Diameter of centre crankshaft under flywheel at max torque Calculator

✖Shear Stress in Crankshaft Under Flywheel is the amount of shear stress (causes deformation by slippage along plane parallel to the imposed stress) at the crankshaft part under flywheel.ⓘ Shear Stress in Crankshaft Under Flywheel [τ]			+10% -10%
✖Resultant Reaction on CrankShaft Bearing is the total reaction force on the 3rd bearing of the crankshaft.ⓘ Resultant Reaction on CrankShaft Bearing [R₃]			+10% -10%
✖Centre Crankshaft Bearing Gap From Flywheel is the distance between the 3rd bearing of a center crankshaft and the line of action of flywheel weight.ⓘ Centre Crankshaft Bearing Gap From Flywheel [c₂]			+10% -10%
✖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%
✖Distance between crank pin and crankshaft is the perpendicular distance between the crank pin and the crankshaft.ⓘ Distance Between Crank Pin and Crankshaft [r]			+10% -10%

✖Diameter of Shaft under Flywheel is the diameter, of the part of the crankshaft under the flywheel, the distance across the shaft that passes through the center of the shaft is 2R (twice the radius).ⓘ Diameter of centre crankshaft under flywheel at max torque [d_s]

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Diameter of centre crankshaft under flywheel at max torque

Formula

`"d"_{"s"} = ((16/(pi*"τ"))*sqrt(("R"_{"3"}*"c"_{"2"})^2+("P"_{"t"}*"r")^2))^(1/3)`

Example

`"61.45305mm"=((16/(pi*"15N/mm²"))*sqrt(("1200N"*"200mm")^2+("8000N"*"80mm")^2))^(1/3)`

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Diameter of centre crankshaft under flywheel at max torque Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diameter of Shaft Under Flywheel = ((16/(pi*Shear Stress in Crankshaft Under Flywheel))*sqrt((Resultant Reaction on CrankShaft Bearing*Centre Crankshaft Bearing Gap From Flywheel)^2+(Tangential Force at Crank Pin*Distance Between Crank Pin and Crankshaft)^2))^(1/3)
d_s = ((16/(pi*τ))*sqrt((R₃*c₂)^2+(P_t*r)^2))^(1/3)
This formula uses 1 Constants, 1 Functions, 6 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

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

Diameter of Shaft Under Flywheel - (Measured in Meter) - Diameter of Shaft under Flywheel is the diameter, of the part of the crankshaft under the flywheel, the distance across the shaft that passes through the center of the shaft is 2R (twice the radius).
Shear Stress in Crankshaft Under Flywheel - (Measured in Pascal) - Shear Stress in Crankshaft Under Flywheel is the amount of shear stress (causes deformation by slippage along plane parallel to the imposed stress) at the crankshaft part under flywheel.
Resultant Reaction on CrankShaft Bearing - (Measured in Newton) - Resultant Reaction on CrankShaft Bearing is the total reaction force on the 3rd bearing of the crankshaft.
Centre Crankshaft Bearing Gap From Flywheel - (Measured in Meter) - Centre Crankshaft Bearing Gap From Flywheel is the distance between the 3rd bearing of a center crankshaft and the line of action of flywheel weight.
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.
Distance Between Crank Pin and Crankshaft - (Measured in Meter) - Distance between crank pin and crankshaft is the perpendicular distance between the crank pin and the crankshaft.

STEP 1: Convert Input(s) to Base Unit

Shear Stress in Crankshaft Under Flywheel: 15 Newton per Square Millimeter --> 15000000 Pascal (Check conversion here)
Resultant Reaction on CrankShaft Bearing: 1200 Newton --> 1200 Newton No Conversion Required
Centre Crankshaft Bearing Gap From Flywheel: 200 Millimeter --> 0.2 Meter (Check conversion here)
Tangential Force at Crank Pin: 8000 Newton --> 8000 Newton No Conversion Required
Distance Between Crank Pin and Crankshaft: 80 Millimeter --> 0.08 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_s = ((16/(pi*τ))*sqrt((R₃*c₂)^2+(P_t*r)^2))^(1/3) --> ((16/(pi*15000000))*sqrt((1200*0.2)^2+(8000*0.08)^2))^(1/3)

