Length of Bearing 1 of Side Crankshaft at TDC Position given Bending Moment at Bearing 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%
✖Force on crank pin is the force acting onto the crankpin used in the assembly of the crank, and the connecting rod.ⓘ Force on Crank Pin [P_p]			+10% -10%
✖Length of Crank Pin is the size of the crankpin from one end to the other and tells how long is the crankpin.ⓘ Length of Crank Pin [l_c]			+10% -10%
✖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.ⓘ Thickness of Crank Web [t]			+10% -10%

✖Length of Bearing1 of Crankshaft is the length of the 1st bearing of a crankshaft and this bearing supports the crankshaft.ⓘ Length of Bearing 1 of Side Crankshaft at TDC Position given Bending Moment at Bearing [l₁]

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Formula

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

Formula

`"l"_{"1"} = ((("M"_{"b"}"1")/"P"_{"p"})-(0.75*"l"_{"c"})-("t"))/0.5`

Example

`"522.1667mm"=(("650000N*mm"/"1950N")-(0.75*"43mm")-("40mm"))/0.5`

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

STEP 0: Pre-Calculation Summary

Formula Used

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
l₁ = ((M_b1/P_p)-(0.75*l_c)-(t))/0.5
This formula uses 5 Variables

Variables Used

Length of Bearing1 of Crankshaft - (Measured in Meter) - Length of Bearing1 of Crankshaft is the length of the 1st bearing of a crankshaft and this bearing supports 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.
Force on Crank Pin - (Measured in Newton) - Force on crank pin is the force acting onto the crankpin used in the assembly of the crank, and the connecting rod.
Length of Crank Pin - (Measured in Meter) - Length of Crank Pin is the size of the crankpin from one end to the other and tells how long is the crankpin.
Thickness of Crank Web - (Measured in Meter) - 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.

STEP 1: Convert Input(s) to Base Unit

Bending Moment at Bearing1 of Crankshaft: 650000 Newton Millimeter --> 650 Newton Meter (Check conversion here)
Force on Crank Pin: 1950 Newton --> 1950 Newton No Conversion Required
Length of Crank Pin: 43 Millimeter --> 0.043 Meter (Check conversion here)
Thickness of Crank Web: 40 Millimeter --> 0.04 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l₁ = ((M_b1/P_p)-(0.75*l_c)-(t))/0.5 --> ((650/1950)-(0.75*0.043)-(0.04))/0.5

Evaluating ... ...

l₁ = 0.522166666666667

STEP 3: Convert Result to Output's Unit

0.522166666666667 Meter -->522.166666666667 Millimeter (Check conversion here)

FINAL ANSWER

522.166666666667 ≈ 522.1667 Millimeter <-- Length of Bearing1 of Crankshaft

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

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Created by Saurabh Patil

Shri Govindram Seksaria Institute of Technology and Science (SGSITS ), Indore

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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

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

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
l₁ = ((M_b1/P_p)-(0.75*l_c)-(t))/0.5

Types of Crank Shaft

There are two types of crankshafts—side crankshaft and center crankshaft. The side crankshaft is also called the ‘overhung’ crankshaft. It has only one crank web and requires only two bearings for support. It is used in medium-size engines and large-size horizontal engines. The center crankshaft has two webs and three bearings for support. It is used in radial aircraft engines, stationary engines, and marine engines. It is more popular in automotive engines. Crankshafts are also classified as single-throw and multi-throw crankshafts depending upon the number of crankpins used in the assembly. Crankshafts used in multi-cylinder engines have more than one crank pin. They are called multi-throw crankshafts.

Types of Crankshaft

1. Single Piece Crankshaft
2. Built-up Crankshaft
3. Semi-built Crankshafts
4. Forged Crankshafts
5. Welded Crankshafts
6. Cast Crankshafts
7. Billet Crankshafts

How to Calculate Length of Bearing 1 of Side Crankshaft at TDC Position given Bending Moment at Bearing?

Length of Bearing 1 of Side Crankshaft at TDC Position given Bending Moment at Bearing calculator uses 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 to calculate the Length of Bearing1 of Crankshaft, Length of Bearing 1 of Side Crankshaft at TDC Position given Bending Moment at Bearing is the length of the 1st bearing of a side crankshaft, as more the length less will be the bearing pressure in bearing. Length of Bearing1 of Crankshaft is denoted by l₁ symbol.

How to calculate Length of Bearing 1 of Side Crankshaft at TDC Position given Bending Moment at Bearing using this online calculator? To use this online calculator for Length of Bearing 1 of Side Crankshaft at TDC Position given Bending Moment at Bearing, enter Bending Moment at Bearing1 of Crankshaft (M_b1), Force on Crank Pin (P_p), Length of Crank Pin (l_c) & Thickness of Crank Web (t) and hit the calculate button. Here is how the Length of Bearing 1 of Side Crankshaft at TDC Position given Bending Moment at Bearing calculation can be explained with given input values -> -77833.333333 = ((650/1950)-(0.75*0.043)-(0.04))/0.5.

FAQ

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

Length of Bearing 1 of Side Crankshaft at TDC Position given Bending Moment at Bearing is the length of the 1st bearing of a side crankshaft, as more the length less will be the bearing pressure in bearing and is represented as l₁ = ((M_b1/P_p)-(0.75*l_c)-(t))/0.5 or 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. 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, Force on crank pin is the force acting onto the crankpin used in the assembly of the crank, and the connecting rod, Length of Crank Pin is the size of the crankpin from one end to the other and tells how long is the crankpin & 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.

How to calculate Length of Bearing 1 of Side Crankshaft at TDC Position given Bending Moment at Bearing?

Length of Bearing 1 of Side Crankshaft at TDC Position given Bending Moment at Bearing is the length of the 1st bearing of a side crankshaft, as more the length less will be the bearing pressure in bearing is calculated using 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. To calculate Length of Bearing 1 of Side Crankshaft at TDC Position given Bending Moment at Bearing, you need Bending Moment at Bearing1 of Crankshaft (M_b1), Force on Crank Pin (P_p), Length of Crank Pin (l_c) & Thickness of Crank Web (t). With our tool, you need to enter the respective value for Bending Moment at Bearing1 of Crankshaft, Force on Crank Pin, Length of Crank Pin & Thickness of Crank Web 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 Length of Bearing1 of Crankshaft?

In this formula, Length of Bearing1 of Crankshaft uses Bending Moment at Bearing1 of Crankshaft, Force on Crank Pin, Length of Crank Pin & Thickness of Crank Web. We can use 3 other way(s) to calculate the same, which is/are as follows -

Length of Bearing1 of Crankshaft = 1.5*Diameter of Crank Pin
Length of Bearing1 of Crankshaft = 2*Diameter of Crank Pin
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)

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