Resultant bending moment in side-crankshaft at juncture of crankweb for max torque Calculator

✖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.ⓘ Tangential Force at Crank Pin [P_t]			+10% -10%
✖Length of crank pin can be referred as the total length of the crank pin.ⓘ 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%

✖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 side-crankshaft at juncture of crankweb for max torque [M_b]

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Resultant bending moment in side-crankshaft at juncture of crankweb for max torque

Formula

`"M"_{"b"} = sqrt(("P"_{"t"}*(("l"_{"c"}*0.75)+"t"))^2+("P"_{"r"}*(("l"_{"c"}*0.75)+"t"))^2)`

Example

`"318024.3N*mm"=sqrt(("80N"*(("430mm"*0.75)+"50mm"))^2+("850N"*(("430mm"*0.75)+"50mm"))^2)`

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Resultant bending moment in side-crankshaft at juncture of crankweb for max torque Solution

STEP 0: Pre-Calculation Summary

Formula Used

Resultant Bending Moment at Crankweb Joint = sqrt((Tangential Force at Crank Pin*((Length of Crank Pin*0.75)+Thickness of Crank Web))^2+(Radial Force at Crank Pin*((Length of Crank Pin*0.75)+Thickness of Crank Web))^2)
M_b = sqrt((P_t*((l_c*0.75)+t))^2+(P_r*((l_c*0.75)+t))^2)
This formula uses 1 Functions, 5 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.
Tangential Force at Crank Pin - (Measured in Newton) - 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.
Length of Crank Pin - (Measured in Meter) - Length of crank pin can be referred as the total length of the crank pin.
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

Tangential Force at Crank Pin: 80 Newton --> 80 Newton No Conversion Required
Length of Crank Pin: 430 Millimeter --> 0.43 Meter (Check conversion here)
Thickness of Crank Web: 50 Millimeter --> 0.05 Meter (Check conversion here)
Radial Force at Crank Pin: 850 Newton --> 850 Newton No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

M_b = sqrt((P_t*((l_c*0.75)+t))^2+(P_r*((l_c*0.75)+t))^2) --> sqrt((80*((0.43*0.75)+0.05))^2+(850*((0.43*0.75)+0.05))^2)

Evaluating ... ...

M_b = 318.024261063523

STEP 3: Convert Result to Output's Unit

318.024261063523 Newton Meter -->318024.261063523 Newton Millimeter (Check conversion here)

FINAL ANSWER

318024.261063523 ≈ 318024.3 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 Side Crankshaft » Design of Shaft at Juncture of Crank Web at Angle of Maximum Torque » Resultant bending moment in side-crankshaft at juncture of crankweb for max torque

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< 9 Design of Shaft at Juncture of Crank Web at Angle of Maximum Torque Calculators

Diameter of side crankshaft at juncture of crankweb for max torque

Go Diameter of Crankshaft at Juncture = ((16/(pi*Shear Stress in Shaft at Crankweb Joint))*(sqrt(sqrt((Horizontal Bending Moment at Crank-web Joint^2)+(Vertical Bending Moment at Crank-web Joint^2)))^2)+(Tangential Force at Crank Pin*Distance Between Crank Pin and Crankshaft)^2)^(1/3)

Shear stress in side-crankshaft at juncture of crankweb for max torque

Go Shear Stress in Shaft at Crankweb Joint = (16/(pi*Diameter of Crankshaft at Crankweb Joint^3))*(sqrt((Horizontal Bending Moment at Crank-web Joint^2+Vertical Bending Moment at Crank-web Joint^2)+(Tangential Force at Crank Pin*Distance Between Crank Pin and Crankshaft)^2))

Resultant bending moment in side-crankshaft at juncture of crankweb for max torque

Go Resultant Bending Moment at Crankweb Joint = sqrt((Tangential Force at Crank Pin*((Length of Crank Pin*0.75)+Thickness of Crank Web))^2+(Radial Force at Crank Pin*((Length of Crank Pin*0.75)+Thickness of Crank Web))^2)

Diameter of side-crankshaft at juncture of 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 side-crankshaft at juncture of crankweb for max torque given moments

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))

