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

✖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 Bending Moment at Crank web Joint [M_{b V}]			+10% -10%
✖Horizontal Bending Moment at Right Crank web Joint is the bending moment in the horizontal plane of the crankshaft at the juncture of the right crank web.ⓘ Horizontal Bending Moment at Right Crank web Joint [M_{b H}]			+10% -10%

✖Resultant Bending Moment at Crankweb Joint is the resultant of bending moments in the horizontal & vertical plane of the crankshaft at the juncture of the crank web.ⓘ Resultant bending moment in centre crankshaft at juncture of right crankweb for maximum torque [M_b]

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

Formula

`"M"_{"b"} = sqrt(("M"_{"b V"}^2)+("M"_{"b H"}^2))`

Example

`"823097.2N*mm"=sqrt((("700000N*mm")^2)+(("433000N*mm")^2))`

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

STEP 0: Pre-Calculation Summary

Formula Used

Resultant Bending Moment at Crankweb Joint = sqrt((Vertical Bending Moment at Crank web Joint^2)+(Horizontal Bending Moment at Right Crank web Joint^2))
M_b = sqrt((M_{b V}^2)+(M_{b H}^2))
This formula uses 1 Functions, 3 Variables

Functions Used

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., sqrt(Number)

Variables Used

Resultant Bending Moment at Crankweb Joint - (Measured in Newton Meter) - Resultant Bending Moment at Crankweb Joint is the resultant of bending moments in the horizontal & vertical plane of the crankshaft at the juncture of the crank web.
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.
Horizontal Bending Moment at Right Crank web Joint - (Measured in Newton Meter) - Horizontal Bending Moment at Right Crank web Joint is the bending moment in the horizontal plane of the crankshaft at the juncture of the right crank web.

STEP 1: Convert Input(s) to Base Unit

Vertical Bending Moment at Crank web Joint: 700000 Newton Millimeter --> 700 Newton Meter (Check conversion here)
Horizontal Bending Moment at Right Crank web Joint: 433000 Newton Millimeter --> 433 Newton Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

M_b = sqrt((M_{b V}^2)+(M_{b H}^2)) --> sqrt((700^2)+(433^2))

Evaluating ... ...

M_b = 823.097199606462

STEP 3: Convert Result to Output's Unit

823.097199606462 Newton Meter -->823097.199606462 Newton Millimeter (Check conversion here)

FINAL ANSWER

823097.199606462 ≈ 823097.2 Newton Millimeter <-- Resultant Bending Moment at Crankweb 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 » Resultant bending moment in centre crankshaft at juncture of right crankweb for maximum 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

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

Resultant Bending Moment at Crankweb Joint = sqrt((Vertical Bending Moment at Crank web Joint^2)+(Horizontal Bending Moment at Right Crank web Joint^2))
M_b = sqrt((M_{b V}^2)+(M_{b H}^2))

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

Resultant bending moment in centre crankshaft at juncture of right crankweb for maximum torque calculator uses Resultant Bending Moment at Crankweb Joint = sqrt((Vertical Bending Moment at Crank web Joint^2)+(Horizontal Bending Moment at Right Crank web Joint^2)) to calculate the Resultant Bending Moment at Crankweb Joint, Resultant bending moment in centre crankshaft at juncture of right crankweb for maximum torque is the resultant of the bending moment in vertical and horizontal planes 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. Resultant Bending Moment at Crankweb Joint is denoted by M_b symbol.

How to calculate Resultant bending moment in centre crankshaft at juncture of right crankweb for maximum torque using this online calculator? To use this online calculator for Resultant bending moment in centre crankshaft at juncture of right crankweb for maximum torque, enter Vertical Bending Moment at Crank web Joint (M_{b V}) & Horizontal Bending Moment at Right Crank web Joint (M_{b H}) and hit the calculate button. Here is how the Resultant bending moment in centre crankshaft at juncture of right crankweb for maximum torque calculation can be explained with given input values -> 8.2E+8 = sqrt((700^2)+(433^2)).

FAQ

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

Resultant bending moment in centre crankshaft at juncture of right crankweb for maximum torque is the resultant of the bending moment in vertical and horizontal planes 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 = sqrt((M_{b V}^2)+(M_{b H}^2)) or Resultant Bending Moment at Crankweb Joint = sqrt((Vertical Bending Moment at Crank web Joint^2)+(Horizontal Bending Moment at Right Crank web Joint^2)). 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 & Horizontal Bending Moment at Right Crank web Joint is the bending moment in the horizontal plane of the crankshaft at the juncture of the right crank web.

How to calculate Resultant bending moment in centre crankshaft at juncture of right crankweb for maximum torque?

Resultant bending moment in centre crankshaft at juncture of right crankweb for maximum torque is the resultant of the bending moment in vertical and horizontal planes 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 Resultant Bending Moment at Crankweb Joint = sqrt((Vertical Bending Moment at Crank web Joint^2)+(Horizontal Bending Moment at Right Crank web Joint^2)). To calculate Resultant bending moment in centre crankshaft at juncture of right crankweb for maximum torque, you need Vertical Bending Moment at Crank web Joint (M_{b V}) & Horizontal Bending Moment at Right Crank web Joint (M_{b H}). With our tool, you need to enter the respective value for Vertical Bending Moment at Crank web Joint & Horizontal Bending Moment at Right Crank web Joint 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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