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

✖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 Shaft Under Flywheel [d_s]			+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%

✖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 centre crankshaft below flywheel for max torque given bending and torsional moment [τ]

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

Formula

`"τ" = ((16/(pi*"d"_{"s"}^3))*sqrt(("M"_{"b"})^2+("M"_{"t"})^2))`

Example

`"15N/mm²"=((16/(pi*("61.45305mm")^3))*sqrt(("240000N*mm")^2+("640000N*mm")^2))`

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

STEP 0: Pre-Calculation Summary

Formula Used

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))
τ = ((16/(pi*d_s^3))*sqrt((M_b)^2+(M_t)^2))
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

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.
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).
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

Diameter of Shaft Under Flywheel: 61.45305 Millimeter --> 0.06145305 Meter (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

τ = ((16/(pi*d_s^3))*sqrt((M_b)^2+(M_t)^2)) --> ((16/(pi*0.06145305^3))*sqrt((240)^2+(640)^2))

Evaluating ... ...

τ = 14999997.9544717

STEP 3: Convert Result to Output's Unit

14999997.9544717 Pascal -->14.9999979544717 Newton per Square Millimeter (Check conversion here)

FINAL ANSWER

14.9999979544717 ≈ 15 Newton per Square Millimeter <-- Shear Stress in Crankshaft Under Flywheel

(Calculation completed in 00.007 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 » Shear stress in centre crankshaft below flywheel for max torque given bending and torsional moment

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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

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

What is shear stress?

Shear stress is a force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress. It is the component of stress coplanar with a material cross-section. It arises from the shear force, the component of the force vector parallel to the material cross section.

What is Bending Moment?

Bending Moment is the reaction induced in a structural element when an external force or moment is applied to the element, causing the element to bend. The most common or simplest structural element subjected to bending moments is the beam.

How to Calculate Shear stress in centre crankshaft below flywheel for max torque given bending and torsional moment?

Shear stress in centre crankshaft below flywheel for max torque given bending and torsional moment calculator uses 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)) to calculate the Shear Stress in Crankshaft Under Flywheel, Shear stress in centre crankshaft below flywheel for max torque given bending and torsional moment formula calculates the shear stress-induced in the crankshaft portion under the flywheel, as a result of the bending and torsional moments onto the crankshaft, when the center crankshaft is designed for maximum torsional moment. Shear Stress in Crankshaft Under Flywheel is denoted by τ symbol.

How to calculate Shear stress in centre crankshaft below flywheel for max torque given bending and torsional moment using this online calculator? To use this online calculator for Shear stress in centre crankshaft below flywheel for max torque given bending and torsional moment, enter Diameter of Shaft Under Flywheel (d_s), 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 Shear stress in centre crankshaft below flywheel for max torque given bending and torsional moment calculation can be explained with given input values -> 5.6E-6 = ((16/(pi*0.06145305^3))*sqrt((240)^2+(640)^2)).

FAQ

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

Shear stress in centre crankshaft below flywheel for max torque given bending and torsional moment formula calculates the shear stress-induced in the crankshaft portion under the flywheel, as a result of the bending and torsional moments onto the crankshaft, when the center crankshaft is designed for maximum torsional moment and is represented as τ = ((16/(pi*d_s^3))*sqrt((M_b)^2+(M_t)^2)) or 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)). 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), 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 Shear stress in centre crankshaft below flywheel for max torque given bending and torsional moment?

Shear stress in centre crankshaft below flywheel for max torque given bending and torsional moment formula calculates the shear stress-induced in the crankshaft portion under the flywheel, as a result of the bending and torsional moments onto the crankshaft, when the center crankshaft is designed for maximum torsional moment is calculated using 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)). To calculate Shear stress in centre crankshaft below flywheel for max torque given bending and torsional moment, you need Diameter of Shaft Under Flywheel (d_s), 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 Diameter of Shaft 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 Shear Stress in Crankshaft Under Flywheel?

In this formula, Shear Stress in Crankshaft Under Flywheel uses Diameter of Shaft 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 -

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))

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