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Diameter of shaft at bearing1 of side crankshaft at TDC position Formula

GoDiameter of journal at bearing1 of side crankshaft at TDC position Formula

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Diameter of Journal or Shaft at Bearing 1 is the inner diameter of the journal or outer diameter of the shaft at the 1st bearing of the crankshaft. Check FAQs

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

d₁ - Diameter of Journal or Shaft at Bearing 1?M_b - Bending Moment at Bearing1 of Crankshaft?σ_b - Bending Stress at Bearing1 of Crankshaft?π - Archimedes' constant?

Diameter of shaft at bearing1 of side crankshaft at TDC position Example

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Here is how the Diameter of shaft at bearing1 of side crankshaft at TDC position equation looks like with Values.

Here is how the Diameter of shaft at bearing1 of side crankshaft at TDC position equation looks like with Units.

Here is how the Diameter of shaft at bearing1 of side crankshaft at TDC position equation looks like.

60 = {(\frac{32 \cdot 650000}{3.1416 \cdot 30.6521})}^{\frac{1}{3}}

60mm = {(\frac{32 \cdot 650000N*mm}{3.1416 \cdot 30.6521N/mm²})}^{\frac{1}{3}}

60 = {(\frac{32 \cdot 650000}{3.1416 \cdot 30.6521})}^{\frac{1}{3}}

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Diameter of shaft at bearing1 of side crankshaft at TDC position Solution

Follow our step by step solution on how to calculate Diameter of shaft at bearing1 of side crankshaft at TDC position?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

d 1 = {(\frac{32 \cdot 650000N*mm}{π \cdot 30.6521N/mm²})}^{\frac{1}{3}}

Next Step Substitute values of Constants

∴

d 1 = {(\frac{32 \cdot 650000N*mm}{3.1416 \cdot 30.6521N/mm²})}^{\frac{1}{3}}

Next Step Convert Units

∴

d 1 = {(\frac{32 \cdot 650N*m}{3.1416 \cdot 3.1E+7Pa})}^{\frac{1}{3}}

Next Step Prepare to Evaluate

∴

d 1 = {(\frac{32 \cdot 650}{3.1416 \cdot 3.1E+7})}^{\frac{1}{3}}

Next Step Evaluate

∴

d 1 = 0.0600000020318338m

Next Step Convert to Output's Unit

∴

d 1 = 60.0000020318338mm

LAST Step Rounding Answer

∴

d 1 = 60mm

Diameter of shaft at bearing1 of side crankshaft at TDC position Formula Elements

Variables

Constants

Diameter of Journal or Shaft at Bearing 1

Diameter of Journal or Shaft at Bearing 1 is the inner diameter of the journal or outer diameter of the shaft at the 1st bearing of the crankshaft.

Symbol: d₁

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Diameter of Journal or Shaft at Bearing 1

Bending Moment at Bearing1 of Crankshaft

Bending Moment at Bearing1 of Crankshaft is the moment acting on the 1st bearing of the crankshaft which tends to bend it when a force acts on it.

Symbol: M_b

Measurement: TorqueUnit: N*mm

Note: Value should be greater than 0.

Formulas to find Bending Moment at Bearing1 of Crankshaft

Bending Stress at Bearing1 of Crankshaft

Bending Stress at Bearing1 of Crankshaft is the stress in the crankshaft under the 1st bearing of the crankshaft.

Symbol: σ_b

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Bending Stress at Bearing1 of Crankshaft

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 to find Diameter of Journal or Shaft at Bearing 1

Go Diameter of journal at bearing1 of side crankshaft at TDC position

d 1 = \frac{R 1}{l 1 \cdot P b}

Other formulas in Design of Bearing at Top Dead Centre Position category

Go Overhang Distance of piston force from Bearing 1 of side crankshaft at TDC position

b = \frac{R v \cdot c}{P p}

Go Length of Bearing 1 of Side Crankshaft at TDC Position given Bending Moment at Bearing

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

Go Minimum thickness of crankweb given crankpin diameter

t min = 0.45 \cdot d cp

Go Maximum thickness of crankweb given crankpin diameter

t pin = 0.75 \cdot d cp

How to Evaluate Diameter of shaft at bearing1 of side crankshaft at TDC position?

