Shear Stress at Elementary Ring of Hollow Circular Shaft Calculator

✖Maximum Shear Stress that acts coplanar with cross-section of material, arises due to shear forces.ⓘ Maximum Shear Stress [𝜏_max]			+10% -10%
✖Radius of elementary circular ring is defined as any of the line segments from its center to its perimeter.ⓘ Radius of elementary circular ring [r]			+10% -10%
✖Outer Diameter of Shaft is defined as the length of the longest chord of the surface of the hollow circular shaft.ⓘ Outer Diameter of Shaft [d_outer]			+10% -10%

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

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Formula

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Shear Stress at Elementary Ring of Hollow Circular Shaft

Formula

`"q" = (2*"𝜏"_{"max"}*"r")/"d"_{"outer"}`

Example

`"0.016MPa"=(2*"16MPa"*"2mm")/"4000mm"`

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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_max*r)/d_outer
This formula uses 4 Variables

Variables Used

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.
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.
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.

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)
Outer Diameter of Shaft: 4000 Millimeter --> 4 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

q = (2*𝜏_max*r)/d_outer --> (2*16000000*0.002)/4

Evaluating ... ...

q = 16000

STEP 3: Convert Result to Output's Unit

16000 Pascal -->0.016 Megapascal (Check conversion here)

FINAL ANSWER

0.016 Megapascal <-- Shear stress at elementary ring

(Calculation completed in 00.020 seconds)

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

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Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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Birsa Institute of Technology (BIT), Sindri

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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

Shear Stress at Elementary Ring of Hollow Circular Shaft Formula

Shear stress at elementary ring = (2*Maximum Shear Stress*Radius of elementary circular ring)/Outer Diameter of Shaft
q = (2*𝜏_max*r)/d_outer

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 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, The Shear stress at elementary ring of hollow circular shaft formula is defined as a force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress. 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_max), Radius of elementary circular ring (r) & Outer Diameter of Shaft (d_outer) 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 -> 1.6E-8 = (2*16000000*0.002)/4.

FAQ

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

The Shear stress at elementary ring of hollow circular shaft formula is defined as a force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress and is represented as q = (2*𝜏_max*r)/d_outer or Shear stress at elementary ring = (2*Maximum Shear Stress*Radius of elementary circular ring)/Outer Diameter of Shaft. 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 & Outer Diameter of Shaft is defined as the length of the longest chord of the surface of the hollow circular shaft.

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

The Shear stress at elementary ring of hollow circular shaft formula is defined as a force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress 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_max), Radius of elementary circular ring (r) & Outer Diameter of Shaft (d_outer). 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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