Evaluating ... ...

d_s = 0.0614530472065787

STEP 3: Convert Result to Output's Unit

0.0614530472065787 Meter -->61.4530472065787 Millimeter (Check conversion here)

FINAL ANSWER

61.4530472065787 ≈ 61.45305 Millimeter <-- Diameter of Shaft Under Flywheel

(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 Under Flywheel at Angle of Maximum Torque » Diameter of centre crankshaft under flywheel at max torque

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< 6 Design of Shaft Under Flywheel at Angle of Maximum Torque Calculators

Diameter of centre crankshaft under flywheel at max torque

Go Diameter of Shaft Under Flywheel = ((16/(pi*Shear Stress in Crankshaft Under Flywheel))*sqrt((Resultant Reaction on CrankShaft Bearing*Centre Crankshaft Bearing Gap From Flywheel)^2+(Tangential Force at Crank Pin*Distance Between Crank Pin and Crankshaft)^2))^(1/3)

Shear stress in centre crankshaft below flywheel for max torque

Go Shear Stress in Crankshaft Under Flywheel = ((16/(pi*Diameter of Shaft Under Flywheel^3))*sqrt((Resultant Reaction on CrankShaft Bearing*Centre Crankshaft Bearing Gap From Flywheel)^2+(Tangential Force at Crank Pin*Distance Between Crank Pin and Crankshaft)^2))

Diameter of centre crankshaft under flywheel at max torque given bending and torsional moment

Go Diameter of Shaft Under Flywheel = ((16/(pi*Shear Stress in Crankshaft Under Flywheel))*sqrt((Bending Moment at Crankshaft Under Flywheel)^2+(Torsional Moment at Crankshaft Under Flywheel)^2))^(1/3)

Shear stress in centre crankshaft below flywheel for max torque given bending and torsional moment

Go Shear Stress in Crankshaft Under Flywheel = ((16/(pi*Diameter of Shaft Under Flywheel^3))*sqrt((Bending Moment at Crankshaft Under Flywheel)^2+(Torsional Moment at Crankshaft Under Flywheel)^2))

Bending moment at central plane of centre crankshaft below flywheel at max torque

Go Bending Moment at Crankshaft Under Flywheel = Resultant Reaction on CrankShaft Bearing*Centre Crankshaft Bearing Gap From Flywheel

Torsional moment at central plane of centre crankshaft below flywheel at max torque

Go Torsional Moment at Crankshaft Under Flywheel = Tangential Force at Crank Pin*Distance Between Crank Pin and Crankshaft

Diameter of centre crankshaft under flywheel at max torque Formula

Design of Centre Crankshaft

A crankshaft is subjected to bending and torsional moments due to the following three forces:
(i) Force exerted by the connecting rod on the crank pin.
(ii) Weight of flywheel acting downward in the vertical direction.
(iii) Resultant belt tensions acting in the horizontal direction.
In the design of the center crankshaft, two cases of the crank, positions are considered. They are as follows:
Case I: The crank is at the top dead center position and subjected to maximum bending moment and no torsional moment.
Case II: The crank is at an angle with the line of dead center positions and subjected to maximum torsional moment.

How to Calculate Diameter of centre crankshaft under flywheel at max torque?

Diameter of centre crankshaft under flywheel at max torque calculator uses Diameter of Shaft Under Flywheel = ((16/(pi*Shear Stress in Crankshaft Under Flywheel))*sqrt((Resultant Reaction on CrankShaft Bearing*Centre Crankshaft Bearing Gap From Flywheel)^2+(Tangential Force at Crank Pin*Distance Between Crank Pin and Crankshaft)^2))^(1/3) to calculate the Diameter of Shaft Under Flywheel, The diameter of centre crankshaft under flywheel at max torque is the diameter of the crankshaft portion under the flywheel when the center crankshaft is designed for the maximum torsional moment. Diameter of Shaft Under Flywheel is denoted by d_s symbol.

