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Diameter of Spigot of Cotter Joint given Bending Stress in Cotter 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 = 4 \cdot b^{2} \cdot σ b \cdot \frac{t c}{L} - 2 \cdot d 4

d₂ - Diameter of Spigot?b - Mean Width of Cotter?σ_b - Bending Stress in Cotter?t_c - Thickness of Cotter?L - Load on Cotter Joint?d₄ - Diameter of Socket Collar?

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

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

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

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

236.0895 = 4 \cdot {48.5}^{2} \cdot 98 \cdot \frac{21.478}{50000} - 2 \cdot 80

236.0895mm = 4 \cdot {48.5mm}^{2} \cdot 98N/mm² \cdot \frac{21.478mm}{50000N} - 2 \cdot 80mm

236.0895 = 4 \cdot {48.5}^{2} \cdot 98 \cdot \frac{21.478}{50000} - 2 \cdot 80

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

d 2 = 4 \cdot {48.5mm}^{2} \cdot 98N/mm² \cdot \frac{21.478mm}{50000N} - 2 \cdot 80mm

Next Step Convert Units

∴

d 2 = 4 \cdot {0.0485m}^{2} \cdot 9.8E+7Pa \cdot \frac{0.0215m}{50000N} - 2 \cdot 0.08m

Next Step Prepare to Evaluate

∴

d 2 = 4 \cdot {0.0485}^{2} \cdot 9.8E+7 \cdot \frac{0.0215}{50000} - 2 \cdot 0.08

Next Step Evaluate

∴

d 2 = 0.23608954392m

Next Step Convert to Output's Unit

∴

d 2 = 236.08954392mm

LAST Step Rounding Answer

∴

d 2 = 236.0895mm

Diameter of Spigot of Cotter Joint given Bending Stress in Cotter 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

Mean Width of Cotter

The mean Width of Cotter is defined as the average width of the cotter of a cotter joint.

Symbol: b

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Mean Width of Cotter

Bending Stress in Cotter

Bending Stress in Cotter is defined as the stress that is induced in the cotter subjected to loads that cause it to bend.

Symbol: σ_b

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Bending Stress in Cotter

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

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

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

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 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 Bending Stress in Cotter?

Diameter of Spigot of Cotter Joint given Bending Stress in Cotter evaluator uses 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 to evaluate the Diameter of Spigot, Diameter of spigot of cotter joint given bending stress in cotter is the required diameter of the spigot of the cotter joint when a bending moment acts onto the cotter. Diameter of Spigot is denoted by d₂ symbol.

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

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

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

The formula of Diameter of Spigot of Cotter Joint given Bending Stress in Cotter is expressed as 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. Here is an example- 140598.7 = 4*0.0485^2*98000000*(0.021478)/50000-2*0.08.

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

With Mean Width of Cotter (b), Bending Stress in Cotter (σ_b), Thickness of Cotter (t_c), Load on Cotter Joint (L) & Diameter of Socket Collar (d₄) we can find Diameter of Spigot of Cotter Joint given Bending Stress in Cotter using the formula - 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.

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 Diameter of Spigot of Cotter Joint given Bending Stress in Cotter be negative?

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

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

Diameter of Spigot of Cotter Joint given Bending Stress in Cotter 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 Bending Stress in Cotter can be measured.

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

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

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

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

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