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Diameter of crankpin given mean bending stress in crankpin Formula

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Diameter of Crank Pin is the diameter of the crank pin used in connecting the connecting rod with the crank. Check FAQs

D cp = {(\frac{32 \cdot M b pin}{π \cdot σ b pin})}^{\frac{1}{3}}

D_cp - Diameter of Crank Pin?M_bpin - Bending Moment at Central Plane of Crankpin?σ_bpin - Bending Stress in Crankpin?π - Archimedes' constant?

Diameter of crankpin given mean bending stress in crankpin Example

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Here is how the Diameter of crankpin given mean bending stress in crankpin equation looks like with Values.

Here is how the Diameter of crankpin given mean bending stress in crankpin equation looks like with Units.

Here is how the Diameter of crankpin given mean bending stress in crankpin equation looks like.

48 = {(\frac{32 \cdot 100000}{3.1416 \cdot 9.2104})}^{\frac{1}{3}}

48mm = {(\frac{32 \cdot 100000N*mm}{3.1416 \cdot 9.2104N/mm²})}^{\frac{1}{3}}

48 = {(\frac{32 \cdot 100000}{3.1416 \cdot 9.2104})}^{\frac{1}{3}}

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Diameter of crankpin given mean bending stress in crankpin Solution

Follow our step by step solution on how to calculate Diameter of crankpin given mean bending stress in crankpin?

FIRST Step Consider the formula

D cp = {(\frac{32 \cdot M b pin}{π \cdot σ b pin})}^{\frac{1}{3}}

Next Step Substitute values of Variables

∴

D cp = {(\frac{32 \cdot 100000N*mm}{π \cdot 9.2104N/mm²})}^{\frac{1}{3}}

Next Step Substitute values of Constants

∴

D cp = {(\frac{32 \cdot 100000N*mm}{3.1416 \cdot 9.2104N/mm²})}^{\frac{1}{3}}

Next Step Convert Units

∴

D cp = {(\frac{32 \cdot 100N*m}{3.1416 \cdot 9.2E+6Pa})}^{\frac{1}{3}}

Next Step Prepare to Evaluate

∴

D cp = {(\frac{32 \cdot 100}{3.1416 \cdot 9.2E+6})}^{\frac{1}{3}}

Next Step Evaluate

∴

D cp = 0.0479999991366296m

Next Step Convert to Output's Unit

∴

D cp = 47.9999991366296mm

LAST Step Rounding Answer

∴

D cp = 48mm

Diameter of crankpin given mean bending stress in crankpin Formula Elements

Variables

Constants

Diameter of Crank Pin

Diameter of Crank Pin is the diameter of the crank pin used in connecting the connecting rod with the crank.

Symbol: D_cp

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Diameter of Crank Pin

Bending Moment at Central Plane of Crankpin

Bending Moment at Central Plane of Crankpin is the reaction induced in the central plane of the crankpin when an external force or moment is applied to the crankpin causing it to bend.

Symbol: M_bpin

Measurement: TorqueUnit: N*mm

Note: Value should be greater than 0.

Formulas to find Bending Moment at Central Plane of Crankpin

Bending Stress in Crankpin

Bending Stress in Crankpin is the amount of bending stress induced in the crankpin when an external force or moment is applied to the crankpin causing it to bend.

Symbol: σ_bpin

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Bending Stress in Crankpin

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 Design of Crank Pin at Top Dead Centre Position category

Go Minimum length of crankpin given crankpin diameter

L c = 0.6 \cdot D cp

Go Maximum length of crankpin given crankpin diameter

L c = 1.4 \cdot D cp

Go Maximum bending moment in crankpin when load is uniformly distributed along length as cantilever

M b pin = (\frac{1}{2}) \cdot (P p \cdot L c)

Go Maximum bending moment in crankpin when load acts at end point on crankpin as cantilever beam

M b pin = (P p \cdot L c)

How to Evaluate Diameter of crankpin given mean bending stress in crankpin?

Diameter of crankpin given mean bending stress in crankpin evaluator uses Diameter of Crank Pin = ((32*Bending Moment at Central Plane of Crankpin)/(pi*Bending Stress in Crankpin))^(1/3) to evaluate the Diameter of Crank Pin, Diameter of crankpin given mean bending stress in crankpin is the diameter of the crankpin of the crank and connecting rod assembly. Diameter of Crank Pin is denoted by D_cp symbol.

How to evaluate Diameter of crankpin given mean bending stress in crankpin using this online evaluator? To use this online evaluator for Diameter of crankpin given mean bending stress in crankpin, enter Bending Moment at Central Plane of Crankpin (M_bpin) & Bending Stress in Crankpin (σ_bpin) and hit the calculate button.

FAQs on Diameter of crankpin given mean bending stress in crankpin

What is the formula to find Diameter of crankpin given mean bending stress in crankpin?

The formula of Diameter of crankpin given mean bending stress in crankpin is expressed as Diameter of Crank Pin = ((32*Bending Moment at Central Plane of Crankpin)/(pi*Bending Stress in Crankpin))^(1/3). Here is an example- 37706.44 = ((32*100)/(pi*9210356))^(1/3).

How to calculate Diameter of crankpin given mean bending stress in crankpin?

With Bending Moment at Central Plane of Crankpin (M_bpin) & Bending Stress in Crankpin (σ_bpin) we can find Diameter of crankpin given mean bending stress in crankpin using the formula - Diameter of Crank Pin = ((32*Bending Moment at Central Plane of Crankpin)/(pi*Bending Stress in Crankpin))^(1/3). This formula also uses Archimedes' constant .

Can the Diameter of crankpin given mean bending stress in crankpin be negative?

No, the Diameter of crankpin given mean bending stress in crankpin, measured in Length cannot be negative.

Which unit is used to measure Diameter of crankpin given mean bending stress in crankpin?

Diameter of crankpin given mean bending stress in crankpin is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Diameter of crankpin given mean bending stress in crankpin can be measured.

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Diameter of crankpin given mean bending stress in crankpin Formula

Diameter of crankpin given mean bending stress in crankpin Example

Diameter of crankpin given mean bending stress in crankpin Solution

Diameter of crankpin given mean bending stress in crankpin Formula Elements

Other formulas in Design of Crank Pin at Top Dead Centre Position category

How to Evaluate Diameter of crankpin given mean bending stress in crankpin?

FAQs on Diameter of crankpin given mean bending stress in crankpin

Variable Name