Cotter
Go Thickness of Cotter = (Load on Cotter Joint)/(2*Shear Stress in Cotter*Mean Width of Cotter)
Width of Cotter by Shear Consideration
Go Mean Width of Cotter = Shear Force on Cotter/(2*Shear Stress in Cotter*Thickness of Cotter)
Diameter of Rod of Cotter Joint given Thickness of Spigot Collar
Go Diameter of Rod of Cotter Joint = Thickness of Spigot Collar/(0.45)
Thickness of Spigot Collar when Rod Diameter is Available
Go Thickness of Spigot Collar = 0.45*Diameter of Rod of Cotter Joint
Diameter of Rod of Cotter Joint given Spigot Collar Diameter
Go Diameter of Rod of Cotter Joint = Diameter of Spigot Collar/1.5
Diameter of Rod of Cotter Joint given Socket Collar Diameter
Go Diameter of Rod of Cotter Joint = Diameter of Socket Collar/2.4
Diameter of Spigot Collar given Rod Diameter
Go Diameter of Spigot Collar = 1.5*Diameter of Rod of Cotter Joint
Diameter of Socket Collar given Rod Diameter
Go Diameter of Socket Collar = 2.4*Diameter of Rod of Cotter Joint
Diameter of Rod of Cotter Joint given Thickness of Cotter
Go Diameter of Rod of Cotter Joint = Thickness of Cotter/(0.31)
Thickness of Cotter Joint
Go Thickness of Cotter = 0.31*Diameter of Rod of Cotter Joint

Cross Section Area of Spigot of Cotter Joint Prone to Failure Formula

Cross Sectional Area of Spigot = (pi*Diameter of Spigot^2)/4-Diameter of Spigot*Thickness of Cotter
As = (pi*d2^2)/4-d2*tc

What is a cotter joint?

A cotter joint, also known as a socket and spigot joint, is a method of temporarily joining two coaxial rods. One rod is fitted with a spigot, which fits inside a socket on one end of the other rod. Slots in the socket and the spigot align so that a cotter can be inserted to lock the two rods together.

How to Calculate Cross Section Area of Spigot of Cotter Joint Prone to Failure?

Cross Section Area of Spigot of Cotter Joint Prone to Failure calculator uses Cross Sectional Area of Spigot = (pi*Diameter of Spigot^2)/4-Diameter of Spigot*Thickness of Cotter to calculate the Cross Sectional Area of Spigot, Cross section area of spigot of cotter joint prone to failure is the area of cross-section of the part of the spigot of the cotter joint which is more likely to fail or fracture under axial loading. Cross Sectional Area of Spigot is denoted by As symbol.

How to calculate Cross Section Area of Spigot of Cotter Joint Prone to Failure using this online calculator? To use this online calculator for Cross Section Area of Spigot of Cotter Joint Prone to Failure, enter Diameter of Spigot (d2) & Thickness of Cotter (tc) and hit the calculate button. Here is how the Cross Section Area of Spigot of Cotter Joint Prone to Failure calculation can be explained with given input values -> 7E+8 = (pi*0.04^2)/4-0.04*0.014.

FAQ

What is Cross Section Area of Spigot of Cotter Joint Prone to Failure?
Cross section area of spigot of cotter joint prone to failure is the area of cross-section of the part of the spigot of the cotter joint which is more likely to fail or fracture under axial loading and is represented as As = (pi*d2^2)/4-d2*tc or Cross Sectional Area of Spigot = (pi*Diameter of Spigot^2)/4-Diameter of Spigot*Thickness of Cotter. 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 Cross Section Area of Spigot of Cotter Joint Prone to Failure?
Cross section area of spigot of cotter joint prone to failure is the area of cross-section of the part of the spigot of the cotter joint which is more likely to fail or fracture under axial loading is calculated using Cross Sectional Area of Spigot = (pi*Diameter of Spigot^2)/4-Diameter of Spigot*Thickness of Cotter. To calculate Cross Section Area of Spigot of Cotter Joint Prone to Failure, you need Diameter of Spigot (d2) & Thickness of Cotter (tc). With our tool, you need to enter the respective value for 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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