FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Outside Diameter of Hollow Shaft based on Equivalent Bending Moment Formula

Fx Copy

LaTeX Copy

Diameter of Hollow Shaft for Agitator is defined as the diameter of the hole in the iron laminations that contains the shaft. Check FAQs

d hollowshaft = {((M e) \cdot (\frac{32}{π}) \cdot \frac{1}{(f b) \cdot (1 - k^{4})})}^{\frac{1}{3}}

d_hollowshaft - Diameter of Hollow Shaft for Agitator?M_e - Equivalent Bending Moment?f_b - Bending Stress?k - Ratio of Inner to Outer Diameter of Hollow Shaft?π - Archimedes' constant?

Outside Diameter of Hollow Shaft based on Equivalent Bending Moment Example

With values

With units

Only example

Here is how the Outside Diameter of Hollow Shaft based on Equivalent Bending Moment equation looks like with Values.

Here is how the Outside Diameter of Hollow Shaft based on Equivalent Bending Moment equation looks like with Units.

Here is how the Outside Diameter of Hollow Shaft based on Equivalent Bending Moment equation looks like.

8.1066 = {((5000) \cdot (\frac{32}{3.1416}) \cdot \frac{1}{(200) \cdot (1 - {0.85}^{4})})}^{\frac{1}{3}}

8.1066mm = {((5000N*mm) \cdot (\frac{32}{3.1416}) \cdot \frac{1}{(200N/mm²) \cdot (1 - {0.85}^{4})})}^{\frac{1}{3}}

8.1066 = {((5000) \cdot (\frac{32}{3.1416}) \cdot \frac{1}{(200) \cdot (1 - {0.85}^{4})})}^{\frac{1}{3}}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Chemical Engineering » Category

Process Equipment Design » fx Outside Diameter of Hollow Shaft based on Equivalent Bending Moment

Outside Diameter of Hollow Shaft based on Equivalent Bending Moment Solution

Follow our step by step solution on how to calculate Outside Diameter of Hollow Shaft based on Equivalent Bending Moment?

FIRST Step Consider the formula

d hollowshaft = {((M e) \cdot (\frac{32}{π}) \cdot \frac{1}{(f b) \cdot (1 - k^{4})})}^{\frac{1}{3}}

Next Step Substitute values of Variables

∴

d hollowshaft = {((5000N*mm) \cdot (\frac{32}{π}) \cdot \frac{1}{(200N/mm²) \cdot (1 - {0.85}^{4})})}^{\frac{1}{3}}

Next Step Substitute values of Constants

∴

d hollowshaft = {((5000N*mm) \cdot (\frac{32}{3.1416}) \cdot \frac{1}{(200N/mm²) \cdot (1 - {0.85}^{4})})}^{\frac{1}{3}}

Next Step Convert Units

∴

d hollowshaft = {((5N*m) \cdot (\frac{32}{3.1416}) \cdot \frac{1}{(2E+8Pa) \cdot (1 - {0.85}^{4})})}^{\frac{1}{3}}

Next Step Prepare to Evaluate

∴

d hollowshaft = {((5) \cdot (\frac{32}{3.1416}) \cdot \frac{1}{(2E+8) \cdot (1 - {0.85}^{4})})}^{\frac{1}{3}}

Next Step Evaluate

∴

d hollowshaft = 0.00810661034827878m

Next Step Convert to Output's Unit

∴

d hollowshaft = 8.10661034827878mm

LAST Step Rounding Answer

∴

d hollowshaft = 8.1066mm

Outside Diameter of Hollow Shaft based on Equivalent Bending Moment Formula Elements

Variables

Constants

Diameter of Hollow Shaft for Agitator

Diameter of Hollow Shaft for Agitator is defined as the diameter of the hole in the iron laminations that contains the shaft.

Symbol: d_hollowshaft

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Diameter of Hollow Shaft for Agitator

Equivalent Bending Moment

The Equivalent Bending Moment is a bending moment which, acting alone, would produce in a shaft a normal stress .

Symbol: M_e

Measurement: Bending MomentUnit: N*mm

Note: Value should be greater than 0.

Formulas to find Equivalent Bending Moment

Bending Stress

Bending stress is the normal stress that an object encounters when it is subjected to a large load at a particular point that causes the object to bend and become fatigued.

Symbol: f_b

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Bending Stress

Ratio of Inner to Outer Diameter of Hollow Shaft

The Ratio of Inner to Outer Diameter of Hollow Shaft is defined as the inner diameter of the shaft divided by the outer diameter.

