Shear Stresses Solution

STEP 0: Pre-Calculation Summary
Formula Used
Shear Stress = Specific Weight of Liquid*Piezometric Gradient*Radial Distance/2
𝜏 = γf*dhbydx*dradial/2
This formula uses 4 Variables
Variables Used
Shear Stress - (Measured in Pascal) - Shear Stress is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.
Specific Weight of Liquid - (Measured in Newton per Cubic Meter) - Specific Weight of Liquid represents the force exerted by gravity on a unit volume of a fluid.
Piezometric Gradient - Piezometric Gradient is defined as variation of piezometric head with respect to distance in along the pipe length.
Radial Distance - (Measured in Meter) - Radial distance is defined as distance between whisker sensor's pivot point to whisker-object contact point.
STEP 1: Convert Input(s) to Base Unit
Specific Weight of Liquid: 9.81 Kilonewton per Cubic Meter --> 9810 Newton per Cubic Meter (Check conversion here)
Piezometric Gradient: 10 --> No Conversion Required
Radial Distance: 9.2 Meter --> 9.2 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
𝜏 = γf*dhbydx*dradial/2 --> 9810*10*9.2/2
Evaluating ... ...
𝜏 = 451260
STEP 3: Convert Result to Output's Unit
451260 Pascal --> No Conversion Required
FINAL ANSWER
451260 Pascal <-- Shear Stress
(Calculation completed in 00.020 seconds)

Credits

Created by Rithik Agrawal
National Institute of Technology Karnataka (NITK), Surathkal
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15 Laminar Flow Through Inclined Pipes Calculators

Radius of Elemental Section of Pipe given Flow Velocity of Stream
Go Radial Distance = sqrt((Inclined Pipes Radius^2)+Velocity of Liquid/((Specific Weight of Liquid/(4*Dynamic Viscosity))*Piezometric Gradient))
Radius of Pipe for Flow Velocity of Stream
Go Inclined Pipes Radius = sqrt((Radial Distance^2)-((Velocity of Liquid*4*Dynamic Viscosity)/(Specific Weight of Liquid*Piezometric Gradient)))
Specific Weight of Liquid given Flow Velocity of Stream
Go Specific Weight of Liquid = Velocity of Liquid/((1/(4*Dynamic Viscosity))*Piezometric Gradient*(Inclined Pipes Radius^2-Radial Distance^2))
Piezometric Gradient given Flow Velocity of Stream
Go Piezometric Gradient = Velocity of Liquid/(((Specific Weight of Liquid)/(4*Dynamic Viscosity))*(Inclined Pipes Radius^2-Radial Distance^2))
Dynamic Viscosity given Flow Velocity of Stream
Go Dynamic Viscosity = (Specific Weight of Liquid/((4*Velocity of Liquid))*Piezometric Gradient*(Inclined Pipes Radius^2-Radial Distance^2))
Flow Velocity of Stream
Go Velocity of Liquid = (Specific Weight of Liquid/(4*Dynamic Viscosity))*Piezometric Gradient*(Inclined Pipes Radius^2-Radial Distance^2)
Piezometric Gradient given Velocity Gradient with Shear Stress
Go Piezometric Gradient = Velocity Gradient/((Specific Weight of Liquid/Dynamic Viscosity)*(0.5*Radial Distance))
Radius of Elemental Section of Pipe given Velocity Gradient with Shear Stress
Go Radial Distance = (2*Velocity Gradient*Dynamic Viscosity)/(Piezometric Gradient*Specific Weight of Liquid)
Specific Weight of Liquid given Velocity Gradient with Shear Stress
Go Specific Weight of Liquid = (2*Velocity Gradient*Dynamic Viscosity)/(Piezometric Gradient*Radial Distance)
Velocity Gradient given Piezometric Gradient with Shear Stress
Go Velocity Gradient = (Specific Weight of Liquid/Dynamic Viscosity)*Piezometric Gradient*0.5*Radial Distance
Dynamic Viscosity given Velocity Gradient with Shear Stress
Go Dynamic Viscosity = (Specific Weight of Liquid/Velocity Gradient)*Piezometric Gradient*0.5*Radial Distance
Radius of Elemental Section of Pipe given Shear Stress
Go Radial Distance = (2*Shear Stress)/(Specific Weight of Liquid*Piezometric Gradient)
Specific Weight of Fluid given Shear Stress
Go Specific Weight of Liquid = (2*Shear Stress)/(Radial Distance*Piezometric Gradient)
Piezometric Gradient given Shear Stress
Go Piezometric Gradient = (2*Shear Stress)/(Specific Weight of Liquid*Radial Distance)
Shear Stresses
Go Shear Stress = Specific Weight of Liquid*Piezometric Gradient*Radial Distance/2

Shear Stresses Formula

Shear Stress = Specific Weight of Liquid*Piezometric Gradient*Radial Distance/2
𝜏 = γf*dhbydx*dradial/2

What is Shear Stress?

Shear stress (tau) is defined as a stress that is applied parallel or tangential to a face of a material, as opposed to a normal stress which is applied perpendicularly.

How to Calculate Shear Stresses?

Shear Stresses calculator uses Shear Stress = Specific Weight of Liquid*Piezometric Gradient*Radial Distance/2 to calculate the Shear Stress, The Shear Stresses is defined as stress or resistance developed with respect respect to boundary condition due to liquid flowing through it. Shear Stress is denoted by 𝜏 symbol.

How to calculate Shear Stresses using this online calculator? To use this online calculator for Shear Stresses, enter Specific Weight of Liquid f), Piezometric Gradient (dhbydx) & Radial Distance (dradial) and hit the calculate button. Here is how the Shear Stresses calculation can be explained with given input values -> 451260 = 9810*10*9.2/2.

FAQ

What is Shear Stresses?
The Shear Stresses is defined as stress or resistance developed with respect respect to boundary condition due to liquid flowing through it and is represented as 𝜏 = γf*dhbydx*dradial/2 or Shear Stress = Specific Weight of Liquid*Piezometric Gradient*Radial Distance/2. Specific Weight of Liquid represents the force exerted by gravity on a unit volume of a fluid, Piezometric Gradient is defined as variation of piezometric head with respect to distance in along the pipe length & Radial distance is defined as distance between whisker sensor's pivot point to whisker-object contact point.
How to calculate Shear Stresses?
The Shear Stresses is defined as stress or resistance developed with respect respect to boundary condition due to liquid flowing through it is calculated using Shear Stress = Specific Weight of Liquid*Piezometric Gradient*Radial Distance/2. To calculate Shear Stresses, you need Specific Weight of Liquid f), Piezometric Gradient (dhbydx) & Radial Distance (dradial). With our tool, you need to enter the respective value for Specific Weight of Liquid, Piezometric Gradient & Radial Distance 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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