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Diameter of Spigot of Cotter Joint given Compressive Stress 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}{t c \cdot σ c1}

d₂ - Diameter of Spigot?d₄ - Diameter of Socket Collar?L - Load on Cotter Joint?t_c - Thickness of Cotter?σ_c1 - Compressive Stress in Spigot?

Diameter of Spigot of Cotter Joint given Compressive Stress Example

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

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

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

40.0006 = 80 - \frac{50000}{21.478 \cdot 58.2}

40.0006mm = 80mm - \frac{50000N}{21.478mm \cdot 58.2N/mm²}

40.0006 = 80 - \frac{50000}{21.478 \cdot 58.2}

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Diameter of Spigot of Cotter Joint given Compressive Stress Solution

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

FIRST Step Consider the formula

d 2 = d 4 - \frac{L}{t c \cdot σ c1}

Next Step Substitute values of Variables

∴

d 2 = 80mm - \frac{50000N}{21.478mm \cdot 58.2N/mm²}

Next Step Convert Units

∴

d 2 = 0.08m - \frac{50000N}{0.0215m \cdot 5.8E+7Pa}

Next Step Prepare to Evaluate

∴

d 2 = 0.08 - \frac{50000}{0.0215 \cdot 5.8E+7}

Next Step Evaluate

∴

d 2 = 0.0400006271901657m

Next Step Convert to Output's Unit

∴

d 2 = 40.0006271901657mm

LAST Step Rounding Answer

∴

d 2 = 40.0006mm

Diameter of Spigot of Cotter Joint given Compressive Stress 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

Thickness of Cotter

Thickness of Cotter is the measure of how much broad is the cotter in direction perpendicular to axial force.

Symbol: t_c

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Thickness of Cotter

Compressive Stress in Spigot

Compressive Stress in Spigot is the amount of stress generated into the spigot due to the compressive force on it.

Symbol: σ_c1

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Compressive 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 Shear Stress in Spigot

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

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 Compressive Stress?

Diameter of Spigot of Cotter Joint given Compressive Stress evaluator uses Diameter of Spigot = Diameter of Socket Collar-(Load on Cotter Joint)/(Thickness of Cotter*Compressive Stress in Spigot) to evaluate the Diameter of Spigot, The Diameter of spigot of cotter joint given compressive stress is the required diameter of the spigot of a cotter joint when a crushing force acts onto the spigot. Diameter of Spigot is denoted by d₂ symbol.

How to evaluate Diameter of Spigot of Cotter Joint given Compressive Stress using this online evaluator? To use this online evaluator for Diameter of Spigot of Cotter Joint given Compressive Stress, enter Diameter of Socket Collar (d₄), Load on Cotter Joint (L), Thickness of Cotter (t_c) & Compressive Stress in Spigot (σ_c1) and hit the calculate button.

FAQs on Diameter of Spigot of Cotter Joint given Compressive Stress

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

The formula of Diameter of Spigot of Cotter Joint given Compressive Stress is expressed as Diameter of Spigot = Diameter of Socket Collar-(Load on Cotter Joint)/(Thickness of Cotter*Compressive Stress in Spigot). Here is an example- 61226.1 = 0.08-(50000)/(0.021478*58200000).

How to calculate Diameter of Spigot of Cotter Joint given Compressive Stress?

With Diameter of Socket Collar (d₄), Load on Cotter Joint (L), Thickness of Cotter (t_c) & Compressive Stress in Spigot (σ_c1) we can find Diameter of Spigot of Cotter Joint given Compressive Stress using the formula - Diameter of Spigot = Diameter of Socket Collar-(Load on Cotter Joint)/(Thickness of Cotter*Compressive 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=(Load on Cotter Joint)/(2*Gap between End of Slot to End of Spigot*Shear 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 Compressive Stress be negative?

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

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

Diameter of Spigot of Cotter Joint given Compressive Stress 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 Compressive Stress can be measured.

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Diameter of Spigot of Cotter Joint given Compressive Stress 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

Diameter of Spigot of Cotter Joint given Compressive Stress Example

Diameter of Spigot of Cotter Joint given Compressive Stress Solution

Diameter of Spigot of Cotter Joint given Compressive Stress 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 Compressive Stress?

FAQs on Diameter of Spigot of Cotter Joint given Compressive Stress

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