Bending moment in crankweb of centre crankshaft due to radial thrust for maximum torque Calculator

✖Vertical Reaction at Bearing 2 due to Radial Force is the vertical reaction force on the 2nd bearing of the crankshaft because of the radial component of thrust force acting on connecting rod.ⓘ Vertical Reaction at Bearing 2 due to Radial Force [R2_v]			+10% -10%
✖Centre Crankshaft Bearing2 Gap from CrankPinCentre is the distance between the 2nd bearing of a centre crankshaft and the line of action of force on the crank pin.ⓘ Centre Crankshaft Bearing2 Gap from CrankPinCentre [b₂]			+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%

✖Bending Moment in Crankweb due to radial force is the bending moment in the crankweb due to the radial component of force on connecting rod at crank pin.ⓘ Bending moment in crankweb of centre crankshaft due to radial thrust for maximum torque [M_br]

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Formula

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Bending moment in crankweb of centre crankshaft due to radial thrust for maximum torque

Formula

`("M"_{"b"}"r") = "R2"_{"v"}*("b"_{"2"}-("l"_{"c"}/2)-("t"/2))`

Example

`"260000N*mm"="566.4488017N"*("500mm"-("42mm"/2)-("40mm"/2))`

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Bending moment in crankweb of centre crankshaft due to radial thrust for maximum torque Solution

STEP 0: Pre-Calculation Summary

Formula Used

Bending Moment in Crankweb due to Radial Force = Vertical Reaction at Bearing 2 due to Radial Force*(Centre Crankshaft Bearing2 Gap from CrankPinCentre-(Length of Crank Pin/2)-(Thickness of Crank Web/2))
M_br = R2_v*(b₂-(l_c/2)-(t/2))
This formula uses 5 Variables

Variables Used

Bending Moment in Crankweb due to Radial Force - (Measured in Newton Meter) - Bending Moment in Crankweb due to radial force is the bending moment in the crankweb due to the radial component of force on connecting rod at crank pin.
Vertical Reaction at Bearing 2 due to Radial Force - (Measured in Newton) - Vertical Reaction at Bearing 2 due to Radial Force is the vertical reaction force on the 2nd bearing of the crankshaft because of the radial component of thrust force acting on connecting rod.
Centre Crankshaft Bearing2 Gap from CrankPinCentre - (Measured in Meter) - Centre Crankshaft Bearing2 Gap from CrankPinCentre is the distance between the 2nd bearing of a centre 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.

STEP 1: Convert Input(s) to Base Unit

Vertical Reaction at Bearing 2 due to Radial Force: 566.4488017 Newton --> 566.4488017 Newton No Conversion Required
Centre Crankshaft Bearing2 Gap from CrankPinCentre: 500 Millimeter --> 0.5 Meter (Check conversion here)
Length of Crank Pin: 42 Millimeter --> 0.042 Meter (Check conversion here)
Thickness of Crank Web: 40 Millimeter --> 0.04 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

M_br = R2_v*(b₂-(l_c/2)-(t/2)) --> 566.4488017*(0.5-(0.042/2)-(0.04/2))

Evaluating ... ...

M_br = 259.9999999803

STEP 3: Convert Result to Output's Unit

259.9999999803 Newton Meter -->259999.9999803 Newton Millimeter (Check conversion here)

FINAL ANSWER

259999.9999803 ≈ 260000 Newton Millimeter <-- Bending Moment in Crankweb due to Radial Force

(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 Crank Web at Angle of Maximum Torque » Bending moment in crankweb of centre crankshaft due to radial thrust for maximum torque

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< 20 Design of Crank Web at Angle of Maximum Torque Calculators

Maximum compressive stress in crankweb of centre crankshaft for max torque given crankweb dimensions

Go Maximum Compressive Stress in Crank Web = (6*Bending Moment in Crankweb due to Radial Force)/(Thickness of Crank Web^2*Width of Crank Web)+(6*Bending Moment in Crankweb due to Tangential Force)/(Thickness of Crank Web*Width of Crank Web^2)+(Radial Force at Crank Pin/(2*Width of Crank Web*Thickness of Crank Web))

Shear stress in crankweb of centre crankshaft for max torque given reaction on bearing1

Go Shear Stress in Crankweb = (4.5/(Width of Crank Web*Thickness of Crank Web^2))*((Horizontal Force at Bearing1 by Tangential Force*(Centre Crankshaft Bearing1 Gap from CrankPinCentre+(Length of Crank Pin/2)))-(Tangential Force at Crank Pin*(Length of Crank Pin/2)))

