Permissible Shear Stress for Spigot Calculator

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✖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%
✖The diameter of Spigot is defined as the diameter of the external surface of the spigot or the inner diameter of the socket.ⓘ Diameter of Spigot [d₂]			+10% -10%

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

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Formula

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Permissible Shear Stress for Spigot

Formula

`"𝜏"_{"permissible"} = "P"/(2*"a"*"d"_{"2"})`

Example

`"957854.4N/m²"="1500N"/(2*"17.4mm"*"45mm")`

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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*Diameter of Spigot)
𝜏_permissible = P/(2*a*d₂)
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.
Diameter of Spigot - (Measured in Meter) - The 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)
Diameter of Spigot: 45 Millimeter --> 0.045 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

𝜏_permissible = P/(2*a*d₂) --> 1500/(2*0.0174*0.045)

Evaluating ... ...

𝜏_permissible = 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 00.020 seconds)

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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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< 9 Design of Coupling Calculators

Factor of Safety for Tri-axial State of Stress

Go Factor of Safety = Tensile Yield Strength/sqrt(1/2*((Normal Stress 1-Normal Stress 2)^2+(Normal Stress 2-Normal Stress 3)^2+(Normal Stress 3-Normal Stress 1)^2))

Equivalent Stress by Distortion Energy Theory

Go Equivalent Stress = 1/sqrt(2)*sqrt((Normal Stress 1-Normal Stress 2)^2+(Normal Stress 2-Normal Stress 3)^2+(Normal Stress 3-Normal Stress 1)^2)

Factor of Safety for Bi-Axial State of Stress

Go Factor of Safety = Tensile Yield Strength/(sqrt(Normal Stress 1^2+Normal Stress 2^2-Normal Stress 1*Normal Stress 2))

Tensile Stress in Spigot

Go Tensile Stress = Tensile Force on Rods/((pi/4*Diameter of Spigot^(2))-(Diameter of Spigot*Thickness of Cotter))

Polar Moment of Inertia of Hollow Circular Shaft

Go Polar Moment of Inertia of shaft = (pi*(Outer Diameter of Shaft^(4)-Inner Diameter of Shaft^(4)))/32

Permissible Shear Stress for Cotter

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

Permissible Shear Stress for Spigot

Go Permissible Shear Stress = Tensile Force on Rods/(2*Spigot Distance*Diameter of Spigot)

Stress Amplitude

Go Stress Amplitude = (Maximum Stress at Crack Tip-Minimum Stress)/2

Polar Moment of Inertia of Solid Circular Shaft

Go Polar Moment of Inertia = (pi*Diameter of Shaft^4)/32

< 13 Strength and Stress Calculators

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

Go 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))

Bending Stress in Cotter of Cotter Joint

Go Bending Stress in Cotter = (3*Load on Cotter Joint/(Thickness of Cotter*Mean Width of Cotter^2))*((Diameter of Spigot+2*Diameter of Socket Collar)/12)

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 Socket of Cotter Joint given Inner and Outer Diameter of Socket

Go Shear Stress in Socket = (Load on Cotter Joint)/(2*(Diameter of Socket Collar-Diameter of Spigot)*Axial Distance From Slot to End of Socket Collar)

Tensile Stress in Spigot

Go Tensile Stress = Tensile Force on Rods/((pi/4*Diameter of Spigot^(2))-(Diameter of Spigot*Thickness of Cotter))

Compressive Stress in Socket of Cotter Joint given Diameter of Spigot and of Socket Collar

Go Compressive Stress In Socket = (Load on Cotter Joint)/((Diameter of Socket Collar-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)

Compressive Stress in Spigot of Cotter Joint Considering Crushing Failure

Go Compressive Stress in Spigot = (Load on Cotter Joint)/(Thickness of Cotter*Diameter of Spigot)

Permissible Shear Stress for Cotter

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

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)

Compressive Stress of Spigot

Go Compressive Stress in Spigot = Load on Cotter Joint/(Thickness of Cotter*Spigot Diameter)

Permissible Shear Stress for Spigot

Go Permissible Shear Stress = Tensile Force on Rods/(2*Spigot Distance*Diameter of Spigot)

Permissible Shear Stress for Spigot Formula

Permissible Shear Stress = Tensile Force on Rods/(2*Spigot Distance*Diameter of Spigot)
𝜏_permissible = P/(2*a*d₂)

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*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_permissible 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) & Diameter of Spigot (d₂) and hit the calculate button. Here is how the Permissible Shear Stress for Spigot calculation can be explained with given input values -> 1.1E+6 = 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_permissible = P/(2*a*d₂) or Permissible Shear Stress = Tensile Force on Rods/(2*Spigot Distance*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 & The 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*Diameter of Spigot). To calculate Permissible Shear Stress for Spigot, you need Tensile Force on Rods (P), Spigot Distance (a) & Diameter of Spigot (d₂). With our tool, you need to enter the respective value for Tensile Force on Rods, Spigot Distance & 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 & 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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