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Permissible Shear Stress for Cotter Formula

GoPermissible Shear Stress for Spigot Formula

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The permissible shear stress is the highest value of shear stress developed in the component. Check FAQs

𝜏 p = \frac{P}{2 \cdot b \cdot t c}

𝜏_p - Permissible Shear Stress?P - Tensile Force on Rods?b - Mean Width of Cotter?t_c - Thickness of Cotter?

Permissible Shear Stress for Cotter Example

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With units

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Here is how the Permissible Shear Stress for Cotter equation looks like with Values.

Here is how the Permissible Shear Stress for Cotter equation looks like with Units.

Here is how the Permissible Shear Stress for Cotter equation looks like.

719988.7106 = \frac{1500}{2 \cdot 48.5 \cdot 21.478}

719988.7106N/m² = \frac{1500N}{2 \cdot 48.5mm \cdot 21.478mm}

719988.7106 = \frac{1500}{2 \cdot 48.5 \cdot 21.478}

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Permissible Shear Stress for Cotter Solution

Follow our step by step solution on how to calculate Permissible Shear Stress for Cotter?

FIRST Step Consider the formula

𝜏 p = \frac{P}{2 \cdot b \cdot t c}

Next Step Substitute values of Variables

∴

𝜏 p = \frac{1500N}{2 \cdot 48.5mm \cdot 21.478mm}

Next Step Convert Units

∴

𝜏 p = \frac{1500N}{2 \cdot 0.0485m \cdot 0.0215m}

Next Step Prepare to Evaluate

∴

𝜏 p = \frac{1500}{2 \cdot 0.0485 \cdot 0.0215}

Next Step Evaluate

∴

𝜏 p = 719988.710577018Pa

Next Step Convert to Output's Unit

∴

𝜏 p = 719988.710577018N/m²

LAST Step Rounding Answer

∴

𝜏 p = 719988.7106N/m²

Permissible Shear Stress for Cotter Formula Elements

Variables

Permissible Shear Stress

The permissible shear stress is the highest value of shear stress developed in the component.

Symbol: 𝜏_p

Measurement: PressureUnit: N/m²

Note: Value can be positive or negative.

Formulas to find Permissible Shear Stress

Tensile Force on Rods

Tensile Force on Rods is the magnitude of the force applied along an elastic rod along its axis trying to stretch the rod.

Symbol: P

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Tensile Force on Rods

Mean Width of Cotter

The mean Width of Cotter is defined as the average width of the cotter of a cotter joint.

Symbol: b

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Mean Width of Cotter

Thickness of Cotter

Thickness of Cotter is the measure of how much broad is the cotter in direction perpendicular to axial force.

Symbol: t_c

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Thickness of Cotter

Other Formulas to find Permissible Shear Stress

Go Permissible Shear Stress for Spigot

𝜏 p = \frac{P}{2 \cdot a \cdot d ex}

Other formulas in Strength and Stress category

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

L = (\frac{π}{4} \cdot {d 2}^{2} - d 2 \cdot t c) \cdot σ t sp

Go Load Taken by Cotter Joint Rod given Tensile Stress in Rod

L = \frac{π \cdot d^{2} \cdot σt rod}{4}

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

L = σ t so \cdot (\frac{π}{4} \cdot ({d 1}^{2} - {d 2}^{2}) - t c \cdot (d 1 - d 2))

Go Force on Cotter given Shear Stress in Cotter

L = 2 \cdot t c \cdot b \cdot τ co

How to Evaluate Permissible Shear Stress for Cotter?

Permissible Shear Stress for Cotter evaluator uses Permissible Shear Stress = Tensile Force on Rods/(2*Mean Width of Cotter*Thickness of Cotter) to evaluate the Permissible Shear Stress, The Permissible Shear Stress for Cotter 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 evaluate Permissible Shear Stress for Cotter using this online evaluator? To use this online evaluator for Permissible Shear Stress for Cotter, enter Tensile Force on Rods (P), Mean Width of Cotter (b) & Thickness of Cotter (t_c) and hit the calculate button.

FAQs on Permissible Shear Stress for Cotter

What is the formula to find Permissible Shear Stress for Cotter?

The formula of Permissible Shear Stress for Cotter is expressed as Permissible Shear Stress = Tensile Force on Rods/(2*Mean Width of Cotter*Thickness of Cotter). Here is an example- 719988.7 = 1500/(2*0.0485*0.021478).

How to calculate Permissible Shear Stress for Cotter?

With Tensile Force on Rods (P), Mean Width of Cotter (b) & Thickness of Cotter (t_c) we can find Permissible Shear Stress for Cotter using the formula - Permissible Shear Stress = Tensile Force on Rods/(2*Mean Width of Cotter*Thickness of Cotter).

What are the other ways to Calculate Permissible Shear Stress?

Here are the different ways to Calculate Permissible Shear Stress-

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

Can the Permissible Shear Stress for Cotter be negative?

Yes, the Permissible Shear Stress for Cotter, measured in Pressure can be negative.

Which unit is used to measure Permissible Shear Stress for Cotter?

Permissible Shear Stress for Cotter is usually measured using the Newton per Square Meter[N/m²] for Pressure. Pascal[N/m²], Kilopascal[N/m²], Bar[N/m²] are the few other units in which Permissible Shear Stress for Cotter can be measured.

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Permissible Shear Stress for Cotter Formula

​GoPermissible Shear Stress for Spigot Formula

Permissible Shear Stress for Cotter Example

Permissible Shear Stress for Cotter Solution

Permissible Shear Stress for Cotter Formula Elements

Other Formulas to find Permissible Shear Stress

Other formulas in Strength and Stress category

How to Evaluate Permissible Shear Stress for Cotter?

FAQs on Permissible Shear Stress for Cotter

Variable Name

GoPermissible Shear Stress for Spigot Formula