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Length of crankpin given bending stress in central plane of crankweb Formula

GoLength of crankpin given bending moment in central plane of crankweb Formula

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Length of Crank Pin is the size of the crankpin from one end to the other and tells how long is the crankpin. Check FAQs

l c = \frac{\frac{\frac{σ b \cdot t^{2} \cdot w}{6}}{P} - 0.5 \cdot t}{0.75}

l_c - Length of Crank Pin?σ_b - Bending Stress in Crankweb?t - Thickness of Crank Web?w - Width of Crank Web?P - Force on Crankweb?

Length of crankpin given bending stress in central plane of crankweb Example

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Here is how the Length of crankpin given bending stress in central plane of crankweb equation looks like with Values.

Here is how the Length of crankpin given bending stress in central plane of crankweb equation looks like with Units.

Here is how the Length of crankpin given bending stress in central plane of crankweb equation looks like.

24.6044 = \frac{\frac{\frac{14.42 \cdot 40^{2} \cdot 65}{6}}{6500} - 0.5 \cdot 40}{0.75}

24.6044mm = \frac{\frac{\frac{14.42N/mm² \cdot {40mm}^{2} \cdot 65mm}{6}}{6500N} - 0.5 \cdot 40mm}{0.75}

24.6044 = \frac{\frac{\frac{14.42 \cdot 40^{2} \cdot 65}{6}}{6500} - 0.5 \cdot 40}{0.75}

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Length of crankpin given bending stress in central plane of crankweb Solution

Follow our step by step solution on how to calculate Length of crankpin given bending stress in central plane of crankweb?

FIRST Step Consider the formula

l c = \frac{\frac{\frac{σ b \cdot t^{2} \cdot w}{6}}{P} - 0.5 \cdot t}{0.75}

Next Step Substitute values of Variables

∴

l c = \frac{\frac{\frac{14.42N/mm² \cdot {40mm}^{2} \cdot 65mm}{6}}{6500N} - 0.5 \cdot 40mm}{0.75}

Next Step Convert Units

∴

l c = \frac{\frac{\frac{1.4E+7Pa \cdot {0.04m}^{2} \cdot 0.065m}{6}}{6500N} - 0.5 \cdot 0.04m}{0.75}

Next Step Prepare to Evaluate

∴

l c = \frac{\frac{\frac{1.4E+7 \cdot {0.04}^{2} \cdot 0.065}{6}}{6500} - 0.5 \cdot 0.04}{0.75}

Next Step Evaluate

∴

l c = 0.0246044444444445m

Next Step Convert to Output's Unit

∴

l c = 24.6044444444445mm

LAST Step Rounding Answer

∴

l c = 24.6044mm

Length of crankpin given bending stress in central plane of crankweb Formula Elements

Variables

Length of Crank Pin

Length of Crank Pin is the size of the crankpin from one end to the other and tells how long is the crankpin.

Symbol: l_c

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Length of Crank Pin

Bending Stress in Crankweb

Bending Stress in Crankweb is the bending stress in the crank web due to the bending moment acting onto the crank web.

Symbol: σ_b

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Bending Stress in Crankweb

Thickness of Crank Web

Thickness of Crank Web is defined as the thickness of the crank web (the portion of a crank between the crankpin and the shaft) measured parallel to the crankpin longitudinal axis.

Symbol: t

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Thickness of Crank Web

Width of Crank Web

Width of Crank Web is defined as the width of the crank web (the portion of a crank between the crankpin and the shaft) measured perpendicular to the crankpin longitudinal axis.

Symbol: w

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Width of Crank Web

Force on Crankweb

Force on Crankweb is the force acting onto the crankweb used in assembly of crankshaft & connecting rod, converts reciprocation of piston to rotation of crankshaft.

Symbol: P

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Force on Crankweb

Other Formulas to find Length of Crank Pin

Go Length of crankpin given bending moment in central plane of crankweb

l c = \frac{\frac{M b}{P} - 0.5 \cdot t}{0.75}

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

Go Thickness of crankweb given bending moment at bearing 1 of side crankshaft at TDC position

t = \frac{M b1}{P p} - 0.75 \cdot l c - 0.5 \cdot l 1

Go Direct compressive stress in central plane of crankweb of side crankshaft at TDC Position

σ dc = \frac{P}{w \cdot t}

Go Bending moment in central plane of crankweb

M b = P \cdot (l c \cdot 0.75 + \frac{t}{2})

Go Bending stress in central plane of crankweb

σ b = \frac{6 \cdot (P \cdot (l c \cdot 0.75 + \frac{t}{2}))}{t^{2} \cdot w}

How to Evaluate Length of crankpin given bending stress in central plane of crankweb?

Length of crankpin given bending stress in central plane of crankweb evaluator uses Length of Crank Pin = (((Bending Stress in Crankweb*Thickness of Crank Web^2*Width of Crank Web)/6)/Force on Crankweb-0.5*Thickness of Crank Web)/0.75 to evaluate the Length of Crank Pin, Length of crankpin given bending stress in central plane of crankweb is the total length of the crankpin that is used in the assembly of connecting rod with the crank. Length of Crank Pin is denoted by l_c symbol.

How to evaluate Length of crankpin given bending stress in central plane of crankweb using this online evaluator? To use this online evaluator for Length of crankpin given bending stress in central plane of crankweb, enter Bending Stress in Crankweb (σ_b), Thickness of Crank Web (t), Width of Crank Web (w) & Force on Crankweb (P) and hit the calculate button.

FAQs on Length of crankpin given bending stress in central plane of crankweb

What is the formula to find Length of crankpin given bending stress in central plane of crankweb?

The formula of Length of crankpin given bending stress in central plane of crankweb is expressed as Length of Crank Pin = (((Bending Stress in Crankweb*Thickness of Crank Web^2*Width of Crank Web)/6)/Force on Crankweb-0.5*Thickness of Crank Web)/0.75. Here is an example- 24604.44 = (((14420000*0.04^2*0.065)/6)/6500-0.5*0.04)/0.75.

How to calculate Length of crankpin given bending stress in central plane of crankweb?

With Bending Stress in Crankweb (σ_b), Thickness of Crank Web (t), Width of Crank Web (w) & Force on Crankweb (P) we can find Length of crankpin given bending stress in central plane of crankweb using the formula - Length of Crank Pin = (((Bending Stress in Crankweb*Thickness of Crank Web^2*Width of Crank Web)/6)/Force on Crankweb-0.5*Thickness of Crank Web)/0.75.

What are the other ways to Calculate Length of Crank Pin?

Here are the different ways to Calculate Length of Crank Pin-

Length of Crank Pin=(Bending Moment at Central Plane of Crank Web/Force on Crankweb-0.5*Thickness of Crank Web)/0.75

Can the Length of crankpin given bending stress in central plane of crankweb be negative?

No, the Length of crankpin given bending stress in central plane of crankweb, measured in Length cannot be negative.

Which unit is used to measure Length of crankpin given bending stress in central plane of crankweb?

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

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Length of crankpin given bending stress in central plane of crankweb Formula

​GoLength of crankpin given bending moment in central plane of crankweb Formula

Length of crankpin given bending stress in central plane of crankweb Example

Length of crankpin given bending stress in central plane of crankweb Solution

Length of crankpin given bending stress in central plane of crankweb Formula Elements

Other Formulas to find Length of Crank Pin

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

How to Evaluate Length of crankpin given bending stress in central plane of crankweb?

FAQs on Length of crankpin given bending stress in central plane of crankweb

Variable Name

GoLength of crankpin given bending moment in central plane of crankweb Formula