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Tensile Stress in Socket of Cotter Joint given Outer and Inner Diameter of Socket Formula

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Tensile Stress In Socket is the amount of stress generated into the socket due to the tensile force onto it. Check FAQs

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

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

Tensile Stress in Socket of Cotter Joint given Outer and Inner Diameter of Socket Example

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Here is how the Tensile Stress in Socket of Cotter Joint given Outer and Inner Diameter of Socket equation looks like with Values.

Here is how the Tensile Stress in Socket of Cotter Joint given Outer and Inner Diameter of Socket equation looks like with Units.

Here is how the Tensile Stress in Socket of Cotter Joint given Outer and Inner Diameter of Socket equation looks like.

68.2229 = \frac{50000}{\frac{3.1416}{4} \cdot (54^{2} - 40^{2}) - 21.478 \cdot (54 - 40)}

68.2229N/mm² = \frac{50000N}{\frac{3.1416}{4} \cdot ({54mm}^{2} - {40mm}^{2}) - 21.478mm \cdot (54mm - 40mm)}

68.2229 = \frac{50000}{\frac{3.1416}{4} \cdot (54^{2} - 40^{2}) - 21.478 \cdot (54 - 40)}

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Tensile Stress in Socket of Cotter Joint given Outer and Inner Diameter of Socket Solution

Follow our step by step solution on how to calculate Tensile Stress in Socket of Cotter Joint given Outer and Inner Diameter of Socket?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

σ t so = \frac{50000N}{\frac{π}{4} \cdot ({54mm}^{2} - {40mm}^{2}) - 21.478mm \cdot (54mm - 40mm)}

Next Step Substitute values of Constants

∴

σ t so = \frac{50000N}{\frac{3.1416}{4} \cdot ({54mm}^{2} - {40mm}^{2}) - 21.478mm \cdot (54mm - 40mm)}

Next Step Convert Units

∴

σ t so = \frac{50000N}{\frac{3.1416}{4} \cdot ({0.054m}^{2} - {0.04m}^{2}) - 0.0215m \cdot (0.054m - 0.04m)}

Next Step Prepare to Evaluate

∴

σ t so = \frac{50000}{\frac{3.1416}{4} \cdot ({0.054}^{2} - {0.04}^{2}) - 0.0215 \cdot (0.054 - 0.04)}

Next Step Evaluate

∴

σ t so = 68222877.5285733Pa

Next Step Convert to Output's Unit

∴

σ t so = 68.2228775285733N/mm²

LAST Step Rounding Answer

∴

σ t so = 68.2229N/mm²

Tensile Stress in Socket of Cotter Joint given Outer and Inner Diameter of Socket Formula Elements

Variables

Constants

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

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

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 in Strength and Stress category

Go Tensile Stress in Rod of Cotter Joint

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

Go Tensile Stress in Spigot of Cotter Joint given Diameter of Spigot, Thickenss of Cotter and Load

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

Go Shear Stress in Cotter given Cotter Thickness and Width

τ co = \frac{L}{2 \cdot t c \cdot b}

Go Shear Stress in Spigot of Cotter Joint given Diameter of Spigot and Load

τ sp = \frac{L}{2 \cdot L a \cdot d 2}

How to Evaluate Tensile Stress in Socket of Cotter Joint given Outer and Inner Diameter of Socket?

Tensile Stress in Socket of Cotter Joint given Outer and Inner Diameter of Socket evaluator uses Tensile Stress In Socket = Load on Cotter Joint/(pi/4*(Outside Diameter of Socket^2-Diameter of Spigot^2)-Thickness of Cotter*(Outside Diameter of Socket-Diameter of Spigot)) to evaluate the Tensile Stress In Socket, The Tensile stress in socket of cotter joint given outer and inner diameter of socket is the amount of shearing force beared by the socket of the cotter joint at particular shear stress generated in it. Tensile Stress In Socket is denoted by σ_tso symbol.

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

FAQs on Tensile Stress in Socket of Cotter Joint given Outer and Inner Diameter of Socket

What is the formula to find Tensile Stress in Socket of Cotter Joint given Outer and Inner Diameter of Socket?

The formula of Tensile Stress in Socket of Cotter Joint given Outer and Inner Diameter of Socket is expressed as Tensile Stress In Socket = Load on Cotter Joint/(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- 6.8E-5 = 50000/(pi/4*(0.054^2-0.04^2)-0.021478*(0.054-0.04)).

How to calculate Tensile Stress in Socket of Cotter Joint given Outer and Inner Diameter of Socket?

With Load on Cotter Joint (L), Outside Diameter of Socket (d₁), Diameter of Spigot (d₂) & Thickness of Cotter (t_c) we can find Tensile Stress in Socket of Cotter Joint given Outer and Inner Diameter of Socket using the formula - Tensile Stress In Socket = Load on Cotter Joint/(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 .

Can the Tensile Stress in Socket of Cotter Joint given Outer and Inner Diameter of Socket be negative?

No, the Tensile Stress in Socket of Cotter Joint given Outer and Inner Diameter of Socket, measured in Stress cannot be negative.

Which unit is used to measure Tensile Stress in Socket of Cotter Joint given Outer and Inner Diameter of Socket?

Tensile Stress in Socket of Cotter Joint given Outer and Inner Diameter of Socket is usually measured using the Newton per Square Millimeter[N/mm²] for Stress. Pascal[N/mm²], Newton per Square Meter[N/mm²], Kilonewton per Square Meter[N/mm²] are the few other units in which Tensile Stress in Socket of Cotter Joint given Outer and Inner Diameter of Socket can be measured.

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Tensile Stress in Socket of Cotter Joint given Outer and Inner Diameter of Socket Formula

Tensile Stress in Socket of Cotter Joint given Outer and Inner Diameter of Socket Example

Tensile Stress in Socket of Cotter Joint given Outer and Inner Diameter of Socket Solution

Tensile Stress in Socket of Cotter Joint given Outer and Inner Diameter of Socket Formula Elements

Other formulas in Strength and Stress category

How to Evaluate Tensile Stress in Socket of Cotter Joint given Outer and Inner Diameter of Socket?

FAQs on Tensile Stress in Socket of Cotter Joint given Outer and Inner Diameter of Socket

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