Diameter of shaft at bearing1 of side crankshaft at TDC position evaluator uses Diameter of Journal or Shaft at Bearing 1 = ((32*Bending Moment at Bearing1 of Crankshaft)/(pi*Bending Stress at Bearing1 of Crankshaft))^(1/3) to evaluate the Diameter of Journal or Shaft at Bearing 1, Diameter of shaft at bearing1 of side crankshaft at TDC position is the diameter of the part of the side crankshaft below the 1st bearing used to support the crankshaft. Diameter of Journal or Shaft at Bearing 1 is denoted by d₁ symbol.

How to evaluate Diameter of shaft at bearing1 of side crankshaft at TDC position using this online evaluator? To use this online evaluator for Diameter of shaft at bearing1 of side crankshaft at TDC position, enter Bending Moment at Bearing1 of Crankshaft (M_b) & Bending Stress at Bearing1 of Crankshaft (σ_b) and hit the calculate button.

FAQs on Diameter of shaft at bearing1 of side crankshaft at TDC position

What is the formula to find Diameter of shaft at bearing1 of side crankshaft at TDC position?

The formula of Diameter of shaft at bearing1 of side crankshaft at TDC position is expressed as Diameter of Journal or Shaft at Bearing 1 = ((32*Bending Moment at Bearing1 of Crankshaft)/(pi*Bending Stress at Bearing1 of Crankshaft))^(1/3). Here is an example- 71649.58 = ((32*650)/(pi*30652060))^(1/3).

How to calculate Diameter of shaft at bearing1 of side crankshaft at TDC position?

With Bending Moment at Bearing1 of Crankshaft (M_b) & Bending Stress at Bearing1 of Crankshaft (σ_b) we can find Diameter of shaft at bearing1 of side crankshaft at TDC position using the formula - Diameter of Journal or Shaft at Bearing 1 = ((32*Bending Moment at Bearing1 of Crankshaft)/(pi*Bending Stress at Bearing1 of Crankshaft))^(1/3). This formula also uses Archimedes' constant .

What are the other ways to Calculate Diameter of Journal or Shaft at Bearing 1?

Here are the different ways to Calculate Diameter of Journal or Shaft at Bearing 1-

Diameter of Journal or Shaft at Bearing 1=Resultant Reaction on CrankShaft Bearing 1/(Length of Bearing1 of Crankshaft*Bearing Pressure of Journal at Bearing 1)

Can the Diameter of shaft at bearing1 of side crankshaft at TDC position be negative?

No, the Diameter of shaft at bearing1 of side crankshaft at TDC position, measured in Length cannot be negative.

Which unit is used to measure Diameter of shaft at bearing1 of side crankshaft at TDC position?

Diameter of shaft at bearing1 of side crankshaft at TDC position is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Diameter of shaft at bearing1 of side crankshaft at TDC position can be measured.

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Diameter of shaft at bearing1 of side crankshaft at TDC position Formula

​GoDiameter of journal at bearing1 of side crankshaft at TDC position Formula

Diameter of shaft at bearing1 of side crankshaft at TDC position Example

Diameter of shaft at bearing1 of side crankshaft at TDC position Solution

Diameter of shaft at bearing1 of side crankshaft at TDC position Formula Elements

Other Formulas to find Diameter of Journal or Shaft at Bearing 1

Other formulas in Design of Bearing at Top Dead Centre Position category

How to Evaluate Diameter of shaft at bearing1 of side crankshaft at TDC position?

FAQs on Diameter of shaft at bearing1 of side crankshaft at TDC position

Variable Name

GoDiameter of journal at bearing1 of side crankshaft at TDC position Formula