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Maximum Shear Stress induced in Wire given Twisting Moment Formula

GoMaximum Shear Stress induced in Wire Formula

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Maximum Shear Stress in Wire that acts coplanar with cross-section of material, arises due to shear forces. Check FAQs

𝜏 w = \frac{16 \cdot D}{π \cdot d^{3}}

𝜏_w - Maximum Shear Stress in Wire?D - Twisting Moments on Shells?d - Diameter of Spring Wire?π - Archimedes' constant?

Maximum Shear Stress induced in Wire given Twisting Moment Example

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Here is how the Maximum Shear Stress induced in Wire given Twisting Moment equation looks like with Values.

Here is how the Maximum Shear Stress induced in Wire given Twisting Moment equation looks like with Units.

Here is how the Maximum Shear Stress induced in Wire given Twisting Moment equation looks like.

927.2568 = \frac{16 \cdot 3.2}{3.1416 \cdot 26^{3}}

927.2568MPa = \frac{16 \cdot 3.2kN*m}{3.1416 \cdot {26mm}^{3}}

927.2568 = \frac{16 \cdot 3.2}{3.1416 \cdot 26^{3}}

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Maximum Shear Stress induced in Wire given Twisting Moment Solution

Follow our step by step solution on how to calculate Maximum Shear Stress induced in Wire given Twisting Moment?

FIRST Step Consider the formula

𝜏 w = \frac{16 \cdot D}{π \cdot d^{3}}

Next Step Substitute values of Variables

∴

𝜏 w = \frac{16 \cdot 3.2kN*m}{π \cdot {26mm}^{3}}

Next Step Substitute values of Constants

∴

𝜏 w = \frac{16 \cdot 3.2kN*m}{3.1416 \cdot {26mm}^{3}}

Next Step Convert Units

∴

𝜏 w = \frac{16 \cdot 3200N*m}{3.1416 \cdot {0.026m}^{3}}

Next Step Prepare to Evaluate

∴

𝜏 w = \frac{16 \cdot 3200}{3.1416 \cdot {0.026}^{3}}

Next Step Evaluate

∴

𝜏 w = 927256837.312818Pa

Next Step Convert to Output's Unit

∴

𝜏 w = 927.256837312818MPa

LAST Step Rounding Answer

∴

𝜏 w = 927.2568MPa

Maximum Shear Stress induced in Wire given Twisting Moment Formula Elements

Variables

Constants

Maximum Shear Stress in Wire

Maximum Shear Stress in Wire that acts coplanar with cross-section of material, arises due to shear forces.

Symbol: 𝜏_w

Measurement: StressUnit: MPa

Note: Value can be positive or negative.

Formulas to find Maximum Shear Stress in Wire

Twisting Moments on Shells

Twisting Moments on Shells is the torque applied to the shaft or shell in order to make the structures twisted.

Symbol: D

Measurement: Moment of ForceUnit: kN*m

Note: Value should be greater than 0.

Formulas to find Twisting Moments on Shells

Diameter of Spring Wire

Diameter of spring wire is the diameter length of spring wire.

Symbol: d

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Diameter of Spring Wire

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 Maximum Shear Stress in Wire

Go Maximum Shear Stress induced in Wire

𝜏 w = \frac{16 \cdot P \cdot R}{π \cdot d^{3}}

Other formulas in Loads and Parameter of Spring category

Go Twisting Moment on Wire of Helical Spring

D = P \cdot R

Go Twisting Moment given Maximum Shear Stress induced in Wire

D = \frac{π \cdot 𝜏 w \cdot d^{3}}{16}

Go Total Length of Wire of Helical Spring

L wire = L \cdot N

Go Total Length of Wire of Helical Spring given Mean Radius of Spring Roll

L wire = 2 \cdot π \cdot R \cdot N

How to Evaluate Maximum Shear Stress induced in Wire given Twisting Moment?

Maximum Shear Stress induced in Wire given Twisting Moment evaluator uses Maximum Shear Stress in Wire = (16*Twisting Moments on Shells)/(pi*Diameter of Spring Wire^3) to evaluate the Maximum Shear Stress in Wire, The Maximum shear stress induced in wire given twisting moment formula is defined as the component of stress coplanar with a material cross-section. It arises from the shear force, the component of the force vector parallel to the material cross-section. Maximum Shear Stress in Wire is denoted by 𝜏_w symbol.

How to evaluate Maximum Shear Stress induced in Wire given Twisting Moment using this online evaluator? To use this online evaluator for Maximum Shear Stress induced in Wire given Twisting Moment, enter Twisting Moments on Shells (D) & Diameter of Spring Wire (d) and hit the calculate button.

FAQs on Maximum Shear Stress induced in Wire given Twisting Moment

What is the formula to find Maximum Shear Stress induced in Wire given Twisting Moment?

The formula of Maximum Shear Stress induced in Wire given Twisting Moment is expressed as Maximum Shear Stress in Wire = (16*Twisting Moments on Shells)/(pi*Diameter of Spring Wire^3). Here is an example- 0.028977 = (16*3200)/(pi*0.026^3).

How to calculate Maximum Shear Stress induced in Wire given Twisting Moment?

With Twisting Moments on Shells (D) & Diameter of Spring Wire (d) we can find Maximum Shear Stress induced in Wire given Twisting Moment using the formula - Maximum Shear Stress in Wire = (16*Twisting Moments on Shells)/(pi*Diameter of Spring Wire^3). This formula also uses Archimedes' constant .

What are the other ways to Calculate Maximum Shear Stress in Wire?

Here are the different ways to Calculate Maximum Shear Stress in Wire-

Maximum Shear Stress in Wire=(16*Axial Load*Mean Radius Spring Coil)/(pi*Diameter of Spring Wire^3)

Can the Maximum Shear Stress induced in Wire given Twisting Moment be negative?

Yes, the Maximum Shear Stress induced in Wire given Twisting Moment, measured in Stress can be negative.

Which unit is used to measure Maximum Shear Stress induced in Wire given Twisting Moment?

Maximum Shear Stress induced in Wire given Twisting Moment is usually measured using the Megapascal[MPa] for Stress. Pascal[MPa], Newton per Square Meter[MPa], Newton per Square Millimeter[MPa] are the few other units in which Maximum Shear Stress induced in Wire given Twisting Moment can be measured.

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