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Resultant Bending moment at side crankshaft below flywheel at max torque given bearing reactions Formula

GoResultant Bending moment at side crankshaft below flywheel at max torque given moments Formula

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Total Bending Moment in Crankshaft Under Flywheel is the total amount of bending moment in the part of the crankshaft under the flywheel, due to bending moments in the horizontal and vertical plane. Check FAQs

M b r = (\sqrt{({((P r \cdot (b + c 1)) - (c 1 \cdot (R1 v + R' 1 v)))}^{2}) + ({((P t \cdot (b + c 1)) - (c 1 \cdot (R1 h + R' 1 h)))}^{2})})

M_br - Total Bending Moment in Crankshaft Under Flywheel?P_r - Radial Force at Crank Pin?b - Overhang Distance of Piston Force From Bearing1?c₁ - Side Crankshaft Bearing1 Gap From Flywheel?R1_v - Vertical Reaction at Bearing 1 Due to Radial Force?R'₁v - Vertical Reaction at Bearing 1 Due to Flywheel?P_t - Tangential Force at Crank Pin?R1_h - Horizontal Force at Bearing1 By Tangential Force?R'₁h - Horizontal Reaction at Bearing 1 Due to Belt?

Resultant Bending moment at side crankshaft below flywheel at max torque given bearing reactions Example

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Here is how the Resultant Bending moment at side crankshaft below flywheel at max torque given bearing reactions equation looks like with Values.

Here is how the Resultant Bending moment at side crankshaft below flywheel at max torque given bearing reactions equation looks like with Units.

Here is how the Resultant Bending moment at side crankshaft below flywheel at max torque given bearing reactions equation looks like.

100560.0477 = (\sqrt{({((3118.1 \cdot (300 + 205)) - (205 \cdot (5100 + 2300)))}^{2}) + ({((3613.665 \cdot (300 + 205)) - (205 \cdot (6000 + 2500)))}^{2})})

100560.0477N*mm = (\sqrt{({((3118.1N \cdot (300mm + 205mm)) - (205mm \cdot (5100N + 2300N)))}^{2}) + ({((3613.665N \cdot (300mm + 205mm)) - (205mm \cdot (6000N + 2500N)))}^{2})})

100560.0477 = (\sqrt{({((3118.1 \cdot (300 + 205)) - (205 \cdot (5100 + 2300)))}^{2}) + ({((3613.665 \cdot (300 + 205)) - (205 \cdot (6000 + 2500)))}^{2})})

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Resultant Bending moment at side crankshaft below flywheel at max torque given bearing reactions Solution

Follow our step by step solution on how to calculate Resultant Bending moment at side crankshaft below flywheel at max torque given bearing reactions?

FIRST Step Consider the formula

M b r = (\sqrt{({((P r \cdot (b + c 1)) - (c 1 \cdot (R1 v + R' 1 v)))}^{2}) + ({((P t \cdot (b + c 1)) - (c 1 \cdot (R1 h + R' 1 h)))}^{2})})

Next Step Substitute values of Variables

∴

M b r = (\sqrt{({((3118.1N \cdot (300mm + 205mm)) - (205mm \cdot (5100N + 2300N)))}^{2}) + ({((3613.665N \cdot (300mm + 205mm)) - (205mm \cdot (6000N + 2500N)))}^{2})})

Next Step Convert Units

∴

M b r = (\sqrt{({((3118.1N \cdot (0.3m + 0.205m)) - (0.205m \cdot (5100N + 2300N)))}^{2}) + ({((3613.665N \cdot (0.3m + 0.205m)) - (0.205m \cdot (6000N + 2500N)))}^{2})})

Next Step Prepare to Evaluate

∴

M b r = (\sqrt{({((3118.1 \cdot (0.3 + 0.205)) - (0.205 \cdot (5100 + 2300)))}^{2}) + ({((3613.665 \cdot (0.3 + 0.205)) - (0.205 \cdot (6000 + 2500)))}^{2})})

Next Step Evaluate

∴

M b r = 100.560047737313N*m

Next Step Convert to Output's Unit

∴

M b r = 100560.047737313N*mm

LAST Step Rounding Answer

∴

M b r = 100560.0477N*mm

Resultant Bending moment at side crankshaft below flywheel at max torque given bearing reactions Formula Elements

Variables

Functions

Total Bending Moment in Crankshaft Under Flywheel

Total Bending Moment in Crankshaft Under Flywheel is the total amount of bending moment in the part of the crankshaft under the flywheel, due to bending moments in the horizontal and vertical plane.

Symbol: M_br

Measurement: TorqueUnit: N*mm

Note: Value should be greater than 0.

