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

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

GoLoad Taken by Socket of Cotter Joint given Tensile Stress in Socket 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 = (\frac{π}{4} \cdot {d 2}^{2} - d 2 \cdot t c) \cdot σ t sp

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

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

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Here is how the Maximum Load taken by Cotter Joint given Spigot Diameter, Thickness and Stress equation looks like with Values.

Here is how the Maximum Load taken by Cotter Joint given Spigot Diameter, Thickness and Stress equation looks like with Units.

Here is how the Maximum Load taken by Cotter Joint given Spigot Diameter, Thickness and Stress equation looks like.

50000.8885 = (\frac{3.1416}{4} \cdot 40^{2} - 40 \cdot 21.478) \cdot 125.783

50000.8885N = (\frac{3.1416}{4} \cdot {40mm}^{2} - 40mm \cdot 21.478mm) \cdot 125.783N/mm²

50000.8885 = (\frac{3.1416}{4} \cdot 40^{2} - 40 \cdot 21.478) \cdot 125.783

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

Follow our step by step solution on how to calculate Maximum Load taken by Cotter Joint given Spigot Diameter, Thickness and Stress?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

L = (\frac{π}{4} \cdot {40mm}^{2} - 40mm \cdot 21.478mm) \cdot 125.783N/mm²

Next Step Substitute values of Constants

∴

L = (\frac{3.1416}{4} \cdot {40mm}^{2} - 40mm \cdot 21.478mm) \cdot 125.783N/mm²

Next Step Convert Units

∴

L = (\frac{3.1416}{4} \cdot {0.04m}^{2} - 0.04m \cdot 0.0215m) \cdot 1.3E+8Pa

Next Step Prepare to Evaluate

∴

L = (\frac{3.1416}{4} \cdot {0.04}^{2} - 0.04 \cdot 0.0215) \cdot 1.3E+8

Next Step Evaluate

∴

L = 50000.888538594N

LAST Step Rounding Answer

∴

L = 50000.8885N

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

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

Tensile Stress In Spigot

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

Symbol: σ_tsp

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Tensile Stress In Spigot

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 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

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

Maximum Load taken by Cotter Joint given Spigot Diameter, Thickness and Stress evaluator uses Load on Cotter Joint = (pi/4*Diameter of Spigot^2-Diameter of Spigot*Thickness of Cotter)*Tensile Stress In Spigot to evaluate the Load on Cotter Joint, Maximum load taken by cotter joint given spigot diameter, thickness and stress is the maximum tensile force by which a cotter joined can be pulled. Load on Cotter Joint is denoted by L symbol.

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

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

What is the formula to find Maximum Load taken by Cotter Joint given Spigot Diameter, Thickness and Stress?

The formula of Maximum Load taken by Cotter Joint given Spigot Diameter, Thickness and Stress is expressed as Load on Cotter Joint = (pi/4*Diameter of Spigot^2-Diameter of Spigot*Thickness of Cotter)*Tensile Stress In Spigot. Here is an example- 18087.03 = (pi/4*0.04^2-0.04*0.021478)*125783000.

How to calculate Maximum Load taken by Cotter Joint given Spigot Diameter, Thickness and Stress?

With Diameter of Spigot (d₂), Thickness of Cotter (t_c) & Tensile Stress In Spigot (σ_tsp) we can find Maximum Load taken by Cotter Joint given Spigot Diameter, Thickness and Stress using the formula - Load on Cotter Joint = (pi/4*Diameter of Spigot^2-Diameter of Spigot*Thickness of Cotter)*Tensile Stress In 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*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))
Load on Cotter Joint=2*Thickness of Cotter*Mean Width of Cotter*Shear Stress in Cotter

Can the Maximum Load taken by Cotter Joint given Spigot Diameter, Thickness and Stress be negative?

No, the Maximum Load taken by Cotter Joint given Spigot Diameter, Thickness and Stress, measured in Force cannot be negative.

Which unit is used to measure Maximum Load taken by Cotter Joint given Spigot Diameter, Thickness and Stress?

Maximum Load taken by Cotter Joint given Spigot Diameter, Thickness and Stress is usually measured using the Newton[N] for Force. Exanewton[N], Meganewton[N], Kilonewton[N] are the few other units in which Maximum Load taken by Cotter Joint given Spigot Diameter, Thickness and Stress can be measured.

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

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

​GoLoad Taken by Socket of Cotter Joint given Tensile Stress in Socket Formula

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

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

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

Other Formulas to find Load on Cotter Joint

Other formulas in Forces and Loads on Joint category

How to Evaluate Maximum Load taken by Cotter Joint given Spigot Diameter, Thickness and Stress?

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

Variable Name

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

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