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Diameter of centre crankshaft under flywheel at max torque Formula

GoDiameter of centre crankshaft under flywheel at max torque given bending and torsional moment 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{{(R b \cdot c g)}^{2} + {(P t \cdot r)}^{2}})}^{\frac{1}{3}}

d_s - Diameter of Shaft Under Flywheel?τ - Shear Stress in Crankshaft Under Flywheel?R_b - Resultant Reaction on CrankShaft Bearing?c_g - Centre Crankshaft Bearing Gap From Flywheel?P_t - Tangential Force at Crank Pin?r - Distance Between Crank Pin And Crankshaft?π - Archimedes' constant?

Diameter of centre crankshaft under flywheel at max torque Example

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Here is how the Diameter of centre crankshaft under flywheel at max torque equation looks like with Values.

Here is how the Diameter of centre crankshaft under flywheel at max torque equation looks like with Units.

Here is how the Diameter of centre crankshaft under flywheel at max torque equation looks like.

61.453 = {((\frac{16}{3.1416 \cdot 15}) \cdot \sqrt{{(1200 \cdot 200)}^{2} + {(8000 \cdot 80)}^{2}})}^{\frac{1}{3}}

61.453mm = {((\frac{16}{3.1416 \cdot 15N/mm²}) \cdot \sqrt{{(1200N \cdot 200mm)}^{2} + {(8000N \cdot 80mm)}^{2}})}^{\frac{1}{3}}

61.453 = {((\frac{16}{3.1416 \cdot 15}) \cdot \sqrt{{(1200 \cdot 200)}^{2} + {(8000 \cdot 80)}^{2}})}^{\frac{1}{3}}

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Diameter of centre crankshaft under flywheel at max torque Solution

Follow our step by step solution on how to calculate Diameter of centre crankshaft under flywheel at max torque?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

d s = {((\frac{16}{π \cdot 15N/mm²}) \cdot \sqrt{{(1200N \cdot 200mm)}^{2} + {(8000N \cdot 80mm)}^{2}})}^{\frac{1}{3}}

Next Step Substitute values of Constants

∴

d s = {((\frac{16}{3.1416 \cdot 15N/mm²}) \cdot \sqrt{{(1200N \cdot 200mm)}^{2} + {(8000N \cdot 80mm)}^{2}})}^{\frac{1}{3}}

Next Step Convert Units

∴

d s = {((\frac{16}{3.1416 \cdot 1.5E+7Pa}) \cdot \sqrt{{(1200N \cdot 0.2m)}^{2} + {(8000N \cdot 0.08m)}^{2}})}^{\frac{1}{3}}

Next Step Prepare to Evaluate

∴

d s = {((\frac{16}{3.1416 \cdot 1.5E+7}) \cdot \sqrt{{(1200 \cdot 0.2)}^{2} + {(8000 \cdot 0.08)}^{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 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

Resultant Reaction on CrankShaft Bearing

Resultant Reaction on CrankShaft Bearing is the total reaction force on the third bearing of the crankshaft.

Symbol: R_b

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Resultant Reaction on CrankShaft Bearing

Centre Crankshaft Bearing Gap From Flywheel

Centre Crankshaft Bearing Gap From Flywheel is the distance between the third bearing of a center crankshaft and the line of action of flywheel weight.

Symbol: c_g

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Centre Crankshaft Bearing Gap From Flywheel

Tangential Force at Crank Pin

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.

Symbol: P_t

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Tangential Force at Crank Pin

Distance Between Crank Pin And Crankshaft

Distance Between Crank Pin And Crankshaft is the perpendicular distance between the crank pin and the crankshaft.

Symbol: r

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Distance Between Crank Pin And Crankshaft

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 given bending and torsional moment

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

Diameter of centre crankshaft under flywheel at max torque evaluator 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 evaluate 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 evaluate Diameter of centre crankshaft under flywheel at max torque using this online evaluator? To use this online evaluator for Diameter of centre crankshaft under flywheel at max torque, enter Shear Stress in Crankshaft Under Flywheel (τ), Resultant Reaction on CrankShaft Bearing (R_b), Centre Crankshaft Bearing Gap From Flywheel (c_g), Tangential Force at Crank Pin (P_t) & Distance Between Crank Pin And Crankshaft (r) and hit the calculate button.

FAQs on Diameter of centre crankshaft under flywheel at max torque

What is the formula to find Diameter of centre crankshaft under flywheel at max torque?

The formula of Diameter of centre crankshaft under flywheel at max torque is expressed as 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). Here is an example- 61453.05 = ((16/(pi*15000000))*sqrt((1200*0.2)^2+(8000*0.08)^2))^(1/3).

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

With Shear Stress in Crankshaft Under Flywheel (τ), Resultant Reaction on CrankShaft Bearing (R_b), Centre Crankshaft Bearing Gap From Flywheel (c_g), Tangential Force at Crank Pin (P_t) & Distance Between Crank Pin And Crankshaft (r) we can find Diameter of centre crankshaft under flywheel at max torque using the formula - 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). 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((Bending Moment at Crankshaft Under Flywheel)^2+(Torsional Moment at Crankshaft Under Flywheel)^2))^(1/3)

Can the Diameter of centre crankshaft under flywheel at max torque be negative?

No, the Diameter of centre crankshaft under flywheel at max torque, measured in Length cannot be negative.

Which unit is used to measure Diameter of centre crankshaft under flywheel at max torque?

Diameter of centre crankshaft under flywheel at max torque 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 can be measured.

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Diameter of centre crankshaft under flywheel at max torque Formula

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

Diameter of centre crankshaft under flywheel at max torque Example

Diameter of centre crankshaft under flywheel at max torque Solution

Diameter of centre crankshaft under flywheel at max torque 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?

FAQs on Diameter of centre crankshaft under flywheel at max torque

Variable Name

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