Bending moment at central plane of crank pin of centre crankshaft at 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 [R1_v]			+10% -10%
✖Centre Crankshaft Bearing1 Gap from CrankPinCentre is the distance between the 1st bearing of a centre crankshaft and the line of action of force on the crank pin.ⓘ Centre Crankshaft Bearing1 Gap from CrankPinCentre [b₁]			+10% -10%

✖Bending Moment at central plane of crankpin is the reaction induced in the central plane of the crankpin when an external force or moment is applied to the crankpin causing it to bend.ⓘ Bending moment at central plane of crank pin of centre crankshaft at max torque [M_b]

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Formula

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Bending moment at central plane of crank pin of centre crankshaft at max torque

Formula

`"M"_{"b"} = "R1"_{"v"}*"b"_{"1"}`

Example

`"100000N*mm"="1000N"*"100mm"`

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Bending moment at central plane of crank pin of centre crankshaft at max torque Solution

STEP 0: Pre-Calculation Summary

Formula Used

Bending Moment at Central Plane of Crankpin = Vertical Reaction at Bearing 1 due to Radial Force*Centre Crankshaft Bearing1 Gap from CrankPinCentre
M_b = R1_v*b₁
This formula uses 3 Variables

Variables Used

Bending Moment at Central Plane of Crankpin - (Measured in Newton Meter) - Bending Moment at central plane of crankpin is the reaction induced in the central plane of the crankpin when an external force or moment is applied to the crankpin causing it to bend.
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.
Centre Crankshaft Bearing1 Gap from CrankPinCentre - (Measured in Meter) - Centre Crankshaft Bearing1 Gap from CrankPinCentre is the distance between the 1st bearing of a centre crankshaft and the line of action of force on the crank pin.

STEP 1: Convert Input(s) to Base Unit

Vertical Reaction at Bearing 1 due to Radial Force: 1000 Newton --> 1000 Newton No Conversion Required
Centre Crankshaft Bearing1 Gap from CrankPinCentre: 100 Millimeter --> 0.1 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

M_b = R1_v*b₁ --> 1000*0.1

Evaluating ... ...

M_b = 100

STEP 3: Convert Result to Output's Unit

100 Newton Meter -->100000 Newton Millimeter (Check conversion here)

FINAL ANSWER

100000 Newton Millimeter <-- Bending Moment at Central Plane of Crankpin

(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 Pin at Angle of Maximum Torque » Bending moment at central plane of crank pin of centre crankshaft at max torque

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Shri Govindram Seksaria Institute of Technology and Science (SGSITS ), Indore

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< 8 Design of Crank Pin at Angle of Maximum Torque Calculators

Diameter of crank pin of centre crankshaft for max torque

Go Diameter of Crank Pin = ((16/(pi*Shear Stress in Central Plane of Crank Pin))*sqrt((Vertical Reaction at Bearing 1 due to Radial Force*Centre Crankshaft Bearing1 Gap from CrankPinCentre)^2+(Horizontal Force at Bearing1 by Tangential Force*Distance Between Crankpin and Crankshaft)^2))^(1/3)

Shear stress in crankpin of centre crankshaft for max torque

Go Shear Stress in Central Plane of Crank Pin = (16/(pi*Diameter of Crank Pin^3))*sqrt((Vertical Reaction at Bearing 1 due to Radial Force*Centre Crankshaft Bearing1 Gap from CrankPinCentre)^2+(Horizontal Force at Bearing1 by Tangential Force*Distance Between Crankpin and Crankshaft)^2)

Diameter of crank pin of centre crankshaft for max torque given bending and torsional moment

Go Diameter of Crank Pin = ((16/(pi*Shear Stress in Central Plane of Crank Pin))*sqrt((Bending Moment at Central Plane of Crankpin^2)+(Torsional Moment at central plane of crankpin^2)))^(1/3)

Shear stress in crankpin of centre crankshaft for max torque given bending and torsional moment

Go Shear Stress in Central Plane of Crank Pin = (16/(pi*Diameter of Crank Pin^3))*sqrt((Bending Moment at Central Plane of Crankpin^2)+(Torsional Moment at central plane of crankpin^2))

Bending moment at central plane of crank pin of centre crankshaft at max torque

Go Bending Moment at Central Plane of Crankpin = Vertical Reaction at Bearing 1 due to Radial Force*Centre Crankshaft Bearing1 Gap from CrankPinCentre

