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Load Taken by Spigot of Cotter Joint given Shear Stress in Spigot 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 L a \cdot d 2 \cdot τ sp

L - Load on Cotter Joint?L_a - Gap between End of Slot to End of Spigot?d₂ - Diameter of Spigot?τ_sp - Shear Stress in Spigot?

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

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

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

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

50000.48 = 2 \cdot 23.5 \cdot 40 \cdot 26.596

50000.48N = 2 \cdot 23.5mm \cdot 40mm \cdot 26.596N/mm²

50000.48 = 2 \cdot 23.5 \cdot 40 \cdot 26.596

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

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

FIRST Step Consider the formula

L = 2 \cdot L a \cdot d 2 \cdot τ sp

Next Step Substitute values of Variables

∴

L = 2 \cdot 23.5mm \cdot 40mm \cdot 26.596N/mm²

Next Step Convert Units

∴

L = 2 \cdot 0.0235m \cdot 0.04m \cdot 2.7E+7Pa

Next Step Prepare to Evaluate

∴

L = 2 \cdot 0.0235 \cdot 0.04 \cdot 2.7E+7

LAST Step Evaluate

∴

L = 50000.48N

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

Gap between End of Slot to End of Spigot

Gap between End of Slot to End of Spigot is the distance between the end of slot for cotter to the end of spigot opposite from its collar.

Symbol: L_a

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Gap between End of Slot to End of Spigot

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

Shear Stress in Spigot

Shear Stress in Spigot 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_sp

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Shear Stress in Spigot

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 Spigot of Cotter Joint given Shear Stress in Spigot?

Load Taken by Spigot of Cotter Joint given Shear Stress in Spigot evaluator uses Load on Cotter Joint = 2*Gap between End of Slot to End of Spigot*Diameter of Spigot*Shear Stress in Spigot to evaluate the Load on Cotter Joint, The Load taken by spigot of cotter joint given shear stress in spigot is the amount of shearing force beared by the spigot 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 Spigot of Cotter Joint given Shear Stress in Spigot using this online evaluator? To use this online evaluator for Load Taken by Spigot of Cotter Joint given Shear Stress in Spigot, enter Gap between End of Slot to End of Spigot (L_a), Diameter of Spigot (d₂) & Shear Stress in Spigot (τ_sp) and hit the calculate button.

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

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

The formula of Load Taken by Spigot of Cotter Joint given Shear Stress in Spigot is expressed as Load on Cotter Joint = 2*Gap between End of Slot to End of Spigot*Diameter of Spigot*Shear Stress in Spigot. Here is an example- 48880 = 2*0.0235*0.04*26596000.

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

With Gap between End of Slot to End of Spigot (L_a), Diameter of Spigot (d₂) & Shear Stress in Spigot (τ_sp) we can find Load Taken by Spigot of Cotter Joint given Shear Stress in Spigot using the formula - Load on Cotter Joint = 2*Gap between End of Slot to End of Spigot*Diameter of Spigot*Shear Stress in Spigot.

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 Spigot of Cotter Joint given Shear Stress in Spigot be negative?

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

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

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

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

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

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

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

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