Torsional moment in crankweb of centre crankshaft for max torque given reaction on bearing1

Go Torsional Moment in Crankweb = (Horizontal Force at Bearing1 by Tangential Force*(Centre Crankshaft Bearing1 Gap from CrankPinCentre+(Length of Crank Pin/2)))-(Tangential Force at Crank Pin*(Length of Crank Pin/2))

Shear stress in crankweb of centre crankshaft for max torque given reaction on bearing2

Go Shear Stress in Crankweb = (4.5/(Width of Crank Web*Thickness of Crank Web^2))*(Horizontal Force at Bearing2 by Tangential Force*(Centre Crankshaft Bearing2 Gap from CrankPinCentre-(Length of Crank Pin/2)))

Bending moment in crankweb of centre crankshaft due to radial thrust for maximum torque

Go Bending Moment in Crankweb due to Radial Force = Vertical Reaction at Bearing 2 due to Radial Force*(Centre Crankshaft Bearing2 Gap from CrankPinCentre-(Length of Crank Pin/2)-(Thickness of Crank Web/2))

Maximum compressive stress in crankweb of centre crankshaft for max torque given direct stress

Go Maximum Compressive Stress in Crank Web = (Direct Compressive Stress in Crankweb/2)+((sqrt((Direct Compressive Stress in Crankweb^2)+(4*Shear Stress in Crankweb^2)))/2)

Maximum compressive stress in crankweb of centre crankshaft for max torque

Go Maximum Compressive Stress in Crank Web = Direct Compressive Stress in Crankweb+Bending Stress in Crankweb due to Radial Force+Bending Stress in Crankweb due to Tangential Force

Bending moment in crankweb of centre crankshaft due to tangential thrust for maximum torque

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

Torsional moment in crankweb of centre crankshaft for max torque given reaction on bearing2

Go Torsional Moment in Crankweb = (Horizontal Force at Bearing2 by Tangential Force*(Centre Crankshaft Bearing2 Gap from CrankPinCentre-(Length of Crank Pin/2)))

Bending stress in crankweb of centre crankshaft due to tangential thrust for max torque given moment

Go Bending Stress in Crankweb due to Tangential Force = (6*Bending Moment in Crankweb due to Tangential Force)/(Thickness of Crank Web*Width of Crank Web^2)

Bending moment in crankweb of centre crankshaft due to tangential thrust for max torque given stress

Go Bending Moment in Crankweb due to Tangential Force = (Bending Stress in Crankweb due to Tangential Force*Thickness of Crank Web*Width of Crank Web^2)/6

Bending stress in crankweb of centre crankshaft due to radial thrust for max torque given moment

Go Bending Stress in Crankweb due to Radial Force = (6*Bending Moment in Crankweb due to Radial Force)/(Thickness of Crank Web^2*Width of Crank Web)

Bending moment in crankweb of centre crankshaft due to radial thrust for max torque given stress

Go Bending Moment in Crankweb due to Radial Force = (Bending Stress in Crankweb due to Radial Force*Width of Crank Web*Thickness of Crank Web^2)/6

Direct compressive stress in crankweb of centre crankshaft due to radial thrust for max torque

Go Direct Compressive Stress in Crankweb = Radial Force at Crank Pin/(2*Width of Crank Web*Thickness of Crank Web)

Shear stress in crankweb of centre crankshaft for max torque given torsional moment

Go Shear Stress in Crankweb = (4.5*Torsional Moment in Crankweb)/(Width of Crank Web*Thickness of Crank Web^2)

Torsional moment in crankweb of centre crankshaft for max torque given shear stress

Go Torsional Moment in Crankweb = (Shear Stress in Crankweb*Width of Crank Web*Thickness of Crank Web^2)/4.5

Torsional moment in crankweb of centre crankshaft for max torque given polar section modulus

Go Torsional Moment in Crankweb = Shear Stress in Crankweb*Polar Section Modulus of Crankweb

Shear stress in crankweb of centre crankshaft for max torque given polar section modulus

Go Shear Stress in Crankweb = Torsional Moment in Crankweb/Polar Section Modulus of Crankweb

Polar section modulus of crankweb of centre crankshaft for max torque

Go Polar Section Modulus of Crankweb = (Width of Crank Web*Thickness of Crank Web^2)/4.5

Section modulus of crankweb of centre crankshaft for max torque

Go Section Modulus of Crankweb = (Width of Crank Web*Thickness of Crank Web^2)/6

Bending moment in crankweb of centre crankshaft due to radial thrust for maximum torque Formula

Stresses in Right hand Crankweb

The right-hand crank web is subjected to the following stresses:
(i) Bending stresses in the vertical and horizontal planes due to radial component and tangential component respectively.
(ii) Direct compressive stress due to radial component.
(iii) Torsional shear stresses.

