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

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

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

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

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

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

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

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

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

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

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

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

σ b = \frac{32 \cdot 650000N*mm}{π \cdot {60mm}^{3}}

Next Step Substitute values of Constants

∴

σ b = \frac{32 \cdot 650000N*mm}{3.1416 \cdot {60mm}^{3}}

Next Step Convert Units

∴

σ b = \frac{32 \cdot 650N*m}{3.1416 \cdot {0.06m}^{3}}

Next Step Prepare to Evaluate

∴

σ b = \frac{32 \cdot 650}{3.1416 \cdot {0.06}^{3}}

Next Step Evaluate

∴

σ b = 30652063.1139947Pa

Next Step Convert to Output's Unit

∴

σ b = 30.6520631139947N/mm²

LAST Step Rounding Answer

∴

σ b = 30.6521N/mm²

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

Variables

Constants

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

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

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

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

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

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

The formula of Bending stress in shaft at bearing1 of side crankshaft at TDC position is expressed as Bending Stress at Bearing1 of Crankshaft = (32*Bending Moment at Bearing1 of Crankshaft)/(pi*Diameter of Journal or Shaft at Bearing 1^3). Here is an example- 3.1E-5 = (32*650)/(pi*0.06^3).

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

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

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

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

Which unit is used to measure 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 usually measured using the Newton per Square Millimeter[N/mm²] for Stress. Pascal[N/mm²], Newton per Square Meter[N/mm²], Kilonewton per Square Meter[N/mm²] are the few other units in which Bending stress in shaft at bearing1 of side crankshaft at TDC position can be measured.

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

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

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

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

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

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

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

Variable Name