Outer Radius of Shaft using Turning Force on Elementary Ring given Turning Moment Solution

STEP 0: Pre-Calculation Summary
Formula Used
Outer Radius Of shaft = (2*pi*Maximum Shear Stress*(Radius of elementary circular ring^2)*Thickness of ring)/Turning moment
router = (2*pi*๐œmax*(r^2)*bring)/T
This formula uses 1 Constants, 5 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
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.
Thickness of ring - (Measured in Meter) - Thickness of ring is defined as the distance through an object, as distinct from width or height.
Turning moment - (Measured in Newton Meter) - Turning moment where the turning force is called a torque and the effect it produces is called a moment.
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)
Thickness of ring: 5 Millimeter --> 0.005 Meter (Check conversion here)
Turning moment: 4 Newton Meter --> 4 Newton Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
router = (2*pi*๐œmax*(r^2)*bring)/T --> (2*pi*16000000*(0.002^2)*0.005)/4
Evaluating ... ...
router = 0.502654824574367
STEP 3: Convert Result to Output's Unit
0.502654824574367 Meter -->502.654824574367 Millimeter (Check conversion here)
FINAL ANSWER
502.654824574367 โ‰ˆ 502.6548 Millimeter <-- Outer Radius Of shaft
(Calculation completed in 00.004 seconds)

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16 Torque Transmitted by a Hollow Circular Shaft Calculators

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 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)
Radius of Elementary Ring given Turning Force of Elementary Ring
Go Radius of elementary circular ring = sqrt((Turning force*Outer Diameter of Shaft)/(4*pi*Maximum Shear Stress*Thickness of ring))
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)))
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)
Radius of Elementary Ring given Turning Moment of Elementary Ring
Go Radius of elementary circular ring = ((Turning moment*Outer Diameter of Shaft)/(4*pi*Maximum Shear Stress*Thickness of ring))^(1/3)
Maximum Shear Stress Induced at Outer Surface given Turning Moment on Elementary Ring
Go Maximum Shear Stress = (Turning moment*Outer Diameter of Shaft)/(4*pi*(Radius of elementary circular ring^3)*Thickness of ring)
Maximum Shear Stress at Outer Surface given Turning Force on Elementary Ring
Go Maximum Shear Stress = (Turning force*Outer Diameter of Shaft)/(4*pi*(Radius of elementary circular ring^2)*Thickness of ring)
Turning Moment on Elementary Ring
Go Turning moment = (4*pi*Maximum Shear Stress*(Radius of elementary circular ring^3)*Thickness of ring)/Outer Diameter of Shaft
Turning Force on Elementary Ring
Go Turning force = (4*pi*Maximum Shear Stress*(Radius of elementary circular ring^2)*Thickness of ring)/Outer Diameter of Shaft
Outer Radius of Shaft using Turning Force on Elementary Ring given Turning Moment
Go Outer Radius Of shaft = (2*pi*Maximum Shear Stress*(Radius of elementary circular ring^2)*Thickness of ring)/Turning moment
Outer Radius of Shaft using Turning Force on Elementary Ring
Go Outer Radius Of shaft = (2*pi*Maximum Shear Stress*(Radius of elementary circular ring^2)*Thickness of ring)/Turning force
Maximum shear stress induced at outer surface given shear stress of elementary ring
Go Maximum Shear Stress = (Outer Diameter of Shaft*Shear stress at elementary ring)/(2*Radius of elementary circular ring)
Radius of Elementary Ring given Shear Stress of Elementary Ring
Go Radius of elementary circular ring = (Outer Diameter of Shaft*Shear stress at elementary ring)/(2*Maximum Shear Stress)
Shear Stress at Elementary Ring of Hollow Circular Shaft
Go Shear stress at elementary ring = (2*Maximum Shear Stress*Radius of elementary circular ring)/Outer Diameter of Shaft
Outer Radius of Shaft given Shear Stress of Elementary Ring
Go Outer Radius Of shaft = (Maximum Shear Stress*Radius of elementary circular ring)/Shear stress at elementary ring

Outer Radius of Shaft using Turning Force on Elementary Ring given Turning Moment Formula

Outer Radius Of shaft = (2*pi*Maximum Shear Stress*(Radius of elementary circular ring^2)*Thickness of ring)/Turning moment
router = (2*pi*๐œmax*(r^2)*bring)/T

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 using Turning Force on Elementary Ring given Turning Moment?

Outer Radius of Shaft using Turning Force on Elementary Ring given Turning Moment calculator uses Outer Radius Of shaft = (2*pi*Maximum Shear Stress*(Radius of elementary circular ring^2)*Thickness of ring)/Turning moment to calculate the Outer Radius Of shaft, The Outer Radius of Shaft using Turning Force on Elementary Ring given Turning Moment 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 using Turning Force on Elementary Ring given Turning Moment using this online calculator? To use this online calculator for Outer Radius of Shaft using Turning Force on Elementary Ring given Turning Moment, enter Maximum Shear Stress (๐œmax), Radius of elementary circular ring (r), Thickness of ring (bring) & Turning moment (T) and hit the calculate button. Here is how the Outer Radius of Shaft using Turning Force on Elementary Ring given Turning Moment calculation can be explained with given input values -> 502654.8 = (2*pi*16000000*(0.002^2)*0.005)/4.

FAQ

What is Outer Radius of Shaft using Turning Force on Elementary Ring given Turning Moment?
The Outer Radius of Shaft using Turning Force on Elementary Ring given Turning Moment 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 = (2*pi*๐œmax*(r^2)*bring)/T or Outer Radius Of shaft = (2*pi*Maximum Shear Stress*(Radius of elementary circular ring^2)*Thickness of ring)/Turning moment. 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, Thickness of ring is defined as the distance through an object, as distinct from width or height & Turning moment where the turning force is called a torque and the effect it produces is called a moment.
How to calculate Outer Radius of Shaft using Turning Force on Elementary Ring given Turning Moment?
The Outer Radius of Shaft using Turning Force on Elementary Ring given Turning Moment 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 = (2*pi*Maximum Shear Stress*(Radius of elementary circular ring^2)*Thickness of ring)/Turning moment. To calculate Outer Radius of Shaft using Turning Force on Elementary Ring given Turning Moment, you need Maximum Shear Stress (๐œmax), Radius of elementary circular ring (r), Thickness of ring (bring) & Turning moment (T). With our tool, you need to enter the respective value for Maximum Shear Stress, Radius of elementary circular ring, Thickness of ring & Turning moment 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, Thickness of ring & Turning moment. 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 force
  • Outer Radius Of shaft = (Maximum Shear Stress*Radius of elementary circular ring)/Shear stress at elementary ring
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