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

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Total Compressive stress in crank web central plane is the sum of Compressive Stress in Crank Web Central Plane and Bending Stress in Crankpin. Check FAQs

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

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

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

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

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

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

34.1344 = \frac{10725}{65 \cdot 40} + (\frac{6 \cdot 10725 \cdot (90 - \frac{43}{2} - \frac{40}{2})}{65 \cdot 40^{2}})

34.1344N/mm² = \frac{10725N}{65mm \cdot 40mm} + (\frac{6 \cdot 10725N \cdot (90mm - \frac{43mm}{2} - \frac{40mm}{2})}{65mm \cdot {40mm}^{2}})

34.1344 = \frac{10725}{65 \cdot 40} + (\frac{6 \cdot 10725 \cdot (90 - \frac{43}{2} - \frac{40}{2})}{65 \cdot 40^{2}})

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

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

FIRST Step Consider the formula

σ t = \frac{R v1}{w \cdot t} + (\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 t = \frac{10725N}{65mm \cdot 40mm} + (\frac{6 \cdot 10725N \cdot (90mm - \frac{43mm}{2} - \frac{40mm}{2})}{65mm \cdot {40mm}^{2}})

Next Step Convert Units

∴

σ t = \frac{10725N}{0.065m \cdot 0.04m} + (\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 t = \frac{10725}{0.065 \cdot 0.04} + (\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 t = 34134375Pa

Next Step Convert to Output's Unit

∴

σ t = 34.134375N/mm²

LAST Step Rounding Answer

∴

σ t = 34.1344N/mm²

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

Variables

Total Compressive Stress in Crank Web

Total Compressive stress in crank web central plane is the sum of Compressive Stress in Crank Web Central Plane and Bending Stress in Crankpin.

Symbol: σ_t

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Total Compressive Stress in Crank Web

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

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

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

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

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 Total compressive stress at central plane of crank web of centre crankshaft at TDC position?

Total compressive stress at central plane of crank web of centre crankshaft at TDC position evaluator uses Total Compressive Stress in Crank Web = Vertical Reaction at Bearing 1/(Width of Crank Web*Thickness of Crank Web)+((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 Total Compressive Stress in Crank Web, Total compressive stress at central plane of crank web of centre crankshaft at TDC position is the total amount of compressive stresses generated into the crank web due to a result a direct compressive stress and the bending stress, designed for when the crank is at the top dead center position and subjected to maximum bending moment and no torsional moment. Total Compressive Stress in Crank Web is denoted by σ_t symbol.

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

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

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

The formula of Total compressive stress at central plane of crank web of centre crankshaft at TDC position is expressed as Total Compressive Stress in Crank Web = Vertical Reaction at Bearing 1/(Width of Crank Web*Thickness of Crank Web)+((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- 3.4E-5 = 10725/(0.065*0.04)+((6*10725*(0.09-0.043/2-0.04/2))/(0.065*0.04^2)).

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

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

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

No, the Total compressive 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 Total compressive stress at central plane of crank web of centre crankshaft at TDC position?

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

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

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

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

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

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

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

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

Variable Name