Diameter of centre crankshaft under flywheel at max torque given bending and torsional moment 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%
✖Bending Moment at Crankshaft Under Flywheel is the bending moment at the central plane of the crankshaft when an external force or moment is applied to the crankshaft causing it to bend.ⓘ Bending Moment at Crankshaft Under Flywheel [M_b]			+10% -10%
✖Torsional Moment at Crankshaft Under Flywheel is the torsional moment induced at central plane of crankshaft below flywheel when an external twisting force is applied to crankshaft.ⓘ Torsional Moment at Crankshaft Under Flywheel [M_t]			+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 given bending and torsional moment [d_s]

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

STEP 0: Pre-Calculation Summary

Formula Used

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)
d_s = ((16/(pi*τ))*sqrt((M_b)^2+(M_t)^2))^(1/3)
This formula uses 1 Constants, 1 Functions, 4 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.
Bending Moment at Crankshaft Under Flywheel - (Measured in Newton Meter) - Bending Moment at Crankshaft Under Flywheel is the bending moment at the central plane of the crankshaft when an external force or moment is applied to the crankshaft causing it to bend.
Torsional Moment at Crankshaft Under Flywheel - (Measured in Newton Meter) - Torsional Moment at Crankshaft Under Flywheel is the torsional moment induced at central plane of crankshaft below flywheel when an external twisting force is applied to 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)
Bending Moment at Crankshaft Under Flywheel: 240000 Newton Millimeter --> 240 Newton Meter (Check conversion here)
Torsional Moment at Crankshaft Under Flywheel: 640000 Newton Millimeter --> 640 Newton Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_s = ((16/(pi*τ))*sqrt((M_b)^2+(M_t)^2))^(1/3) --> ((16/(pi*15000000))*sqrt((240)^2+(640)^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 00.020 seconds)

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Home » Physics » IC Engine » Design of IC Engine Components » Crankshaft » Design of Centre Crankshaft » Mechanical » Design of Shaft Under Flywheel at Angle of Maximum Torque » Diameter of centre crankshaft under flywheel at max torque given bending and torsional moment

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

Diameter of centre crankshaft under flywheel at max torque

LaTeX 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)

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

LaTeX 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)

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

LaTeX 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

LaTeX 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 given bending and torsional moment Formula

LaTeX Go

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 given bending and torsional moment?

Diameter of centre crankshaft under flywheel at max torque given bending and torsional moment calculator uses 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) to calculate the Diameter of Shaft Under Flywheel, Diameter of centre crankshaft under flywheel at max torque given bending and torsional moment 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 given bending and torsional moment using this online calculator? To use this online calculator for Diameter of centre crankshaft under flywheel at max torque given bending and torsional moment, enter Shear Stress in Crankshaft Under Flywheel (τ), Bending Moment at Crankshaft Under Flywheel (M_b) & Torsional Moment at Crankshaft Under Flywheel (M_t) and hit the calculate button. Here is how the Diameter of centre crankshaft under flywheel at max torque given bending and torsional moment calculation can be explained with given input values -> 44197.17 = ((16/(pi*15000000))*sqrt((240)^2+(640)^2))^(1/3).

FAQ

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

Diameter of centre crankshaft under flywheel at max torque given bending and torsional moment 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((M_b)^2+(M_t)^2))^(1/3) or 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 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, Bending Moment at Crankshaft Under Flywheel is the bending moment at the central plane of the crankshaft when an external force or moment is applied to the crankshaft causing it to bend & Torsional Moment at Crankshaft Under Flywheel is the torsional moment induced at central plane of crankshaft below flywheel when an external twisting force is applied to crankshaft.

How to calculate Diameter of centre crankshaft under flywheel at max torque given bending and torsional moment?

Diameter of centre crankshaft under flywheel at max torque given bending and torsional moment 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((Bending Moment at Crankshaft Under Flywheel)^2+(Torsional Moment at Crankshaft Under Flywheel)^2))^(1/3). To calculate Diameter of centre crankshaft under flywheel at max torque given bending and torsional moment, you need Shear Stress in Crankshaft Under Flywheel (τ), Bending Moment at Crankshaft Under Flywheel (M_b) & Torsional Moment at Crankshaft Under Flywheel (M_t). With our tool, you need to enter the respective value for Shear Stress in Crankshaft Under Flywheel, Bending Moment at Crankshaft Under Flywheel & Torsional Moment at Crankshaft Under Flywheel 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, Bending Moment at Crankshaft Under Flywheel & Torsional Moment at Crankshaft Under Flywheel. 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((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)

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