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Maximum Shear Stress due to Equivalent Torque Formula

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

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

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

Maximum Shear Stress due to Equivalent Torque Example

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Here is how the Maximum Shear Stress due to Equivalent Torque equation looks like with Values.

Here is how the Maximum Shear Stress due to Equivalent Torque equation looks like with Units.

Here is how the Maximum Shear Stress due to Equivalent Torque equation looks like.

0.3863 = \frac{16 \cdot 32}{3.1416 \cdot (750^{3})}

0.3863MPa = \frac{16 \cdot 32kN*m}{3.1416 \cdot ({750mm}^{3})}

0.3863 = \frac{16 \cdot 32}{3.1416 \cdot (750^{3})}

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Maximum Shear Stress due to Equivalent Torque Solution

Follow our step by step solution on how to calculate Maximum Shear Stress due to Equivalent Torque?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

τ max = \frac{16 \cdot 32kN*m}{π \cdot ({750mm}^{3})}

Next Step Substitute values of Constants

∴

τ max = \frac{16 \cdot 32kN*m}{3.1416 \cdot ({750mm}^{3})}

Next Step Convert Units

∴

τ max = \frac{16 \cdot 32000N*m}{3.1416 \cdot ({0.75m}^{3})}

Next Step Prepare to Evaluate

∴

τ max = \frac{16 \cdot 32000}{3.1416 \cdot ({0.75}^{3})}

Next Step Evaluate

∴

τ max = 386310.309276683Pa

Next Step Convert to Output's Unit

∴

τ max = 0.386310309276683MPa

LAST Step Rounding Answer

∴

τ max = 0.3863MPa

Maximum Shear Stress due to Equivalent Torque Formula Elements

Variables

Constants

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

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

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

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 Equivalent Bending Moment and Torque category

Go Bending Stress of Circular Shaft given Equivalent Bending Moment

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

Go Diameter of Circular Shaft given Equivalent Bending Stress

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

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}}

Go Equivalent Torque given Maximum Shear Stress

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

How to Evaluate Maximum Shear Stress due to Equivalent Torque?

Maximum Shear Stress due to Equivalent Torque evaluator uses Maximum Shear Stress = (16*Equivalent Torque)/(pi*(Diameter of Circular Shaft^3)) to evaluate the Maximum Shear Stress, The Maximum Shear Stress due to Equivalent Torque formula is defined as the greatest extent a shear force can be concentrated in a small area. Shear force occurs throughout any structural member when an outside force is acting in the opposite unaligned direction from internal forces. Maximum Shear Stress is denoted by τ_max symbol.

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

FAQs on Maximum Shear Stress due to Equivalent Torque

What is the formula to find Maximum Shear Stress due to Equivalent Torque?

The formula of Maximum Shear Stress due to Equivalent Torque is expressed as Maximum Shear Stress = (16*Equivalent Torque)/(pi*(Diameter of Circular Shaft^3)). Here is an example- 3.9E-7 = (16*32000)/(pi*(0.75^3)).

How to calculate Maximum Shear Stress due to Equivalent Torque?

With Equivalent Torque (T_e) & Diameter of Circular Shaft (Φ) we can find Maximum Shear Stress due to Equivalent Torque using the formula - Maximum Shear Stress = (16*Equivalent Torque)/(pi*(Diameter of Circular Shaft^3)). This formula also uses Archimedes' constant .

Can the Maximum Shear Stress due to Equivalent Torque be negative?

No, the Maximum Shear Stress due to Equivalent Torque, measured in Stress cannot be negative.

Which unit is used to measure Maximum Shear Stress due to Equivalent Torque?

Maximum Shear Stress due to Equivalent Torque 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 due to Equivalent Torque can be measured.

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Maximum Shear Stress due to Equivalent Torque Formula

Maximum Shear Stress due to Equivalent Torque Example

Maximum Shear Stress due to Equivalent Torque Solution

Maximum Shear Stress due to Equivalent Torque Formula Elements

Other formulas in Equivalent Bending Moment and Torque category

How to Evaluate Maximum Shear Stress due to Equivalent Torque?

FAQs on Maximum Shear Stress due to Equivalent Torque

Variable Name