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Width of Cotter by Bending Consideration Formula

GoWidth of Cotter by Shear Consideration Formula

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

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

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

Width of Cotter by Bending Consideration Example

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Here is how the Width of Cotter by Bending Consideration equation looks like with Values.

Here is how the Width of Cotter by Bending Consideration equation looks like with Units.

Here is how the Width of Cotter by Bending Consideration equation looks like.

34.4636 = {(3 \cdot \frac{50000}{21.478 \cdot 98} \cdot (\frac{40}{4} + \frac{80 - 40}{6}))}^{0.5}

34.4636mm = {(3 \cdot \frac{50000N}{21.478mm \cdot 98N/mm²} \cdot (\frac{40mm}{4} + \frac{80mm - 40mm}{6}))}^{0.5}

34.4636 = {(3 \cdot \frac{50000}{21.478 \cdot 98} \cdot (\frac{40}{4} + \frac{80 - 40}{6}))}^{0.5}

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Width of Cotter by Bending Consideration Solution

Follow our step by step solution on how to calculate Width of Cotter by Bending Consideration?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

b = {(3 \cdot \frac{50000N}{21.478mm \cdot 98N/mm²} \cdot (\frac{40mm}{4} + \frac{80mm - 40mm}{6}))}^{0.5}

Next Step Convert Units

∴

b = {(3 \cdot \frac{50000N}{0.0215m \cdot 9.8E+7Pa} \cdot (\frac{0.04m}{4} + \frac{0.08m - 0.04m}{6}))}^{0.5}

Next Step Prepare to Evaluate

∴

b = {(3 \cdot \frac{50000}{0.0215 \cdot 9.8E+7} \cdot (\frac{0.04}{4} + \frac{0.08 - 0.04}{6}))}^{0.5}

Next Step Evaluate

∴

b = 0.0344635528977039m

Next Step Convert to Output's Unit

∴

b = 34.4635528977039mm

LAST Step Rounding Answer

∴

b = 34.4636mm

Width of Cotter by Bending Consideration Formula Elements

Variables

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

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

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

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

Other Formulas to find Mean Width of Cotter

Go Width of Cotter by Shear Consideration

b = \frac{V}{2 \cdot τ co \cdot t c}

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 Width of Cotter by Bending Consideration?

Width of Cotter by Bending Consideration evaluator uses Mean Width of Cotter = (3*Load on Cotter Joint/(Thickness of Cotter*Bending Stress in Cotter)*(Diameter of Spigot/4+(Diameter of Socket Collar-Diameter of Spigot)/6))^0.5 to evaluate the Mean Width of Cotter, The Width of cotter by bending consideration is the mean width of cotter of a cotter joint considering bending failure of the cotter. Mean Width of Cotter is denoted by b symbol.

How to evaluate Width of Cotter by Bending Consideration using this online evaluator? To use this online evaluator for Width of Cotter by Bending Consideration, enter Load on Cotter Joint (L), Thickness of Cotter (t_c), Bending Stress in Cotter (σ_b), Diameter of Spigot (d₂) & Diameter of Socket Collar (d₄) and hit the calculate button.

FAQs on Width of Cotter by Bending Consideration

What is the formula to find Width of Cotter by Bending Consideration?

The formula of Width of Cotter by Bending Consideration is expressed as Mean Width of Cotter = (3*Load on Cotter Joint/(Thickness of Cotter*Bending Stress in Cotter)*(Diameter of Spigot/4+(Diameter of Socket Collar-Diameter of Spigot)/6))^0.5. Here is an example- 39560.63 = (3*50000/(0.021478*98000000)*(0.04/4+(0.08-0.04)/6))^0.5.

How to calculate Width of Cotter by Bending Consideration?

With Load on Cotter Joint (L), Thickness of Cotter (t_c), Bending Stress in Cotter (σ_b), Diameter of Spigot (d₂) & Diameter of Socket Collar (d₄) we can find Width of Cotter by Bending Consideration using the formula - Mean Width of Cotter = (3*Load on Cotter Joint/(Thickness of Cotter*Bending Stress in Cotter)*(Diameter of Spigot/4+(Diameter of Socket Collar-Diameter of Spigot)/6))^0.5.

What are the other ways to Calculate Mean Width of Cotter?

Here are the different ways to Calculate Mean Width of Cotter-

Mean Width of Cotter=Shear Force on Cotter/(2*Shear Stress in Cotter*Thickness of Cotter)

Can the Width of Cotter by Bending Consideration be negative?

No, the Width of Cotter by Bending Consideration, measured in Length cannot be negative.

Which unit is used to measure Width of Cotter by Bending Consideration?

Width of Cotter by Bending Consideration is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Width of Cotter by Bending Consideration can be measured.

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Width of Cotter by Bending Consideration Formula

​GoWidth of Cotter by Shear Consideration Formula

Width of Cotter by Bending Consideration Example

Width of Cotter by Bending Consideration Solution

Width of Cotter by Bending Consideration Formula Elements

Other Formulas to find Mean Width of Cotter

Other formulas in Joint Geometry and Dimensions category

How to Evaluate Width of Cotter by Bending Consideration?

FAQs on Width of Cotter by Bending Consideration

Variable Name

GoWidth of Cotter by Shear Consideration Formula