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Permissible Shear Stress for Spigot Formula

GoPermissible Shear Stress for Cotter Formula

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The permissible shear stress is the highest value of shear stress developed in the component. Check FAQs

𝜏 p = \frac{P}{2 \cdot a \cdot d ex}

𝜏_p - Permissible Shear Stress?P - Tensile Force on Rods?a - Spigot Distance?d_ex - External Diameter of Spigot?

Permissible Shear Stress for Spigot Example

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Here is how the Permissible Shear Stress for Spigot equation looks like with Values.

Here is how the Permissible Shear Stress for Spigot equation looks like with Units.

Here is how the Permissible Shear Stress for Spigot equation looks like.

957854.4061 = \frac{1500}{2 \cdot 17.4 \cdot 45}

957854.4061N/m² = \frac{1500N}{2 \cdot 17.4mm \cdot 45mm}

957854.4061 = \frac{1500}{2 \cdot 17.4 \cdot 45}

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Home » Physics » Mechanical » Design of Machine Elements » Permissible Shear Stress for Spigot

Permissible Shear Stress for Spigot Solution

Follow our step by step solution on how to calculate Permissible Shear Stress for Spigot?

FIRST Step Consider the formula

𝜏 p = \frac{P}{2 \cdot a \cdot d ex}

Next Step Substitute values of Variables

∴

𝜏 p = \frac{1500N}{2 \cdot 17.4mm \cdot 45mm}

Next Step Convert Units

∴

𝜏 p = \frac{1500N}{2 \cdot 0.0174m \cdot 0.045m}

Next Step Prepare to Evaluate

∴

𝜏 p = \frac{1500}{2 \cdot 0.0174 \cdot 0.045}

Next Step Evaluate

∴

𝜏 p = 957854.406130268Pa

Next Step Convert to Output's Unit

∴

𝜏 p = 957854.406130268N/m²

LAST Step Rounding Answer

∴

𝜏 p = 957854.4061N/m²

Permissible Shear Stress for Spigot Formula Elements

Variables

Permissible Shear Stress

The permissible shear stress is the highest value of shear stress developed in the component.

Symbol: 𝜏_p

Measurement: PressureUnit: N/m²

Note: Value can be positive or negative.

Tensile Force on Rods

Tensile Force on Rods is the magnitude of the force applied along an elastic rod along its axis trying to stretch the rod.

Symbol: P

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Spigot Distance

Spigot distance is defined as the distance from the end of the slot to the end of the spigot on the rod.

Symbol: a

Measurement: LengthUnit: mm

Note: Value can be positive or negative.

External Diameter of Spigot

External Diameter of Spigot is defined as the diameter of the external surface of the spigot or the inner diameter of the socket.

Symbol: d_ex

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Credits

Created by Kethavath Srinath

Osmania University (OU), Hyderabad

Kethavath Srinath has created this Formula and 1000+ more formulas!

Verified by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

Urvi Rathod has verified this Formula and 1900+ more formulas!

Other Formulas to find Permissible Shear Stress

Go Permissible Shear Stress for Cotter

𝜏 p = \frac{P}{2 \cdot b \cdot t c}

Other formulas in Strength and Stress category

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

How to Evaluate Permissible Shear Stress for Spigot?

Permissible Shear Stress for Spigot evaluator uses Permissible Shear Stress = Tensile Force on Rods/(2*Spigot Distance*External Diameter of Spigot) to evaluate the Permissible Shear Stress, The Permissible Shear Stress for Spigot formula is defined as is the stresses developed in a structure due to service loads that do not exceed the elastic limit. This limit is usually determined by ensuring that stresses remain within the limits through the use of factors of safety. Permissible Shear Stress is denoted by 𝜏_p symbol.

How to evaluate Permissible Shear Stress for Spigot using this online evaluator? To use this online evaluator for Permissible Shear Stress for Spigot, enter Tensile Force on Rods (P), Spigot Distance (a) & External Diameter of Spigot (d_ex) and hit the calculate button.

FAQs on Permissible Shear Stress for Spigot

What is the formula to find Permissible Shear Stress for Spigot?

The formula of Permissible Shear Stress for Spigot is expressed as Permissible Shear Stress = Tensile Force on Rods/(2*Spigot Distance*External Diameter of Spigot). Here is an example- 957854.4 = 1500/(2*0.0174*0.045).

How to calculate Permissible Shear Stress for Spigot?

With Tensile Force on Rods (P), Spigot Distance (a) & External Diameter of Spigot (d_ex) we can find Permissible Shear Stress for Spigot using the formula - Permissible Shear Stress = Tensile Force on Rods/(2*Spigot Distance*External Diameter of Spigot).

What are the other ways to Calculate Permissible Shear Stress?

Here are the different ways to Calculate Permissible Shear Stress-

Permissible Shear Stress=Tensile Force on Rods/(2*Mean Width of Cotter*Thickness of Cotter)

Can the Permissible Shear Stress for Spigot be negative?

Yes, the Permissible Shear Stress for Spigot, measured in Pressure can be negative.

Which unit is used to measure Permissible Shear Stress for Spigot?

Permissible Shear Stress for Spigot is usually measured using the Newton per Square Meter[N/m²] for Pressure. Pascal[N/m²], Kilopascal[N/m²], Bar[N/m²] are the few other units in which Permissible Shear Stress for Spigot can be measured.

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