Permissible Shear Stress for Spigot Calculator

✖Tensile Force on Rods is the magnitude of the force applied along an elastic rod along its axis trying to stretch the rod.ⓘ Tensile Force on Rods [P]			+10% -10%
✖Spigot distance is defined as the distance from the end of the slot to the end of the spigot on the rod.ⓘ Spigot Distance [a]			+10% -10%
✖External Diameter of Spigot is defined as the diameter of the external surface of the spigot or the inner diameter of the socket.ⓘ External Diameter of Spigot [d_ex]			+10% -10%

✖The permissible shear stress is the highest value of shear stress developed in the component.ⓘ Permissible Shear Stress for Spigot [𝜏_p]

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Formula

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Permissible Shear Stress for Spigot

Formula

𝜏 p = \frac{P}{2 \cdot a \cdot d ex}

Example

957854.4 N/m² = \frac{1500 N}{2 \cdot 17.4 mm \cdot 45 mm}

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Permissible Shear Stress for Spigot Solution

STEP 0: Pre-Calculation Summary

Formula Used

Permissible Shear Stress = Tensile Force on Rods/(2*Spigot Distance*External Diameter of Spigot)
𝜏_p = P/(2*a*d_ex)
This formula uses 4 Variables

Variables Used

Permissible Shear Stress - (Measured in Pascal) - The permissible shear stress is the highest value of shear stress developed in the component.
Tensile Force on Rods - (Measured in Newton) - Tensile Force on Rods is the magnitude of the force applied along an elastic rod along its axis trying to stretch the rod.
Spigot Distance - (Measured in Meter) - Spigot distance is defined as the distance from the end of the slot to the end of the spigot on the rod.
External Diameter of Spigot - (Measured in Meter) - External Diameter of Spigot is defined as the diameter of the external surface of the spigot or the inner diameter of the socket.

STEP 1: Convert Input(s) to Base Unit

Tensile Force on Rods: 1500 Newton --> 1500 Newton No Conversion Required
Spigot Distance: 17.4 Millimeter --> 0.0174 Meter (Check conversion here)
External Diameter of Spigot: 45 Millimeter --> 0.045 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

𝜏_p = P/(2*a*d_ex) --> 1500/(2*0.0174*0.045)

Evaluating ... ...

𝜏_p = 957854.406130268

STEP 3: Convert Result to Output's Unit

957854.406130268 Pascal -->957854.406130268 Newton per Square Meter (Check conversion here)

FINAL ANSWER

957854.406130268 ≈ 957854.4 Newton per Square Meter <-- Permissible Shear Stress

(Calculation completed in 00.004 seconds)

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Home » Physics » Design of Machine Elements » Design of Coupling » Design of Cotter Joint » Mechanical » Strength and Stress » Permissible Shear Stress for Spigot

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Created by Kethavath Srinath

Osmania University (OU), Hyderabad

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Vishwakarma Government Engineering College (VGEC), Ahmedabad

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< Strength and Stress Calculators

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

Go Tensile Stress In Spigot = (Load on Cotter Joint)/((pi*Diameter of Spigot^2)/4-Diameter of Spigot*Thickness of Cotter)

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

Go Shear Stress in Spigot = (Load on Cotter Joint)/(2*Gap between End of Slot to End of Spigot*Diameter of Spigot)

Tensile Stress in Rod of Cotter Joint

Go Tensile Stress in Cotter Joint Rod = (4*Load on Cotter Joint)/(pi*Diameter of Rod of Cotter Joint^2)

Shear Stress in Cotter given Cotter Thickness and Width

Go Shear Stress in Cotter = (Load on Cotter Joint)/(2*Thickness of Cotter*Mean Width of Cotter)

< Forces and Loads on Joint Calculators

Load Taken by Socket of Cotter Joint given Tensile Stress in Socket

Go 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))

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

Go Load on Cotter Joint = (pi/4*Diameter of Spigot^2-Diameter of Spigot*Thickness of Cotter)*Tensile Stress In Spigot

Load Taken by Cotter Joint Rod given Tensile Stress in Rod

Go Load on Cotter Joint = (pi*Diameter of Rod of Cotter Joint^2*Tensile Stress in Cotter Joint Rod)/4

Force on Cotter given Shear Stress in Cotter

Go Load on Cotter Joint = 2*Thickness of Cotter*Mean Width of Cotter*Shear Stress in Cotter

Permissible Shear Stress for Spigot Formula

Permissible Shear Stress = Tensile Force on Rods/(2*Spigot Distance*External Diameter of Spigot)
𝜏_p = P/(2*a*d_ex)

Define a Spigot joint?.

A connection between two sections of pipe, the straight spigot end of one section is inserted in the flared-out end of the adjoining section; the joint is sealed by a caulking compound or with a compressible ring.

How to Calculate Permissible Shear Stress for Spigot?

Permissible Shear Stress for Spigot calculator uses Permissible Shear Stress = Tensile Force on Rods/(2*Spigot Distance*External Diameter of Spigot) to calculate 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 calculate Permissible Shear Stress for Spigot using this online calculator? To use this online calculator 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. Here is how the Permissible Shear Stress for Spigot calculation can be explained with given input values -> 957854.4 = 1500/(2*0.0174*0.045).

FAQ

What is Permissible Shear Stress for Spigot?

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 and is represented as 𝜏_p = P/(2*a*d_ex) or Permissible Shear Stress = Tensile Force on Rods/(2*Spigot Distance*External Diameter of Spigot). Tensile Force on Rods is the magnitude of the force applied along an elastic rod along its axis trying to stretch the rod, Spigot distance is defined as the distance from the end of the slot to the end of the spigot on the rod & External Diameter of Spigot is defined as the diameter of the external surface of the spigot or the inner diameter of the socket.

How to calculate Permissible Shear Stress for Spigot?

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 is calculated using Permissible Shear Stress = Tensile Force on Rods/(2*Spigot Distance*External Diameter of Spigot). To calculate Permissible Shear Stress for Spigot, you need Tensile Force on Rods (P), Spigot Distance (a) & External Diameter of Spigot (d_ex). With our tool, you need to enter the respective value for Tensile Force on Rods, Spigot Distance & External Diameter of Spigot and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Permissible Shear Stress?

In this formula, Permissible Shear Stress uses Tensile Force on Rods, Spigot Distance & External Diameter of Spigot. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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