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Bending Stress in Cotter of Cotter Joint Formula

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Bending Stress in Cotter is defined as the stress that is induced in the cotter subjected to loads that cause it to bend. Check FAQs

σ b = (3 \cdot \frac{L}{t c \cdot b^{2}}) \cdot (\frac{d 2 + 2 \cdot d 4}{12})

σ_b - Bending Stress in Cotter?L - Load on Cotter Joint?t_c - Thickness of Cotter?b - Mean Width of Cotter?d₂ - Diameter of Spigot?d₄ - Diameter of Socket Collar?

Bending Stress in Cotter of Cotter Joint Example

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Here is how the Bending Stress in Cotter of Cotter Joint equation looks like with Values.

Here is how the Bending Stress in Cotter of Cotter Joint equation looks like with Units.

Here is how the Bending Stress in Cotter of Cotter Joint equation looks like.

49.4838 = (3 \cdot \frac{50000}{21.478 \cdot {48.5}^{2}}) \cdot (\frac{40 + 2 \cdot 80}{12})

49.4838N/mm² = (3 \cdot \frac{50000N}{21.478mm \cdot {48.5mm}^{2}}) \cdot (\frac{40mm + 2 \cdot 80mm}{12})

49.4838 = (3 \cdot \frac{50000}{21.478 \cdot {48.5}^{2}}) \cdot (\frac{40 + 2 \cdot 80}{12})

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Bending Stress in Cotter of Cotter Joint Solution

Follow our step by step solution on how to calculate Bending Stress in Cotter of Cotter Joint?

FIRST Step Consider the formula

σ b = (3 \cdot \frac{L}{t c \cdot b^{2}}) \cdot (\frac{d 2 + 2 \cdot d 4}{12})

Next Step Substitute values of Variables

∴

σ b = (3 \cdot \frac{50000N}{21.478mm \cdot {48.5mm}^{2}}) \cdot (\frac{40mm + 2 \cdot 80mm}{12})

Next Step Convert Units

∴

σ b = (3 \cdot \frac{50000N}{0.0215m \cdot {0.0485m}^{2}}) \cdot (\frac{0.04m + 2 \cdot 0.08m}{12})

Next Step Prepare to Evaluate

∴

σ b = (3 \cdot \frac{50000}{0.0215 \cdot {0.0485}^{2}}) \cdot (\frac{0.04 + 2 \cdot 0.08}{12})

Next Step Evaluate

∴

σ b = 49483760.1771146Pa

Next Step Convert to Output's Unit

∴

σ b = 49.4837601771146N/mm²

LAST Step Rounding Answer

∴

σ b = 49.4838N/mm²

Bending Stress in Cotter of Cotter Joint Formula Elements

Variables

Bending Stress in Cotter

Bending Stress in Cotter is defined as the stress that is induced in the cotter subjected to loads that cause it to bend.

Symbol: σ_b

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Bending Stress in Cotter

Load on Cotter Joint

Load on cotter joint is basically the amount of load/force any part or joint, can bear or is acted upon or exerts.

Symbol: L

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Load on Cotter Joint

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

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

Diameter of Spigot

The diameter of Spigot is defined as the diameter of the external surface of the spigot or the inner diameter of the socket.

Symbol: d₂

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Diameter of Spigot

Diameter of Socket Collar

Diameter of socket collar is the external diameter of collar of the socket of a cotter joint.

Symbol: d₄

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Diameter of Socket Collar

Other formulas in Strength and Stress category

Go Tensile Stress in Rod of Cotter Joint

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

Go Tensile Stress in Spigot of Cotter Joint given Diameter of Spigot, Thickenss of Cotter and Load

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

Go Shear Stress in Cotter given Cotter Thickness and Width

τ co = \frac{L}{2 \cdot t c \cdot b}

Go Shear Stress in Spigot of Cotter Joint given Diameter of Spigot and Load

τ sp = \frac{L}{2 \cdot L a \cdot d 2}

How to Evaluate Bending Stress in Cotter of Cotter Joint?

Bending Stress in Cotter of Cotter Joint evaluator uses 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) to evaluate the Bending Stress in Cotter, Bending stress in cotter of cotter joint is the amount of bending stress generated in the cotter of a cotter joint when the cotter is subjected to a bending moment and it tends to bend the cotter if exceeds a certain limit. Bending Stress in Cotter is denoted by σ_b symbol.

How to evaluate Bending Stress in Cotter of Cotter Joint using this online evaluator? To use this online evaluator for Bending Stress in Cotter of Cotter Joint, enter Load on Cotter Joint (L), Thickness of Cotter (t_c), Mean Width of Cotter (b), Diameter of Spigot (d₂) & Diameter of Socket Collar (d₄) and hit the calculate button.

FAQs on Bending Stress in Cotter of Cotter Joint

What is the formula to find Bending Stress in Cotter of Cotter Joint?

The formula of Bending Stress in Cotter of Cotter Joint is expressed as 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). Here is an example- 6.5E-5 = (3*50000/(0.021478*0.0485^2))*((0.04+2*0.08)/12).

How to calculate Bending Stress in Cotter of Cotter Joint?

With Load on Cotter Joint (L), Thickness of Cotter (t_c), Mean Width of Cotter (b), Diameter of Spigot (d₂) & Diameter of Socket Collar (d₄) we can find Bending Stress in Cotter of Cotter Joint using the formula - 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).

Can the Bending Stress in Cotter of Cotter Joint be negative?

No, the Bending Stress in Cotter of Cotter Joint, measured in Stress cannot be negative.

Which unit is used to measure Bending Stress in Cotter of Cotter Joint?

Bending Stress in Cotter of Cotter Joint 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 Bending Stress in Cotter of Cotter Joint can be measured.

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Bending Stress in Cotter of Cotter Joint Formula

Bending Stress in Cotter of Cotter Joint Example

Bending Stress in Cotter of Cotter Joint Solution

Bending Stress in Cotter of Cotter Joint Formula Elements

Other formulas in Strength and Stress category

How to Evaluate Bending Stress in Cotter of Cotter Joint?

FAQs on Bending Stress in Cotter of Cotter Joint

Variable Name