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

✖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.ⓘ Bending Moment at Bearing1 of Crankshaft [M_b1]			+10% -10%
✖Bending Stress at Bearing1 of Crankshaft is the stress in the crankshaft under the 1st bearing of the crankshaft.ⓘ Bending Stress at Bearing1 of Crankshaft [σ_b]			+10% -10%

✖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.ⓘ Diameter of shaft at bearing1 of side crankshaft at TDC position [d₁]

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Formula

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Diameter of shaft at bearing1 of side crankshaft at TDC position

Formula

`"d"_{"1"} = ( (32*("M"_{"b"}"1"))/(pi*"σ"_{"b"}))^(1/3)`

Example

`"71.64958mm"=( (32*"650000N*mm")/(pi*"18N/mm²"))^(1/3)`

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

STEP 0: Pre-Calculation Summary

Formula Used

Diameter of Journal or Shaft at Bearing 1 = ( (32*Bending Moment at Bearing1 of Crankshaft)/(pi*Bending Stress at Bearing1 of Crankshaft))^(1/3)
d₁ = ( (32*M_b1)/(pi*σ_b))^(1/3)
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Diameter of Journal or Shaft at Bearing 1 - (Measured in Meter) - 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.
Bending Moment at Bearing1 of Crankshaft - (Measured in Newton Meter) - 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.
Bending Stress at Bearing1 of Crankshaft - (Measured in Pascal) - Bending Stress at Bearing1 of Crankshaft is the stress in the crankshaft under the 1st bearing of the crankshaft.

STEP 1: Convert Input(s) to Base Unit

Bending Moment at Bearing1 of Crankshaft: 650000 Newton Millimeter --> 650 Newton Meter (Check conversion here)
Bending Stress at Bearing1 of Crankshaft: 18 Newton per Square Millimeter --> 18000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d₁ = ( (32*M_b1)/(pi*σ_b))^(1/3) --> ( (32*650)/(pi*18000000))^(1/3)

Evaluating ... ...

d₁ = 0.0716495805645982

STEP 3: Convert Result to Output's Unit

0.0716495805645982 Meter -->71.6495805645982 Millimeter (Check conversion here)

FINAL ANSWER

71.6495805645982 ≈ 71.64958 Millimeter <-- Diameter of Journal or Shaft at Bearing 1

(Calculation completed in 00.004 seconds)

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Home » Physics » IC Engine » Design of IC Engine Components » Crankshaft » Design of Side Crankshaft » Design of Bearing at Top Dead Centre Position » Diameter of shaft at bearing1 of side crankshaft at TDC position

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< 14 Design of Bearing at Top Dead Centre Position Calculators

Bending moment at bearing 1 of side crankshaft at TDC position

Go Bending Moment at Bearing1 of Crankshaft = Force on Crank Pin*((0.75*Length of Crank Pin) +(Thickness of Crank Web)+(0.5*Length of Bearing1 of Crankshaft))

Length of crankpin given bending moment at bearing 1 of side crankshaft at TDC position

Go Length of Crank Pin = ((Bending Moment at Bearing1 of Crankshaft/Force on Crank Pin)-(Thickness of Crank Web)-(0.5*Length of Bearing1 of Crankshaft))/0.75

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

Go Length of Bearing1 of Crankshaft = ((Bending Moment at Bearing1 of Crankshaft/Force on Crank Pin)-(0.75*Length of Crank Pin)-(Thickness of Crank Web))/0.5

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

Go Overhang Distance of Piston Force from Bearing1 = (Vertical Reaction at Bearing 2 due to Crankpin*Distance Between Bearing1&2 of Side Crankshaft)/Force on Crank Pin

Bearing pressure at bearing1 of side crankshaft at TDC position

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

Diameter of journal at bearing1 of side crankshaft at TDC position

Go 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)

