FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Bending stress at central plane of crank web of centre crankshaft at TDC position Formula

GoMaximum Bending stress in crank web of centre crankshaft at TDC position given bending moment Formula

Fx Copy

LaTeX Copy

Bending Stress in Crankweb is the bending stress in the crank web due to the bending moment acting onto the crank web. Check FAQs

σ w = \frac{6 \cdot R v1 \cdot (b 1 - \frac{l c}{2} - \frac{t}{2})}{w \cdot t^{2}}

σ_w - Bending Stress in Crankweb?R_v1 - Vertical Reaction at Bearing 1?b₁ - Centre Crankshaft Bearing1 Gap from CrankPinCentre?l_c - Length of Crank Pin?t - Thickness of Crank Web?w - Width of Crank Web?

Bending stress at central plane of crank web of centre crankshaft at TDC position Example

With values

With units

Only example

Here is how the Bending stress at central plane of crank web of centre crankshaft at TDC position equation looks like with Values.

Here is how the Bending stress at central plane of crank web of centre crankshaft at TDC position equation looks like with Units.

Here is how the Bending stress at central plane of crank web of centre crankshaft at TDC position equation looks like.

30.0094 = \frac{6 \cdot 10725 \cdot (90 - \frac{43}{2} - \frac{40}{2})}{65 \cdot 40^{2}}

30.0094N/mm² = \frac{6 \cdot 10725N \cdot (90mm - \frac{43mm}{2} - \frac{40mm}{2})}{65mm \cdot {40mm}^{2}}

30.0094 = \frac{6 \cdot 10725 \cdot (90 - \frac{43}{2} - \frac{40}{2})}{65 \cdot 40^{2}}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Physics » Category

Mechanical » Category

IC Engine » fx Bending stress at central plane of crank web of centre crankshaft at TDC position

Bending stress at central plane of crank web of centre crankshaft at TDC position Solution

Follow our step by step solution on how to calculate Bending stress at central plane of crank web of centre crankshaft at TDC position?

FIRST Step Consider the formula

σ w = \frac{6 \cdot R v1 \cdot (b 1 - \frac{l c}{2} - \frac{t}{2})}{w \cdot t^{2}}

Next Step Substitute values of Variables

∴

σ w = \frac{6 \cdot 10725N \cdot (90mm - \frac{43mm}{2} - \frac{40mm}{2})}{65mm \cdot {40mm}^{2}}

Next Step Convert Units

∴

σ w = \frac{6 \cdot 10725N \cdot (0.09m - \frac{0.043m}{2} - \frac{0.04m}{2})}{0.065m \cdot {0.04m}^{2}}

Next Step Prepare to Evaluate

∴

σ w = \frac{6 \cdot 10725 \cdot (0.09 - \frac{0.043}{2} - \frac{0.04}{2})}{0.065 \cdot {0.04}^{2}}

Next Step Evaluate

∴

σ w = 30009375Pa

Next Step Convert to Output's Unit

∴

σ w = 30.009375N/mm²

LAST Step Rounding Answer

∴

σ w = 30.0094N/mm²

Bending stress at central plane of crank web of centre crankshaft at TDC position Formula Elements

Variables

Bending Stress in Crankweb

Bending Stress in Crankweb is the bending stress in the crank web due to the bending moment acting onto the crank web.

Symbol: σ_w

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Bending Stress in Crankweb

Vertical Reaction at Bearing 1

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

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

Length of Crank Pin

Length of Crank Pin is the size of the crankpin from one end to the other and tells how long is the crankpin.

Symbol: l_c

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Length of Crank Pin

Thickness of Crank Web

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.

Symbol: t

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Thickness of Crank Web

Width of Crank Web

Width of Crank Web is defined as the width of the crank web (the portion of a crank between the crankpin and the shaft) measured perpendicular to the crankpin longitudinal axis.

Symbol: w

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Width of Crank Web

Other Formulas to find Bending Stress in Crankweb

Go Maximum Bending stress in crank web of centre crankshaft at TDC position given bending moment

σ w = \frac{M b \cdot 6}{w \cdot t^{2}}

Other formulas in Design of Crank Web at Top Dead Centre Position category

Go Width of crank web of centre crankshaft at TDC position given diameter of crank pin

w = 1.14 \cdot d c

Go Thickness of crank web of centre crankshaft at TDC position given diameter of crank pin

t = 0.7 \cdot d c

Go Direct compressive stress in central plane of crank web of centre crankshaft at TDC position

σ c = \frac{R v1}{w \cdot t}

Go Width of crank web of centre crankshaft at TDC position given compressive stress

w = \frac{R v1}{σ c \cdot t}

How to Evaluate Bending stress at central plane of crank web of centre crankshaft at TDC position?

