Allowable Shear Stress in Pins of Coupling Calculator

✖Torque Transmitted by Coupling is the amount of torque that is acting on the coupling and is transmitted by it.ⓘ Torque Transmitted by Coupling [M_t]			+10% -10%
✖Diameter of Pin of Coupling is defined as the diameter of the pin under consideration in a coupling.ⓘ Diameter of Pin of Coupling [d₁]			+10% -10%
✖The Pitch Circle Diameter of Pins of Coupling is defined as the diameter of the circle which passes through the center of all the pins.ⓘ Pitch Circle Diameter of Pins of Coupling [Dp_pins]			+10% -10%
✖Number of pins in Coupling is defined as the total number of pins used in the Bushed Pin flexible coupling.ⓘ Number of Pins in Coupling [N]			+10% -10%

✖Shear Stress in Pin of Coupling is a force per unit area tending to cause deformation of the material by slippage along a plane or planes parallel to the imposed stress.ⓘ Allowable Shear Stress in Pins of Coupling [𝜏]

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Formula

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Allowable Shear Stress in Pins of Coupling

Formula

`"𝜏" = (8*"M"_{"t"})/(pi*"d"_{"1"}^2*"Dp"_{"pins"}*"N")`

Example

`"28.6912N/mm²"=(8*"397500N*mm")/(pi*("7mm")^2*"120mm"*"6")`

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Download Design of Bushed-Pin Flexible Coupling Formula PDF PDF Image

Allowable Shear Stress in Pins of Coupling Solution

STEP 0: Pre-Calculation Summary

Formula Used

Shear Stress in Pin of Coupling = (8*Torque Transmitted by Coupling)/(pi*Diameter of Pin of Coupling^2*Pitch Circle Diameter of Pins of Coupling*Number of Pins in Coupling)
𝜏 = (8*M_t)/(pi*d₁^2*Dp_pins*N)
This formula uses 1 Constants, 5 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Shear Stress in Pin of Coupling - (Measured in Pascal) - Shear Stress in Pin of Coupling is a force per unit area tending to cause deformation of the material by slippage along a plane or planes parallel to the imposed stress.
Torque Transmitted by Coupling - (Measured in Newton Meter) - Torque Transmitted by Coupling is the amount of torque that is acting on the coupling and is transmitted by it.
Diameter of Pin of Coupling - (Measured in Meter) - Diameter of Pin of Coupling is defined as the diameter of the pin under consideration in a coupling.
Pitch Circle Diameter of Pins of Coupling - (Measured in Meter) - The Pitch Circle Diameter of Pins of Coupling is defined as the diameter of the circle which passes through the center of all the pins.
Number of Pins in Coupling - Number of pins in Coupling is defined as the total number of pins used in the Bushed Pin flexible coupling.

STEP 1: Convert Input(s) to Base Unit

Torque Transmitted by Coupling: 397500 Newton Millimeter --> 397.5 Newton Meter (Check conversion here)
Diameter of Pin of Coupling: 7 Millimeter --> 0.007 Meter (Check conversion here)
Pitch Circle Diameter of Pins of Coupling: 120 Millimeter --> 0.12 Meter (Check conversion here)
Number of Pins in Coupling: 6 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

𝜏 = (8*M_t)/(pi*d₁^2*Dp_pins*N) --> (8*397.5)/(pi*0.007^2*0.12*6)

Evaluating ... ...

𝜏 = 28691197.2240492

STEP 3: Convert Result to Output's Unit

28691197.2240492 Pascal -->28.6911972240492 Newton per Square Millimeter (Check conversion here)

FINAL ANSWER

28.6911972240492 ≈ 28.6912 Newton per Square Millimeter <-- Shear Stress in Pin of Coupling

(Calculation completed in 00.004 seconds)

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Home » Physics » Design of Machine Elements » Design of Coupling » Design of Bushed-Pin Flexible Coupling » Stress Analysis » Allowable Shear Stress in Pins of Coupling

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Created by Akshay Talbar

Vishwakarma University (VU), Pune

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< 5 Stress Analysis Calculators

Permissible Intensity of Pressure between Flange and Rubber Bush of Coupling given Torque

Go Intensity of Pressure bw Flange & Bush of Coupling = 2*Torque Transmitted by Coupling/(Outer Diameter of Bush for Coupling*Number of Pins in Coupling*Pitch Circle Diameter of Pins of Coupling*Effective Length of Bush of Coupling)

