Shear Stress in Socket of Cotter Joint given Inner and Outer Diameter of Socket Formula

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Shear Stress in Socket is the amount of stress (cause deformation by slippage along a plane parallel to the imposed stress) generated into the socket due to the shear force acting on it. Check FAQs
τso=L2(d4-d2)c
τso - Shear Stress in Socket?L - Load on Cotter Joint?d4 - Diameter of Socket Collar?d2 - Diameter of Spigot?c - Axial Distance From Slot to End of Socket Collar?

Shear Stress in Socket of Cotter Joint given Inner and Outer Diameter of Socket Example

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Here is how the Shear Stress in Socket of Cotter Joint given Inner and Outer Diameter of Socket equation looks like with Values.

Here is how the Shear Stress in Socket of Cotter Joint given Inner and Outer Diameter of Socket equation looks like with Units.

Here is how the Shear Stress in Socket of Cotter Joint given Inner and Outer Diameter of Socket equation looks like.

25Edit=50000Edit2(80Edit-40Edit)25Edit
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Shear Stress in Socket of Cotter Joint given Inner and Outer Diameter of Socket Solution

Follow our step by step solution on how to calculate Shear Stress in Socket of Cotter Joint given Inner and Outer Diameter of Socket?

FIRST Step Consider the formula
τso=L2(d4-d2)c
Next Step Substitute values of Variables
τso=50000N2(80mm-40mm)25mm
Next Step Convert Units
τso=50000N2(0.08m-0.04m)0.025m
Next Step Prepare to Evaluate
τso=500002(0.08-0.04)0.025
Next Step Evaluate
τso=25000000Pa
LAST Step Convert to Output's Unit
τso=25N/mm²

Shear Stress in Socket of Cotter Joint given Inner and Outer Diameter of Socket Formula Elements

Variables
Shear Stress in Socket
Shear Stress in Socket is the amount of stress (cause deformation by slippage along a plane parallel to the imposed stress) generated into the socket due to the shear force acting on it.
Symbol: τso
Measurement: StressUnit: N/mm²
Note: Value should be greater than 0.
Load on Cotter Joint
Load on cotter joint is basically the amount of load/force any part or joint, can bear or is acted upon or exerts.
Symbol: L
Measurement: ForceUnit: N
Note: Value should be greater than 0.
Diameter of Socket Collar
Diameter of socket collar is the external diameter of collar of the socket of a cotter joint.
Symbol: d4
Measurement: LengthUnit: mm
Note: Value should be greater than 0.
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.
Symbol: d2
Measurement: LengthUnit: mm
Note: Value should be greater than 0.
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.
Symbol: c
Measurement: LengthUnit: mm
Note: Value should be greater than 0.

Other formulas in Strength and Stress category

​Go Tensile Stress in Rod of Cotter Joint
σtrod=4Lπd2
​Go Tensile Stress in Spigot of Cotter Joint given Diameter of Spigot, Thickenss of Cotter and Load
σtsp=Lπd224-d2tc
​Go Shear Stress in Cotter given Cotter Thickness and Width
τco=L2tcb
​Go Shear Stress in Spigot of Cotter Joint given Diameter of Spigot and Load
τsp=L2Lad2

How to Evaluate Shear Stress in Socket of Cotter Joint given Inner and Outer Diameter of Socket?

Shear Stress in Socket of Cotter Joint given Inner and Outer Diameter of Socket evaluator uses Shear Stress in Socket = (Load on Cotter Joint)/(2*(Diameter of Socket Collar-Diameter of Spigot)*Axial Distance From Slot to End of Socket Collar) to evaluate the Shear Stress in Socket, Shear stress in socket of cotter joint given inner and outer diameter of socket is the amount of shear stress in the socket of the cotter joint due to the shearing force trying to break or fracture the socket in a plane parallel to cotter joint's axis. Shear Stress in Socket is denoted by τso symbol.

How to evaluate Shear Stress in Socket of Cotter Joint given Inner and Outer Diameter of Socket using this online evaluator? To use this online evaluator for Shear Stress in Socket of Cotter Joint given Inner and Outer Diameter of Socket, enter Load on Cotter Joint (L), Diameter of Socket Collar (d4), Diameter of Spigot (d2) & Axial Distance From Slot to End of Socket Collar (c) and hit the calculate button.

FAQs on Shear Stress in Socket of Cotter Joint given Inner and Outer Diameter of Socket

What is the formula to find Shear Stress in Socket of Cotter Joint given Inner and Outer Diameter of Socket?
The formula of Shear Stress in Socket of Cotter Joint given Inner and Outer Diameter of Socket is expressed as Shear Stress in Socket = (Load on Cotter Joint)/(2*(Diameter of Socket Collar-Diameter of Spigot)*Axial Distance From Slot to End of Socket Collar). Here is an example- 2.8E-5 = (50000)/(2*(0.08-0.04)*0.025).
How to calculate Shear Stress in Socket of Cotter Joint given Inner and Outer Diameter of Socket?
With Load on Cotter Joint (L), Diameter of Socket Collar (d4), Diameter of Spigot (d2) & Axial Distance From Slot to End of Socket Collar (c) we can find Shear Stress in Socket of Cotter Joint given Inner and Outer Diameter of Socket using the formula - Shear Stress in Socket = (Load on Cotter Joint)/(2*(Diameter of Socket Collar-Diameter of Spigot)*Axial Distance From Slot to End of Socket Collar).
Can the Shear Stress in Socket of Cotter Joint given Inner and Outer Diameter of Socket be negative?
No, the Shear Stress in Socket of Cotter Joint given Inner and Outer Diameter of Socket, measured in Stress cannot be negative.
Which unit is used to measure Shear Stress in Socket of Cotter Joint given Inner and Outer Diameter of Socket?
Shear Stress in Socket of Cotter Joint given Inner and Outer Diameter of Socket is usually measured using the Newton per Square Millimeter[N/mm²] for Stress. Pascal[N/mm²], Newton per Square Meter[N/mm²], Kilonewton per Square Meter[N/mm²] are the few other units in which Shear Stress in Socket of Cotter Joint given Inner and Outer Diameter of Socket can be measured.
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