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

GoBending moment at bearing 1 of side crankshaft at TDC position Formula

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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. Check FAQs

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

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

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

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

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

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

649999.934 = \frac{30.6521 \cdot 3.1416 \cdot 60^{3}}{32}

649999.934N*mm = \frac{30.6521N/mm² \cdot 3.1416 \cdot {60mm}^{3}}{32}

649999.934 = \frac{30.6521 \cdot 3.1416 \cdot 60^{3}}{32}

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

M b = \frac{30.6521N/mm² \cdot π \cdot {60mm}^{3}}{32}

Next Step Substitute values of Constants

∴

M b = \frac{30.6521N/mm² \cdot 3.1416 \cdot {60mm}^{3}}{32}

Next Step Convert Units

∴

M b = \frac{3.1E+7Pa \cdot 3.1416 \cdot {0.06m}^{3}}{32}

Next Step Prepare to Evaluate

∴

M b = \frac{3.1E+7 \cdot 3.1416 \cdot {0.06}^{3}}{32}

Next Step Evaluate

∴

M b = 649.999933965406N*m

Next Step Convert to Output's Unit

∴

M b = 649999.933965406N*mm

LAST Step Rounding Answer

∴

M b = 649999.934N*mm

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

Variables

Constants

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

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

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 Bending Moment at Bearing1 of Crankshaft

Go Bending moment at bearing 1 of side crankshaft at TDC position

M b = P p \cdot ((0.75 \cdot l c) + (t) + (0.5 \cdot l 1))

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

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

How to evaluate Bending moment in shaft at bearing1 of side crankshaft at TDC position using this online evaluator? To use this online evaluator for Bending moment in shaft at bearing1 of side crankshaft at TDC position, enter Bending Stress at Bearing1 of Crankshaft (σ_b) & Diameter of Journal or Shaft at Bearing 1 (d₁) and hit the calculate button.

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

What is the formula to find Bending moment in shaft at bearing1 of side crankshaft at TDC position?

The formula of Bending moment in shaft at bearing1 of side crankshaft at TDC position is expressed as Bending Moment at Bearing1 of Crankshaft = (Bending Stress at Bearing1 of Crankshaft*pi*Diameter of Journal or Shaft at Bearing 1^3)/32. Here is an example- 3.8E+8 = (30652060*pi*0.06^3)/32.

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

With Bending Stress at Bearing1 of Crankshaft (σ_b) & Diameter of Journal or Shaft at Bearing 1 (d₁) we can find Bending moment in shaft at bearing1 of side crankshaft at TDC position using the formula - Bending Moment at Bearing1 of Crankshaft = (Bending Stress at Bearing1 of Crankshaft*pi*Diameter of Journal or Shaft at Bearing 1^3)/32. This formula also uses Archimedes' constant .

What are the other ways to Calculate Bending Moment at Bearing1 of Crankshaft?

Here are the different ways to Calculate Bending Moment at 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*Length of Bearing1 of Crankshaft))

Can the Bending moment in shaft at bearing1 of side crankshaft at TDC position be negative?

No, the Bending moment in shaft at bearing1 of side crankshaft at TDC position, measured in Torque cannot be negative.

Which unit is used to measure Bending moment in shaft at bearing1 of side crankshaft at TDC position?

Bending moment in shaft at bearing1 of side crankshaft at TDC position is usually measured using the Newton Millimeter[N*mm] for Torque. Newton Meter[N*mm], Newton Centimeter[N*mm], Kilonewton Meter[N*mm] are the few other units in which Bending moment in shaft at bearing1 of side crankshaft at TDC position can be measured.

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

​GoBending moment at bearing 1 of side crankshaft at TDC position Formula

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

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

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

Other Formulas to find Bending Moment at Bearing1 of Crankshaft

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

How to Evaluate Bending moment in shaft at bearing1 of side crankshaft at TDC position?

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

Variable Name

GoBending moment at bearing 1 of side crankshaft at TDC position Formula