Maximum shear stress induced at outer surface given shear stress of elementary ring Solution

STEP 0: Pre-Calculation Summary
Formula Used
Maximum Shear Stress = (Outer Diameter of Shaft*Shear stress at elementary ring)/(2*Radius of elementary circular ring)
๐œmax = (douter*q)/(2*r)
This formula uses 4 Variables
Variables Used
Maximum Shear Stress - (Measured in Pascal) - Maximum Shear Stress that acts coplanar with cross-section of material, arises due to shear forces.
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.
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.
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.
STEP 1: Convert Input(s) to Base Unit
Outer Diameter of Shaft: 4000 Millimeter --> 4 Meter (Check conversion here)
Shear stress at elementary ring: 6 Megapascal --> 6000000 Pascal (Check conversion here)
Radius of elementary circular ring: 2 Millimeter --> 0.002 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
๐œmax = (douter*q)/(2*r) --> (4*6000000)/(2*0.002)
Evaluating ... ...
๐œmax = 6000000000
STEP 3: Convert Result to Output's Unit
6000000000 Pascal -->6000 Megapascal (Check conversion here)
FINAL ANSWER
6000 Megapascal <-- Maximum Shear Stress
(Calculation completed in 00.004 seconds)

Credits

Created by Anshika Arya
National Institute Of Technology (NIT), Hamirpur
Anshika Arya has created this Calculator and 2000+ more calculators!
Verified by Payal Priya
Birsa Institute of Technology (BIT), Sindri
Payal Priya has verified this Calculator and 1900+ more calculators!

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

Maximum shear stress induced at outer surface given shear stress of elementary ring Formula

Maximum Shear Stress = (Outer Diameter of Shaft*Shear stress at elementary ring)/(2*Radius of elementary circular ring)
๐œmax = (douter*q)/(2*r)

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 Maximum shear stress induced at outer surface given shear stress of elementary ring?

Maximum shear stress induced at outer surface given shear stress of elementary ring calculator uses Maximum Shear Stress = (Outer Diameter of Shaft*Shear stress at elementary ring)/(2*Radius of elementary circular ring) to calculate the Maximum Shear Stress, The Maximum shear stress induced at outer surface given shear stress of elementary ring 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. Maximum Shear Stress is denoted by ๐œmax symbol.

How to calculate Maximum shear stress induced at outer surface given shear stress of elementary ring using this online calculator? To use this online calculator for Maximum shear stress induced at outer surface given shear stress of elementary ring, enter Outer Diameter of Shaft (douter), Shear stress at elementary ring (q) & Radius of elementary circular ring (r) and hit the calculate button. Here is how the Maximum shear stress induced at outer surface given shear stress of elementary ring calculation can be explained with given input values -> 0.006 = (4*6000000)/(2*0.002).

FAQ

What is Maximum shear stress induced at outer surface given shear stress of elementary ring?
The Maximum shear stress induced at outer surface given shear stress of elementary ring 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 ๐œmax = (douter*q)/(2*r) or Maximum Shear Stress = (Outer Diameter of Shaft*Shear stress at elementary ring)/(2*Radius of elementary circular ring). Outer Diameter of Shaft is defined as the length of the longest chord of the surface of the hollow circular shaft, 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 & Radius of elementary circular ring is defined as any of the line segments from its center to its perimeter.
How to calculate Maximum shear stress induced at outer surface given shear stress of elementary ring?
The Maximum shear stress induced at outer surface given shear stress of elementary ring 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 Maximum Shear Stress = (Outer Diameter of Shaft*Shear stress at elementary ring)/(2*Radius of elementary circular ring). To calculate Maximum shear stress induced at outer surface given shear stress of elementary ring, you need Outer Diameter of Shaft (douter), Shear stress at elementary ring (q) & Radius of elementary circular ring (r). With our tool, you need to enter the respective value for Outer Diameter of Shaft, Shear stress at elementary ring & Radius of elementary circular 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 Maximum Shear Stress?
In this formula, Maximum Shear Stress uses Outer Diameter of Shaft, Shear stress at elementary ring & Radius of elementary circular ring. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Maximum Shear Stress = (Turning moment*Outer Diameter of Shaft)/(4*pi*(Radius of elementary circular ring^3)*Thickness of ring)
  • Maximum Shear Stress = (Turning force*Outer Diameter of Shaft)/(4*pi*(Radius of elementary circular ring^2)*Thickness of ring)
Let Others Know
โœ–
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!