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Cross Section Area of Socket of Cotter Joint Prone to Failure Formula

GoCross Section Area of Socket End Resisting Shear Failure Formula

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Cross Sectional Area of Socket is the area of a two-dimensional shape that is obtained when a socket is sliced perpendicular to some specified axis at a point. Check FAQs

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

A - Cross Sectional Area of Socket?d₁ - Outside Diameter of Socket?d₂ - Diameter of Spigot?t_c - Thickness of Cotter?π - Archimedes' constant?

Cross Section Area of Socket of Cotter Joint Prone to Failure Example

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Here is how the Cross Section Area of Socket of Cotter Joint Prone to Failure equation looks like with Values.

Here is how the Cross Section Area of Socket of Cotter Joint Prone to Failure equation looks like with Units.

Here is how the Cross Section Area of Socket of Cotter Joint Prone to Failure equation looks like.

732.892 = \frac{3.1416}{4} \cdot (54^{2} - 40^{2}) - 21.478 \cdot (54 - 40)

732.892mm² = \frac{3.1416}{4} \cdot ({54mm}^{2} - {40mm}^{2}) - 21.478mm \cdot (54mm - 40mm)

732.892 = \frac{3.1416}{4} \cdot (54^{2} - 40^{2}) - 21.478 \cdot (54 - 40)

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Cross Section Area of Socket of Cotter Joint Prone to Failure Solution

Follow our step by step solution on how to calculate Cross Section Area of Socket of Cotter Joint Prone to Failure?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

A = \frac{π}{4} \cdot ({54mm}^{2} - {40mm}^{2}) - 21.478mm \cdot (54mm - 40mm)

Next Step Substitute values of Constants

∴

A = \frac{3.1416}{4} \cdot ({54mm}^{2} - {40mm}^{2}) - 21.478mm \cdot (54mm - 40mm)

Next Step Convert Units

∴

A = \frac{3.1416}{4} \cdot ({0.054m}^{2} - {0.04m}^{2}) - 0.0215m \cdot (0.054m - 0.04m)

Next Step Prepare to Evaluate

∴

A = \frac{3.1416}{4} \cdot ({0.054}^{2} - {0.04}^{2}) - 0.0215 \cdot (0.054 - 0.04)

Next Step Evaluate

∴

A = 0.000732891983031042m²

Next Step Convert to Output's Unit

∴

A = 732.891983031042mm²

LAST Step Rounding Answer

∴

A = 732.892mm²

Cross Section Area of Socket of Cotter Joint Prone to Failure Formula Elements

Variables

Constants

Cross Sectional Area of Socket

Cross Sectional Area of Socket is the area of a two-dimensional shape that is obtained when a socket is sliced perpendicular to some specified axis at a point.

Symbol: A

Measurement: AreaUnit: mm²

Note: Value should be greater than 0.

Formulas to find Cross Sectional Area of Socket

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

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

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 Cross Sectional Area of Socket

Go Cross Section Area of Socket End Resisting Shear Failure

A = (d 4 - d 2) \cdot 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 Cross Section Area of Socket of Cotter Joint Prone to Failure?

Cross Section Area of Socket of Cotter Joint Prone to Failure evaluator uses Cross Sectional Area of Socket = pi/4*(Outside Diameter of Socket^2-Diameter of Spigot^2)-Thickness of Cotter*(Outside Diameter of Socket-Diameter of Spigot) to evaluate the Cross Sectional Area of Socket, Cross section area of socket of cotter joint prone to failure is the area of cross-section of the socket of a cotter joint which is more prone to fracture during the application of axial load. Cross Sectional Area of Socket is denoted by A symbol.

How to evaluate Cross Section Area of Socket of Cotter Joint Prone to Failure using this online evaluator? To use this online evaluator for Cross Section Area of Socket of Cotter Joint Prone to Failure, enter Outside Diameter of Socket (d₁), Diameter of Spigot (d₂) & Thickness of Cotter (t_c) and hit the calculate button.

FAQs on Cross Section Area of Socket of Cotter Joint Prone to Failure

What is the formula to find Cross Section Area of Socket of Cotter Joint Prone to Failure?

The formula of Cross Section Area of Socket of Cotter Joint Prone to Failure is expressed as Cross Sectional Area of Socket = pi/4*(Outside Diameter of Socket^2-Diameter of Spigot^2)-Thickness of Cotter*(Outside Diameter of Socket-Diameter of Spigot). Here is an example- 8.1E+8 = pi/4*(0.054^2-0.04^2)-0.021478*(0.054-0.04).

How to calculate Cross Section Area of Socket of Cotter Joint Prone to Failure?

With Outside Diameter of Socket (d₁), Diameter of Spigot (d₂) & Thickness of Cotter (t_c) we can find Cross Section Area of Socket of Cotter Joint Prone to Failure using the formula - Cross Sectional Area of Socket = pi/4*(Outside Diameter of Socket^2-Diameter of Spigot^2)-Thickness of Cotter*(Outside Diameter of Socket-Diameter of Spigot). This formula also uses Archimedes' constant .

What are the other ways to Calculate Cross Sectional Area of Socket?

Here are the different ways to Calculate Cross Sectional Area of Socket-

Cross Sectional Area of Socket=(Diameter of Socket Collar-Diameter of Spigot)*Axial Distance From Slot to End of Socket Collar

Can the Cross Section Area of Socket of Cotter Joint Prone to Failure be negative?

No, the Cross Section Area of Socket of Cotter Joint Prone to Failure, measured in Area cannot be negative.

Which unit is used to measure Cross Section Area of Socket of Cotter Joint Prone to Failure?

Cross Section Area of Socket of Cotter Joint Prone to Failure is usually measured using the Square Millimeter[mm²] for Area. Square Meter[mm²], Square Kilometer[mm²], Square Centimeter[mm²] are the few other units in which Cross Section Area of Socket of Cotter Joint Prone to Failure can be measured.

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Cross Section Area of Socket of Cotter Joint Prone to Failure Formula

​GoCross Section Area of Socket End Resisting Shear Failure Formula

Cross Section Area of Socket of Cotter Joint Prone to Failure Example

Cross Section Area of Socket of Cotter Joint Prone to Failure Solution

Cross Section Area of Socket of Cotter Joint Prone to Failure Formula Elements

Other Formulas to find Cross Sectional Area of Socket

Other formulas in Joint Geometry and Dimensions category

How to Evaluate Cross Section Area of Socket of Cotter Joint Prone to Failure?

FAQs on Cross Section Area of Socket of Cotter Joint Prone to Failure

Variable Name

GoCross Section Area of Socket End Resisting Shear Failure Formula