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
router = (𝜏max*r)/q
This formula uses 4 Variables
Variables Used
Outer Radius Of shaft - (Measured in Meter) - Outer Radius Of shaft of any figure is the radius of a larger circle of the two concentric circles that form its boundary.
Maximum Shear Stress - (Measured in Pascal) - Maximum Shear Stress that acts coplanar with cross-section of material, arises due to shear forces.
Radius of elementary circular ring - (Measured in Meter) - Radius of elementary circular ring is defined as any of the line segments from its center to its perimeter.
Shear stress at elementary ring - (Measured in Pascal) - Shear stress at elementary ring is defined as force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.
STEP 1: Convert Input(s) to Base Unit
Maximum Shear Stress: 16 Megapascal --> 16000000 Pascal (Check conversion ​here)
Radius of elementary circular ring: 2 Millimeter --> 0.002 Meter (Check conversion ​here)
Shear stress at elementary ring: 6 Megapascal --> 6000000 Pascal (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
router = (𝜏max*r)/q --> (16000000*0.002)/6000000
Evaluating ... ...
router = 0.00533333333333333
STEP 3: Convert Result to Output's Unit
0.00533333333333333 Meter -->5.33333333333333 Millimeter (Check conversion ​here)
FINAL ANSWER
5.33333333333333 5.333333 Millimeter <-- Outer Radius Of shaft
(Calculation completed in 00.004 seconds)

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Torque Transmitted by a Hollow Circular Shaft Calculators

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 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 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)))
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)

Outer Radius of Shaft given Shear Stress of Elementary Ring Formula

​LaTeX ​Go
Outer Radius Of shaft = (Maximum Shear Stress*Radius of elementary circular ring)/Shear stress at elementary ring
router = (𝜏max*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, The Outer radius of shaft given shear stress of elementary ring formula is defined as any of the line segments from its center to its perimeter, and in more modern usage, it is also their length. Outer Radius Of shaft is denoted by router 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 (𝜏max), 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 -> 5333.333 = (16000000*0.002)/6000000.

FAQ

What is Outer Radius of Shaft given Shear Stress of Elementary Ring?
The Outer radius of shaft given shear stress of elementary ring formula is defined as any of the line segments from its center to its perimeter, and in more modern usage, it is also their length and is represented as router = (𝜏max*r)/q or Outer Radius Of shaft = (Maximum Shear Stress*Radius of elementary circular ring)/Shear stress at elementary ring. Maximum Shear Stress that acts coplanar with cross-section of material, arises due to shear forces, Radius of elementary circular ring is defined as any of the line segments from its center to its perimeter & Shear stress at elementary ring is defined as force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.
How to calculate Outer Radius of Shaft given Shear Stress of Elementary Ring?
The Outer radius of shaft given shear stress of elementary ring formula is defined as any of the line segments from its center to its perimeter, and in more modern usage, it is also their length 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 (𝜏max), 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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