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Allowable Shear Stress in Pins of Coupling Formula

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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. Check FAQs

𝜏 = \frac{8 \cdot M t}{π \cdot {D 1}^{2} \cdot D p \cdot N}

𝜏 - Shear Stress in Pin of Coupling?M_t - Torque Transmitted By Coupling?D₁ - Diameter of Pin of Coupling?D_p - Pitch Circle Diameter of Pins of Coupling?N - Number of Pins in Coupling?π - Archimedes' constant?

Allowable Shear Stress in Pins of Coupling Example

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Here is how the Allowable Shear Stress in Pins of Coupling equation looks like with Values.

Here is how the Allowable Shear Stress in Pins of Coupling equation looks like with Units.

Here is how the Allowable Shear Stress in Pins of Coupling equation looks like.

29.86 = \frac{8 \cdot 397500}{3.1416 \cdot 7^{2} \cdot 120 \cdot 5.7652}

29.86N/mm² = \frac{8 \cdot 397500N*mm}{3.1416 \cdot {7mm}^{2} \cdot 120mm \cdot 5.7652}

29.86 = \frac{8 \cdot 397500}{3.1416 \cdot 7^{2} \cdot 120 \cdot 5.7652}

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Allowable Shear Stress in Pins of Coupling Solution

Follow our step by step solution on how to calculate Allowable Shear Stress in Pins of Coupling?

FIRST Step Consider the formula

𝜏 = \frac{8 \cdot M t}{π \cdot {D 1}^{2} \cdot D p \cdot N}

Next Step Substitute values of Variables

∴

𝜏 = \frac{8 \cdot 397500N*mm}{π \cdot {7mm}^{2} \cdot 120mm \cdot 5.7652}

Next Step Substitute values of Constants

∴

𝜏 = \frac{8 \cdot 397500N*mm}{3.1416 \cdot {7mm}^{2} \cdot 120mm \cdot 5.7652}

Next Step Convert Units

∴

𝜏 = \frac{8 \cdot 397.5N*m}{3.1416 \cdot {0.007m}^{2} \cdot 0.12m \cdot 5.7652}

Next Step Prepare to Evaluate

∴

𝜏 = \frac{8 \cdot 397.5}{3.1416 \cdot {0.007}^{2} \cdot 0.12 \cdot 5.7652}

Next Step Evaluate

∴

𝜏 = 29859960.8829491Pa

Next Step Convert to Output's Unit

∴

𝜏 = 29.8599608829491N/mm²

LAST Step Rounding Answer

∴

𝜏 = 29.86N/mm²

Allowable Shear Stress in Pins of Coupling Formula Elements

Variables

Constants

Shear Stress in Pin of Coupling

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.

Symbol: 𝜏

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Shear Stress in Pin of Coupling

Torque Transmitted By Coupling

Torque Transmitted By Coupling is the amount of torque that is acting on the coupling and is transmitted by it.

Symbol: M_t

Measurement: TorqueUnit: N*mm

Note: Value should be greater than 0.

Formulas to find Torque Transmitted By Coupling

Diameter of Pin of Coupling

Diameter of Pin of Coupling is defined as the diameter of the pin under consideration in a coupling.

Symbol: D₁

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Diameter of Pin of Coupling

Pitch Circle Diameter of Pins of 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.

Symbol: D_p

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Pitch Circle Diameter of Pins of Coupling

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.

Symbol: N

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Number of Pins in Coupling

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other formulas in Stress Analysis category

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

P = \frac{2 \cdot M t}{N \cdot D p}

Go Force Acting on Each Pin or Bush of Coupling

P = D b \cdot l b \cdot P a

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

P a = \frac{P}{D b \cdot l b}

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

P a = 2 \cdot \frac{M t}{D b \cdot N \cdot D p \cdot l b}

How to Evaluate Allowable Shear Stress in Pins of Coupling?

Allowable Shear Stress in Pins of Coupling evaluator 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 evaluate 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 evaluate Allowable Shear Stress in Pins of Coupling using this online evaluator? To use this online evaluator 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 (D_p) & Number of Pins in Coupling (N) and hit the calculate button.

FAQs on Allowable Shear Stress in Pins of Coupling

What is the formula to find Allowable Shear Stress in Pins of Coupling?

The formula of Allowable Shear Stress in Pins of Coupling is expressed as 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). Here is an example- 3E-5 = (8*397.5)/(pi*0.007^2*0.12*5.765151).

How to calculate Allowable Shear Stress in Pins of Coupling?

With Torque Transmitted By Coupling (M_t), Diameter of Pin of Coupling (D₁), Pitch Circle Diameter of Pins of Coupling (D_p) & Number of Pins in Coupling (N) we can find Allowable Shear Stress in Pins of Coupling using the formula - 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). This formula also uses Archimedes' constant .

Can the Allowable Shear Stress in Pins of Coupling be negative?

No, the Allowable Shear Stress in Pins of Coupling, measured in Stress cannot be negative.

Which unit is used to measure Allowable Shear Stress in Pins of Coupling?

Allowable Shear Stress in Pins of Coupling is usually measured using the Newton per Square Millimeter[N/mm²] for Stress. Pascal[N/mm²], Newton per Square Meter[N/mm²], Kilonewton per Square Meter[N/mm²] are the few other units in which Allowable Shear Stress in Pins of Coupling can be measured.

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Allowable Shear Stress in Pins of Coupling Formula

Allowable Shear Stress in Pins of Coupling Example

Allowable Shear Stress in Pins of Coupling Solution

Allowable Shear Stress in Pins of Coupling Formula Elements

Other formulas in Stress Analysis category

How to Evaluate Allowable Shear Stress in Pins of Coupling?

FAQs on Allowable Shear Stress in Pins of Coupling

Variable Name