Formulas to find Total Bending Moment in Crankshaft Under Flywheel

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

Overhang Distance of Piston Force From Bearing1

Overhang Distance of Piston Force From Bearing1 is the distance between the 1st bearing and the line of action of piston force onto the crank pin, useful in load calculation on side crankshaft.

Symbol: b

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Overhang Distance of Piston Force From Bearing1

Side Crankshaft Bearing1 Gap From Flywheel

Side Crankshaft Bearing1 Gap From Flywheel is the distance of 1st bearing of side crankshaft from the line of application of flywheel weight or from the flywheel center.

Symbol: c₁

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Side Crankshaft Bearing1 Gap From Flywheel

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: R1_v

Measurement: ForceUnit: N

Note: Value should be greater than 0.

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

Vertical Reaction at Bearing 1 Due to Flywheel

Vertical Reaction at Bearing 1 due to Flywheel Weight is the vertical reaction force acting on the 1st bearing of the crankshaft because of the weight of the flywheel.

Symbol: R'₁v

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Vertical Reaction at Bearing 1 Due to Flywheel

Tangential Force at Crank Pin

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

Symbol: P_t

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Tangential Force at Crank Pin

Horizontal Force at Bearing1 By Tangential Force

Horizontal Force at Bearing1 By Tangential Force is the horizontal reaction force on the 1st bearing of crankshaft because of the tangential component of thrust force acting on connecting rod.

Symbol: R1_h

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Horizontal Force at Bearing1 By Tangential Force

Horizontal Reaction at Bearing 1 Due to Belt

Horizontal Reaction at Bearing 1 Due to Belt Tension is the horizontal reaction force acting on the 1st bearing of the crankshaft because of the belt tensions.

Symbol: R'₁h

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Horizontal Reaction at Bearing 1 Due to Belt

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find Total Bending Moment in Crankshaft Under Flywheel

Go Resultant Bending moment at side crankshaft below flywheel at max torque given moments

M b r = \sqrt{{M b v}^{2} + {M b h}^{2}}

Other formulas in Design of Shaft Under Flywheel at Angle of Maximum Torque category

Go Vertical bending moment at central plane of side crankshaft below flywheel at max torque

M b v = (P r \cdot (b + c 1)) - (c 1 \cdot (R1 v + R' 1 v))

Go Horizontal Bending Moment at Central Plane of Side Crankshaft below Flywheel at max Torque

M b h = (P t \cdot (b + c 1)) - (c 1 \cdot (R1 h + R' 1 h))

How to Evaluate Resultant Bending moment at side crankshaft below flywheel at max torque given bearing reactions?

Resultant Bending moment at side crankshaft below flywheel at max torque given bearing reactions evaluator uses Total Bending Moment in Crankshaft Under Flywheel = (sqrt((((Radial Force at Crank Pin*(Overhang Distance of Piston Force From Bearing1+Side Crankshaft Bearing1 Gap From Flywheel))-(Side Crankshaft Bearing1 Gap From Flywheel*(Vertical Reaction at Bearing 1 Due to Radial Force+Vertical Reaction at Bearing 1 Due to Flywheel)))^2)+(((Tangential Force at Crank Pin*(Overhang Distance of Piston Force From Bearing1+Side Crankshaft Bearing1 Gap From Flywheel))-(Side Crankshaft Bearing1 Gap From Flywheel*(Horizontal Force at Bearing1 By Tangential Force+Horizontal Reaction at Bearing 1 Due to Belt)))^2))) to evaluate the Total Bending Moment in Crankshaft Under Flywheel, Resultant Bending moment at side crankshaft below flywheel at max torque given bearing reactions is the total amount of bending moment in the part of the side crankshaft under the flywheel, resultant of the bending moments in the horizontal and vertical plane, designed for when the crank is at the maximum torque position and subjected to maximum torsional moment. Total Bending Moment in Crankshaft Under Flywheel is denoted by M_br symbol.

How to evaluate Resultant Bending moment at side crankshaft below flywheel at max torque given bearing reactions using this online evaluator? To use this online evaluator for Resultant Bending moment at side crankshaft below flywheel at max torque given bearing reactions, enter Radial Force at Crank Pin (P_r), Overhang Distance of Piston Force From Bearing1 (b), Side Crankshaft Bearing1 Gap From Flywheel (c₁), Vertical Reaction at Bearing 1 Due to Radial Force (R1_v), Vertical Reaction at Bearing 1 Due to Flywheel (R'₁v), Tangential Force at Crank Pin (P_t), Horizontal Force at Bearing1 By Tangential Force (R1_h) & Horizontal Reaction at Bearing 1 Due to Belt (R'₁h) and hit the calculate button.