Design of Left hand Crankweb

The left-hand crank web is not severely stressed to the extent of the right-hand crank web. Therefore, it is not necessary to check the stresses in the left-hand crank web. The thickness and width of the left-hand crank web are made equal to that of the right-hand crank web from balancing consideration.

How to Calculate Bending moment in crankweb of centre crankshaft due to radial thrust for maximum torque?

Bending moment in crankweb of centre crankshaft due to radial thrust for maximum torque calculator uses Bending Moment in Crankweb due to Radial Force = Vertical Reaction at Bearing 2 due to Radial Force*(Centre Crankshaft Bearing2 Gap from CrankPinCentre-(Length of Crank Pin/2)-(Thickness of Crank Web/2)) to calculate the Bending Moment in Crankweb due to Radial Force, Bending moment in crankweb of centre crankshaft due to radial thrust for maximum torque is the amount of bending moment in the right-hand crankweb of a centre crankshaft when it is designed for the maximum torsional moment. Bending Moment in Crankweb due to Radial Force is denoted by M_br symbol.

How to calculate Bending moment in crankweb of centre crankshaft due to radial thrust for maximum torque using this online calculator? To use this online calculator for Bending moment in crankweb of centre crankshaft due to radial thrust for maximum torque, enter Vertical Reaction at Bearing 2 due to Radial Force (R2_v), Centre Crankshaft Bearing2 Gap from CrankPinCentre (b₂), Length of Crank Pin (l_c) & Thickness of Crank Web (t) and hit the calculate button. Here is how the Bending moment in crankweb of centre crankshaft due to radial thrust for maximum torque calculation can be explained with given input values -> 2.6E+8 = 566.4488017*(0.5-(0.042/2)-(0.04/2)).

FAQ

What is Bending moment in crankweb of centre crankshaft due to radial thrust for maximum torque?

Bending moment in crankweb of centre crankshaft due to radial thrust for maximum torque is the amount of bending moment in the right-hand crankweb of a centre crankshaft when it is designed for the maximum torsional moment and is represented as M_br = R2_v*(b₂-(l_c/2)-(t/2)) or Bending Moment in Crankweb due to Radial Force = Vertical Reaction at Bearing 2 due to Radial Force*(Centre Crankshaft Bearing2 Gap from CrankPinCentre-(Length of Crank Pin/2)-(Thickness of Crank Web/2)). Vertical Reaction at Bearing 2 due to Radial Force is the vertical reaction force on the 2nd bearing of the crankshaft because of the radial component of thrust force acting on connecting rod, Centre Crankshaft Bearing2 Gap from CrankPinCentre is the distance between the 2nd bearing of a centre 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.

How to calculate Bending moment in crankweb of centre crankshaft due to radial thrust for maximum torque?

Bending moment in crankweb of centre crankshaft due to radial thrust for maximum torque is the amount of bending moment in the right-hand crankweb of a centre crankshaft when it is designed for the maximum torsional moment is calculated using Bending Moment in Crankweb due to Radial Force = Vertical Reaction at Bearing 2 due to Radial Force*(Centre Crankshaft Bearing2 Gap from CrankPinCentre-(Length of Crank Pin/2)-(Thickness of Crank Web/2)). To calculate Bending moment in crankweb of centre crankshaft due to radial thrust for maximum torque, you need Vertical Reaction at Bearing 2 due to Radial Force (R2_v), Centre Crankshaft Bearing2 Gap from CrankPinCentre (b₂), Length of Crank Pin (l_c) & Thickness of Crank Web (t). With our tool, you need to enter the respective value for Vertical Reaction at Bearing 2 due to Radial Force, Centre Crankshaft Bearing2 Gap from CrankPinCentre, Length of Crank Pin & Thickness of Crank Web and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Bending Moment in Crankweb due to Radial Force?

In this formula, Bending Moment in Crankweb due to Radial Force uses Vertical Reaction at Bearing 2 due to Radial Force, Centre Crankshaft Bearing2 Gap from CrankPinCentre, Length of Crank Pin & Thickness of Crank Web. We can use 1 other way(s) to calculate the same, which is/are as follows -

Bending Moment in Crankweb due to Radial Force = (Bending Stress in Crankweb due to Radial Force*Width of Crank Web*Thickness of Crank Web^2)/6

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