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

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Bending Moment at Central Plane of Crank Web is the reaction induced in the central plane of the crank web when an external force or moment is applied to the crank web causing it to bend. Check FAQs

M b = R v1 \cdot (b 1 - \frac{l c}{2} - \frac{t}{2})

M_b - Bending Moment at Central Plane of Crank Web?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?

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

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

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

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

520.1625 = 10725 \cdot (90 - \frac{43}{2} - \frac{40}{2})

520.1625N*m = 10725N \cdot (90mm - \frac{43mm}{2} - \frac{40mm}{2})

520.1625 = 10725 \cdot (90 - \frac{43}{2} - \frac{40}{2})

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

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

FIRST Step Consider the formula

M b = R v1 \cdot (b 1 - \frac{l c}{2} - \frac{t}{2})

Next Step Substitute values of Variables

∴

M b = 10725N \cdot (90mm - \frac{43mm}{2} - \frac{40mm}{2})

Next Step Convert Units

∴

M b = 10725N \cdot (0.09m - \frac{0.043m}{2} - \frac{0.04m}{2})

Next Step Prepare to Evaluate

∴

M b = 10725 \cdot (0.09 - \frac{0.043}{2} - \frac{0.04}{2})

LAST Step Evaluate

∴

M b = 520.1625N*m

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

Variables

Bending Moment at Central Plane of Crank Web

Bending Moment at Central Plane of Crank Web is the reaction induced in the central plane of the crank web when an external force or moment is applied to the crank web causing it to bend.

Symbol: M_b

Measurement: TorqueUnit: N*m

Note: Value should be greater than 0.

Formulas to find Bending Moment at Central Plane of 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

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

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 moment at central plane of crank web of centre crankshaft at TDC position?

Bending moment at central plane of crank web of centre crankshaft at TDC position evaluator uses Bending Moment at Central Plane of Crank Web = Vertical Reaction at Bearing 1*(Centre Crankshaft Bearing1 Gap from CrankPinCentre-Length of Crank Pin/2-Thickness of Crank Web/2) to evaluate the Bending Moment at Central Plane of Crank Web, Bending moment at central plane of crank web of centre crankshaft at TDC position is the amount of bending moment onto the crank web due to the reaction force onto the bearings, designed for when the crank is at the top dead center position and subjected to maximum bending moment and no torsional moment. Bending Moment at Central Plane of Crank Web is denoted by M_b symbol.

How to evaluate Bending moment at central plane of crank web of centre crankshaft at TDC position using this online evaluator? To use this online evaluator for Bending moment 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) and hit the calculate button.

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

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

The formula of Bending moment at central plane of crank web of centre crankshaft at TDC position is expressed as Bending Moment at Central Plane of Crank Web = Vertical Reaction at Bearing 1*(Centre Crankshaft Bearing1 Gap from CrankPinCentre-Length of Crank Pin/2-Thickness of Crank Web/2). Here is an example- 5.2E+8 = 10725*(0.09-0.043/2-0.04/2).

How to calculate Bending moment 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) we can find Bending moment at central plane of crank web of centre crankshaft at TDC position using the formula - Bending Moment at Central Plane of Crank Web = Vertical Reaction at Bearing 1*(Centre Crankshaft Bearing1 Gap from CrankPinCentre-Length of Crank Pin/2-Thickness of Crank Web/2).

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

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

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

Bending moment at central plane of crank web of centre crankshaft at TDC position is usually measured using the Newton Meter[N*m] for Torque. Newton Centimeter[N*m], Newton Millimeter[N*m], Kilonewton Meter[N*m] are the few other units in which Bending moment at central plane of crank web of centre crankshaft at TDC position can be measured.

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

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

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

Bending moment 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 Bending moment at central plane of crank web of centre crankshaft at TDC position?

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

Variable Name