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Bending moment in vertical plane of centre crankshaft at juncture of right crankweb for max torque Formula

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Vertical Bending Moment at Crank web Joint is the bending moment in the vertical plane of the crankshaft at the juncture of the crank web. Check FAQs

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

M_bv - Vertical Bending Moment at Crank web Joint?R_v1 - Vertical Reaction at Bearing 1 due to Radial Force?b₁ - Distance from Bearing 1 to Center of Crank Pin?l_c - Length of Crank Pin?t - Thickness of Crank Web?P_r - Radial Force at Crank Pin?

Bending moment in vertical plane of centre crankshaft at juncture of right crankweb for max torque Example

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Here is how the Bending moment in vertical plane of centre crankshaft at juncture of right crankweb for max torque equation looks like with Values.

Here is how the Bending moment in vertical plane of centre crankshaft at juncture of right crankweb for max torque equation looks like with Units.

Here is how the Bending moment in vertical plane of centre crankshaft at juncture of right crankweb for max torque equation looks like.

109.9 = (5100 \cdot (155 + (\frac{43}{2}) + (\frac{40}{2}))) - (21500 \cdot ((\frac{43}{2}) + (\frac{40}{2})))

109.9N*m = (5100N \cdot (155mm + (\frac{43mm}{2}) + (\frac{40mm}{2}))) - (21500N \cdot ((\frac{43mm}{2}) + (\frac{40mm}{2})))

109.9 = (5100 \cdot (155 + (\frac{43}{2}) + (\frac{40}{2}))) - (21500 \cdot ((\frac{43}{2}) + (\frac{40}{2})))

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Bending moment in vertical plane of centre crankshaft at juncture of right crankweb for max torque Solution

Follow our step by step solution on how to calculate Bending moment in vertical plane of centre crankshaft at juncture of right crankweb for max torque?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

M bv = (5100N \cdot (155mm + (\frac{43mm}{2}) + (\frac{40mm}{2}))) - (21500N \cdot ((\frac{43mm}{2}) + (\frac{40mm}{2})))

Next Step Convert Units

∴

M bv = (5100N \cdot (0.155m + (\frac{0.043m}{2}) + (\frac{0.04m}{2}))) - (21500N \cdot ((\frac{0.043m}{2}) + (\frac{0.04m}{2})))

Next Step Prepare to Evaluate

∴

M bv = (5100 \cdot (0.155 + (\frac{0.043}{2}) + (\frac{0.04}{2}))) - (21500 \cdot ((\frac{0.043}{2}) + (\frac{0.04}{2})))

LAST Step Evaluate

∴

M bv = 109.9N*m

Bending moment in vertical plane of centre crankshaft at juncture of right crankweb for max torque Formula Elements

Variables

Vertical Bending Moment at Crank web Joint

Vertical Bending Moment at Crank web Joint is the bending moment in the vertical plane of the crankshaft at the juncture of the crank web.

Symbol: M_bv

Measurement: TorqueUnit: N*m

Note: Value should be greater than 0.

Formulas to find Vertical Bending Moment at Crank web Joint

Vertical Reaction at Bearing 1 due to Radial Force

Vertical Reaction at Bearing 1 due to Radial Force is the vertical reaction force on the 1st bearing of the crankshaft because of the radial component of thrust force acting on connecting rod.

Symbol: R_v1

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Vertical Reaction at Bearing 1 due to Radial Force

Distance from Bearing 1 to Center of Crank Pin

Distance from bearing 1 to center of crank pin is the distance between the 1st bearing of a center 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 Distance from Bearing 1 to Center of Crank Pin

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

Radial Force at Crank Pin

Radial Force at Crank Pin is the component of thrust force on connecting rod acting at the crankpin in the direction radially to the connecting rod.

Symbol: P_r

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Radial Force at Crank Pin

Other formulas in Design of Shaft at Juncture of Crank Web at Angle of Maximum Torque category

Go Diameter of centre crankshaft at juncture of right crankweb for max torque given moments

d s1 = {((\frac{16}{π \cdot τ}) \cdot \sqrt{({M b}^{2}) + ({M t}^{2})})}^{\frac{1}{3}}

Go Bending moment in horizontal plane of centre crankshaft at juncture of right crankweb for max torque

M bh = R h1 \cdot (b 1 + (\frac{l c}{2}) + (\frac{t}{2})) - P t \cdot ((\frac{l c}{2}) + (\frac{t}{2}))

Go Torsional moment in centre crankshaft at juncture of right crankweb for maximum torque

M t = P t \cdot r

Go Resultant bending moment in centre crankshaft at juncture of right crankweb for maximum torque

M b = \sqrt{({M bv}^{2}) + ({M bh}^{2})}

How to Evaluate Bending moment in vertical plane of centre crankshaft at juncture of right crankweb for max torque?

