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Bending stress in crankpin of centre crankshaft at TDC position given reaction on Bearing 1 Formula

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Bending Stress in Crankpin is the amount of bending stress induced in the crankpin when an external force or moment is applied to the crankpin causing it to bend. Check FAQs

σ p = \frac{R v1 \cdot b 1 \cdot 32}{π \cdot {d p}^{3}}

σ_p - Bending Stress in Crankpin?R_v1 - Vertical Reaction at Bearing 1 due to Crankpin?b₁ - Centre Crankshaft Bearing1 Gap from CrankPinCentre?d_p - Diameter of Crankpin?π - Archimedes' constant?

Bending stress in crankpin of centre crankshaft at TDC position given reaction on Bearing 1 Example

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Here is how the Bending stress in crankpin of centre crankshaft at TDC position given reaction on Bearing 1 equation looks like with Values.

Here is how the Bending stress in crankpin of centre crankshaft at TDC position given reaction on Bearing 1 equation looks like with Units.

Here is how the Bending stress in crankpin of centre crankshaft at TDC position given reaction on Bearing 1 equation looks like.

89.9403 = \frac{1200.1 \cdot 165 \cdot 32}{3.1416 \cdot {28.2}^{3}}

89.9403N/mm² = \frac{1200.1N \cdot 165mm \cdot 32}{3.1416 \cdot {28.2mm}^{3}}

89.9403 = \frac{1200.1 \cdot 165 \cdot 32}{3.1416 \cdot {28.2}^{3}}

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Bending stress in crankpin of centre crankshaft at TDC position given reaction on Bearing 1 Solution

Follow our step by step solution on how to calculate Bending stress in crankpin of centre crankshaft at TDC position given reaction on Bearing 1?

FIRST Step Consider the formula

σ p = \frac{R v1 \cdot b 1 \cdot 32}{π \cdot {d p}^{3}}

Next Step Substitute values of Variables

∴

σ p = \frac{1200.1N \cdot 165mm \cdot 32}{π \cdot {28.2mm}^{3}}

Next Step Substitute values of Constants

∴

σ p = \frac{1200.1N \cdot 165mm \cdot 32}{3.1416 \cdot {28.2mm}^{3}}

Next Step Convert Units

∴

σ p = \frac{1200.1N \cdot 0.165m \cdot 32}{3.1416 \cdot {0.0282m}^{3}}

Next Step Prepare to Evaluate

∴

σ p = \frac{1200.1 \cdot 0.165 \cdot 32}{3.1416 \cdot {0.0282}^{3}}

Next Step Evaluate

∴

σ p = 89940264.5421287Pa

Next Step Convert to Output's Unit

∴

σ p = 89.9402645421287N/mm²

LAST Step Rounding Answer

∴

σ p = 89.9403N/mm²

Bending stress in crankpin of centre crankshaft at TDC position given reaction on Bearing 1 Formula Elements

Variables

Constants

Bending Stress in Crankpin

Bending Stress in Crankpin is the amount of bending stress induced in the crankpin when an external force or moment is applied to the crankpin causing it to bend.

Symbol: σ_p

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Bending Stress in Crankpin

Vertical Reaction at Bearing 1 due to Crankpin

Vertical Reaction at Bearing 1 due to Crankpin Force is the vertical reaction force acting on the 1st bearing of the crankshaft because of the force acting onto the crankpin.

Symbol: R_v1

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Vertical Reaction at Bearing 1 due to Crankpin

Centre Crankshaft Bearing1 Gap from CrankPinCentre

Centre Crankshaft Bearing1 Gap from CrankPinCentre is the distance between the 1st bearing of a centre crankshaft and the line of action of force on the crank pin.

Symbol: b₁

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Centre Crankshaft Bearing1 Gap from CrankPinCentre

Diameter of Crankpin

Diameter of Crankpin is the diameter of the crank pin used in connecting the connecting rod with the crank.

