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Width of Cotter by Shear Consideration Formula

GoWidth of Cotter by Bending 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 = \frac{V}{2 \cdot τ co \cdot t c}

b - Mean Width of Cotter?V - Shear Force on Cotter?τ_co - Shear Stress in Cotter?t_c - Thickness of Cotter?

Width of Cotter by Shear Consideration Example

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

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

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

23.0856 = \frac{23800}{2 \cdot 24 \cdot 21.478}

23.0856mm = \frac{23800N}{2 \cdot 24N/mm² \cdot 21.478mm}

23.0856 = \frac{23800}{2 \cdot 24 \cdot 21.478}

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Width of Cotter by Shear Consideration Solution

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

FIRST Step Consider the formula

b = \frac{V}{2 \cdot τ co \cdot t c}

Next Step Substitute values of Variables

∴

b = \frac{23800N}{2 \cdot 24N/mm² \cdot 21.478mm}

Next Step Convert Units

∴

b = \frac{23800N}{2 \cdot 2.4E+7Pa \cdot 0.0215m}

Next Step Prepare to Evaluate

∴

b = \frac{23800}{2 \cdot 2.4E+7 \cdot 0.0215}

Next Step Evaluate

∴

b = 0.0230856380171959m

Next Step Convert to Output's Unit

∴

b = 23.0856380171959mm

LAST Step Rounding Answer

∴

b = 23.0856mm

Width of Cotter by Shear 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

Shear Force on Cotter

Shear Force on Cotter can be described as a force acting in a direction that's parallel to (over the top of) a surface or cross-section of a cotter.

Symbol: V

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Shear Force on Cotter

Shear Stress in Cotter

Shear Stress in Cotter is the amount of stress (cause deformation by slippage along a plane parallel to the imposed stress) generated into the cotter due to the shear force acting on it.

Symbol: τ_co

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Shear 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

Other Formulas to find Mean Width of Cotter

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}

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 Shear Consideration?

Width of Cotter by Shear Consideration evaluator uses Mean Width of Cotter = Shear Force on Cotter/(2*Shear Stress in Cotter*Thickness of Cotter) to evaluate the Mean Width of Cotter, The Width of cotter by shear consideration is the mean width of cotter of a cotter joint considering shearing failure of the cotter. Mean Width of Cotter is denoted by b symbol.

How to evaluate Width of Cotter by Shear Consideration using this online evaluator? To use this online evaluator for Width of Cotter by Shear Consideration, enter Shear Force on Cotter (V), Shear Stress in Cotter (τ_co) & Thickness of Cotter (t_c) and hit the calculate button.

FAQs on Width of Cotter by Shear Consideration

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

The formula of Width of Cotter by Shear Consideration is expressed as Mean Width of Cotter = Shear Force on Cotter/(2*Shear Stress in Cotter*Thickness of Cotter). Here is an example- 30419.22 = 23800/(2*24000000*0.021478).

How to calculate Width of Cotter by Shear Consideration?

With Shear Force on Cotter (V), Shear Stress in Cotter (τ_co) & Thickness of Cotter (t_c) we can find Width of Cotter by Shear Consideration using the formula - Mean Width of Cotter = Shear Force on Cotter/(2*Shear Stress in Cotter*Thickness of Cotter).

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=(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

Can the Width of Cotter by Shear Consideration be negative?

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

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

Width of Cotter by Shear 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 Shear Consideration can be measured.

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Width of Cotter by Shear Consideration Formula

​GoWidth of Cotter by Bending Consideration Formula

Width of Cotter by Shear Consideration Example

Width of Cotter by Shear Consideration Solution

Width of Cotter by Shear 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 Shear Consideration?

FAQs on Width of Cotter by Shear Consideration

Variable Name

GoWidth of Cotter by Bending Consideration Formula