Length of bearing1 of side crankshaft at TDC position

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

Diameter of shaft at bearing1 of side crankshaft at TDC position

Go Diameter of Journal or Shaft at Bearing 1 = ( (32*Bending Moment at Bearing1 of Crankshaft)/(pi*Bending Stress at Bearing1 of Crankshaft))^(1/3)

Bending stress in shaft at bearing1 of side crankshaft at TDC position

Go Bending Stress at Bearing1 of Crankshaft = (32*Bending Moment at Bearing1 of Crankshaft)/(pi*Diameter of Journal or Shaft at Bearing 1^3)

Bending moment in shaft at bearing1 of side crankshaft at TDC position

Go Bending Moment at Bearing1 of Crankshaft = (Bending Stress at Bearing1 of Crankshaft*pi*Diameter of Journal or Shaft at Bearing 1^3)/32

Minimum length of Bearing 1 of side crankshaft at TDC position given crankpin diameter

Go Length of Bearing1 of Crankshaft = 1.5*Diameter of Crank Pin

Maximum length of Bearing 1 of side crankshaft at TDC position given crankpin diameter

Go Length of Bearing1 of Crankshaft = 2*Diameter of Crank Pin

Minimum thickness of crankweb given crankpin diameter

Go Thickness of Crank Web = 0.45*Diameter of Crank Pin

Maximum thickness of crankweb given crankpin diameter

Go Thickness of Crank Web = 0.75*Diameter of Crank Pin

Diameter of shaft at bearing1 of side crankshaft at TDC position 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)
d₁ = ( (32*M_b1)/(pi*σ_b))^(1/3)

How are bearings classified?

Depending upon the direction of the load to be supported, the bearings can be classified as Radial and Thrust bearings. In radial bearings, the load acts perpendicular to the direction of motion of the moving element. In thrust bearings, the load acts along the axis of rotation. Depending upon the nature of the contact, the bearings can be classified as sliding contact and rolling contact bearings. In sliding contact bearings, the sliding takes place along the surfaces of contact between the moving element and the fixed element. The sliding contact bearings are also known as plain bearings. In rolling contact bearings, the steel balls or rollers, are interposed between the moving and fixed elements. The balls offer rolling friction at two points for each ball or roller.

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

Diameter of shaft at bearing1 of side crankshaft at TDC position calculator 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 calculate 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 calculate Diameter of shaft at bearing1 of side crankshaft at TDC position using this online calculator? To use this online calculator for Diameter of shaft at bearing1 of side crankshaft at TDC position, enter Bending Moment at Bearing1 of Crankshaft (M_b1) & Bending Stress at Bearing1 of Crankshaft (σ_b) and hit the calculate button. Here is how the Diameter of shaft at bearing1 of side crankshaft at TDC position calculation can be explained with given input values -> 71649.58 = ( (32*650)/(pi*18000000))^(1/3).

FAQ

What is Diameter of shaft at bearing1 of side crankshaft at TDC position?

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 and is represented as d₁ = ( (32*M_b1)/(pi*σ_b))^(1/3) or Diameter of Journal or Shaft at Bearing 1 = ( (32*Bending Moment at Bearing1 of Crankshaft)/(pi*Bending Stress at Bearing1 of Crankshaft))^(1/3). 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 & Bending Stress at Bearing1 of Crankshaft is the stress in the crankshaft under the 1st bearing of the crankshaft.

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

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 is calculated using 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 calculate Diameter of shaft at bearing1 of side crankshaft at TDC position, you need Bending Moment at Bearing1 of Crankshaft (M_b1) & Bending Stress at Bearing1 of Crankshaft (σ_b). With our tool, you need to enter the respective value for Bending Moment at Bearing1 of Crankshaft & Bending Stress at Bearing1 of Crankshaft and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Diameter of Journal or Shaft at Bearing 1?

In this formula, Diameter of Journal or Shaft at Bearing 1 uses Bending Moment at Bearing1 of Crankshaft & Bending Stress at Bearing1 of Crankshaft. We can use 1 other way(s) to calculate the same, which is/are as follows -

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)

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