Outer Radius of Shaft given Shear Stress of Elementary Ring 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 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 [q]			+10% -10%

✖The Outer Radius of Shaft is the distance from the center to the outer edge of a hollow circular shaft, influencing its torque transmission capacity.ⓘ Outer Radius of Shaft given Shear Stress of Elementary Ring [r_o]

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Outer Radius of Shaft given Shear Stress of Elementary Ring Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Outer Radius of Shaft - (Measured in Meter) - The Outer Radius of Shaft is the distance from the center to the outer edge of a hollow circular shaft, influencing its torque transmission capacity.
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.
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.

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)
Shear Stress at Elementary Ring: 31.831 Megapascal --> 31831000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_o = (𝜏_s*r)/q --> (111408500*0.002)/31831000

Evaluating ... ...

r_o = 0.007

STEP 3: Convert Result to Output's Unit

0.007 Meter -->7 Millimeter (Check conversion here)

FINAL ANSWER

7 Millimeter <-- Outer Radius of Shaft

(Calculation completed in 00.004 seconds)

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Home » Physics » Strength of Materials » Torsion of Shafts And Springs » Mechanical » Torque Transmitted by a Hollow Circular Shaft » Outer Radius of Shaft given Shear Stress of Elementary Ring

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< Torque Transmitted by a Hollow Circular Shaft Calculators

Total Turning Moment on Hollow Circular Shaft given Radius of Shaft

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

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

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

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

Outer Radius of Shaft given Shear Stress of Elementary Ring Formula

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

What does the turning effect of a force depend on?

The effect that a force has in turning an object round depends on the size of the force, the perpendicular (shortest) distance between the force line, and the pivot (the axis of rotation).

How to Calculate Outer Radius of Shaft given Shear Stress of Elementary Ring?

Outer Radius of Shaft given Shear Stress of Elementary Ring calculator uses Outer Radius of Shaft = (Maximum Shear Stress*Radius of Elementary Circular Ring)/Shear Stress at Elementary Ring to calculate the Outer Radius of Shaft, Outer Radius of Shaft given Shear Stress of Elementary Ring formula is defined as a method to determine the outer radius of a hollow circular shaft based on the shear stress experienced by an elementary ring. This helps in analyzing the torque transmission capabilities of the shaft. Outer Radius of Shaft is denoted by r_o symbol.

How to calculate Outer Radius of Shaft given Shear Stress of Elementary Ring using this online calculator? To use this online calculator for Outer Radius of Shaft given Shear Stress of Elementary Ring, enter Maximum Shear Stress (𝜏_s), Radius of Elementary Circular Ring (r) & Shear Stress at Elementary Ring (q) and hit the calculate button. Here is how the Outer Radius of Shaft given Shear Stress of Elementary Ring calculation can be explained with given input values -> 7000 = (111408500*0.002)/31831000.

FAQ

What is Outer Radius of Shaft given Shear Stress of Elementary Ring?

Outer Radius of Shaft given Shear Stress of Elementary Ring formula is defined as a method to determine the outer radius of a hollow circular shaft based on the shear stress experienced by an elementary ring. This helps in analyzing the torque transmission capabilities of the shaft and is represented as r_o = (𝜏_s*r)/q or Outer Radius of Shaft = (Maximum Shear Stress*Radius of Elementary Circular Ring)/Shear Stress at Elementary Ring. 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 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.

How to calculate Outer Radius of Shaft given Shear Stress of Elementary Ring?

Outer Radius of Shaft given Shear Stress of Elementary Ring formula is defined as a method to determine the outer radius of a hollow circular shaft based on the shear stress experienced by an elementary ring. This helps in analyzing the torque transmission capabilities of the shaft is calculated using Outer Radius of Shaft = (Maximum Shear Stress*Radius of Elementary Circular Ring)/Shear Stress at Elementary Ring. To calculate Outer Radius of Shaft given Shear Stress of Elementary Ring, you need Maximum Shear Stress (𝜏_s), Radius of Elementary Circular Ring (r) & Shear Stress at Elementary Ring (q). With our tool, you need to enter the respective value for Maximum Shear Stress, Radius of Elementary Circular Ring & Shear Stress at Elementary Ring and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Outer Radius of Shaft?

In this formula, Outer Radius of Shaft uses Maximum Shear Stress, Radius of Elementary Circular Ring & Shear Stress at Elementary Ring. We can use 2 other way(s) to calculate the same, which is/are as follows -

Outer Radius of Shaft = (2*pi*Maximum Shear Stress*(Radius of Elementary Circular Ring^2)*Thickness of Ring)/Turning Moment
Outer Radius of Shaft = (2*pi*Maximum Shear Stress*(Radius of Elementary Circular Ring^2)*Thickness of Ring)/Turning Force

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