Bending stress in 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%
✖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 Journal or Shaft at Bearing 1 [d₁]			+10% -10%

✖Bending Stress at Bearing1 of Crankshaft is the stress in the crankshaft under the 1st bearing of the crankshaft.ⓘ Bending stress in shaft at bearing1 of side crankshaft at TDC position [σ_b]

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Formula

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

Formula

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

Example

`"30.65206N/mm²"=(32*"650000N*mm")/(pi*("60mm")^3)`

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

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Bending Moment at Bearing1 of Crankshaft: 650000 Newton Millimeter --> 650 Newton Meter (Check conversion here)
Diameter of Journal or Shaft at Bearing 1: 60 Millimeter --> 0.06 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ_b = (32*M_b1)/(pi*d₁^3) --> (32*650)/(pi*0.06^3)

Evaluating ... ...

σ_b = 30652063.1139947

STEP 3: Convert Result to Output's Unit

30652063.1139947 Pascal -->30.6520631139947 Newton per Square Millimeter (Check conversion here)

FINAL ANSWER

30.6520631139947 ≈ 30.65206 Newton per Square Millimeter <-- Bending Stress at Bearing1 of Crankshaft

(Calculation completed in 00.020 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 » Bending stress in shaft at bearing1 of side crankshaft at TDC position

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< 14 Design of Bearing at Top Dead Centre Position Calculators

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

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))

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

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

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

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

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

How to calculate Bending stress in shaft at bearing1 of side crankshaft at TDC position using this online calculator? To use this online calculator for Bending stress in shaft at bearing1 of side crankshaft at TDC position, enter Bending Moment at Bearing1 of Crankshaft (M_b1) & Diameter of Journal or Shaft at Bearing 1 (d₁) and hit the calculate button. Here is how the Bending stress in shaft at bearing1 of side crankshaft at TDC position calculation can be explained with given input values -> 3.1E-5 = (32*650)/(pi*0.06^3).

FAQ

What is Bending stress in shaft at bearing1 of side crankshaft at TDC position?

Bending stress in shaft at bearing1 of side crankshaft at TDC position is the bending stress in the part of the side crankshaft below the 1st bearing used to support the crankshaft and is represented as σ_b = (32*M_b1)/(pi*d₁^3) or 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 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 & 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.

How to calculate Bending stress in shaft at bearing1 of side crankshaft at TDC position?

Bending stress in shaft at bearing1 of side crankshaft at TDC position is the bending stress in the part of the side crankshaft below the 1st bearing used to support the crankshaft is calculated using Bending Stress at Bearing1 of Crankshaft = (32*Bending Moment at Bearing1 of Crankshaft)/(pi*Diameter of Journal or Shaft at Bearing 1^3). To calculate Bending stress in shaft at bearing1 of side crankshaft at TDC position, you need Bending Moment at Bearing1 of Crankshaft (M_b1) & Diameter of Journal or Shaft at Bearing 1 (d₁). With our tool, you need to enter the respective value for Bending Moment at Bearing1 of Crankshaft & Diameter of Journal or Shaft at Bearing 1 and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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