Allowable Shear Stress in Pins of Coupling

Go Shear Stress in Pin of Coupling = (8*Torque Transmitted by Coupling)/(pi*Diameter of Pin of Coupling^2*Pitch Circle Diameter of Pins of Coupling*Number of Pins in Coupling)

Permissible Intensity of Pressure between Flange and Rubber Bush in Bushed Pin Coupling

Go Intensity of Pressure bw Flange & Bush of Coupling = Force on each Rubber Bush or Pin of Coupling/(Outer Diameter of Bush for Coupling*Effective Length of Bush of Coupling)

Force Acting on Each Pin or Bush of Coupling

Go Force on each Rubber Bush or Pin of Coupling = Outer Diameter of Bush for Coupling*Effective Length of Bush of Coupling*Intensity of Pressure bw Flange & Bush of Coupling

Force Acting on Each Pin or Bush of Coupling given Troque Transmitted

Go Force on each Rubber Bush or Pin of Coupling = (2*Torque Transmitted by Coupling)/(Number of Pins in Coupling*Pitch Circle Diameter of Pins of Coupling)

Allowable Shear Stress in Pins of Coupling Formula

Why shear stress is taken into account?

The coupling is subjected to direct shear stress which is due to the force acting on each of the pins so we need to calculate the shear stress in terms of number of pins and diameter of it.

How to Calculate Allowable Shear Stress in Pins of Coupling?

Allowable Shear Stress in Pins of Coupling calculator uses Shear Stress in Pin of Coupling = (8*Torque Transmitted by Coupling)/(pi*Diameter of Pin of Coupling^2*Pitch Circle Diameter of Pins of Coupling*Number of Pins in Coupling) to calculate the Shear Stress in Pin of Coupling, Allowable shear stress in pins of Coupling is the stress which is the limiting value of shear stress in the pins of a bushed pin flexible coupling. Shear Stress in Pin of Coupling is denoted by 𝜏 symbol.

How to calculate Allowable Shear Stress in Pins of Coupling using this online calculator? To use this online calculator for Allowable Shear Stress in Pins of Coupling, enter Torque Transmitted by Coupling (M_t), Diameter of Pin of Coupling (d₁), Pitch Circle Diameter of Pins of Coupling (Dp_pins) & Number of Pins in Coupling (N) and hit the calculate button. Here is how the Allowable Shear Stress in Pins of Coupling calculation can be explained with given input values -> 2.9E-5 = (8*397.5)/(pi*0.007^2*0.12*6).

FAQ

What is Allowable Shear Stress in Pins of Coupling?

Allowable shear stress in pins of Coupling is the stress which is the limiting value of shear stress in the pins of a bushed pin flexible coupling and is represented as 𝜏 = (8*M_t)/(pi*d₁^2*Dp_pins*N) or Shear Stress in Pin of Coupling = (8*Torque Transmitted by Coupling)/(pi*Diameter of Pin of Coupling^2*Pitch Circle Diameter of Pins of Coupling*Number of Pins in Coupling). Torque Transmitted by Coupling is the amount of torque that is acting on the coupling and is transmitted by it, Diameter of Pin of Coupling is defined as the diameter of the pin under consideration in a coupling, The Pitch Circle Diameter of Pins of Coupling is defined as the diameter of the circle which passes through the center of all the pins & Number of pins in Coupling is defined as the total number of pins used in the Bushed Pin flexible coupling.

How to calculate Allowable Shear Stress in Pins of Coupling?

Allowable shear stress in pins of Coupling is the stress which is the limiting value of shear stress in the pins of a bushed pin flexible coupling is calculated using Shear Stress in Pin of Coupling = (8*Torque Transmitted by Coupling)/(pi*Diameter of Pin of Coupling^2*Pitch Circle Diameter of Pins of Coupling*Number of Pins in Coupling). To calculate Allowable Shear Stress in Pins of Coupling, you need Torque Transmitted by Coupling (M_t), Diameter of Pin of Coupling (d₁), Pitch Circle Diameter of Pins of Coupling (Dp_pins) & Number of Pins in Coupling (N). With our tool, you need to enter the respective value for Torque Transmitted by Coupling, Diameter of Pin of Coupling, Pitch Circle Diameter of Pins of Coupling & Number of Pins in Coupling 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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