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Shear stress in shaft given torque transmitted by shaft Formula

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The Shear Stress in Shaft is the internal force per unit area acting parallel to the shaft's cross-section, crucial for assessing the strength and stability of flanged couplings. Check FAQs

𝜏 = \frac{16 \cdot T shaft}{π \cdot ({d s}^{3})}

𝜏 - Shear Stress in Shaft?T_shaft - Torque Transmitted by Shaft?d_s - Diameter of Shaft?π - Archimedes' constant?

Shear stress in shaft given torque transmitted by shaft Example

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Here is how the Shear stress in shaft given torque transmitted by shaft equation looks like with Values.

Here is how the Shear stress in shaft given torque transmitted by shaft equation looks like with Units.

Here is how the Shear stress in shaft given torque transmitted by shaft equation looks like.

2.0009 = \frac{16 \cdot 50}{3.1416 \cdot ({50.3}^{3})}

2.0009MPa = \frac{16 \cdot 50N*m}{3.1416 \cdot ({50.3mm}^{3})}

2.0009 = \frac{16 \cdot 50}{3.1416 \cdot ({50.3}^{3})}

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Shear stress in shaft given torque transmitted by shaft Solution

Follow our step by step solution on how to calculate Shear stress in shaft given torque transmitted by shaft?

FIRST Step Consider the formula

𝜏 = \frac{16 \cdot T shaft}{π \cdot ({d s}^{3})}

Next Step Substitute values of Variables

∴

𝜏 = \frac{16 \cdot 50N*m}{π \cdot ({50.3mm}^{3})}

Next Step Substitute values of Constants

∴

𝜏 = \frac{16 \cdot 50N*m}{3.1416 \cdot ({50.3mm}^{3})}

Next Step Convert Units

∴

𝜏 = \frac{16 \cdot 50N*m}{3.1416 \cdot ({0.0503m}^{3})}

Next Step Prepare to Evaluate

∴

𝜏 = \frac{16 \cdot 50}{3.1416 \cdot ({0.0503}^{3})}

Next Step Evaluate

∴

𝜏 = 2000949.6432315Pa

Next Step Convert to Output's Unit

∴

𝜏 = 2.0009496432315MPa

LAST Step Rounding Answer

∴

𝜏 = 2.0009MPa

Shear stress in shaft given torque transmitted by shaft Formula Elements

Variables

Constants

Shear Stress in Shaft

The Shear Stress in Shaft is the internal force per unit area acting parallel to the shaft's cross-section, crucial for assessing the strength and stability of flanged couplings.

Symbol: 𝜏

Measurement: StressUnit: MPa

Note: Value should be greater than 0.

Formulas to find Shear Stress in Shaft

Torque Transmitted by Shaft

The Torque Transmitted by Shaft is the rotational force transferred through a shaft in a flanged coupling, essential for efficient power transmission in mechanical systems.

Symbol: T_shaft

Measurement: TorqueUnit: N*m

Note: Value should be greater than 0.

Formulas to find Torque Transmitted by Shaft

Diameter of Shaft

The Diameter of Shaft is the measurement across the widest part of the shaft, crucial for ensuring proper fit and function in flanged coupling applications.

Symbol: d_s

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Diameter of 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 Flanged Coupling category

Go Maximum amount of load that can be resisted by one bolt

W = \frac{f s \cdot π \cdot {d bolt}^{2}}{4}

Go Shear Stress in Bolt using Maximum Load that can be Resisted by One Bolt

f s = \frac{4 \cdot W}{π \cdot ({d bolt}^{2})}

Go Diameter of bolt given maximum load that can be resisted by one bolt

d bolt = \sqrt{\frac{4 \cdot W}{π \cdot f s}}

Go Torque Resisted by One Bolt using Load Resisted by One Bolt

T bolt = W \cdot \frac{d pitch}{2}

How to Evaluate Shear stress in shaft given torque transmitted by shaft?

Shear stress in shaft given torque transmitted by shaft evaluator uses Shear Stress in Shaft = (16*Torque Transmitted by Shaft)/(pi*(Diameter of Shaft^3)) to evaluate the Shear Stress in Shaft, Shear stress in shaft given torque transmitted by shaft formula is defined as a measure of the internal resistance of a shaft to twisting or rotational forces, typically occurring in mechanical systems such as flanged couplings, where the shaft is subjected to torque transmission. Shear Stress in Shaft is denoted by 𝜏 symbol.

How to evaluate Shear stress in shaft given torque transmitted by shaft using this online evaluator? To use this online evaluator for Shear stress in shaft given torque transmitted by shaft, enter Torque Transmitted by Shaft (T_shaft) & Diameter of Shaft (d_s) and hit the calculate button.

FAQs on Shear stress in shaft given torque transmitted by shaft

What is the formula to find Shear stress in shaft given torque transmitted by shaft?

The formula of Shear stress in shaft given torque transmitted by shaft is expressed as Shear Stress in Shaft = (16*Torque Transmitted by Shaft)/(pi*(Diameter of Shaft^3)). Here is an example- 1.5E-10 = (16*50)/(pi*(0.0503^3)).

How to calculate Shear stress in shaft given torque transmitted by shaft?

With Torque Transmitted by Shaft (T_shaft) & Diameter of Shaft (d_s) we can find Shear stress in shaft given torque transmitted by shaft using the formula - Shear Stress in Shaft = (16*Torque Transmitted by Shaft)/(pi*(Diameter of Shaft^3)). This formula also uses Archimedes' constant .

Can the Shear stress in shaft given torque transmitted by shaft be negative?

No, the Shear stress in shaft given torque transmitted by shaft, measured in Stress cannot be negative.

Which unit is used to measure Shear stress in shaft given torque transmitted by shaft?

Shear stress in shaft given torque transmitted by shaft 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 Shear stress in shaft given torque transmitted by shaft can be measured.

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Shear stress in shaft given torque transmitted by shaft Formula

Shear stress in shaft given torque transmitted by shaft Example

Shear stress in shaft given torque transmitted by shaft Solution

Shear stress in shaft given torque transmitted by shaft Formula Elements

Other formulas in Flanged Coupling category

How to Evaluate Shear stress in shaft given torque transmitted by shaft?

FAQs on Shear stress in shaft given torque transmitted by shaft

Variable Name