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Load Taken by Socket of Cotter Joint given Shear 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 = 2 \cdot (d 4 - d 2) \cdot c \cdot τ so

L - Load on Cotter Joint?d₄ - Diameter of Socket Collar?d₂ - Diameter of Spigot?c - Axial Distance From Slot to End of Socket Collar?τ_so - Shear Stress in Socket?

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

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

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

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

50000 = 2 \cdot (80 - 40) \cdot 25 \cdot 25

50000N = 2 \cdot (80mm - 40mm) \cdot 25mm \cdot 25N/mm²

50000 = 2 \cdot (80 - 40) \cdot 25 \cdot 25

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

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

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

FIRST Step Consider the formula

L = 2 \cdot (d 4 - d 2) \cdot c \cdot τ so

Next Step Substitute values of Variables

∴

L = 2 \cdot (80mm - 40mm) \cdot 25mm \cdot 25N/mm²

Next Step Convert Units

∴

L = 2 \cdot (0.08m - 0.04m) \cdot 0.025m \cdot 2.5E+7Pa

Next Step Prepare to Evaluate

∴

L = 2 \cdot (0.08 - 0.04) \cdot 0.025 \cdot 2.5E+7

LAST Step Evaluate

∴

L = 50000N

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

Variables

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

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

Axial Distance From Slot to End of Socket Collar

Axial Distance From Slot to End of Socket Collar is the distance between the slot for cotter to the end of socket collar measured along the socket axis.

Symbol: c

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Axial Distance From Slot to End of Socket Collar

Shear Stress in Socket

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

Symbol: τ_so

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Shear Stress in Socket

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

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

Go Force on Cotter given Shear Stress in Cotter

L = 2 \cdot t c \cdot b \cdot τ co

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 Shear Stress in Socket?

Load Taken by Socket of Cotter Joint given Shear Stress in Socket evaluator uses Load on Cotter Joint = 2*(Diameter of Socket Collar-Diameter of Spigot)*Axial Distance From Slot to End of Socket Collar*Shear Stress in Socket to evaluate the Load on Cotter Joint, Load taken by socket of cotter joint given shear 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 Shear Stress in Socket using this online evaluator? To use this online evaluator for Load Taken by Socket of Cotter Joint given Shear Stress in Socket, enter Diameter of Socket Collar (d₄), Diameter of Spigot (d₂), Axial Distance From Slot to End of Socket Collar (c) & Shear Stress in Socket (τ_so) and hit the calculate button.

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

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

The formula of Load Taken by Socket of Cotter Joint given Shear Stress in Socket is expressed as Load on Cotter Joint = 2*(Diameter of Socket Collar-Diameter of Spigot)*Axial Distance From Slot to End of Socket Collar*Shear Stress in Socket. Here is an example- 44000 = 2*(0.08-0.04)*0.025*25000000.

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

With Diameter of Socket Collar (d₄), Diameter of Spigot (d₂), Axial Distance From Slot to End of Socket Collar (c) & Shear Stress in Socket (τ_so) we can find Load Taken by Socket of Cotter Joint given Shear Stress in Socket using the formula - Load on Cotter Joint = 2*(Diameter of Socket Collar-Diameter of Spigot)*Axial Distance From Slot to End of Socket Collar*Shear Stress in Socket.

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=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))

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

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

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

Load Taken by Socket of Cotter Joint given Shear 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 Shear Stress in Socket can be measured.

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

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

Load Taken by Socket of Cotter Joint given Shear 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 Shear Stress in Socket?

FAQs on Load Taken by Socket of Cotter Joint given Shear 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