Symbol: d_p

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Diameter of Crankpin

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 Bearing Reactions at Top Dead Centre Position category

Go Force on Crank Pin due to gas pressure inside cylinder

P p = π \cdot {D i}^{2} \cdot \frac{p max}{4}

Go Vertical Reaction on Bearing 2 of centre crankshaft at TDC position due to force on crank pin

R v2 = P p \cdot \frac{b 1}{b}

Go Vertical Reaction on Bearing 1 of centre crankshaft at TDC position due to force on crank pin

R v1 = P p \cdot \frac{b 2}{b}

Go Vertical Reaction on Bearing 3 of centre crankshaft at TDC position due to weight of flywheel

R v3 = W \cdot \frac{c}{c 1}

How to Evaluate Bending stress in crankpin of centre crankshaft at TDC position given reaction on Bearing 1?

Bending stress in crankpin of centre crankshaft at TDC position given reaction on Bearing 1 evaluator uses Bending Stress in Crankpin = (Vertical Reaction at Bearing 1 due to Crankpin*Centre Crankshaft Bearing1 Gap from CrankPinCentre*32)/(pi*Diameter of Crankpin^3) to evaluate the Bending Stress in Crankpin, Bending stress in crankpin of centre crankshaft at TDC position given reaction on Bearing 1 is the amount of Bending stress generated into the crankpin of the centre crankshaft at TDC position at its central plane when an external force or moment, here due to the gas force on the piston is applied to the crankpin causing it to bend, designed for when the crank is at the top dead center position and subjected to maximum bending moment and no torsional moment. Bending Stress in Crankpin is denoted by σ_p symbol.

How to evaluate Bending stress in crankpin of centre crankshaft at TDC position given reaction on Bearing 1 using this online evaluator? To use this online evaluator for Bending stress in crankpin of centre crankshaft at TDC position given reaction on Bearing 1, enter Vertical Reaction at Bearing 1 due to Crankpin (R_v1), Centre Crankshaft Bearing1 Gap from CrankPinCentre (b₁) & Diameter of Crankpin (d_p) and hit the calculate button.

FAQs on Bending stress in crankpin of centre crankshaft at TDC position given reaction on Bearing 1

What is the formula to find Bending stress in crankpin of centre crankshaft at TDC position given reaction on Bearing 1?

The formula of Bending stress in crankpin of centre crankshaft at TDC position given reaction on Bearing 1 is expressed as Bending Stress in Crankpin = (Vertical Reaction at Bearing 1 due to Crankpin*Centre Crankshaft Bearing1 Gap from CrankPinCentre*32)/(pi*Diameter of Crankpin^3). Here is an example- 9E-5 = (1200.1*0.165*32)/(pi*0.0282^3).

How to calculate Bending stress in crankpin of centre crankshaft at TDC position given reaction on Bearing 1?

With Vertical Reaction at Bearing 1 due to Crankpin (R_v1), Centre Crankshaft Bearing1 Gap from CrankPinCentre (b₁) & Diameter of Crankpin (d_p) we can find Bending stress in crankpin of centre crankshaft at TDC position given reaction on Bearing 1 using the formula - Bending Stress in Crankpin = (Vertical Reaction at Bearing 1 due to Crankpin*Centre Crankshaft Bearing1 Gap from CrankPinCentre*32)/(pi*Diameter of Crankpin^3). This formula also uses Archimedes' constant .

Can the Bending stress in crankpin of centre crankshaft at TDC position given reaction on Bearing 1 be negative?

No, the Bending stress in crankpin of centre crankshaft at TDC position given reaction on Bearing 1, measured in Stress cannot be negative.

Which unit is used to measure Bending stress in crankpin of centre crankshaft at TDC position given reaction on Bearing 1?

Bending stress in crankpin of centre crankshaft at TDC position given reaction on Bearing 1 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 crankpin of centre crankshaft at TDC position given reaction on Bearing 1 can be measured.

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Bending stress in crankpin of centre crankshaft at TDC position given reaction on Bearing 1 Formula

Bending stress in crankpin of centre crankshaft at TDC position given reaction on Bearing 1 Example

Bending stress in crankpin of centre crankshaft at TDC position given reaction on Bearing 1 Solution

Bending stress in crankpin of centre crankshaft at TDC position given reaction on Bearing 1 Formula Elements

Other formulas in Bearing Reactions at Top Dead Centre Position category

How to Evaluate Bending stress in crankpin of centre crankshaft at TDC position given reaction on Bearing 1?

FAQs on Bending stress in crankpin of centre crankshaft at TDC position given reaction on Bearing 1

Variable Name