Resultant bending moment in side crankshaft at juncture of crankweb for max torque given moments

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

Bending moment in horizontal plane of side-crankshaft at juncture of crankweb for max torque

Go Horizontal Bending Moment at Crank-web Joint = Tangential Force at Crank Pin*((Length of Crank Pin*0.75)+Thickness of Crank Web)

Bending moment in vertical plane of side-crankshaft at juncture of crankweb for max torque

Go Vertical Bending Moment at Crank-web Joint = Radial Force at Crank Pin*((Length of Crank Pin*0.75)+Thickness of Crank Web)

Torsional moment in side-crankshaft at juncture of crankweb for max torque

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

Resultant bending moment in side-crankshaft at juncture of crankweb for max torque Formula

What is a Crank?

A crank is an arm attached at a right angle to a rotating shaft by which circular motion is imparted to or received from the shaft. When combined with a connecting rod, it can be used to convert circular motion into reciprocating motion, or vice versa. The arm may be a bent portion of the shaft or a separate arm or disk attached to it. Attached to the end of the crank by a pivot is a rod, usually called a connecting rod. Almost all reciprocating engines use cranks (with connecting rods) to transform the back-and-forth motion of the pistons into rotary motion. The cranks are incorporated into a crankshaft.

How to Calculate Resultant bending moment in side-crankshaft at juncture of crankweb for max torque?

Resultant bending moment in side-crankshaft at juncture of crankweb for max torque calculator uses Resultant Bending Moment at Crankweb Joint = sqrt((Tangential Force at Crank Pin*((Length of Crank Pin*0.75)+Thickness of Crank Web))^2+(Radial Force at Crank Pin*((Length of Crank Pin*0.75)+Thickness of Crank Web))^2) to calculate the Resultant Bending Moment at Crankweb Joint, The resultant bending moment in side-crankshaft at juncture of crankweb for max torque is the resultant of the bending moment in vertical and horizontal planes in the side crankshaft at the juncture of the 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 side-crankshaft at juncture of crankweb for max torque using this online calculator? To use this online calculator for Resultant bending moment in side-crankshaft at juncture of crankweb for max torque, enter Tangential Force at Crank Pin (P_t), 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 Resultant bending moment in side-crankshaft at juncture of crankweb for max torque calculation can be explained with given input values -> 3.2E+8 = sqrt((80*((0.43*0.75)+0.05))^2+(850*((0.43*0.75)+0.05))^2).

FAQ

What is Resultant bending moment in side-crankshaft at juncture of crankweb for max torque?

The resultant bending moment in side-crankshaft at juncture of crankweb for max torque is the resultant of the bending moment in vertical and horizontal planes in the side crankshaft at the juncture of the crank web and the crankshaft when the crankshaft is designed for the maximum torsional moment and is represented as M_b = sqrt((P_t*((l_c*0.75)+t))^2+(P_r*((l_c*0.75)+t))^2) or Resultant Bending Moment at Crankweb Joint = sqrt((Tangential Force at Crank Pin*((Length of Crank Pin*0.75)+Thickness of Crank Web))^2+(Radial Force at Crank Pin*((Length of Crank Pin*0.75)+Thickness of Crank Web))^2). 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, Length of crank pin can be referred as the total length of the crank pin, 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 Resultant bending moment in side-crankshaft at juncture of crankweb for max torque?

The resultant bending moment in side-crankshaft at juncture of crankweb for max torque is the resultant of the bending moment in vertical and horizontal planes in the side crankshaft at the juncture of the 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((Tangential Force at Crank Pin*((Length of Crank Pin*0.75)+Thickness of Crank Web))^2+(Radial Force at Crank Pin*((Length of Crank Pin*0.75)+Thickness of Crank Web))^2). To calculate Resultant bending moment in side-crankshaft at juncture of crankweb for max torque, you need Tangential Force at Crank Pin (P_t), 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 Tangential Force at 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.

How many ways are there to calculate Resultant Bending Moment at Crankweb Joint?

In this formula, Resultant Bending Moment at Crankweb Joint uses Tangential Force at Crank Pin, Length of Crank Pin, Thickness of Crank Web & Radial Force at Crank Pin. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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