FAQs on Resultant Bending moment at side crankshaft below flywheel at max torque given bearing reactions

What is the formula to find Resultant Bending moment at side crankshaft below flywheel at max torque given bearing reactions?

The formula of Resultant Bending moment at side crankshaft below flywheel at max torque given bearing reactions is expressed as Total Bending Moment in Crankshaft Under Flywheel = (sqrt((((Radial Force at Crank Pin*(Overhang Distance of Piston Force From Bearing1+Side Crankshaft Bearing1 Gap From Flywheel))-(Side Crankshaft Bearing1 Gap From Flywheel*(Vertical Reaction at Bearing 1 Due to Radial Force+Vertical Reaction at Bearing 1 Due to Flywheel)))^2)+(((Tangential Force at Crank Pin*(Overhang Distance of Piston Force From Bearing1+Side Crankshaft Bearing1 Gap From Flywheel))-(Side Crankshaft Bearing1 Gap From Flywheel*(Horizontal Force at Bearing1 By Tangential Force+Horizontal Reaction at Bearing 1 Due to Belt)))^2))). Here is an example- 9.3E+9 = (sqrt((((3118.1*(0.3+0.205))-(0.205*(5100+2300)))^2)+(((3613.665*(0.3+0.205))-(0.205*(6000+2500)))^2))).

How to calculate Resultant Bending moment at side crankshaft below flywheel at max torque given bearing reactions?

With Radial Force at Crank Pin (P_r), Overhang Distance of Piston Force From Bearing1 (b), Side Crankshaft Bearing1 Gap From Flywheel (c₁), Vertical Reaction at Bearing 1 Due to Radial Force (R1_v), Vertical Reaction at Bearing 1 Due to Flywheel (R'₁v), Tangential Force at Crank Pin (P_t), Horizontal Force at Bearing1 By Tangential Force (R1_h) & Horizontal Reaction at Bearing 1 Due to Belt (R'₁h) we can find Resultant Bending moment at side crankshaft below flywheel at max torque given bearing reactions using the formula - Total Bending Moment in Crankshaft Under Flywheel = (sqrt((((Radial Force at Crank Pin*(Overhang Distance of Piston Force From Bearing1+Side Crankshaft Bearing1 Gap From Flywheel))-(Side Crankshaft Bearing1 Gap From Flywheel*(Vertical Reaction at Bearing 1 Due to Radial Force+Vertical Reaction at Bearing 1 Due to Flywheel)))^2)+(((Tangential Force at Crank Pin*(Overhang Distance of Piston Force From Bearing1+Side Crankshaft Bearing1 Gap From Flywheel))-(Side Crankshaft Bearing1 Gap From Flywheel*(Horizontal Force at Bearing1 By Tangential Force+Horizontal Reaction at Bearing 1 Due to Belt)))^2))). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Total Bending Moment in Crankshaft Under Flywheel?

Here are the different ways to Calculate Total Bending Moment in Crankshaft Under Flywheel-

Total Bending Moment in Crankshaft Under Flywheel=sqrt(Vertical Bending Moment in Shaft Under Flywheel^2+Horizontal Bending Moment in Shaft Under Flywheel^2)

Can the Resultant Bending moment at side crankshaft below flywheel at max torque given bearing reactions be negative?

No, the Resultant Bending moment at side crankshaft below flywheel at max torque given bearing reactions, measured in Torque cannot be negative.

Which unit is used to measure Resultant Bending moment at side crankshaft below flywheel at max torque given bearing reactions?

Resultant Bending moment at side crankshaft below flywheel at max torque given bearing reactions is usually measured using the Newton Millimeter[N*mm] for Torque. Newton Meter[N*mm], Newton Centimeter[N*mm], Kilonewton Meter[N*mm] are the few other units in which Resultant Bending moment at side crankshaft below flywheel at max torque given bearing reactions can be measured.

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Resultant Bending moment at side crankshaft below flywheel at max torque given bearing reactions Formula

​GoResultant Bending moment at side crankshaft below flywheel at max torque given moments Formula

Resultant Bending moment at side crankshaft below flywheel at max torque given bearing reactions Example

Resultant Bending moment at side crankshaft below flywheel at max torque given bearing reactions Solution

Resultant Bending moment at side crankshaft below flywheel at max torque given bearing reactions Formula Elements

Other Formulas to find Total Bending Moment in Crankshaft Under Flywheel

Other formulas in Design of Shaft Under Flywheel at Angle of Maximum Torque category

How to Evaluate Resultant Bending moment at side crankshaft below flywheel at max torque given bearing reactions?

FAQs on Resultant Bending moment at side crankshaft below flywheel at max torque given bearing reactions

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GoResultant Bending moment at side crankshaft below flywheel at max torque given moments Formula