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

✖Tangential Force at Crankpin is the component of thrust force on connecting rod acting at the crankpin in the direction tangential to the connecting rod.ⓘ Tangential Force at Crankpin [P_t]			+10% -10%
✖Length of crankpin refers to the axial distance along the crankshaft, between the two ends of the cylindrical crankpin. Theoretically it refers to the distance between two inner surfaces of crank web.ⓘ Length of Crankpin [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 Crank-web Joint is the net internal distribution of force induced at juncture of crank-web and crankshaft due to tangential and radial force on crankpin.ⓘ Resultant bending moment in side-crankshaft at juncture of crankweb for max torque [M_b]

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Formula

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

Formula

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

Example

`"318024.3N*mm"=sqrt(("80N"*(0.75*"430mm"+"50mm"))^2+("850N"*(0.75*"430mm"+"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 Crank-web Joint = sqrt((Tangential Force at Crankpin*(0.75*Length of Crankpin+Thickness of Crank Web))^2+(Radial Force at Crank Pin*(0.75*Length of Crankpin+Thickness of Crank Web))^2)
M_b = sqrt((P_t*(0.75*l_c+t))^2+(P_r*(0.75*l_c+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 Crank-web Joint - (Measured in Newton Meter) - Resultant Bending Moment at Crank-web Joint is the net internal distribution of force induced at juncture of crank-web and crankshaft due to tangential and radial force on crankpin.
Tangential Force at Crankpin - (Measured in Newton) - Tangential Force at Crankpin is the component of thrust force on connecting rod acting at the crankpin in the direction tangential to the connecting rod.
Length of Crankpin - (Measured in Meter) - Length of crankpin refers to the axial distance along the crankshaft, between the two ends of the cylindrical crankpin. Theoretically it refers to the distance between two inner surfaces of crank web.
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 Crankpin: 80 Newton --> 80 Newton No Conversion Required
Length of Crankpin: 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*(0.75*l_c+t))^2+(P_r*(0.75*l_c+t))^2) --> sqrt((80*(0.75*0.43+0.05))^2+(850*(0.75*0.43+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 Crank-web Joint

(Calculation completed in 00.020 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 Crank-web Joint = (16/(pi*Shear Stress in Shaft at Crank-web Joint)*sqrt(Horizontal Bending Moment at Crank-web Joint^2+Vertical Bending Moment at Crank-web Joint^2+(Tangential Force at Crankpin*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 Crank-web Joint = 16/(pi*Diameter of Crankshaft at Crank-web Joint^3)*sqrt((Horizontal Bending Moment at Crank-web Joint^2+Vertical Bending Moment at Crank-web Joint^2)+(Tangential Force at Crankpin*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 Crank-web Joint = sqrt((Tangential Force at Crankpin*(0.75*Length of Crankpin+Thickness of Crank Web))^2+(Radial Force at Crank Pin*(0.75*Length of Crankpin+Thickness of Crank Web))^2)

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

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

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

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

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

Go Resultant Bending Moment at Crank-web 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 Crankpin*(0.75*Length of Crankpin+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*(0.75*Length of Crankpin+Thickness of Crank Web)

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

Go Torsional Moment at Crank-web Joint = Tangential Force at Crankpin*Distance Between Crank Pin and Crankshaft

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

Engine forces that acts on the crank pin.

There are two primary engine forces that act on the crankpin:

1.Tangential Force: This is the main force responsible for generating torque in the crankshaft. It acts along the radius of the crankpin, in a direction tangent to the circle traced by the crankpin center. This force originates from the combustion pressure pushing down on the piston in the engine cylinder. The connecting rod transmits this force to the crankpin at an angle, but the component of the force acting along the crankpin radius is the tangential force.

2.Radial Force: This force acts perpendicular to the crankpin radius, pushing the crankpin outwards. It arises due to the angle between the connecting rod and the crankpin at different points in the engine cycle. While not directly contributing to torque, the radial force plays a role in creating bending moments in the crankshaft and crankweb.

These forces are typically influenced by engine pressure, engine speed, connecting rod angle etc.

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 Crank-web Joint = sqrt((Tangential Force at Crankpin*(0.75*Length of Crankpin+Thickness of Crank Web))^2+(Radial Force at Crank Pin*(0.75*Length of Crankpin+Thickness of Crank Web))^2) to calculate the Resultant Bending Moment at Crank-web Joint, Resultant bending moment in side-crankshaft at juncture of crankweb for max torque is the net internal distribution of force induced at juncture of crank-web and crankshaft due to tangential and radial forces on crankpin. While designing the crankshaft we consider the maximum torque applied on the shaft to avoid failure. Resultant Bending Moment at Crank-web 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 Crankpin (P_t), Length of Crankpin (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*(0.75*0.43+0.05))^2+(850*(0.75*0.43+0.05))^2).

FAQ

What is 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 is the net internal distribution of force induced at juncture of crank-web and crankshaft due to tangential and radial forces on crankpin. While designing the crankshaft we consider the maximum torque applied on the shaft to avoid failure and is represented as M_b = sqrt((P_t*(0.75*l_c+t))^2+(P_r*(0.75*l_c+t))^2) or Resultant Bending Moment at Crank-web Joint = sqrt((Tangential Force at Crankpin*(0.75*Length of Crankpin+Thickness of Crank Web))^2+(Radial Force at Crank Pin*(0.75*Length of Crankpin+Thickness of Crank Web))^2). Tangential Force at Crankpin is the component of thrust force on connecting rod acting at the crankpin in the direction tangential to the connecting rod, Length of crankpin refers to the axial distance along the crankshaft, between the two ends of the cylindrical crankpin. Theoretically it refers to the distance between two inner surfaces of crank web, 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?

Resultant bending moment in side-crankshaft at juncture of crankweb for max torque is the net internal distribution of force induced at juncture of crank-web and crankshaft due to tangential and radial forces on crankpin. While designing the crankshaft we consider the maximum torque applied on the shaft to avoid failure is calculated using Resultant Bending Moment at Crank-web Joint = sqrt((Tangential Force at Crankpin*(0.75*Length of Crankpin+Thickness of Crank Web))^2+(Radial Force at Crank Pin*(0.75*Length of Crankpin+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 Crankpin (P_t), Length of Crankpin (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 Crankpin, Length of Crankpin, 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 Crank-web Joint?

In this formula, Resultant Bending Moment at Crank-web Joint uses Tangential Force at Crankpin, Length of Crankpin, 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 Crank-web Joint = sqrt(Horizontal Bending Moment at Crank-web Joint^2+Vertical Bending Moment at Crank-web Joint^2)

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