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

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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. Check FAQs

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

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

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

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

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

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

26.5957 = \frac{50000}{2 \cdot 23.5 \cdot 40}

26.5957N/mm² = \frac{50000N}{2 \cdot 23.5mm \cdot 40mm}

26.5957 = \frac{50000}{2 \cdot 23.5 \cdot 40}

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

τ sp = \frac{50000N}{2 \cdot 23.5mm \cdot 40mm}

Next Step Convert Units

∴

τ sp = \frac{50000N}{2 \cdot 0.0235m \cdot 0.04m}

Next Step Prepare to Evaluate

∴

τ sp = \frac{50000}{2 \cdot 0.0235 \cdot 0.04}

Next Step Evaluate

∴

τ sp = 26595744.6808511Pa

Next Step Convert to Output's Unit

∴

τ sp = 26.5957446808511N/mm²

LAST Step Rounding Answer

∴

τ sp = 26.5957N/mm²

Shear Stress in Spigot of Cotter Joint given Diameter of Spigot and Load Formula Elements

Variables

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

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

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 Socket of Cotter Joint given Inner and Outer Diameter of Socket

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

How to Evaluate Shear Stress in Spigot of Cotter Joint given Diameter of Spigot and Load?

Shear Stress in Spigot of Cotter Joint given Diameter of Spigot and Load evaluator uses Shear Stress in Spigot = (Load on Cotter Joint)/(2*Gap between End of Slot to End of Spigot*Diameter of Spigot) to evaluate the Shear Stress in Spigot, The Shear stress in spigot of cotter joint given diameter of spigot and load is the amount of shear stress in the spigot of the cotter joint due to the shearing force trying to break or fracture the spigot in a plane parallel to cotter joint's axis. Shear Stress in Spigot is denoted by τ_sp symbol.

How to evaluate Shear Stress in Spigot of Cotter Joint given Diameter of Spigot and Load using this online evaluator? To use this online evaluator for Shear Stress in Spigot of Cotter Joint given Diameter of Spigot and Load, enter Load on Cotter Joint (L), Gap between End of Slot to End of Spigot (L_a) & Diameter of Spigot (d₂) and hit the calculate button.

FAQs on Shear Stress in Spigot of Cotter Joint given Diameter of Spigot and Load

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

The formula of Shear Stress in Spigot of Cotter Joint given Diameter of Spigot and Load is expressed as Shear Stress in Spigot = (Load on Cotter Joint)/(2*Gap between End of Slot to End of Spigot*Diameter of Spigot). Here is an example- 2.7E-5 = (50000)/(2*0.0235*0.04).

How to calculate Shear Stress in Spigot of Cotter Joint given Diameter of Spigot and Load?

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

Can the Shear Stress in Spigot of Cotter Joint given Diameter of Spigot and Load be negative?

No, the Shear Stress in Spigot of Cotter Joint given Diameter of Spigot and Load, measured in Stress cannot be negative.

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

Shear Stress in Spigot of Cotter Joint given Diameter of Spigot and Load 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 Shear Stress in Spigot of Cotter Joint given Diameter of Spigot and Load can be measured.

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

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

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

Shear Stress in Spigot of Cotter Joint given Diameter of Spigot and Load Formula Elements

Other formulas in Strength and Stress category

How to Evaluate Shear Stress in Spigot of Cotter Joint given Diameter of Spigot and Load?

FAQs on Shear Stress in Spigot of Cotter Joint given Diameter of Spigot and Load

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