Bending moment in vertical plane of centre crankshaft at juncture of right crankweb for max torque evaluator uses Vertical Bending Moment at Crank web Joint = (Vertical Reaction at Bearing 1 due to Radial Force*(Distance from Bearing 1 to Center of Crank Pin+(Length of Crank Pin/2)+(Thickness of Crank Web/2)))-(Radial Force at Crank Pin*((Length of Crank Pin/2)+(Thickness of Crank Web/2))) to evaluate the Vertical Bending Moment at Crank web Joint, Bending moment in vertical plane of centre crankshaft at juncture of right crankweb for max torque is the amount of bending moment at the centre crankshaft at the juncture of the right crank web and the crankshaft when the crankshaft is designed for the maximum torsional moment. Vertical Bending Moment at Crank web Joint is denoted by M_bv symbol.

How to evaluate Bending moment in vertical plane of centre crankshaft at juncture of right crankweb for max torque using this online evaluator? To use this online evaluator for Bending moment in vertical plane of centre crankshaft at juncture of right crankweb for max torque, enter Vertical Reaction at Bearing 1 due to Radial Force (R_v1), Distance from Bearing 1 to Center of Crank Pin (b₁), Length of Crank Pin (l_c), Thickness of Crank Web (t) & Radial Force at Crank Pin (P_r) and hit the calculate button.

FAQs on Bending moment in vertical plane of centre crankshaft at juncture of right crankweb for max torque

What is the formula to find Bending moment in vertical plane of centre crankshaft at juncture of right crankweb for max torque?

The formula of Bending moment in vertical plane of centre crankshaft at juncture of right crankweb for max torque is expressed as Vertical Bending Moment at Crank web Joint = (Vertical Reaction at Bearing 1 due to Radial Force*(Distance from Bearing 1 to Center of Crank Pin+(Length of Crank Pin/2)+(Thickness of Crank Web/2)))-(Radial Force at Crank Pin*((Length of Crank Pin/2)+(Thickness of Crank Web/2))). Here is an example- 109.9 = (5100*(0.155+(0.043/2)+(0.04/2)))-(21500*((0.043/2)+(0.04/2))).

How to calculate Bending moment in vertical plane of centre crankshaft at juncture of right crankweb for max torque?

With Vertical Reaction at Bearing 1 due to Radial Force (R_v1), Distance from Bearing 1 to Center of Crank Pin (b₁), Length of Crank Pin (l_c), Thickness of Crank Web (t) & Radial Force at Crank Pin (P_r) we can find Bending moment in vertical plane of centre crankshaft at juncture of right crankweb for max torque using the formula - Vertical Bending Moment at Crank web Joint = (Vertical Reaction at Bearing 1 due to Radial Force*(Distance from Bearing 1 to Center of Crank Pin+(Length of Crank Pin/2)+(Thickness of Crank Web/2)))-(Radial Force at Crank Pin*((Length of Crank Pin/2)+(Thickness of Crank Web/2))).

Can the Bending moment in vertical plane of centre crankshaft at juncture of right crankweb for max torque be negative?

No, the Bending moment in vertical plane of centre crankshaft at juncture of right crankweb for max torque, measured in Torque cannot be negative.

Which unit is used to measure Bending moment in vertical plane of centre crankshaft at juncture of right crankweb for max torque?

Bending moment in vertical plane of centre crankshaft at juncture of right crankweb for max torque 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 in vertical plane of centre crankshaft at juncture of right crankweb for max torque can be measured.

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Bending moment in vertical plane of centre crankshaft at juncture of right crankweb for max torque Formula

Bending moment in vertical plane of centre crankshaft at juncture of right crankweb for max torque Example

Bending moment in vertical plane of centre crankshaft at juncture of right crankweb for max torque Solution

Bending moment in vertical plane of centre crankshaft at juncture of right crankweb for max torque Formula Elements

Other formulas in Design of Shaft at Juncture of Crank Web at Angle of Maximum Torque category

How to Evaluate Bending moment in vertical plane of centre crankshaft at juncture of right crankweb for max torque?

FAQs on Bending moment in vertical plane of centre crankshaft at juncture of right crankweb for max torque

Variable Name