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Shear Stress at Elementary Ring of Hollow Circular Shaft Formula

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The Shear Stress at Elementary Ring is the internal stress experienced by a thin ring in a hollow shaft due to the applied torque, affecting its structural integrity. Check FAQs

q = \frac{2 \cdot 𝜏 s \cdot r}{d o}

q - Shear Stress at Elementary Ring?𝜏_s - Maximum Shear Stress?r - Radius of Elementary Circular Ring?d_o - Outer Diameter of Shaft?

Shear Stress at Elementary Ring of Hollow Circular Shaft Example

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Here is how the Shear Stress at Elementary Ring of Hollow Circular Shaft equation looks like with Values.

Here is how the Shear Stress at Elementary Ring of Hollow Circular Shaft equation looks like with Units.

Here is how the Shear Stress at Elementary Ring of Hollow Circular Shaft equation looks like.

31.831 = \frac{2 \cdot 111.4085 \cdot 2}{14}

31.831MPa = \frac{2 \cdot 111.4085MPa \cdot 2mm}{14mm}

31.831 = \frac{2 \cdot 111.4085 \cdot 2}{14}

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Shear Stress at Elementary Ring of Hollow Circular Shaft Solution

Follow our step by step solution on how to calculate Shear Stress at Elementary Ring of Hollow Circular Shaft?

FIRST Step Consider the formula

q = \frac{2 \cdot 𝜏 s \cdot r}{d o}

Next Step Substitute values of Variables

∴

q = \frac{2 \cdot 111.4085MPa \cdot 2mm}{14mm}

Next Step Convert Units

∴

q = \frac{2 \cdot 1.1E+8Pa \cdot 0.002m}{0.014m}

Next Step Prepare to Evaluate

∴

q = \frac{2 \cdot 1.1E+8 \cdot 0.002}{0.014}

Next Step Evaluate

∴

q = 31831000Pa

LAST Step Convert to Output's Unit

∴

q = 31.831MPa

Shear Stress at Elementary Ring of Hollow Circular Shaft Formula Elements

Variables

Shear Stress at Elementary Ring

The Shear Stress at Elementary Ring is the internal stress experienced by a thin ring in a hollow shaft due to the applied torque, affecting its structural integrity.

Symbol: q

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Shear Stress at Elementary Ring

Maximum Shear Stress

The Maximum Shear Stress is the highest stress experienced by a material in a hollow circular shaft when subjected to torque, influencing its structural integrity and performance.

Symbol: 𝜏_s

Measurement: StressUnit: MPa

Note: Value can be positive or negative.

Formulas to find Maximum Shear Stress

Radius of Elementary Circular Ring

The Radius of Elementary Circular Ring is the distance from the center to the edge of a thin circular section, relevant in analyzing torque in hollow shafts.

Symbol: r

Measurement: LengthUnit: mm

Note: Value can be positive or negative.

Formulas to find Radius of Elementary Circular Ring

Outer Diameter of Shaft

The Outer Diameter of Shaft is the measurement across the widest part of a hollow circular shaft, influencing its strength and torque transmission capabilities.

Symbol: d_o

Measurement: LengthUnit: mm

Note: Value can be positive or negative.

Formulas to find Outer Diameter of Shaft

Other formulas in Torque Transmitted by a Hollow Circular Shaft category

Go Maximum Shear Stress at Outer Surface given Diameter of Shaft on Hollow Circular Shaft

𝜏 m = \frac{16 \cdot d o \cdot T}{π \cdot ({d o}^{4} - {d i}^{4})}

Go Total Turning Moment on Hollow Circular Shaft given Diameter of Shaft

T = \frac{π \cdot 𝜏 m \cdot (({d o}^{4}) - ({d i}^{4}))}{16 \cdot d o}

Go Maximum Shear Stress at Outer Surface given Total Turning Moment on Hollow Circular Shaft

𝜏 m = \frac{T \cdot 2 \cdot r h}{π \cdot ({r h}^{4} - {r i}^{4})}

Go Total Turning Moment on Hollow Circular Shaft given Radius of Shaft

T = \frac{π \cdot 𝜏 m \cdot (({r h}^{4}) - ({r i}^{4}))}{2 \cdot r h}

How to Evaluate Shear Stress at Elementary Ring of Hollow Circular Shaft?

Shear Stress at Elementary Ring of Hollow Circular Shaft evaluator uses Shear Stress at Elementary Ring = (2*Maximum Shear Stress*Radius of Elementary Circular Ring)/Outer Diameter of Shaft to evaluate the Shear Stress at Elementary Ring, Shear Stress at Elementary Ring of Hollow Circular Shaft formula is defined as a measure of the internal resistance to shear forces within a hollow circular shaft. It helps in understanding how torque is transmitted through the shaft and the distribution of stress across its cross-section. Shear Stress at Elementary Ring is denoted by q symbol.

How to evaluate Shear Stress at Elementary Ring of Hollow Circular Shaft using this online evaluator? To use this online evaluator for Shear Stress at Elementary Ring of Hollow Circular Shaft, enter Maximum Shear Stress (𝜏_s), Radius of Elementary Circular Ring (r) & Outer Diameter of Shaft (d_o) and hit the calculate button.

FAQs on Shear Stress at Elementary Ring of Hollow Circular Shaft

What is the formula to find Shear Stress at Elementary Ring of Hollow Circular Shaft?

The formula of Shear Stress at Elementary Ring of Hollow Circular Shaft is expressed as Shear Stress at Elementary Ring = (2*Maximum Shear Stress*Radius of Elementary Circular Ring)/Outer Diameter of Shaft. Here is an example- 3.2E-5 = (2*111408500*0.002)/0.014.

How to calculate Shear Stress at Elementary Ring of Hollow Circular Shaft?

With Maximum Shear Stress (𝜏_s), Radius of Elementary Circular Ring (r) & Outer Diameter of Shaft (d_o) we can find Shear Stress at Elementary Ring of Hollow Circular Shaft using the formula - Shear Stress at Elementary Ring = (2*Maximum Shear Stress*Radius of Elementary Circular Ring)/Outer Diameter of Shaft.

Can the Shear Stress at Elementary Ring of Hollow Circular Shaft be negative?

No, the Shear Stress at Elementary Ring of Hollow Circular Shaft, measured in Pressure cannot be negative.

Which unit is used to measure Shear Stress at Elementary Ring of Hollow Circular Shaft?

Shear Stress at Elementary Ring of Hollow Circular Shaft is usually measured using the Megapascal[MPa] for Pressure. Pascal[MPa], Kilopascal[MPa], Bar[MPa] are the few other units in which Shear Stress at Elementary Ring of Hollow Circular Shaft can be measured.

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Shear Stress at Elementary Ring of Hollow Circular Shaft Formula

Shear Stress at Elementary Ring of Hollow Circular Shaft Example

Shear Stress at Elementary Ring of Hollow Circular Shaft Solution

Shear Stress at Elementary Ring of Hollow Circular Shaft Formula Elements

Other formulas in Torque Transmitted by a Hollow Circular Shaft category

How to Evaluate Shear Stress at Elementary Ring of Hollow Circular Shaft?

FAQs on Shear Stress at Elementary Ring of Hollow Circular Shaft

Variable Name