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Inside Diameter of Socket of Cotter Joint given Shear Stress in Socket Formula

GoMinimum Diameter of Spigot in Cotter Joint Subjected to Crushing Stress Formula

GoDiameter of Spigot of Cotter Joint given Shear Stress in Spigot Formula

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The diameter of Spigot is defined as the diameter of the external surface of the spigot or the inner diameter of the socket. Check FAQs

d 2 = d 4 - \frac{L}{2 \cdot c \cdot τ so}

d₂ - Diameter of Spigot?d₄ - Diameter of Socket Collar?L - Load on Cotter Joint?c - Axial Distance From Slot to End of Socket Collar?τ_so - Shear Stress in Socket?

Inside Diameter of Socket of Cotter Joint given Shear Stress in Socket Example

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

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

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

40 = 80 - \frac{50000}{2 \cdot 25 \cdot 25}

40mm = 80mm - \frac{50000N}{2 \cdot 25mm \cdot 25N/mm²}

40 = 80 - \frac{50000}{2 \cdot 25 \cdot 25}

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Inside Diameter of Socket of Cotter Joint given Shear Stress in Socket Solution

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

FIRST Step Consider the formula

d 2 = d 4 - \frac{L}{2 \cdot c \cdot τ so}

Next Step Substitute values of Variables

∴

d 2 = 80mm - \frac{50000N}{2 \cdot 25mm \cdot 25N/mm²}

Next Step Convert Units

∴

d 2 = 0.08m - \frac{50000N}{2 \cdot 0.025m \cdot 2.5E+7Pa}

Next Step Prepare to Evaluate

∴

d 2 = 0.08 - \frac{50000}{2 \cdot 0.025 \cdot 2.5E+7}

Next Step Evaluate

∴

d 2 = 0.04m

LAST Step Convert to Output's Unit

∴

d 2 = 40mm

Inside Diameter of Socket of Cotter Joint given Shear Stress in Socket Formula Elements

Variables

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.

Formulas to find Diameter of Spigot

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.

Formulas to find Diameter of Socket Collar

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.

Formulas to find Load on Cotter Joint

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.

Formulas to find Axial Distance From Slot to End of Socket Collar

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: τ_so

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Shear Stress in Socket

Other Formulas to find Diameter of Spigot

Go Minimum Diameter of Spigot in Cotter Joint Subjected to Crushing Stress

d 2 = \frac{L}{σ c \cdot t c}

Go Diameter of Spigot of Cotter Joint given Shear Stress in Spigot

d 2 = \frac{L}{2 \cdot L a \cdot τ sp}

Go Diameter of Spigot of Cotter Joint given Compressive Stress

d 2 = d 4 - \frac{L}{t c \cdot σ c1}

Go Diameter of Spigot of Cotter Joint given Bending Stress in Cotter

d 2 = 4 \cdot b^{2} \cdot σ b \cdot \frac{t c}{L} - 2 \cdot d 4

Other formulas in Joint Geometry and Dimensions category

Go Diameter of Spigot Collar given Rod Diameter

d 3 = 1.5 \cdot d

Go Width of Cotter by Shear Consideration

b = \frac{V}{2 \cdot τ co \cdot t c}

Go Width of Cotter by Bending Consideration

b = {(3 \cdot \frac{L}{t c \cdot σ b} \cdot (\frac{d 2}{4} + \frac{d 4 - d 2}{6}))}^{0.5}

Go Thickness of Cotter Joint

t c = 0.31 \cdot d

How to Evaluate Inside Diameter of Socket of Cotter Joint given Shear Stress in Socket?

Inside Diameter of Socket of Cotter Joint given Shear Stress in Socket evaluator uses 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) to evaluate the Diameter of Spigot, Inside diameter of socket of cotter joint given shear stress in socket ia the diameter of the internal surface of the socket of a cotter joint which is in direct contact with the spigot's outer surface. Diameter of Spigot is denoted by d₂ symbol.

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

FAQs on Inside Diameter of Socket of Cotter Joint given Shear Stress in Socket

What is the formula to find Inside Diameter of Socket of Cotter Joint given Shear Stress in Socket?

The formula of Inside Diameter of Socket of Cotter Joint given Shear Stress in Socket is expressed as 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). Here is an example- 34545.45 = 0.08-(50000)/(2*0.025*25000000).

How to calculate Inside Diameter of Socket of Cotter Joint given Shear Stress in Socket?

With Diameter of Socket Collar (d₄), Load on Cotter Joint (L), Axial Distance From Slot to End of Socket Collar (c) & Shear Stress in Socket (τ_so) we can find Inside Diameter of Socket of Cotter Joint given Shear Stress in Socket using the formula - 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).

What are the other ways to Calculate Diameter of Spigot?

Here are the different ways to Calculate Diameter of Spigot-

Diameter of Spigot=Load on Cotter Joint/(Crushing Stress induced in Cotter*Thickness of Cotter)
Diameter of Spigot=(Load on Cotter Joint)/(2*Gap between End of Slot to End of Spigot*Shear Stress in Spigot)
Diameter of Spigot=Diameter of Socket Collar-(Load on Cotter Joint)/(Thickness of Cotter*Compressive Stress in Spigot)

Can the Inside Diameter of Socket of Cotter Joint given Shear Stress in Socket be negative?

No, the Inside Diameter of Socket of Cotter Joint given Shear Stress in Socket, measured in Length cannot be negative.

Which unit is used to measure Inside Diameter of Socket of Cotter Joint given Shear Stress in Socket?

Inside Diameter of Socket of Cotter Joint given Shear Stress in Socket is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Inside Diameter of Socket of Cotter Joint given Shear Stress in Socket can be measured.

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Inside Diameter of Socket of Cotter Joint given Shear Stress in Socket Formula

​GoMinimum Diameter of Spigot in Cotter Joint Subjected to Crushing Stress Formula

​GoDiameter of Spigot of Cotter Joint given Shear Stress in Spigot Formula

Inside Diameter of Socket of Cotter Joint given Shear Stress in Socket Example

Inside Diameter of Socket of Cotter Joint given Shear Stress in Socket Solution

Inside Diameter of Socket of Cotter Joint given Shear Stress in Socket Formula Elements

Other Formulas to find Diameter of Spigot

Other formulas in Joint Geometry and Dimensions category

How to Evaluate Inside Diameter of Socket of Cotter Joint given Shear Stress in Socket?

FAQs on Inside Diameter of Socket of Cotter Joint given Shear Stress in Socket

Variable Name

GoMinimum Diameter of Spigot in Cotter Joint Subjected to Crushing Stress Formula

GoDiameter of Spigot of Cotter Joint given Shear Stress in Spigot Formula