Bending stress at central plane of crank web of centre crankshaft at TDC position evaluator uses Bending Stress in Crankweb = (6*Vertical Reaction at Bearing 1*(Centre Crankshaft Bearing1 Gap from CrankPinCentre-Length of Crank Pin/2-Thickness of Crank Web/2))/(Width of Crank Web*Thickness of Crank Web^2) to evaluate the Bending Stress in Crankweb, Bending stress at central plane of crank web of centre crankshaft at TDC position is the amount of bending stress generated into the central plane of the crank web, 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 Crankweb is denoted by σ_w symbol.

How to evaluate Bending stress at central plane of crank web of centre crankshaft at TDC position using this online evaluator? To use this online evaluator for Bending stress at central plane of crank web of centre crankshaft at TDC position, enter Vertical Reaction at Bearing 1 (R_v1), Centre Crankshaft Bearing1 Gap from CrankPinCentre (b₁), Length of Crank Pin (l_c), Thickness of Crank Web (t) & Width of Crank Web (w) and hit the calculate button.

FAQs on Bending stress at central plane of crank web of centre crankshaft at TDC position

What is the formula to find Bending stress at central plane of crank web of centre crankshaft at TDC position?

The formula of Bending stress at central plane of crank web of centre crankshaft at TDC position is expressed as Bending Stress in Crankweb = (6*Vertical Reaction at Bearing 1*(Centre Crankshaft Bearing1 Gap from CrankPinCentre-Length of Crank Pin/2-Thickness of Crank Web/2))/(Width of Crank Web*Thickness of Crank Web^2). Here is an example- 3E-5 = (6*10725*(0.09-0.043/2-0.04/2))/(0.065*0.04^2).

How to calculate Bending stress at central plane of crank web of centre crankshaft at TDC position?

With Vertical Reaction at Bearing 1 (R_v1), Centre Crankshaft Bearing1 Gap from CrankPinCentre (b₁), Length of Crank Pin (l_c), Thickness of Crank Web (t) & Width of Crank Web (w) we can find Bending stress at central plane of crank web of centre crankshaft at TDC position using the formula - Bending Stress in Crankweb = (6*Vertical Reaction at Bearing 1*(Centre Crankshaft Bearing1 Gap from CrankPinCentre-Length of Crank Pin/2-Thickness of Crank Web/2))/(Width of Crank Web*Thickness of Crank Web^2).

What are the other ways to Calculate Bending Stress in Crankweb?

Here are the different ways to Calculate Bending Stress in Crankweb-

Bending Stress in Crankweb=(Bending Moment at Central Plane of Crank Web*6)/(Width of Crank Web*Thickness of Crank Web^2)

Can the Bending stress at central plane of crank web of centre crankshaft at TDC position be negative?

No, the Bending stress at central plane of crank web of centre crankshaft at TDC position, measured in Stress cannot be negative.

Which unit is used to measure Bending stress at central plane of crank web of centre crankshaft at TDC position?

Bending stress at central plane of crank web of centre 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 at central plane of crank web of centre crankshaft at TDC position can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

Bending stress at central plane of crank web of centre crankshaft at TDC position Formula

​GoMaximum Bending stress in crank web of centre crankshaft at TDC position given bending moment Formula

Bending stress at central plane of crank web of centre crankshaft at TDC position Example

Bending stress at central plane of crank web of centre crankshaft at TDC position Solution

Bending stress at central plane of crank web of centre crankshaft at TDC position Formula Elements

Other Formulas to find Bending Stress in Crankweb

Other formulas in Design of Crank Web at Top Dead Centre Position category

How to Evaluate Bending stress at central plane of crank web of centre crankshaft at TDC position?

FAQs on Bending stress at central plane of crank web of centre crankshaft at TDC position

Variable Name

GoMaximum Bending stress in crank web of centre crankshaft at TDC position given bending moment Formula