Symbol: k

Measurement: NAUnit: Unitless

Note: Value should be less than 1.

Formulas to find Ratio of Inner to Outer Diameter of Hollow Shaft

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

Other formulas in Design of Agitation System Components category

Go Equivalent Twisting Moment for Solid Shaft

Te solidshaft = (\sqrt{({M m}^{2}) + ({T m}^{2})})

Go Equivalent Twisting Moment for Hollow Shaft

Te hollowshaft = (\frac{π}{16}) \cdot (f b) \cdot ({d o}^{3}) \cdot (1 - k^{4})

Go Equivalent Bending Moment for Solid Shaft

Me solidshaft = (\frac{1}{2}) \cdot (M m + \sqrt{{M m}^{2} + {T m}^{2}})

Go Equivalent Bending Moment for Hollow Shaft

Me hollowshaft = (\frac{π}{32}) \cdot (f b) \cdot ({d o}^{3}) \cdot (1 - k^{4})

How to Evaluate Outside Diameter of Hollow Shaft based on Equivalent Bending Moment?

Outside Diameter of Hollow Shaft based on Equivalent Bending Moment evaluator uses Diameter of Hollow Shaft for Agitator = ((Equivalent Bending Moment)*(32/pi)*(1)/((Bending Stress)*(1-Ratio of Inner to Outer Diameter of Hollow Shaft^4)))^(1/3) to evaluate the Diameter of Hollow Shaft for Agitator, The Outside Diameter of Hollow Shaft based on Equivalent Bending Moment formula can be calculated with respect to the Bending Moment that alone produce maximum normal stress equal to the maximum normal stress produced due to combined bending and torsion. Diameter of Hollow Shaft for Agitator is denoted by d_hollowshaft symbol.

How to evaluate Outside Diameter of Hollow Shaft based on Equivalent Bending Moment using this online evaluator? To use this online evaluator for Outside Diameter of Hollow Shaft based on Equivalent Bending Moment, enter Equivalent Bending Moment (M_e), Bending Stress (f_b) & Ratio of Inner to Outer Diameter of Hollow Shaft (k) and hit the calculate button.

FAQs on Outside Diameter of Hollow Shaft based on Equivalent Bending Moment

What is the formula to find Outside Diameter of Hollow Shaft based on Equivalent Bending Moment?

The formula of Outside Diameter of Hollow Shaft based on Equivalent Bending Moment is expressed as Diameter of Hollow Shaft for Agitator = ((Equivalent Bending Moment)*(32/pi)*(1)/((Bending Stress)*(1-Ratio of Inner to Outer Diameter of Hollow Shaft^4)))^(1/3). Here is an example- 8106.61 = ((5)*(32/pi)*(1)/((200000000)*(1-0.85^4)))^(1/3).

How to calculate Outside Diameter of Hollow Shaft based on Equivalent Bending Moment?

With Equivalent Bending Moment (M_e), Bending Stress (f_b) & Ratio of Inner to Outer Diameter of Hollow Shaft (k) we can find Outside Diameter of Hollow Shaft based on Equivalent Bending Moment using the formula - Diameter of Hollow Shaft for Agitator = ((Equivalent Bending Moment)*(32/pi)*(1)/((Bending Stress)*(1-Ratio of Inner to Outer Diameter of Hollow Shaft^4)))^(1/3). This formula also uses Archimedes' constant .

Can the Outside Diameter of Hollow Shaft based on Equivalent Bending Moment be negative?

No, the Outside Diameter of Hollow Shaft based on Equivalent Bending Moment, measured in Length cannot be negative.

Which unit is used to measure Outside Diameter of Hollow Shaft based on Equivalent Bending Moment?

Outside Diameter of Hollow Shaft based on Equivalent Bending Moment is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Outside Diameter of Hollow Shaft based on Equivalent Bending Moment can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

Outside Diameter of Hollow Shaft based on Equivalent Bending Moment Formula

Outside Diameter of Hollow Shaft based on Equivalent Bending Moment Example

Outside Diameter of Hollow Shaft based on Equivalent Bending Moment Solution

Outside Diameter of Hollow Shaft based on Equivalent Bending Moment Formula Elements

Other formulas in Design of Agitation System Components category

How to Evaluate Outside Diameter of Hollow Shaft based on Equivalent Bending Moment?

FAQs on Outside Diameter of Hollow Shaft based on Equivalent Bending Moment

Variable Name