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

✖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.ⓘ Vertical Reaction at Bearing 1 due to Radial Force [R_1v]			+10% -10%
✖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.ⓘ Distance from Bearing 1 to Center of Crank Pin [b₁]			+10% -10%
✖Length of crank pin is the size of the crankpin from one end to the other and tells how long is the crankpin.ⓘ Length of Crank Pin [l_c]			+10% -10%
✖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.ⓘ Thickness of Crank Web [t]			+10% -10%
✖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.ⓘ Radial Force at Crank Pin [P_r]			+10% -10%

✖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.ⓘ Bending moment in vertical plane of centre crankshaft at juncture of right crankweb for max torque [M_{b V}]

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Formula

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

Formula

`"M"_{"b V"} = ("R"_{"1v"}*("b"_{"1"}+("l"_{"c"}/2)+("t"/2)))-("P"_{"r"}*(("l"_{"c"}/2)+("t"/2)))`

Example

`"109900N*mm"=("5100N"*("155mm"+("43mm"/2)+("40mm"/2)))-("21500N"*(("43mm"/2)+("40mm"/2)))`

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

STEP 0: Pre-Calculation Summary

Formula Used

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)))
M_{b V} = (R_1v*(b₁+(l_c/2)+(t/2)))-(P_r*((l_c/2)+(t/2)))
This formula uses 6 Variables

Variables Used

Vertical Bending Moment at Crank web Joint - (Measured in Newton Meter) - 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.
Vertical Reaction at Bearing 1 due to Radial Force - (Measured in Newton) - 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.
Distance from Bearing 1 to Center of Crank Pin - (Measured in Meter) - 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.
Length of Crank Pin - (Measured in Meter) - Length of crank pin is the size of the crankpin from one end to the other and tells how long is the crankpin.
Thickness of Crank Web - (Measured in Meter) - 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.
Radial Force at Crank Pin - (Measured in Newton) - 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.

STEP 1: Convert Input(s) to Base Unit

Vertical Reaction at Bearing 1 due to Radial Force: 5100 Newton --> 5100 Newton No Conversion Required
Distance from Bearing 1 to Center of Crank Pin: 155 Millimeter --> 0.155 Meter (Check conversion here)
Length of Crank Pin: 43 Millimeter --> 0.043 Meter (Check conversion here)
Thickness of Crank Web: 40 Millimeter --> 0.04 Meter (Check conversion here)
Radial Force at Crank Pin: 21500 Newton --> 21500 Newton No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

M_{b V} = (R_1v*(b₁+(l_c/2)+(t/2)))-(P_r*((l_c/2)+(t/2))) --> (5100*(0.155+(0.043/2)+(0.04/2)))-(21500*((0.043/2)+(0.04/2)))

Evaluating ... ...

M_{b V} = 109.9

STEP 3: Convert Result to Output's Unit

109.9 Newton Meter -->109900 Newton Millimeter (Check conversion here)

FINAL ANSWER

109900 Newton Millimeter <-- Vertical Bending Moment at Crank web Joint

(Calculation completed in 00.004 seconds)

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Home » Physics » IC Engine » Design of IC Engine Components » Crankshaft » Design of Centre Crankshaft » Design of Shaft at Juncture of Crank Web at Angle of Maximum Torque » Bending moment in vertical plane of centre crankshaft at juncture of right crankweb for max torque

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< 7 Design of Shaft at Juncture of Crank Web at Angle of Maximum Torque Calculators

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

Go Horizontal Bending Moment at Right Crank web Joint = Horizontal Force at Bearing 1 by Tangential Force*(Distance from Bearing 1 to Center of Crank Pin+(Length of Crank Pin/2)+(Thickness of Crank Web/2))-Tangential Force on Crank Pin*((Length of Crank Pin/2)+(Thickness of Crank Web/2))

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

Go 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)))

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

Go Diameter of Crankshaft at Crankweb Joint = ((16/(pi*Shear Stress in Shaft at Crankweb Joint))*sqrt((Resultant Bending Moment at Crankweb Joint^2)+(Torsional Moment at Crankweb Joint^2)))^(1/3)

Shear stress in centre crankshaft at juncture of right crankweb for maximum torque

Go Shear Stress in Shaft at Crankweb Joint = (16/(pi*Diameter of Crankshaft at Crankweb Joint^3))*sqrt((Resultant Bending Moment at Crankweb Joint^2)+(Torsional Moment at Crankweb Joint^2))

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

Go Diameter of Crankshaft at Crankweb Joint = 2*((Distance Between Crank Pin and Crankshaft)-(Bending Moment in Crankweb due to Tangential Force/Tangential Force on Crank Pin))

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

Go Resultant Bending Moment at Crankweb Joint = sqrt((Vertical Bending Moment at Crank web Joint^2)+(Horizontal Bending Moment at Right Crank web Joint^2))

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

Go Torsional Moment at Crankweb Joint = Tangential Force on Crank Pin*Distance Between Crank Pin and Crankshaft

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

Bending Moment vs Torsional Moment

In simple words, bending moment causes bending of the section, and Torsional moment (Torque) causes twisting of the section. If we talk about stresses induced, Due to torque-predominantly shear stress is induced in section and Due to bending - predominantly we have normal stresses.

Given a section and a moment is applied, then how do we decide that this moment is torque or bending moment?

It depends on the axis about which moment is applied. If the moment is applied about the longitudinal axis-it causes twisting of the section-then we call it torque and If we apply moment along the transverse axis-it causes bending of the section, then we can call it bending moment.

How to Calculate 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 calculator 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 calculate 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_{b V} symbol.

How to calculate Bending moment in vertical plane of centre crankshaft at juncture of right crankweb for max torque using this online calculator? To use this online calculator 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_1v), 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. Here is how the Bending moment in vertical plane of centre crankshaft at juncture of right crankweb for max torque calculation can be explained with given input values -> 1.1E+8 = (5100*(0.155+(0.043/2)+(0.04/2)))-(21500*((0.043/2)+(0.04/2))).

FAQ

What is 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 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 and is represented as M_{b V} = (R_1v*(b₁+(l_c/2)+(t/2)))-(P_r*((l_c/2)+(t/2))) or 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))). 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, 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, Length of crank pin is the size of the crankpin from one end to the other and tells how long is the crankpin, 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 & 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.

How to calculate 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 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 is calculated using 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 calculate Bending moment in vertical plane of centre crankshaft at juncture of right crankweb for max torque, you need Vertical Reaction at Bearing 1 due to Radial Force (R_1v), 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). With our tool, you need to enter the respective value for Vertical Reaction at Bearing 1 due to Radial Force, Distance from Bearing 1 to Center of Crank Pin, Length of Crank Pin, Thickness of Crank Web & Radial Force at Crank Pin and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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