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

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

GoDiameter of Spigot of Cotter Joint given Compressive Stress 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 = \frac{L}{2 \cdot L a \cdot τ sp}

d₂ - Diameter of Spigot?L - Load on Cotter Joint?L_a - Gap between End of Slot to End of Spigot?τ_sp - Shear Stress in Spigot?

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

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

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

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

39.9996 = \frac{50000}{2 \cdot 23.5 \cdot 26.596}

39.9996mm = \frac{50000N}{2 \cdot 23.5mm \cdot 26.596N/mm²}

39.9996 = \frac{50000}{2 \cdot 23.5 \cdot 26.596}

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

d 2 = \frac{50000N}{2 \cdot 23.5mm \cdot 26.596N/mm²}

Next Step Convert Units

∴

d 2 = \frac{50000N}{2 \cdot 0.0235m \cdot 2.7E+7Pa}

Next Step Prepare to Evaluate

∴

d 2 = \frac{50000}{2 \cdot 0.0235 \cdot 2.7E+7}

Next Step Evaluate

∴

d 2 = 0.0399996160036864m

Next Step Convert to Output's Unit

∴

d 2 = 39.9996160036864mm

LAST Step Rounding Answer

∴

d 2 = 39.9996mm

Diameter of Spigot of Cotter Joint given Shear Stress in Spigot 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

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

Gap between End of Slot to End of Spigot

Gap between End of Slot to End of Spigot is the distance between the end of slot for cotter to the end of spigot opposite from its collar.

Symbol: L_a

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Gap between End of Slot to End of Spigot

Shear Stress in Spigot

Shear Stress in Spigot 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_sp

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Shear Stress in Spigot

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 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

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

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

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

Diameter of Spigot of Cotter Joint given Shear Stress in Spigot evaluator uses Diameter of Spigot = (Load on Cotter Joint)/(2*Gap between End of Slot to End of Spigot*Shear Stress in Spigot) to evaluate the Diameter of Spigot, Diameter of spigot of cotter joint given shear stress in spigot is the required diameter of the spigot of the cotter joint when a shearing force acts onto the spigot. Diameter of Spigot is denoted by d₂ symbol.

How to evaluate Diameter of Spigot of Cotter Joint given Shear Stress in Spigot using this online evaluator? To use this online evaluator for Diameter of Spigot of Cotter Joint given Shear Stress in Spigot, enter Load on Cotter Joint (L), Gap between End of Slot to End of Spigot (L_a) & Shear Stress in Spigot (τ_sp) and hit the calculate button.

FAQs on Diameter of Spigot of Cotter Joint given Shear Stress in Spigot

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

The formula of Diameter of Spigot of Cotter Joint given Shear Stress in Spigot is expressed as Diameter of Spigot = (Load on Cotter Joint)/(2*Gap between End of Slot to End of Spigot*Shear Stress in Spigot). Here is an example- 40916.53 = (50000)/(2*0.0235*26596000).

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

With Load on Cotter Joint (L), Gap between End of Slot to End of Spigot (L_a) & Shear Stress in Spigot (τ_sp) we can find Diameter of Spigot of Cotter Joint given Shear Stress in Spigot using the formula - Diameter of Spigot = (Load on Cotter Joint)/(2*Gap between End of Slot to End of Spigot*Shear Stress in Spigot).

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=Diameter of Socket Collar-(Load on Cotter Joint)/(Thickness of Cotter*Compressive Stress in Spigot)
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

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

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

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

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

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

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

​GoDiameter of Spigot of Cotter Joint given Compressive Stress Formula

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

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

Diameter of Spigot of Cotter Joint given Shear Stress in Spigot Formula Elements

Other Formulas to find Diameter of Spigot

Other formulas in Joint Geometry and Dimensions category

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

FAQs on Diameter of Spigot of Cotter Joint given Shear Stress in Spigot

Variable Name

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

GoDiameter of Spigot of Cotter Joint given Compressive Stress Formula