Shear Stress at Elementary Ring of Hollow Circular Shaft Calculator

✖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.ⓘ Maximum Shear Stress [𝜏_s]			+10% -10%
✖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.ⓘ Radius of Elementary Circular Ring [r]			+10% -10%
✖The Outer Diameter of Shaft is the measurement across the widest part of a hollow circular shaft, influencing its strength and torque transmission capabilities.ⓘ Outer Diameter of Shaft [d_o]			+10% -10%

✖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.ⓘ Shear Stress at Elementary Ring of Hollow Circular Shaft [q]

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Shear Stress at Elementary Ring of Hollow Circular Shaft Solution

STEP 0: Pre-Calculation Summary

Formula Used

Shear Stress at Elementary Ring = (2*Maximum Shear Stress*Radius of Elementary Circular Ring)/Outer Diameter of Shaft
q = (2*𝜏_s*r)/d_o
This formula uses 4 Variables

Variables Used

Shear Stress at Elementary Ring - (Measured in Pascal) - 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.
Maximum Shear Stress - (Measured in Pascal) - 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.
Radius of Elementary Circular Ring - (Measured in Meter) - 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.
Outer Diameter of Shaft - (Measured in Meter) - The Outer Diameter of Shaft is the measurement across the widest part of a hollow circular shaft, influencing its strength and torque transmission capabilities.

STEP 1: Convert Input(s) to Base Unit

Maximum Shear Stress: 111.4085 Megapascal --> 111408500 Pascal (Check conversion here)
Radius of Elementary Circular Ring: 2 Millimeter --> 0.002 Meter (Check conversion here)
Outer Diameter of Shaft: 14 Millimeter --> 0.014 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

q = (2*𝜏_s*r)/d_o --> (2*111408500*0.002)/0.014

Evaluating ... ...

q = 31831000

STEP 3: Convert Result to Output's Unit

31831000 Pascal -->31.831 Megapascal (Check conversion here)

FINAL ANSWER

31.831 Megapascal <-- Shear Stress at Elementary Ring

(Calculation completed in 00.020 seconds)

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National Institute Of Technology (NIT), Hamirpur

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< Torque Transmitted by a Hollow Circular Shaft Calculators

Total Turning Moment on Hollow Circular Shaft given Radius of Shaft

LaTeX Go Turning Moment = (pi*Maximum Shear Stress on Shaft*((Outer Radius Of Hollow circular Cylinder^4)-(Inner Radius Of Hollow Circular Cylinder^4)))/(2*Outer Radius Of Hollow circular Cylinder)

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

LaTeX Go Maximum Shear Stress on Shaft = (Turning Moment*2*Outer Radius Of Hollow circular Cylinder)/(pi*(Outer Radius Of Hollow circular Cylinder^4-Inner Radius Of Hollow Circular Cylinder^4))

Total Turning Moment on Hollow Circular Shaft given Diameter of Shaft

LaTeX Go Turning Moment = (pi*Maximum Shear Stress on Shaft*((Outer Diameter of Shaft^4)-(Inner Diameter of Shaft^4)))/(16*Outer Diameter of Shaft)

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

LaTeX Go Maximum Shear Stress on Shaft = (16*Outer Diameter of Shaft*Turning Moment)/(pi*(Outer Diameter of Shaft^4-Inner Diameter of Shaft^4))

Shear Stress at Elementary Ring of Hollow Circular Shaft Formula

LaTeX Go

Shear Stress at Elementary Ring = (2*Maximum Shear Stress*Radius of Elementary Circular Ring)/Outer Diameter of Shaft
q = (2*𝜏_s*r)/d_o

What does the Turning Effect of a Force depend on?

The turning effect of a force, also known as torque, depends on two main factors: the magnitude of the force and the perpendicular distance from the point where the force is applied to the pivot or axis of rotation. A greater force or a longer distance increases the turning effect, making it easier to rotate an object. This principle is used in levers, gears, and tools to amplify force, improving efficiency in mechanical systems.

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

Shear Stress at Elementary Ring of Hollow Circular Shaft calculator uses Shear Stress at Elementary Ring = (2*Maximum Shear Stress*Radius of Elementary Circular Ring)/Outer Diameter of Shaft to calculate 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 calculate Shear Stress at Elementary Ring of Hollow Circular Shaft using this online calculator? To use this online calculator 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. Here is how the Shear Stress at Elementary Ring of Hollow Circular Shaft calculation can be explained with given input values -> 3.2E-5 = (2*111408500*0.002)/0.014.

FAQ

What is Shear Stress at Elementary Ring of Hollow Circular Shaft?

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 and is represented as q = (2*𝜏_s*r)/d_o or Shear Stress at Elementary Ring = (2*Maximum Shear Stress*Radius of Elementary Circular Ring)/Outer Diameter of Shaft. 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, 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 & The Outer Diameter of Shaft is the measurement across the widest part of a hollow circular shaft, influencing its strength and torque transmission capabilities.

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

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 is calculated using Shear Stress at Elementary Ring = (2*Maximum Shear Stress*Radius of Elementary Circular Ring)/Outer Diameter of Shaft. To calculate Shear Stress at Elementary Ring of Hollow Circular Shaft, you need Maximum Shear Stress (𝜏_s), Radius of Elementary Circular Ring (r) & Outer Diameter of Shaft (d_o). With our tool, you need to enter the respective value for Maximum Shear Stress, Radius of Elementary Circular Ring & Outer Diameter of Shaft and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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