Torsional moment at central plane of crank pin of centre crankshaft at max torque

Go Torsional Moment at central plane of crankpin = Horizontal Force at Bearing1 by Tangential Force*Distance Between Crankpin and Crankshaft

Length of crank pin of centre crankshaft for max torque given allowable bearing pressure

Go Length of Crank Pin = (Force on Connecting Rod)/(Diameter of Crank Pin*Bearing Pressure in Crank Pin)

Bearing pressure at crank pin bush of centre crankshaft for max torque

Go Bearing Pressure in Crank Pin = Force on Connecting Rod/(Diameter of Crank Pin*Length of Crank Pin)

Bending moment at central plane of crank pin of centre crankshaft at max torque Formula

Bending Moment at Central Plane of Crankpin = Vertical Reaction at Bearing 1 due to Radial Force*Centre Crankshaft Bearing1 Gap from CrankPinCentre
M_b = R1_v*b₁

What is a Crankpin and its uses?

A Crankpin is a mechanical device in an engine that connects the crankshaft to the connecting rod for each cylinder. It has a cylindrical surface, to allow the crankpin to rotate. The most common configuration is for a crankpin to serve one cylinder.

What is Crankshaft?

A Crankshaft is a shaft driven by a crank mechanism, consisting of a series of cranks and crankpins to which the connecting rods of an engine are attached. It is a mechanical part able to perform a conversion between reciprocating motion and rotational motion. In a reciprocating engine, it translates the reciprocating motion of the piston into rotational motion, whereas in a reciprocating compressor, it converts the rotational motion into reciprocating motion.

How to Calculate Bending moment at central plane of crank pin of centre crankshaft at max torque?

Bending moment at central plane of crank pin of centre crankshaft at max torque calculator uses Bending Moment at Central Plane of Crankpin = Vertical Reaction at Bearing 1 due to Radial Force*Centre Crankshaft Bearing1 Gap from CrankPinCentre to calculate the Bending Moment at Central Plane of Crankpin, The Bending moment at central plane of crank pin of centre crankshaft at max torque is the amount of bending moment at the central plane of the crank pin when the crankshaft is designed for the maximum torsional moment. Bending Moment at Central Plane of Crankpin is denoted by M_b symbol.

How to calculate Bending moment at central plane of crank pin of centre crankshaft at max torque using this online calculator? To use this online calculator for Bending moment at central plane of crank pin of centre crankshaft at max torque, enter Vertical Reaction at Bearing 1 due to Radial Force (R1_v) & Centre Crankshaft Bearing1 Gap from CrankPinCentre (b₁) and hit the calculate button. Here is how the Bending moment at central plane of crank pin of centre crankshaft at max torque calculation can be explained with given input values -> 1.6E+8 = 1000*0.1.

FAQ

What is Bending moment at central plane of crank pin of centre crankshaft at max torque?

The Bending moment at central plane of crank pin of centre crankshaft at max torque is the amount of bending moment at the central plane of the crank pin when the crankshaft is designed for the maximum torsional moment and is represented as M_b = R1_v*b₁ or Bending Moment at Central Plane of Crankpin = Vertical Reaction at Bearing 1 due to Radial Force*Centre Crankshaft Bearing1 Gap from CrankPinCentre. 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 & Centre Crankshaft Bearing1 Gap from CrankPinCentre is the distance between the 1st bearing of a centre crankshaft and the line of action of force on the crank pin.

How to calculate Bending moment at central plane of crank pin of centre crankshaft at max torque?

The Bending moment at central plane of crank pin of centre crankshaft at max torque is the amount of bending moment at the central plane of the crank pin when the crankshaft is designed for the maximum torsional moment is calculated using Bending Moment at Central Plane of Crankpin = Vertical Reaction at Bearing 1 due to Radial Force*Centre Crankshaft Bearing1 Gap from CrankPinCentre. To calculate Bending moment at central plane of crank pin of centre crankshaft at max torque, you need Vertical Reaction at Bearing 1 due to Radial Force (R1_v) & Centre Crankshaft Bearing1 Gap from CrankPinCentre (b₁). With our tool, you need to enter the respective value for Vertical Reaction at Bearing 1 due to Radial Force & Centre Crankshaft Bearing1 Gap from CrankPinCentre 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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