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Cross section area of socket end resisting shear failure Solution

STEP 0: Pre-Calculation Summary
Formula Used
Cross Sectional Area = (Diameter of Socket Collar-Diameter of Spigot)*Axial Distance From Slot to End of Socket Collar
A = (d4-d2)*c
This formula uses 3 Variables
Variables Used
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)
Axial Distance From Slot to End of Socket Collar - Axial Distance From Slot to End of Socket Collar is the distance between the slot for cotter to the end of socket collar measured along the socket axis. (Measured in Millimeter)
STEP 1: Convert Input(s) to Base Unit
Diameter of Socket Collar: 100 Millimeter --> 0.1 Meter (Check conversion here)
Diameter of Spigot: 45 Millimeter --> 0.045 Meter (Check conversion here)
Axial Distance From Slot to End of Socket Collar: 12 Millimeter --> 0.012 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
A = (d4-d2)*c --> (0.1-0.045)*0.012
Evaluating ... ...
A = 0.00066
STEP 3: Convert Result to Output's Unit
0.00066 Square Meter -->660 Square Millimeter (Check conversion here)
FINAL ANSWER
660 Square Millimeter <-- Cross Sectional Area
(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

Cross section area of socket end resisting shear failure Formula

Cross Sectional Area = (Diameter of Socket Collar-Diameter of Spigot)*Axial Distance From Slot to End of Socket Collar
A = (d4-d2)*c

Loads supported by a cotter joint

Cotter joints are used to support axial loads between the two rods, tensile or compressive. Although a cotter joint will resist the rotation of one rod relative to the other, it should not be used to join rotating shafts. This is because the cotter will not be balanced and may work loose under the combination of vibration and centrifugal force.

How to Calculate Cross section area of socket end resisting shear failure?

Cross section area of socket end resisting shear failure calculator uses Cross Sectional Area = (Diameter of Socket Collar-Diameter of Spigot)*Axial Distance From Slot to End of Socket Collar to calculate the Cross Sectional Area, Cross section area of socket end resisting shear failure is the area of cords section of the socket of a cotter joint that is more vulnerable to failure or fracture due to the shearing force. Cross Sectional Area is denoted by A symbol.

How to calculate Cross section area of socket end resisting shear failure using this online calculator? To use this online calculator for Cross section area of socket end resisting shear failure, enter Diameter of Socket Collar (d4), Diameter of Spigot (d2) & Axial Distance From Slot to End of Socket Collar (c) and hit the calculate button. Here is how the Cross section area of socket end resisting shear failure calculation can be explained with given input values -> 660 = (0.1-0.045)*0.012.

FAQ

What is Cross section area of socket end resisting shear failure?
Cross section area of socket end resisting shear failure is the area of cords section of the socket of a cotter joint that is more vulnerable to failure or fracture due to the shearing force and is represented as A = (d4-d2)*c or Cross Sectional Area = (Diameter of Socket Collar-Diameter of Spigot)*Axial Distance From Slot to End of Socket Collar. 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 & Axial Distance From Slot to End of Socket Collar is the distance between the slot for cotter to the end of socket collar measured along the socket axis.
How to calculate Cross section area of socket end resisting shear failure?
Cross section area of socket end resisting shear failure is the area of cords section of the socket of a cotter joint that is more vulnerable to failure or fracture due to the shearing force is calculated using Cross Sectional Area = (Diameter of Socket Collar-Diameter of Spigot)*Axial Distance From Slot to End of Socket Collar. To calculate Cross section area of socket end resisting shear failure, you need Diameter of Socket Collar (d4), Diameter of Spigot (d2) & Axial Distance From Slot to End of Socket Collar (c). With our tool, you need to enter the respective value for Diameter of Socket Collar, Diameter of Spigot & Axial Distance From Slot to End of Socket Collar 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 Cross Sectional Area?
In this formula, Cross Sectional Area uses Diameter of Socket Collar, Diameter of Spigot & Axial Distance From Slot to End of Socket Collar. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Cross Sectional Area = ((pi*Diameter of Spigot^2)/4)-(Diameter of Spigot*Thickness of cotter)
  • Cross Sectional Area = ((pi/4)*((Outside Diameter of Socket^2)-(Diameter of Spigot^2)))-(Thickness of cotter*(Outside Diameter of Socket-Diameter of Spigot))
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