FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Diameter of Socket Collar of Cotter Joint given Bending Stress in Cotter Formula

GoDiameter of Socket Collar given Rod Diameter Formula

GoDiameter of socket collar of cotter joint given shear stress in socket Formula

Fx Copy

LaTeX Copy

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

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

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

Diameter of Socket Collar of Cotter Joint given Bending Stress in Cotter Example

With values

With units

Only example

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

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

Here is how the Diameter of Socket Collar of Cotter Joint given Bending Stress in Cotter equation looks like.

178.0448 = \frac{4 \cdot {48.5}^{2} \cdot 98 \cdot \frac{21.478}{50000} - 40}{2}

178.0448mm = \frac{4 \cdot {48.5mm}^{2} \cdot 98N/mm² \cdot \frac{21.478mm}{50000N} - 40mm}{2}

178.0448 = \frac{4 \cdot {48.5}^{2} \cdot 98 \cdot \frac{21.478}{50000} - 40}{2}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Physics » Category

Mechanical » Category

Design of Machine Elements » fx Diameter of Socket Collar of Cotter Joint given Bending Stress in Cotter

Diameter of Socket Collar of Cotter Joint given Bending Stress in Cotter Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

d 4 = \frac{4 \cdot {48.5mm}^{2} \cdot 98N/mm² \cdot \frac{21.478mm}{50000N} - 40mm}{2}

Next Step Convert Units

∴

d 4 = \frac{4 \cdot {0.0485m}^{2} \cdot 9.8E+7Pa \cdot \frac{0.0215m}{50000N} - 0.04m}{2}

Next Step Prepare to Evaluate

∴

d 4 = \frac{4 \cdot {0.0485}^{2} \cdot 9.8E+7 \cdot \frac{0.0215}{50000} - 0.04}{2}

Next Step Evaluate

∴

d 4 = 0.17804477196m

Next Step Convert to Output's Unit

∴

d 4 = 178.04477196mm

LAST Step Rounding Answer

∴

d 4 = 178.0448mm

Diameter of Socket Collar of Cotter Joint given Bending Stress in Cotter Formula Elements

Variables

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

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

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

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

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

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

Other Formulas to find Diameter of Socket Collar

Go Diameter of Socket Collar given Rod Diameter

d 4 = 2.4 \cdot d

Go Diameter of socket collar of cotter joint given shear stress in socket

d 4 = \frac{L}{2 \cdot c \cdot τ so} + d 2

Go Diameter of Socket Collar of Cotter Joint given Compressive Stress

d 4 = d 2 + \frac{L}{t c \cdot σ c1}

Other formulas in Joint Geometry and Dimensions category

Go Minimum Diameter of Spigot in Cotter Joint Subjected to Crushing Stress

d 2 = \frac{L}{σ c \cdot t c}

Go Diameter of Spigot Collar given Rod Diameter

d 3 = 1.5 \cdot d

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

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

Go Diameter of Spigot of Cotter Joint given Compressive Stress

d 2 = d 4 - \frac{L}{t c \cdot σ c1}

How to Evaluate Diameter of Socket Collar of Cotter Joint given Bending Stress in Cotter?

Diameter of Socket Collar of Cotter Joint given Bending Stress in Cotter evaluator uses Diameter of Socket Collar = (4*Mean Width of Cotter^2*Bending Stress in Cotter*(Thickness of Cotter)/Load on Cotter Joint-Diameter of Spigot)/2 to evaluate the Diameter of Socket Collar, Diameter of socket collar of cotter joint given bending stress in cotter is the required diameter of the collar of the socket of a cotter joint when a bending force acts onto the socket. Diameter of Socket Collar is denoted by d₄ symbol.

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

FAQs on Diameter of Socket Collar of Cotter Joint given Bending Stress in Cotter

What is the formula to find Diameter of Socket Collar of Cotter Joint given Bending Stress in Cotter?

The formula of Diameter of Socket Collar of Cotter Joint given Bending Stress in Cotter is expressed as Diameter of Socket Collar = (4*Mean Width of Cotter^2*Bending Stress in Cotter*(Thickness of Cotter)/Load on Cotter Joint-Diameter of Spigot)/2. Here is an example- 130299.4 = (4*0.0485^2*98000000*(0.021478)/50000-0.04)/2.

How to calculate Diameter of Socket Collar of Cotter Joint given Bending Stress in Cotter?

With Mean Width of Cotter (b), Bending Stress in Cotter (σ_b), Thickness of Cotter (t_c), Load on Cotter Joint (L) & Diameter of Spigot (d₂) we can find Diameter of Socket Collar of Cotter Joint given Bending Stress in Cotter using the formula - Diameter of Socket Collar = (4*Mean Width of Cotter^2*Bending Stress in Cotter*(Thickness of Cotter)/Load on Cotter Joint-Diameter of Spigot)/2.

What are the other ways to Calculate Diameter of Socket Collar?

Here are the different ways to Calculate Diameter of Socket Collar-

Diameter of Socket Collar=2.4*Diameter of Rod of Cotter Joint
Diameter of Socket Collar=(Load on Cotter Joint)/(2*Axial Distance From Slot to End of Socket Collar*Shear Stress in Socket)+Diameter of Spigot
Diameter of Socket Collar=Diameter of Spigot+(Load on Cotter Joint)/(Thickness of Cotter*Compressive Stress in Spigot)

Can the Diameter of Socket Collar of Cotter Joint given Bending Stress in Cotter be negative?

No, the Diameter of Socket Collar of Cotter Joint given Bending Stress in Cotter, measured in Length cannot be negative.

Which unit is used to measure Diameter of Socket Collar of Cotter Joint given Bending Stress in Cotter?

Diameter of Socket Collar of Cotter Joint given Bending Stress in Cotter is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Diameter of Socket Collar of Cotter Joint given Bending Stress in Cotter can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

Diameter of Socket Collar of Cotter Joint given Bending Stress in Cotter Formula

​GoDiameter of Socket Collar given Rod Diameter Formula

​GoDiameter of socket collar of cotter joint given shear stress in socket Formula

Diameter of Socket Collar of Cotter Joint given Bending Stress in Cotter Example

Diameter of Socket Collar of Cotter Joint given Bending Stress in Cotter Solution

Diameter of Socket Collar of Cotter Joint given Bending Stress in Cotter Formula Elements

Other Formulas to find Diameter of Socket Collar

Other formulas in Joint Geometry and Dimensions category

How to Evaluate Diameter of Socket Collar of Cotter Joint given Bending Stress in Cotter?

FAQs on Diameter of Socket Collar of Cotter Joint given Bending Stress in Cotter

Variable Name

GoDiameter of Socket Collar given Rod Diameter Formula

GoDiameter of socket collar of cotter joint given shear stress in socket Formula