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

GoDiameter of centre crankshaft under flywheel at max torque Formula

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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). Check FAQs

d s = {((\frac{16}{π \cdot τ}) \cdot \sqrt{{(M b)}^{2} + {(M t)}^{2}})}^{\frac{1}{3}}

d_s - Diameter of Shaft Under Flywheel?τ - Shear Stress in Crankshaft Under Flywheel?M_b - Bending Moment at Crankshaft Under Flywheel?M_t - Torsional Moment at Crankshaft Under Flywheel?π - Archimedes' constant?

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

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Here is how the Diameter of centre crankshaft under flywheel at max torque given bending and torsional moment equation looks like with Units.

Here is how the Diameter of centre crankshaft under flywheel at max torque given bending and torsional moment equation looks like.

61.453 = {((\frac{16}{3.1416 \cdot 15}) \cdot \sqrt{{(240000)}^{2} + {(640000)}^{2}})}^{\frac{1}{3}}

61.453mm = {((\frac{16}{3.1416 \cdot 15N/mm²}) \cdot \sqrt{{(240000N*mm)}^{2} + {(640000N*mm)}^{2}})}^{\frac{1}{3}}

61.453 = {((\frac{16}{3.1416 \cdot 15}) \cdot \sqrt{{(240000)}^{2} + {(640000)}^{2}})}^{\frac{1}{3}}

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

Follow our step by step solution on how to calculate Diameter of centre crankshaft under flywheel at max torque given bending and torsional moment?

FIRST Step Consider the formula

d s = {((\frac{16}{π \cdot τ}) \cdot \sqrt{{(M b)}^{2} + {(M t)}^{2}})}^{\frac{1}{3}}

Next Step Substitute values of Variables

∴

d s = {((\frac{16}{π \cdot 15N/mm²}) \cdot \sqrt{{(240000N*mm)}^{2} + {(640000N*mm)}^{2}})}^{\frac{1}{3}}

Next Step Substitute values of Constants

∴

d s = {((\frac{16}{3.1416 \cdot 15N/mm²}) \cdot \sqrt{{(240000N*mm)}^{2} + {(640000N*mm)}^{2}})}^{\frac{1}{3}}

Next Step Convert Units

∴

d s = {((\frac{16}{3.1416 \cdot 1.5E+7Pa}) \cdot \sqrt{{(240N*m)}^{2} + {(640N*m)}^{2}})}^{\frac{1}{3}}

Next Step Prepare to Evaluate

∴

d s = {((\frac{16}{3.1416 \cdot 1.5E+7}) \cdot \sqrt{{(240)}^{2} + {(640)}^{2}})}^{\frac{1}{3}}

Next Step Evaluate

∴

d s = 0.0614530472065787m

Next Step Convert to Output's Unit

∴

d s = 61.4530472065787mm

LAST Step Rounding Answer

∴

d s = 61.453mm

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

Variables

Constants

Functions

Diameter of Shaft Under Flywheel

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).

Symbol: d_s

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Diameter of Shaft Under Flywheel

Shear Stress in Crankshaft Under Flywheel

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.

Symbol: τ

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Shear Stress in Crankshaft Under Flywheel

Bending Moment at Crankshaft 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.

Symbol: M_b

Measurement: TorqueUnit: N*mm

Note: Value should be greater than 0.

Formulas to find Bending Moment at Crankshaft Under Flywheel

Torsional Moment at Crankshaft Under Flywheel

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.

Symbol: M_t

Measurement: TorqueUnit: N*mm

Note: Value should be greater than 0.

Formulas to find Torsional Moment at Crankshaft Under Flywheel

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

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.

Syntax: sqrt(Number)

Other Formulas to find Diameter of Shaft Under Flywheel

Go Diameter of centre crankshaft under flywheel at max torque

d s = {((\frac{16}{π \cdot τ}) \cdot \sqrt{{(R b \cdot c g)}^{2} + {(P t \cdot r)}^{2}})}^{\frac{1}{3}}

Other formulas in Design of Shaft Under Flywheel at Angle of Maximum Torque category

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

M b = R b \cdot c g

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

M t = P t \cdot r

Go Shear stress in centre crankshaft below flywheel for max torque

τ = (\frac{16}{π \cdot {d s}^{3}}) \cdot \sqrt{{(R b \cdot c g)}^{2} + {(P t \cdot r)}^{2}}

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

τ = (\frac{16}{π \cdot {d s}^{3}}) \cdot \sqrt{{(M b)}^{2} + {(M t)}^{2}}

How to Evaluate 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 evaluator 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 evaluate 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 evaluate Diameter of centre crankshaft under flywheel at max torque given bending and torsional moment using this online evaluator? To use this online evaluator 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.

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

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

The formula of Diameter of centre crankshaft under flywheel at max torque given bending and torsional moment is expressed as 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). Here is an example- 44197.17 = ((16/(pi*15000000))*sqrt((240)^2+(640)^2))^(1/3).

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

With Shear Stress in Crankshaft Under Flywheel (τ), Bending Moment at Crankshaft Under Flywheel (M_b) & Torsional Moment at Crankshaft Under Flywheel (M_t) we can find Diameter of centre crankshaft under flywheel at max torque given bending and torsional moment using the formula - 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). This formula also uses Archimedes' constant and Square Root (sqrt) function(s).

What are the other ways to Calculate Diameter of Shaft Under Flywheel?

Here are the different ways to Calculate Diameter of Shaft Under Flywheel-

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)

Can the Diameter of centre crankshaft under flywheel at max torque given bending and torsional moment be negative?

No, the Diameter of centre crankshaft under flywheel at max torque given bending and torsional moment, measured in Length cannot be negative.

Which unit is used to measure 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 usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Diameter of centre crankshaft under flywheel at max torque given bending and torsional moment can be measured.

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

​GoDiameter of centre crankshaft under flywheel at max torque Formula

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

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

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

Other Formulas to find Diameter of Shaft Under Flywheel

Other formulas in Design of Shaft Under Flywheel at Angle of Maximum Torque category

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

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

Variable Name

GoDiameter of centre crankshaft under flywheel at max torque Formula