Shear Stresses Solution

STEP 0: Pre-Calculation Summary
Formula Used
Shear Stress = Specific Weight of Liquid*Piezometric Gradient*Radial Distance/2
𝜏 = γf*dh/dx*dradial/2
This formula uses 4 Variables
Variables Used
Shear Stress - (Measured in Pascal) - The Shear Stress refers to the 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) - The Specific Weight of Liquid refers to the weight per unit volume of that substance.
Piezometric Gradient - The Piezometric Gradient refers to the measure of the change in hydraulic head (or piezometric head) per unit distance in a given direction within a fluid system.
Radial Distance - (Measured in Meter) - The Radial Distance refers to the distance from a central point, such as the center of a well or pipe, to a point within the fluid system.
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*dh/dx*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 00.004 seconds)

Credits

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Created by Rithik Agrawal
National Institute of Technology Karnataka (NITK), Surathkal
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Verified by Chandana P Dev
NSS College of Engineering (NSSCE), Palakkad
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Laminar Flow Through Inclined Pipes Calculators

Radius of Elemental Section of Pipe given Shear Stress
​ LaTeX ​ Go Radial Distance = (2*Shear Stress)/(Specific Weight of Liquid*Piezometric Gradient)
Specific Weight of Fluid given Shear Stress
​ LaTeX ​ Go Specific Weight of Liquid = (2*Shear Stress)/(Radial Distance*Piezometric Gradient)
Piezometric Gradient given Shear Stress
​ LaTeX ​ Go Piezometric Gradient = (2*Shear Stress)/(Specific Weight of Liquid*Radial Distance)
Shear Stresses
​ LaTeX ​ Go Shear Stress = Specific Weight of Liquid*Piezometric Gradient*Radial Distance/2

Shear Stresses Formula

​LaTeX ​Go
Shear Stress = Specific Weight of Liquid*Piezometric Gradient*Radial Distance/2
𝜏 = γf*dh/dx*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 (dh/dx) & 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*dh/dx*dradial/2 or Shear Stress = Specific Weight of Liquid*Piezometric Gradient*Radial Distance/2. The Specific Weight of Liquid refers to the weight per unit volume of that substance, The Piezometric Gradient refers to the measure of the change in hydraulic head (or piezometric head) per unit distance in a given direction within a fluid system & The Radial Distance refers to the distance from a central point, such as the center of a well or pipe, to a point within the fluid system.
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 (dh/dx) & 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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