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Thickness of Cotter Joint given Bending Stress in Cotter Formula

GoThickness of Cotter Joint Formula

GoThickness of Cotter given Tensile Stress in Socket Formula

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

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

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

Thickness of Cotter Joint given Bending Stress in Cotter Example

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

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

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

10.845 = (2 \cdot 80 + 40) \cdot (\frac{50000}{4 \cdot {48.5}^{2} \cdot 98})

10.845mm = (2 \cdot 80mm + 40mm) \cdot (\frac{50000N}{4 \cdot {48.5mm}^{2} \cdot 98N/mm²})

10.845 = (2 \cdot 80 + 40) \cdot (\frac{50000}{4 \cdot {48.5}^{2} \cdot 98})

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Thickness of Cotter Joint given Bending Stress in Cotter Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

t c = (2 \cdot 80mm + 40mm) \cdot (\frac{50000N}{4 \cdot {48.5mm}^{2} \cdot 98N/mm²})

Next Step Convert Units

∴

t c = (2 \cdot 0.08m + 0.04m) \cdot (\frac{50000N}{4 \cdot {0.0485m}^{2} \cdot 9.8E+7Pa})

Next Step Prepare to Evaluate

∴

t c = (2 \cdot 0.08 + 0.04) \cdot (\frac{50000}{4 \cdot {0.0485}^{2} \cdot 9.8E+7})

Next Step Evaluate

∴

t c = 0.0108450224600415m

Next Step Convert to Output's Unit

∴

t c = 10.8450224600415mm

LAST Step Rounding Answer

∴

t c = 10.845mm

Thickness of Cotter Joint given Bending Stress in Cotter Formula Elements

Variables

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

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

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

Other Formulas to find Thickness of Cotter

Go Thickness of Cotter Joint

t c = 0.31 \cdot d

Go Thickness of Cotter given Tensile Stress in Socket

t c = \frac{(\frac{π}{4} \cdot ({d 1}^{2} - {d 2}^{2})) - \frac{F c}{σ t so}}{d 1 - d 2}

Go Thickness of Cotter given Shear Stress in Cotter

t c = \frac{L}{2 \cdot τ co \cdot b}

Go Thickness of Cotter given Compressive Stress in Spigot

t c = \frac{L}{σ c1 \cdot d 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 Thickness of Cotter Joint given Bending Stress in Cotter?

Thickness of Cotter Joint given Bending Stress in Cotter evaluator uses Thickness of Cotter = (2*Diameter of Socket Collar+Diameter of Spigot)*((Load on Cotter Joint)/(4*Mean Width of Cotter^2*Bending Stress in Cotter)) to evaluate the Thickness of Cotter, Thickness of cotter joint given bending stress in cotter is the required thickness of the cotter of a cotter joint when a bending moment acts onto the cotter. Thickness of Cotter is denoted by t_c symbol.

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

FAQs on Thickness of Cotter Joint given Bending Stress in Cotter

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

The formula of Thickness of Cotter Joint given Bending Stress in Cotter is expressed as Thickness of Cotter = (2*Diameter of Socket Collar+Diameter of Spigot)*((Load on Cotter Joint)/(4*Mean Width of Cotter^2*Bending Stress in Cotter)). Here is an example- 10845.02 = (2*0.08+0.04)*((50000)/(4*0.0485^2*98000000)).

How to calculate Thickness of Cotter Joint given Bending Stress in Cotter?

With Diameter of Socket Collar (d₄), Diameter of Spigot (d₂), Load on Cotter Joint (L), Mean Width of Cotter (b) & Bending Stress in Cotter (σ_b) we can find Thickness of Cotter Joint given Bending Stress in Cotter using the formula - Thickness of Cotter = (2*Diameter of Socket Collar+Diameter of Spigot)*((Load on Cotter Joint)/(4*Mean Width of Cotter^2*Bending Stress in Cotter)).

What are the other ways to Calculate Thickness of Cotter?

Here are the different ways to Calculate Thickness of Cotter-

Thickness of Cotter=0.31*Diameter of Rod of Cotter Joint
Thickness of Cotter=((pi/4*(Outside Diameter of Socket^2-Diameter of Spigot^2))-(Force on Cotter Joint)/Tensile Stress In Socket)/(Outside Diameter of Socket-Diameter of Spigot)
Thickness of Cotter=(Load on Cotter Joint)/(2*Shear Stress in Cotter*Mean Width of Cotter)

Can the Thickness of Cotter Joint given Bending Stress in Cotter be negative?

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

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

Thickness 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 Thickness of Cotter Joint given Bending Stress in Cotter can be measured.

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Thickness of Cotter Joint given Bending Stress in Cotter Formula

​GoThickness of Cotter Joint Formula

​GoThickness of Cotter given Tensile Stress in Socket Formula

Thickness of Cotter Joint given Bending Stress in Cotter Example

Thickness of Cotter Joint given Bending Stress in Cotter Solution

Thickness of Cotter Joint given Bending Stress in Cotter Formula Elements

Other Formulas to find Thickness of Cotter

Other formulas in Joint Geometry and Dimensions category

How to Evaluate Thickness of Cotter Joint given Bending Stress in Cotter?

FAQs on Thickness of Cotter Joint given Bending Stress in Cotter

Variable Name

GoThickness of Cotter Joint Formula

GoThickness of Cotter given Tensile Stress in Socket Formula