FormulaDen.com

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

Diameter of Circular Shaft given Equivalent Bending Stress Formula

GoDiameter of Circular Shaft for Equivalent Torque and Maximum Shear Stress Formula

Fx Copy

LaTeX Copy

Diameter of circular shaft is denoted by d. Check FAQs

Φ = {(\frac{32 \cdot M e}{π \cdot (σ b)})}^{\frac{1}{3}}

Φ - Diameter of Circular Shaft?M_e - Equivalent Bending Moment?σ_b - Bending Stress?π - Archimedes' constant?

Diameter of Circular Shaft given Equivalent Bending Stress Example

With values

With units

Only example

Here is how the Diameter of Circular Shaft given Equivalent Bending Stress equation looks like with Values.

Here is how the Diameter of Circular Shaft given Equivalent Bending Stress equation looks like with Units.

Here is how the Diameter of Circular Shaft given Equivalent Bending Stress equation looks like.

751.5011 = {(\frac{32 \cdot 30}{3.1416 \cdot (0.72)})}^{\frac{1}{3}}

751.5011mm = {(\frac{32 \cdot 30kN*m}{3.1416 \cdot (0.72MPa)})}^{\frac{1}{3}}

751.5011 = {(\frac{32 \cdot 30}{3.1416 \cdot (0.72)})}^{\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

Civil » Category

Strength of Materials » fx Diameter of Circular Shaft given Equivalent Bending Stress

Diameter of Circular Shaft given Equivalent Bending Stress Solution

Follow our step by step solution on how to calculate Diameter of Circular Shaft given Equivalent Bending Stress?

FIRST Step Consider the formula

Φ = {(\frac{32 \cdot M e}{π \cdot (σ b)})}^{\frac{1}{3}}

Next Step Substitute values of Variables

∴

Φ = {(\frac{32 \cdot 30kN*m}{π \cdot (0.72MPa)})}^{\frac{1}{3}}

Next Step Substitute values of Constants

∴

Φ = {(\frac{32 \cdot 30kN*m}{3.1416 \cdot (0.72MPa)})}^{\frac{1}{3}}

Next Step Convert Units

∴

Φ = {(\frac{32 \cdot 30000N*m}{3.1416 \cdot (720000Pa)})}^{\frac{1}{3}}

Next Step Prepare to Evaluate

∴

Φ = {(\frac{32 \cdot 30000}{3.1416 \cdot (720000)})}^{\frac{1}{3}}

Next Step Evaluate

∴

Φ = 0.751501101191218m

Next Step Convert to Output's Unit

∴

Φ = 751.501101191218mm

LAST Step Rounding Answer

∴

Φ = 751.5011mm

Diameter of Circular Shaft given Equivalent Bending Stress Formula Elements

Variables

Constants

Diameter of Circular Shaft

Diameter of circular shaft is denoted by d.

Symbol: Φ

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Diameter of Circular Shaft

Equivalent Bending Moment

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

Symbol: M_e

Measurement: Moment of ForceUnit: kN*m

Note: Value should be greater than 0.

Formulas to find Equivalent Bending Moment

Bending Stress

The Bending Stress is the normal stress that is induced at a point in a body subjected to loads that cause it to bend.

Symbol: σ_b

Measurement: StressUnit: MPa

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 to find Diameter of Circular Shaft

Go Diameter of Circular Shaft for Equivalent Torque and Maximum Shear Stress

Φ = {(\frac{16 \cdot T e}{π \cdot (τ max)})}^{\frac{1}{3}}

Other formulas in Equivalent Bending Moment and Torque category

Go Maximum Shear Stress due to Equivalent Torque

τ max = \frac{16 \cdot T e}{π \cdot (Φ^{3})}

Go Bending Stress of Circular Shaft given Equivalent Bending Moment

σ b = \frac{32 \cdot M e}{π \cdot (Φ^{3})}

Go Equivalent Torque given Maximum Shear Stress

T e = \frac{τ max}{\frac{16}{π \cdot (Φ^{3})}}

Go Equivalent Bending Moment of Circular Shaft

M e = \frac{σ b}{\frac{32}{π \cdot (Φ^{3})}}

How to Evaluate Diameter of Circular Shaft given Equivalent Bending Stress?

Diameter of Circular Shaft given Equivalent Bending Stress evaluator uses Diameter of Circular Shaft = ((32*Equivalent Bending Moment)/(pi*(Bending Stress)))^(1/3) to evaluate the Diameter of Circular Shaft, The Diameter of Circular Shaft given Equivalent Bending Stress formula is defined as the diametrical geometry influencing the bending moment and bending stress of the circular shaft. Diameter of Circular Shaft is denoted by Φ symbol.

How to evaluate Diameter of Circular Shaft given Equivalent Bending Stress using this online evaluator? To use this online evaluator for Diameter of Circular Shaft given Equivalent Bending Stress, enter Equivalent Bending Moment (M_e) & Bending Stress (σ_b) and hit the calculate button.

FAQs on Diameter of Circular Shaft given Equivalent Bending Stress

What is the formula to find Diameter of Circular Shaft given Equivalent Bending Stress?

The formula of Diameter of Circular Shaft given Equivalent Bending Stress is expressed as Diameter of Circular Shaft = ((32*Equivalent Bending Moment)/(pi*(Bending Stress)))^(1/3). Here is an example- 0.751501 = ((32*30000)/(pi*(720000)))^(1/3).

How to calculate Diameter of Circular Shaft given Equivalent Bending Stress?

With Equivalent Bending Moment (M_e) & Bending Stress (σ_b) we can find Diameter of Circular Shaft given Equivalent Bending Stress using the formula - Diameter of Circular Shaft = ((32*Equivalent Bending Moment)/(pi*(Bending Stress)))^(1/3). This formula also uses Archimedes' constant .

What are the other ways to Calculate Diameter of Circular Shaft?

Here are the different ways to Calculate Diameter of Circular Shaft-

Diameter of Circular Shaft=((16*Equivalent Torque)/(pi*(Maximum Shear Stress)))^(1/3)

Can the Diameter of Circular Shaft given Equivalent Bending Stress be negative?

No, the Diameter of Circular Shaft given Equivalent Bending Stress, measured in Length cannot be negative.

Which unit is used to measure Diameter of Circular Shaft given Equivalent Bending Stress?

Diameter of Circular Shaft given Equivalent Bending Stress is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Diameter of Circular Shaft given Equivalent Bending Stress can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

Diameter of Circular Shaft given Equivalent Bending Stress Formula

​GoDiameter of Circular Shaft for Equivalent Torque and Maximum Shear Stress Formula

Diameter of Circular Shaft given Equivalent Bending Stress Example

Diameter of Circular Shaft given Equivalent Bending Stress Solution

Diameter of Circular Shaft given Equivalent Bending Stress Formula Elements

Other Formulas to find Diameter of Circular Shaft

Other formulas in Equivalent Bending Moment and Torque category

How to Evaluate Diameter of Circular Shaft given Equivalent Bending Stress?

FAQs on Diameter of Circular Shaft given Equivalent Bending Stress

Variable Name

GoDiameter of Circular Shaft for Equivalent Torque and Maximum Shear Stress Formula