How to calculate Diameter of centre crankshaft under flywheel at max torque using this online calculator? To use this online calculator for Diameter of centre crankshaft under flywheel at max torque, enter Shear Stress in Crankshaft Under Flywheel (τ), Resultant Reaction on CrankShaft Bearing (R₃), Centre Crankshaft Bearing Gap From Flywheel (c₂), Tangential Force at Crank Pin (P_t) & Distance Between Crank Pin and Crankshaft (r) and hit the calculate button. Here is how the Diameter of centre crankshaft under flywheel at max torque calculation can be explained with given input values -> 61453.05 = ((16/(pi*15000000))*sqrt((1200*0.2)^2+(8000*0.08)^2))^(1/3).

FAQ

What is Diameter of centre crankshaft under flywheel at max torque?

The diameter of centre crankshaft under flywheel at max torque is the diameter of the crankshaft portion under the flywheel when the center crankshaft is designed for the maximum torsional moment and is represented as d_s = ((16/(pi*τ))*sqrt((R₃*c₂)^2+(P_t*r)^2))^(1/3) or Diameter of Shaft Under Flywheel = ((16/(pi*Shear Stress in Crankshaft Under Flywheel))*sqrt((Resultant Reaction on CrankShaft Bearing*Centre Crankshaft Bearing Gap From Flywheel)^2+(Tangential Force at Crank Pin*Distance Between Crank Pin and Crankshaft)^2))^(1/3). Shear Stress in Crankshaft Under Flywheel is the amount of shear stress (causes deformation by slippage along plane parallel to the imposed stress) at the crankshaft part under flywheel, Resultant Reaction on CrankShaft Bearing is the total reaction force on the 3rd bearing of the crankshaft, Centre Crankshaft Bearing Gap From Flywheel is the distance between the 3rd bearing of a center crankshaft and the line of action of flywheel weight, 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 & Distance between crank pin and crankshaft is the perpendicular distance between the crank pin and the crankshaft.

How to calculate Diameter of centre crankshaft under flywheel at max torque?

The diameter of centre crankshaft under flywheel at max torque is the diameter of the crankshaft portion under the flywheel when the center crankshaft is designed for the maximum torsional moment is calculated using Diameter of Shaft Under Flywheel = ((16/(pi*Shear Stress in Crankshaft Under Flywheel))*sqrt((Resultant Reaction on CrankShaft Bearing*Centre Crankshaft Bearing Gap From Flywheel)^2+(Tangential Force at Crank Pin*Distance Between Crank Pin and Crankshaft)^2))^(1/3). To calculate Diameter of centre crankshaft under flywheel at max torque, you need Shear Stress in Crankshaft Under Flywheel (τ), Resultant Reaction on CrankShaft Bearing (R₃), Centre Crankshaft Bearing Gap From Flywheel (c₂), Tangential Force at Crank Pin (P_t) & Distance Between Crank Pin and Crankshaft (r). With our tool, you need to enter the respective value for Shear Stress in Crankshaft Under Flywheel, Resultant Reaction on CrankShaft Bearing, Centre Crankshaft Bearing Gap From Flywheel, Tangential Force at Crank Pin & Distance Between Crank Pin and Crankshaft 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 Diameter of Shaft Under Flywheel?

In this formula, Diameter of Shaft Under Flywheel uses Shear Stress in Crankshaft Under Flywheel, Resultant Reaction on CrankShaft Bearing, Centre Crankshaft Bearing Gap From Flywheel, Tangential Force at Crank Pin & Distance Between Crank Pin and Crankshaft. We can use 1 other way(s) to calculate the same, which is/are as follows -

Diameter of Shaft Under Flywheel = ((16/(pi*Shear Stress in Crankshaft Under Flywheel))*sqrt((Bending Moment at Crankshaft Under Flywheel)^2+(Torsional Moment at Crankshaft Under Flywheel)^2))^(1/3)

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