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Thickness of Cotter given Tensile Stress in Socket Formula

GoThickness of Cotter Joint Formula

GoThickness of Cotter given Shear Stress in Cotter 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 = \frac{(\frac{π}{4} \cdot ({d 1}^{2} - {d 2}^{2})) - \frac{F c}{σ t so}}{d 1 - d 2}

t_c - Thickness of Cotter?d₁ - Outside Diameter of Socket?d₂ - Diameter of Spigot?F_c - Force on Cotter Joint?σ_tso - Tensile Stress In Socket?π - Archimedes' constant?

Thickness of Cotter given Tensile Stress in Socket Example

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

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

Here is how the Thickness of Cotter given Tensile Stress in Socket equation looks like.

68.5926 = \frac{(\frac{3.1416}{4} \cdot (54^{2} - 40^{2})) - \frac{5000}{68.224}}{54 - 40}

68.5926mm = \frac{(\frac{3.1416}{4} \cdot ({54mm}^{2} - {40mm}^{2})) - \frac{5000N}{68.224N/mm²}}{54mm - 40mm}

68.5926 = \frac{(\frac{3.1416}{4} \cdot (54^{2} - 40^{2})) - \frac{5000}{68.224}}{54 - 40}

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Thickness of Cotter given Tensile Stress in Socket Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

t c = \frac{(\frac{π}{4} \cdot ({54mm}^{2} - {40mm}^{2})) - \frac{5000N}{68.224N/mm²}}{54mm - 40mm}

Next Step Substitute values of Constants

∴

t c = \frac{(\frac{3.1416}{4} \cdot ({54mm}^{2} - {40mm}^{2})) - \frac{5000N}{68.224N/mm²}}{54mm - 40mm}

Next Step Convert Units

∴

t c = \frac{(\frac{3.1416}{4} \cdot ({0.054m}^{2} - {0.04m}^{2})) - \frac{5000N}{6.8E+7Pa}}{0.054m - 0.04m}

Next Step Prepare to Evaluate

∴

t c = \frac{(\frac{3.1416}{4} \cdot ({0.054}^{2} - {0.04}^{2})) - \frac{5000}{6.8E+7}}{0.054 - 0.04}

Next Step Evaluate

∴

t c = 0.0685925707525523m

Next Step Convert to Output's Unit

∴

t c = 68.5925707525523mm

LAST Step Rounding Answer

∴

t c = 68.5926mm

Thickness of Cotter given Tensile Stress in Socket Formula Elements

Variables

Constants

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

Outside Diameter of Socket

Outside Diameter of Socket is the diameter (twice the radius) of the outer surface of the socket.

Symbol: d₁

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Outside Diameter of Socket

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

Force on Cotter Joint

Force on Cotter Joint is basically the amount of load/force any part or joint, can bear or is acted upon or exerts.

Symbol: F_c

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Force on Cotter Joint

Tensile Stress In Socket

Tensile Stress In Socket is the amount of stress generated into the socket due to the tensile force onto it.

Symbol: σ_tso

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Tensile Stress In Socket

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other Formulas to find Thickness of Cotter

Go Thickness of Cotter Joint

t c = 0.31 \cdot d

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}

Go Thickness of Cotter given Compressive Stress in Socket

t c = \frac{L}{(d 4 - d 2) \cdot σ cso}

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 given Tensile Stress in Socket?

Thickness of Cotter given Tensile Stress in Socket evaluator uses 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) to evaluate the Thickness of Cotter, The Thickness of cotter given tensile stress in socket is the required thickness of the cotter of a cotter joint when a tensile load acts onto the socket part of the cotter joint. Thickness of Cotter is denoted by t_c symbol.

How to evaluate Thickness of Cotter given Tensile Stress in Socket using this online evaluator? To use this online evaluator for Thickness of Cotter given Tensile Stress in Socket, enter Outside Diameter of Socket (d₁), Diameter of Spigot (d₂), Force on Cotter Joint (F_c) & Tensile Stress In Socket (σ_tso) and hit the calculate button.

FAQs on Thickness of Cotter given Tensile Stress in Socket

What is the formula to find Thickness of Cotter given Tensile Stress in Socket?

The formula of Thickness of Cotter given Tensile Stress in Socket is expressed as 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). Here is an example- 65482.97 = ((pi/4*(0.054^2-0.04^2))-(5000)/68224000)/(0.054-0.04).

How to calculate Thickness of Cotter given Tensile Stress in Socket?

With Outside Diameter of Socket (d₁), Diameter of Spigot (d₂), Force on Cotter Joint (F_c) & Tensile Stress In Socket (σ_tso) we can find Thickness of Cotter given Tensile Stress in Socket using the formula - 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). This formula also uses Archimedes' constant .

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=(Load on Cotter Joint)/(2*Shear Stress in Cotter*Mean Width of Cotter)
Thickness of Cotter=(Load on Cotter Joint)/(Compressive Stress in Spigot*Diameter of Spigot)

Can the Thickness of Cotter given Tensile Stress in Socket be negative?

No, the Thickness of Cotter given Tensile Stress in Socket, measured in Length cannot be negative.

Which unit is used to measure Thickness of Cotter given Tensile Stress in Socket?

Thickness of Cotter given Tensile Stress in Socket 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 given Tensile Stress in Socket can be measured.

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Thickness of Cotter given Tensile Stress in Socket Formula

​GoThickness of Cotter Joint Formula

​GoThickness of Cotter given Shear Stress in Cotter Formula

Thickness of Cotter given Tensile Stress in Socket Example

Thickness of Cotter given Tensile Stress in Socket Solution

Thickness of Cotter given Tensile Stress in Socket Formula Elements

Other Formulas to find Thickness of Cotter

Other formulas in Joint Geometry and Dimensions category

How to Evaluate Thickness of Cotter given Tensile Stress in Socket?

FAQs on Thickness of Cotter given Tensile Stress in Socket

Variable Name

GoThickness of Cotter Joint Formula

GoThickness of Cotter given Shear Stress in Cotter Formula