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Diameter of Solid Shaft Subjected to Maximum Bending Moment Formula

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

d solidshaft = {(\frac{M solidshaft}{(\frac{π}{32}) \cdot f b})}^{\frac{1}{3}}

d_solidshaft - Diameter of Solid Shaft for Agitator?M_solidshaft - Maximum Bending Moment for Solid Shaft?f_b - Bending Stress?π - Archimedes' constant?

Diameter of Solid Shaft Subjected to Maximum Bending Moment Example

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Here is how the Diameter of Solid Shaft Subjected to Maximum Bending Moment equation looks like with Values.

Here is how the Diameter of Solid Shaft Subjected to Maximum Bending Moment equation looks like with Units.

Here is how the Diameter of Solid Shaft Subjected to Maximum Bending Moment equation looks like.

5.7331 = {(\frac{3700}{(\frac{3.1416}{32}) \cdot 200})}^{\frac{1}{3}}

5.7331mm = {(\frac{3700N*mm}{(\frac{3.1416}{32}) \cdot 200N/mm²})}^{\frac{1}{3}}

5.7331 = {(\frac{3700}{(\frac{3.1416}{32}) \cdot 200})}^{\frac{1}{3}}

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Diameter of Solid Shaft Subjected to Maximum Bending Moment Solution

Follow our step by step solution on how to calculate Diameter of Solid Shaft Subjected to Maximum Bending Moment?

FIRST Step Consider the formula

d solidshaft = {(\frac{M solidshaft}{(\frac{π}{32}) \cdot f b})}^{\frac{1}{3}}

Next Step Substitute values of Variables

∴

d solidshaft = {(\frac{3700N*mm}{(\frac{π}{32}) \cdot 200N/mm²})}^{\frac{1}{3}}

Next Step Substitute values of Constants

∴

d solidshaft = {(\frac{3700N*mm}{(\frac{3.1416}{32}) \cdot 200N/mm²})}^{\frac{1}{3}}

Next Step Convert Units

∴

d solidshaft = {(\frac{3.7N*m}{(\frac{3.1416}{32}) \cdot 2E+8Pa})}^{\frac{1}{3}}

Next Step Prepare to Evaluate

∴

d solidshaft = {(\frac{3.7}{(\frac{3.1416}{32}) \cdot 2E+8})}^{\frac{1}{3}}

Next Step Evaluate

∴

d solidshaft = 0.00573311444568827m

Next Step Convert to Output's Unit

∴

d solidshaft = 5.73311444568827mm

LAST Step Rounding Answer

∴

d solidshaft = 5.7331mm

Diameter of Solid Shaft Subjected to Maximum Bending Moment Formula Elements

Variables

Constants

Diameter of Solid Shaft for Agitator

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

Symbol: d_solidshaft

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Diameter of Solid Shaft for Agitator

Maximum Bending Moment for Solid Shaft

Maximum Bending Moment for Solid Shaft refers to the maximum value of the internal bending moment experienced by the shaft when subjected to an external load or forces.

Symbol: M_solidshaft

Measurement: Bending MomentUnit: N*mm

Note: Value can be positive or negative.

Formulas to find Maximum Bending Moment for Solid Shaft

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

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 Force for Design of Shaft Based on Pure Bending

F m = \frac{T m}{0.75 \cdot h m}

Go Maximum Torque of Shaft Subjected to Bending Moment only

T m = F m \cdot (0.75 \cdot R b)

Go Maximum Bending Moment subject to Shaft

M m = l \cdot F m

Go Diameter of Hollow Shaft Subjected to Maximum Bending Moment

d o = {(\frac{M m}{(\frac{π}{32}) \cdot (f b) \cdot (1 - k^{2})})}^{\frac{1}{3}}

How to Evaluate Diameter of Solid Shaft Subjected to Maximum Bending Moment?

Diameter of Solid Shaft Subjected to Maximum Bending Moment evaluator uses Diameter of Solid Shaft for Agitator = ((Maximum Bending Moment for Solid Shaft)/((pi/32)*Bending Stress))^(1/3) to evaluate the Diameter of Solid Shaft for Agitator, Diameter of Solid Shaft Subjected to Maximum Bending Moment is defined as the ratio of maximum bending moment of the shaft to bending stress for agitator. Diameter of Solid Shaft for Agitator is denoted by d_solidshaft symbol.

How to evaluate Diameter of Solid Shaft Subjected to Maximum Bending Moment using this online evaluator? To use this online evaluator for Diameter of Solid Shaft Subjected to Maximum Bending Moment, enter Maximum Bending Moment for Solid Shaft (M_solidshaft) & Bending Stress (f_b) and hit the calculate button.

FAQs on Diameter of Solid Shaft Subjected to Maximum Bending Moment

What is the formula to find Diameter of Solid Shaft Subjected to Maximum Bending Moment?

The formula of Diameter of Solid Shaft Subjected to Maximum Bending Moment is expressed as Diameter of Solid Shaft for Agitator = ((Maximum Bending Moment for Solid Shaft)/((pi/32)*Bending Stress))^(1/3). Here is an example- 5733.114 = ((3.7)/((pi/32)*200000000))^(1/3).

How to calculate Diameter of Solid Shaft Subjected to Maximum Bending Moment?

With Maximum Bending Moment for Solid Shaft (M_solidshaft) & Bending Stress (f_b) we can find Diameter of Solid Shaft Subjected to Maximum Bending Moment using the formula - Diameter of Solid Shaft for Agitator = ((Maximum Bending Moment for Solid Shaft)/((pi/32)*Bending Stress))^(1/3). This formula also uses Archimedes' constant .

Can the Diameter of Solid Shaft Subjected to Maximum Bending Moment be negative?

No, the Diameter of Solid Shaft Subjected to Maximum Bending Moment, measured in Length cannot be negative.

Which unit is used to measure Diameter of Solid Shaft Subjected to Maximum Bending Moment?

Diameter of Solid Shaft Subjected to Maximum Bending 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 Solid Shaft Subjected to Maximum Bending Moment can be measured.

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