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Diameter of Socket Collar of Cotter Joint given Compressive Stress Formula

GoDiameter of Socket Collar given Rod Diameter Formula

GoDiameter of socket collar of cotter joint given shear stress in socket Formula

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Diameter of socket collar is the external diameter of collar of the socket of a cotter joint. Check FAQs

d 4 = d 2 + \frac{L}{t c \cdot σ c1}

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

Diameter of Socket Collar of Cotter Joint given Compressive Stress Example

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

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

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

79.9994 = 40 + \frac{50000}{21.478 \cdot 58.2}

79.9994mm = 40mm + \frac{50000N}{21.478mm \cdot 58.2N/mm²}

79.9994 = 40 + \frac{50000}{21.478 \cdot 58.2}

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Diameter of Socket Collar of Cotter Joint given Compressive Stress Solution

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

FIRST Step Consider the formula

d 4 = d 2 + \frac{L}{t c \cdot σ c1}

Next Step Substitute values of Variables

∴

d 4 = 40mm + \frac{50000N}{21.478mm \cdot 58.2N/mm²}

Next Step Convert Units

∴

d 4 = 0.04m + \frac{50000N}{0.0215m \cdot 5.8E+7Pa}

Next Step Prepare to Evaluate

∴

d 4 = 0.04 + \frac{50000}{0.0215 \cdot 5.8E+7}

Next Step Evaluate

∴

d 4 = 0.0799993728098343m

Next Step Convert to Output's Unit

∴

d 4 = 79.9993728098343mm

LAST Step Rounding Answer

∴

d 4 = 79.9994mm

Diameter of Socket Collar of Cotter Joint given Compressive Stress Formula Elements

Variables

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

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

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 Socket Collar

Go Diameter of Socket Collar given Rod Diameter

d 4 = 2.4 \cdot d

Go Diameter of socket collar of cotter joint given shear stress in socket

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

Go Diameter of Socket Collar of Cotter Joint given Bending Stress in Cotter

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

Other formulas in Joint Geometry and Dimensions category

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 Collar given Rod Diameter

d 3 = 1.5 \cdot d

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}

How to Evaluate Diameter of Socket Collar of Cotter Joint given Compressive Stress?

Diameter of Socket Collar of Cotter Joint given Compressive Stress evaluator uses Diameter of Socket Collar = Diameter of Spigot+(Load on Cotter Joint)/(Thickness of Cotter*Compressive Stress in Spigot) to evaluate the Diameter of Socket Collar, The Diameter of socket collar of cotter joint given compressive stress is defined as diameter of collar of the socket of a cotter joint when the socket is subjected to crushing stress. Diameter of Socket Collar is denoted by d₄ symbol.

How to evaluate Diameter of Socket Collar of Cotter Joint given Compressive Stress using this online evaluator? To use this online evaluator for Diameter of Socket Collar of Cotter Joint given Compressive Stress, enter Diameter of Spigot (d₂), 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 Socket Collar of Cotter Joint given Compressive Stress

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

The formula of Diameter of Socket Collar of Cotter Joint given Compressive Stress is expressed as Diameter of Socket Collar = Diameter of Spigot+(Load on Cotter Joint)/(Thickness of Cotter*Compressive Stress in Spigot). Here is an example- 58773.9 = 0.04+(50000)/(0.021478*58200000).

How to calculate Diameter of Socket Collar of Cotter Joint given Compressive Stress?

With Diameter of Spigot (d₂), Load on Cotter Joint (L), Thickness of Cotter (t_c) & Compressive Stress in Spigot (σ_c1) we can find Diameter of Socket Collar of Cotter Joint given Compressive Stress using the formula - Diameter of Socket Collar = Diameter of Spigot+(Load on Cotter Joint)/(Thickness of Cotter*Compressive Stress in Spigot).

What are the other ways to Calculate Diameter of Socket Collar?

Here are the different ways to Calculate Diameter of Socket Collar-

Diameter of Socket Collar=2.4*Diameter of Rod of Cotter Joint
Diameter of Socket Collar=(Load on Cotter Joint)/(2*Axial Distance From Slot to End of Socket Collar*Shear Stress in Socket)+Diameter of Spigot
Diameter of Socket Collar=(4*Mean Width of Cotter^2*Bending Stress in Cotter*(Thickness of Cotter)/Load on Cotter Joint-Diameter of Spigot)/2

Can the Diameter of Socket Collar of Cotter Joint given Compressive Stress be negative?

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

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

Diameter of Socket Collar 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 Socket Collar of Cotter Joint given Compressive Stress can be measured.

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Diameter of Socket Collar of Cotter Joint given Compressive Stress Formula

​GoDiameter of Socket Collar given Rod Diameter Formula

​GoDiameter of socket collar of cotter joint given shear stress in socket Formula

Diameter of Socket Collar of Cotter Joint given Compressive Stress Example

Diameter of Socket Collar of Cotter Joint given Compressive Stress Solution

Diameter of Socket Collar of Cotter Joint given Compressive Stress Formula Elements

Other Formulas to find Diameter of Socket Collar

Other formulas in Joint Geometry and Dimensions category

How to Evaluate Diameter of Socket Collar of Cotter Joint given Compressive Stress?

FAQs on Diameter of Socket Collar of Cotter Joint given Compressive Stress

Variable Name

GoDiameter of Socket Collar given Rod Diameter Formula

GoDiameter of socket collar of cotter joint given shear stress in socket Formula