Radius of Elementary Ring given Turning Moment of Elementary Ring Solution

STEP 0: Pre-Calculation Summary
Formula Used
Radius of elementary circular ring = ((Turning moment*Outer Diameter of Shaft)/(4*pi*Maximum Shear Stress*Thickness of ring))^(1/3)
r = ((T*douter)/(4*pi*๐œmax*bring))^(1/3)
This formula uses 1 Constants, 5 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
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.
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.
Outer Diameter of Shaft - (Measured in Meter) - Outer Diameter of Shaft is defined as the length of the longest chord of the surface of the hollow circular shaft.
Maximum Shear Stress - (Measured in Pascal) - Maximum Shear Stress that acts coplanar with cross-section of material, arises due to shear forces.
Thickness of ring - (Measured in Meter) - Thickness of ring is defined as the distance through an object, as distinct from width or height.
STEP 1: Convert Input(s) to Base Unit
Turning moment: 4 Newton Meter --> 4 Newton Meter No Conversion Required
Outer Diameter of Shaft: 4000 Millimeter --> 4 Meter (Check conversion here)
Maximum Shear Stress: 16 Megapascal --> 16000000 Pascal (Check conversion here)
Thickness of ring: 5 Millimeter --> 0.005 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
r = ((T*douter)/(4*pi*๐œmax*bring))^(1/3) --> ((4*4)/(4*pi*16000000*0.005))^(1/3)
Evaluating ... ...
r = 0.0251539799580218
STEP 3: Convert Result to Output's Unit
0.0251539799580218 Meter -->25.1539799580218 Millimeter (Check conversion here)
FINAL ANSWER
25.1539799580218 โ‰ˆ 25.15398 Millimeter <-- Radius of elementary circular ring
(Calculation completed in 00.020 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

Radius of Elementary Ring given Turning Moment of Elementary Ring Formula

Radius of elementary circular ring = ((Turning moment*Outer Diameter of Shaft)/(4*pi*Maximum Shear Stress*Thickness of ring))^(1/3)
r = ((T*douter)/(4*pi*๐œmax*bring))^(1/3)

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 Radius of Elementary Ring given Turning Moment of Elementary Ring?

Radius of Elementary Ring given Turning Moment of Elementary Ring calculator uses Radius of elementary circular ring = ((Turning moment*Outer Diameter of Shaft)/(4*pi*Maximum Shear Stress*Thickness of ring))^(1/3) to calculate the Radius of elementary circular ring, The Radius of elementary ring given turning moment 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. Radius of elementary circular ring is denoted by r symbol.

How to calculate Radius of Elementary Ring given Turning Moment of Elementary Ring using this online calculator? To use this online calculator for Radius of Elementary Ring given Turning Moment of Elementary Ring, enter Turning moment (T), Outer Diameter of Shaft (douter), Maximum Shear Stress (๐œmax) & Thickness of ring (bring) and hit the calculate button. Here is how the Radius of Elementary Ring given Turning Moment of Elementary Ring calculation can be explained with given input values -> 25153.98 = ((4*4)/(4*pi*16000000*0.005))^(1/3).

FAQ

What is Radius of Elementary Ring given Turning Moment of Elementary Ring?
The Radius of elementary ring given turning moment 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 r = ((T*douter)/(4*pi*๐œmax*bring))^(1/3) or Radius of elementary circular ring = ((Turning moment*Outer Diameter of Shaft)/(4*pi*Maximum Shear Stress*Thickness of ring))^(1/3). Turning moment where the turning force is called a torque and the effect it produces is called a moment, Outer Diameter of Shaft is defined as the length of the longest chord of the surface of the hollow circular shaft, Maximum Shear Stress that acts coplanar with cross-section of material, arises due to shear forces & Thickness of ring is defined as the distance through an object, as distinct from width or height.
How to calculate Radius of Elementary Ring given Turning Moment of Elementary Ring?
The Radius of elementary ring given turning moment 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 Radius of elementary circular ring = ((Turning moment*Outer Diameter of Shaft)/(4*pi*Maximum Shear Stress*Thickness of ring))^(1/3). To calculate Radius of Elementary Ring given Turning Moment of Elementary Ring, you need Turning moment (T), Outer Diameter of Shaft (douter), Maximum Shear Stress (๐œmax) & Thickness of ring (bring). With our tool, you need to enter the respective value for Turning moment, Outer Diameter of Shaft, Maximum Shear Stress & Thickness of 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 Radius of elementary circular ring?
In this formula, Radius of elementary circular ring uses Turning moment, Outer Diameter of Shaft, Maximum Shear Stress & Thickness of ring. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Radius of elementary circular ring = sqrt((Turning force*Outer Diameter of Shaft)/(4*pi*Maximum Shear Stress*Thickness of ring))
  • Radius of elementary circular ring = (Outer Diameter of Shaft*Shear stress at elementary ring)/(2*Maximum Shear Stress)
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