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

GoDiameter of Circular Shaft given Equivalent Bending Stress Formula

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Diameter of circular shaft is denoted by d. Check FAQs

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

Φ - Diameter of Circular Shaft?T_e - Equivalent Torque?τ_max - Maximum Shear Stress?π - Archimedes' constant?

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

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Here is how the Diameter of Circular Shaft for Equivalent Torque and Maximum Shear Stress equation looks like with Values.

Here is how the Diameter of Circular Shaft for Equivalent Torque and Maximum Shear Stress equation looks like with Units.

Here is how the Diameter of Circular Shaft for Equivalent Torque and Maximum Shear Stress equation looks like.

157.1413 = {(\frac{16 \cdot 32}{3.1416 \cdot (42)})}^{\frac{1}{3}}

157.1413mm = {(\frac{16 \cdot 32kN*m}{3.1416 \cdot (42MPa)})}^{\frac{1}{3}}

157.1413 = {(\frac{16 \cdot 32}{3.1416 \cdot (42)})}^{\frac{1}{3}}

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

Follow our step by step solution on how to calculate Diameter of Circular Shaft for Equivalent Torque and Maximum Shear Stress?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

Φ = {(\frac{16 \cdot 32kN*m}{π \cdot (42MPa)})}^{\frac{1}{3}}

Next Step Substitute values of Constants

∴

Φ = {(\frac{16 \cdot 32kN*m}{3.1416 \cdot (42MPa)})}^{\frac{1}{3}}

Next Step Convert Units

∴

Φ = {(\frac{16 \cdot 32000N*m}{3.1416 \cdot (4.2E+7Pa)})}^{\frac{1}{3}}

Next Step Prepare to Evaluate

∴

Φ = {(\frac{16 \cdot 32000}{3.1416 \cdot (4.2E+7)})}^{\frac{1}{3}}

Next Step Evaluate

∴

Φ = 0.157141272610147m

Next Step Convert to Output's Unit

∴

Φ = 157.141272610147mm

LAST Step Rounding Answer

∴

Φ = 157.1413mm

Diameter of Circular Shaft for Equivalent Torque and Maximum Shear 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 Torque

Equivalent Torque is the torque which will produce the same maximum shear stress as produced by the bending moment and torque acting separately.

Symbol: T_e

Measurement: TorqueUnit: kN*m

Note: Value should be greater than 0.

Formulas to find Equivalent Torque

Maximum Shear Stress

Maximum Shear Stress is the greatest extent a shear force can be concentrated in a small area.

Symbol: τ_max

Measurement: StressUnit: MPa

Note: Value should be greater than 0.

Formulas to find Maximum Shear 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 given Equivalent Bending Stress

Φ = {(\frac{32 \cdot M e}{π \cdot (σ b)})}^{\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 for Equivalent Torque and Maximum Shear Stress?

Diameter of Circular Shaft for Equivalent Torque and Maximum Shear Stress evaluator uses Diameter of Circular Shaft = ((16*Equivalent Torque)/(pi*(Maximum Shear Stress)))^(1/3) to evaluate the Diameter of Circular Shaft, The Diameter of Circular Shaft for Equivalent Torque and Maximum Shear Stress formula is defined as diameter of the shaft of the member attached to the system. Diameter of Circular Shaft is denoted by Φ symbol.

How to evaluate Diameter of Circular Shaft for Equivalent Torque and Maximum Shear Stress using this online evaluator? To use this online evaluator for Diameter of Circular Shaft for Equivalent Torque and Maximum Shear Stress, enter Equivalent Torque (T_e) & Maximum Shear Stress (τ_max) and hit the calculate button.

FAQs on Diameter of Circular Shaft for Equivalent Torque and Maximum Shear Stress

What is the formula to find Diameter of Circular Shaft for Equivalent Torque and Maximum Shear Stress?

The formula of Diameter of Circular Shaft for Equivalent Torque and Maximum Shear Stress is expressed as Diameter of Circular Shaft = ((16*Equivalent Torque)/(pi*(Maximum Shear Stress)))^(1/3). Here is an example- 0.157141 = ((16*32000)/(pi*(42000000)))^(1/3).

How to calculate Diameter of Circular Shaft for Equivalent Torque and Maximum Shear Stress?

With Equivalent Torque (T_e) & Maximum Shear Stress (τ_max) we can find Diameter of Circular Shaft for Equivalent Torque and Maximum Shear Stress using the formula - Diameter of Circular Shaft = ((16*Equivalent Torque)/(pi*(Maximum Shear 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=((32*Equivalent Bending Moment)/(pi*(Bending Stress)))^(1/3)

Can the Diameter of Circular Shaft for Equivalent Torque and Maximum Shear Stress be negative?

No, the Diameter of Circular Shaft for Equivalent Torque and Maximum Shear Stress, measured in Length cannot be negative.

Which unit is used to measure Diameter of Circular Shaft for Equivalent Torque and Maximum Shear Stress?

Diameter of Circular Shaft for Equivalent Torque and Maximum Shear 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 for Equivalent Torque and Maximum Shear Stress can be measured.

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

​GoDiameter of Circular Shaft given Equivalent Bending Stress Formula

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

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

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

FAQs on Diameter of Circular Shaft for Equivalent Torque and Maximum Shear Stress

Variable Name

GoDiameter of Circular Shaft given Equivalent Bending Stress Formula