Tensile Stress in 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%
✖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%
✖Thickness of cotter is the measure of how much broad is the cotter in direction perpendicular to axial force.ⓘ Thickness of Cotter [t_c]			+10% -10%

✖Tensile Stress can be defined as the magnitude of force applied along an elastic rod, which is divided by the cross-sectional area of the rod in a direction perpendicular to the applied force.ⓘ Tensile Stress in Spigot [σ_t]

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Formula

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Tensile Stress in Spigot

Formula

`"σ"_{"t"} = "P"/((pi/4*"d"_{"2"}^(2))-("d"_{"2"}*"t"_{"c"}))`

Example

`"1.750432N/mm²"="1500N"/((pi/4*("45mm")^(2))-("45mm"*"16.3mm"))`

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Tensile Stress in Spigot Solution

STEP 0: Pre-Calculation Summary

Formula Used

Tensile Stress = Tensile Force on Rods/((pi/4*Diameter of Spigot^(2))-(Diameter of Spigot*Thickness of Cotter))
σ_t = P/((pi/4*d₂^(2))-(d₂*t_c))
This formula uses 1 Constants, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Tensile Stress - (Measured in Pascal) - Tensile Stress can be defined as the magnitude of force applied along an elastic rod, which is divided by the cross-sectional area of the rod in a direction perpendicular to the applied force.
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.
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.
Thickness of Cotter - (Measured in Meter) - Thickness of cotter is the measure of how much broad is the cotter in direction perpendicular to axial force.

STEP 1: Convert Input(s) to Base Unit

Tensile Force on Rods: 1500 Newton --> 1500 Newton No Conversion Required
Diameter of Spigot: 45 Millimeter --> 0.045 Meter (Check conversion here)
Thickness of Cotter: 16.3 Millimeter --> 0.0163 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ_t = P/((pi/4*d₂^(2))-(d₂*t_c)) --> 1500/((pi/4*0.045^(2))-(0.045*0.0163))

Evaluating ... ...

σ_t = 1750432.07485659

STEP 3: Convert Result to Output's Unit

1750432.07485659 Pascal -->1.75043207485659 Newton per Square Millimeter (Check conversion here)

FINAL ANSWER

1.75043207485659 ≈ 1.750432 Newton per Square Millimeter <-- Tensile Stress

(Calculation completed in 00.004 seconds)

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Home » Physics » Design of Machine Elements » Design of Coupling » Tensile Stress in 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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< 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)

Tensile Stress in Spigot Formula

Tensile Stress = Tensile Force on Rods/((pi/4*Diameter of Spigot^(2))-(Diameter of Spigot*Thickness of Cotter))
σ_t = P/((pi/4*d₂^(2))-(d₂*t_c))

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 Tensile Stress in Spigot?

Tensile Stress in Spigot calculator uses Tensile Stress = Tensile Force on Rods/((pi/4*Diameter of Spigot^(2))-(Diameter of Spigot*Thickness of Cotter)) to calculate the Tensile Stress, The Tensile Stress in Spigot formula is defined as stress-induced in the spigot when the force applied on rods. Tensile Stress is denoted by σ_t symbol.

How to calculate Tensile Stress in Spigot using this online calculator? To use this online calculator for Tensile Stress in Spigot, enter Tensile Force on Rods (P), Diameter of Spigot (d₂) & Thickness of Cotter (t_c) and hit the calculate button. Here is how the Tensile Stress in Spigot calculation can be explained with given input values -> 2.5E-6 = 1500/((pi/4*0.045^(2))-(0.045*0.0163)).

FAQ

What is Tensile Stress in Spigot?

The Tensile Stress in Spigot formula is defined as stress-induced in the spigot when the force applied on rods and is represented as σ_t = P/((pi/4*d₂^(2))-(d₂*t_c)) or Tensile Stress = Tensile Force on Rods/((pi/4*Diameter of Spigot^(2))-(Diameter of Spigot*Thickness of Cotter)). Tensile Force on Rods is the magnitude of the force applied along an elastic rod along its axis trying to stretch 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 & Thickness of cotter is the measure of how much broad is the cotter in direction perpendicular to axial force.

How to calculate Tensile Stress in Spigot?

The Tensile Stress in Spigot formula is defined as stress-induced in the spigot when the force applied on rods is calculated using Tensile Stress = Tensile Force on Rods/((pi/4*Diameter of Spigot^(2))-(Diameter of Spigot*Thickness of Cotter)). To calculate Tensile Stress in Spigot, you need Tensile Force on Rods (P), Diameter of Spigot (d₂) & Thickness of Cotter (t_c). With our tool, you need to enter the respective value for Tensile Force on Rods, Diameter of Spigot & Thickness of Cotter and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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