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Load Taken by Socket of Cotter Joint given Tensile Stress in Socket Formula

GoMaximum Load taken by Cotter Joint given Spigot Diameter, Thickness and Stress Formula

GoLoad Taken by Cotter Joint Rod given Tensile Stress in Rod Formula

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Load on cotter joint is basically the amount of load/force any part or joint, can bear or is acted upon or exerts. Check FAQs

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

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

Load Taken by Socket of Cotter Joint given Tensile Stress in Socket Example

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Here is how the Load Taken by Socket of Cotter Joint given Tensile Stress in Socket equation looks like with Values.

Here is how the Load Taken by Socket of Cotter Joint given Tensile Stress in Socket equation looks like with Units.

Here is how the Load Taken by Socket of Cotter Joint given Tensile Stress in Socket equation looks like.

50000.8227 = 68.224 \cdot (\frac{3.1416}{4} \cdot (54^{2} - 40^{2}) - 21.478 \cdot (54 - 40))

50000.8227N = 68.224N/mm² \cdot (\frac{3.1416}{4} \cdot ({54mm}^{2} - {40mm}^{2}) - 21.478mm \cdot (54mm - 40mm))

50000.8227 = 68.224 \cdot (\frac{3.1416}{4} \cdot (54^{2} - 40^{2}) - 21.478 \cdot (54 - 40))

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Design of Machine Elements » fx Load Taken by Socket of Cotter Joint given Tensile Stress in Socket

Load Taken by Socket of Cotter Joint given Tensile Stress in Socket Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

L = 68.224N/mm² \cdot (\frac{π}{4} \cdot ({54mm}^{2} - {40mm}^{2}) - 21.478mm \cdot (54mm - 40mm))

Next Step Substitute values of Constants

∴

L = 68.224N/mm² \cdot (\frac{3.1416}{4} \cdot ({54mm}^{2} - {40mm}^{2}) - 21.478mm \cdot (54mm - 40mm))

Next Step Convert Units

∴

L = 6.8E+7Pa \cdot (\frac{3.1416}{4} \cdot ({0.054m}^{2} - {0.04m}^{2}) - 0.0215m \cdot (0.054m - 0.04m))

Next Step Prepare to Evaluate

∴

L = 6.8E+7 \cdot (\frac{3.1416}{4} \cdot ({0.054}^{2} - {0.04}^{2}) - 0.0215 \cdot (0.054 - 0.04))

Next Step Evaluate

∴

L = 50000.8226503098N

LAST Step Rounding Answer

∴

L = 50000.8227N

Load Taken by Socket of Cotter Joint given Tensile Stress in Socket Formula Elements

Variables

Constants

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

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

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 Load on Cotter Joint

Go Maximum Load taken by Cotter Joint given Spigot Diameter, Thickness and Stress

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

Go Load Taken by Cotter Joint Rod given Tensile Stress in Rod

L = \frac{π \cdot d^{2} \cdot σt rod}{4}

Go Force on Cotter given Shear Stress in Cotter

L = 2 \cdot t c \cdot b \cdot τ co

Go Load Taken by Spigot of Cotter Joint given Shear Stress in Spigot

L = 2 \cdot L a \cdot d 2 \cdot τ sp

Other formulas in Forces and Loads on Joint category

Go Permissible Shear Stress for Cotter

𝜏 p = \frac{P}{2 \cdot b \cdot t c}

Go Permissible Shear Stress for Spigot

𝜏 p = \frac{P}{2 \cdot a \cdot d ex}

Go Tensile Stress in Spigot

σ t = \frac{P}{(\frac{π}{4} \cdot {d ex}^{2}) - (d ex \cdot t c)}

How to Evaluate Load Taken by Socket of Cotter Joint given Tensile Stress in Socket?

Load Taken by Socket of Cotter Joint given Tensile Stress in Socket evaluator uses Load on Cotter Joint = Tensile Stress In 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 Load on Cotter Joint, The Load taken by socket of cotter joint given tensile stress in socket is the amount of shearing force beared by the socket of the cotter joint at particular shear stress generated in it. Load on Cotter Joint is denoted by L symbol.

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

FAQs on Load Taken by Socket of Cotter Joint given Tensile Stress in Socket

What is the formula to find Load Taken by Socket of Cotter Joint given Tensile Stress in Socket?

The formula of Load Taken by Socket of Cotter Joint given Tensile Stress in Socket is expressed as Load on Cotter Joint = Tensile Stress In 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- 31367.78 = 68224000*(pi/4*(0.054^2-0.04^2)-0.021478*(0.054-0.04)).

How to calculate Load Taken by Socket of Cotter Joint given Tensile Stress in Socket?

With Tensile Stress In Socket (σ_tso), Outside Diameter of Socket (d₁), Diameter of Spigot (d₂) & Thickness of Cotter (t_c) we can find Load Taken by Socket of Cotter Joint given Tensile Stress in Socket using the formula - Load on Cotter Joint = Tensile Stress In 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 Load on Cotter Joint?

Here are the different ways to Calculate Load on Cotter Joint-

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

Can the Load Taken by Socket of Cotter Joint given Tensile Stress in Socket be negative?

No, the Load Taken by Socket of Cotter Joint given Tensile Stress in Socket, measured in Force cannot be negative.

Which unit is used to measure Load Taken by Socket of Cotter Joint given Tensile Stress in Socket?

Load Taken by Socket of Cotter Joint given Tensile Stress in Socket is usually measured using the Newton[N] for Force. Exanewton[N], Meganewton[N], Kilonewton[N] are the few other units in which Load Taken by Socket of Cotter Joint given Tensile Stress in Socket can be measured.

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Load Taken by Socket of Cotter Joint given Tensile Stress in Socket Formula

​GoMaximum Load taken by Cotter Joint given Spigot Diameter, Thickness and Stress Formula

​GoLoad Taken by Cotter Joint Rod given Tensile Stress in Rod Formula

Load Taken by Socket of Cotter Joint given Tensile Stress in Socket Example

Load Taken by Socket of Cotter Joint given Tensile Stress in Socket Solution

Load Taken by Socket of Cotter Joint given Tensile Stress in Socket Formula Elements

Other Formulas to find Load on Cotter Joint

Other formulas in Forces and Loads on Joint category

How to Evaluate Load Taken by Socket of Cotter Joint given Tensile Stress in Socket?

FAQs on Load Taken by Socket of Cotter Joint given Tensile Stress in Socket

Variable Name

GoMaximum Load taken by Cotter Joint given Spigot Diameter, Thickness and Stress Formula

GoLoad Taken by Cotter Joint Rod given Tensile Stress in Rod Formula