Maximum Shear Stress in fluid Solution

STEP 0: Pre-Calculation Summary
Formula Used
Maximum Shear Stress in Shaft = 0.5*Pressure Gradient*Width
τsmax = 0.5*dp|dr*w
This formula uses 3 Variables
Variables Used
Maximum Shear Stress in Shaft - (Measured in Newton per Square Millimeter) - Maximum Shear Stress in Shaft refers to the concentrated amount of force a shaft receives in a small area while in shear.
Pressure Gradient - (Measured in Newton per Cubic Meter) - Pressure Gradient is the change in pressure with respect to radial distance of element.
Width - (Measured in Meter) - Width is the measurement or extent of something from side to side.
STEP 1: Convert Input(s) to Base Unit
Pressure Gradient: 17 Newton per Cubic Meter --> 17 Newton per Cubic Meter No Conversion Required
Width: 3 Meter --> 3 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
τsmax = 0.5*dp|dr*w --> 0.5*17*3
Evaluating ... ...
τsmax = 25.5
STEP 3: Convert Result to Output's Unit
25500000 Pascal -->25.5 Newton per Square Millimeter (Check conversion here)
FINAL ANSWER
25.5 Newton per Square Millimeter <-- Maximum Shear Stress in Shaft
(Calculation completed in 00.004 seconds)

Credits

Created by Rithik Agrawal
National Institute of Technology Karnataka (NITK), Surathkal
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20 Laminar Flow between Parallel Plates, both plates at rest Calculators

Distance between Plates given Pressure Head Drop
Go Width = sqrt((12*Dynamic Viscosity*Length of Pipe*Mean Velocity)/(Specific Weight of Liquid*Head Loss due to Friction))
Length of Pipe given Pressure Head Drop
Go Length of Pipe = (Specific Weight of Liquid*Width*Width*Head Loss due to Friction)/(12*Dynamic Viscosity*Mean Velocity)
Velocity Distribution Profile
Go Velocity of Liquid = -(1/(2*Dynamic Viscosity))*Pressure Gradient*(Width*Horizontal Distance-(Horizontal Distance^2))
Distance between Plates using Velocity Distribution Profile
Go Width = (((-Velocity of Liquid*2*Dynamic Viscosity)/Pressure Gradient)+(Horizontal Distance^2))/Horizontal Distance
Length of Pipe given Pressure Difference
Go Length of Pipe = (Pressure Difference*Width*Width)/(Dynamic Viscosity*12*Mean Velocity)
Distance between Plates given Pressure Difference
Go Width = sqrt(12*Mean Velocity*Dynamic Viscosity*Length of Pipe/Pressure Difference)
Pressure Head Drop
Go Head Loss due to Friction = (12*Dynamic Viscosity*Length of Pipe*Mean Velocity)/(Specific Weight of Liquid)
Pressure Difference
Go Pressure Difference = 12*Dynamic Viscosity*Mean Velocity*Length of Pipe/(Width^2)
Distance between Plates given Maximum Velocity between Plates
Go Width = sqrt((8*Dynamic Viscosity*Maximum Velocity)/(Pressure Gradient))
Distance between Plates given Mean Velocity of Flow with Pressure Gradient
Go Width = sqrt((12*Dynamic Viscosity*Mean Velocity)/Pressure Gradient)
Distance between Plates given Discharge
Go Width = ((Discharge in Laminar Flow*12*Dynamic Viscosity)/Pressure Gradient)^(1/3)
Discharge given Viscosity
Go Discharge in Laminar Flow = Pressure Gradient*(Width^3)/(12*Dynamic Viscosity)
Maximum Velocity between Plates
Go Maximum Velocity = ((Width^2)*Pressure Gradient)/(8*Dynamic Viscosity)
Distance between Plates given Shear Stress Distribution Profile
Go Width = 2*(Horizontal Distance-(Shear Stress/Pressure Gradient))
Shear Stress Distribution Profile
Go Shear Stress = -Pressure Gradient*(Width/2-Horizontal Distance)
Horizontal Distance given Shear Stress Distribution Profile
Go Horizontal Distance = Width/2+(Shear Stress/Pressure Gradient)
Maximum Shear Stress in fluid
Go Maximum Shear Stress in Shaft = 0.5*Pressure Gradient*Width
Distance between Plates given Mean Velocity of Flow
Go Width = Discharge in Laminar Flow/Mean Velocity
Discharge given Mean Velocity of Flow
Go Discharge in Laminar Flow = Width*Mean Velocity
Maximum Velocity given Mean Velocity of Flow
Go Maximum Velocity = 1.5*Mean Velocity

Maximum Shear Stress in fluid Formula

Maximum Shear Stress in Shaft = 0.5*Pressure Gradient*Width
τsmax = 0.5*dp|dr*w

What is Pressure Gradient?

Pressure gradient is a physical quantity that describes in which direction and at what rate the pressure increases the most rapidly around a particular location. The pressure gradient is a dimensional quantity expressed in units of pascals per metre.

How to Calculate Maximum Shear Stress in fluid?

Maximum Shear Stress in fluid calculator uses Maximum Shear Stress in Shaft = 0.5*Pressure Gradient*Width to calculate the Maximum Shear Stress in Shaft, The Maximum Shear Stress in fluid is defined as the stress at the center line of pipe in the flow at the stream section in laminar flow. Maximum Shear Stress in Shaft is denoted by τsmax symbol.

How to calculate Maximum Shear Stress in fluid using this online calculator? To use this online calculator for Maximum Shear Stress in fluid, enter Pressure Gradient (dp|dr) & Width (w) and hit the calculate button. Here is how the Maximum Shear Stress in fluid calculation can be explained with given input values -> 2.6E-11 = 0.5*17*3.

FAQ

What is Maximum Shear Stress in fluid?
The Maximum Shear Stress in fluid is defined as the stress at the center line of pipe in the flow at the stream section in laminar flow and is represented as τsmax = 0.5*dp|dr*w or Maximum Shear Stress in Shaft = 0.5*Pressure Gradient*Width. Pressure Gradient is the change in pressure with respect to radial distance of element & Width is the measurement or extent of something from side to side.
How to calculate Maximum Shear Stress in fluid?
The Maximum Shear Stress in fluid is defined as the stress at the center line of pipe in the flow at the stream section in laminar flow is calculated using Maximum Shear Stress in Shaft = 0.5*Pressure Gradient*Width. To calculate Maximum Shear Stress in fluid, you need Pressure Gradient (dp|dr) & Width (w). With our tool, you need to enter the respective value for Pressure Gradient & Width 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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