Shear Stress given Slope of Channel Calculator

✖The Specific Weight of Liquid refers to the weight per unit volume of that substance.ⓘ Specific Weight of Liquid [γ_f]			+10% -10%
✖The Slope of Bed refers to the inclination or gradient of a surface, particularly in the context of various fields.ⓘ Slope of Bed [s]			+10% -10%
✖The Diameter of Section refers to the length of the segment that passes through the center of the circle and touches two points on the edge of the circle.ⓘ Diameter of Section [d_section]			+10% -10%
✖The Horizontal Distance refers to the instantaneous horizontal distance cover by an object in a projectile motion.ⓘ Horizontal Distance [R]			+10% -10%

✖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.ⓘ Shear Stress given Slope of Channel [𝜏]

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Shear Stress given Slope of Channel Solution

STEP 0: Pre-Calculation Summary

Formula Used

Shear Stress = Specific Weight of Liquid*Slope of Bed*(Diameter of Section-Horizontal Distance)
𝜏 = γ_f*s*(d_section-R)
This formula uses 5 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.
Slope of Bed - The Slope of Bed refers to the inclination or gradient of a surface, particularly in the context of various fields.
Diameter of Section - (Measured in Meter) - The Diameter of Section refers to the length of the segment that passes through the center of the circle and touches two points on the edge of the circle.
Horizontal Distance - (Measured in Meter) - The Horizontal Distance refers to the instantaneous horizontal distance cover by an object in a projectile motion.

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)
Slope of Bed: 0.01 --> No Conversion Required
Diameter of Section: 5 Meter --> 5 Meter No Conversion Required
Horizontal Distance: 1.01 Meter --> 1.01 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

𝜏 = γ_f*s*(d_section-R) --> 9810*0.01*(5-1.01)

Evaluating ... ...

𝜏 = 391.419

STEP 3: Convert Result to Output's Unit

391.419 Pascal --> No Conversion Required

FINAL ANSWER

391.419 Pascal <-- Shear Stress

(Calculation completed in 00.004 seconds)

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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< Laminar Flow of Fluid in an Open Channel Calculators

Slope of Channel given Mean Velocity of Flow

LaTeX Go Slope of Surface of Constant Pressure = (Dynamic Viscosity*Mean Velocity)/((Diameter of Section*Horizontal Distance-(Horizontal Distance^2)/2)*Specific Weight of Liquid)

Diameter of Section given Mean Velocity of Flow

LaTeX Go Diameter of Section = ((Horizontal Distance^2+(Dynamic Viscosity*Mean Velocity*Slope of Surface of Constant Pressure/Specific Weight of Liquid)))/Horizontal Distance

Dynamic Viscosity given Mean Velocity of Flow in Section

LaTeX Go Dynamic Viscosity = (Specific Weight of Liquid*Piezometric Gradient*(Diameter of Section*Horizontal Distance-Horizontal Distance^2))/Mean Velocity

Mean Velocity of Flow in Section

LaTeX Go Mean Velocity = (Specific Weight of Liquid*Piezometric Gradient*(Diameter of Section*Horizontal Distance-Horizontal Distance^2))/Dynamic Viscosity

Shear Stress given Slope of Channel Formula

LaTeX Go

Shear Stress = Specific Weight of Liquid*Slope of Bed*(Diameter of Section-Horizontal Distance)
𝜏 = γ_f*s*(d_section-R)

What is Shear Stress?

Shear stress, often denoted by τ, is the component of stress coplanar with a material cross section. It arises from the shear force, the component of force vector parallel to the material cross section.

How to Calculate Shear Stress given Slope of Channel?

Shear Stress given Slope of Channel calculator uses Shear Stress = Specific Weight of Liquid*Slope of Bed*(Diameter of Section-Horizontal Distance) to calculate the Shear Stress, The Shear Stress given Slope of Channel formula is defined as the amount of resistance developed by the surface on to the motion of the fluid. Shear Stress is denoted by 𝜏 symbol.

How to calculate Shear Stress given Slope of Channel using this online calculator? To use this online calculator for Shear Stress given Slope of Channel, enter Specific Weight of Liquid (γ_f), Slope of Bed (s), Diameter of Section (d_section) & Horizontal Distance (R) and hit the calculate button. Here is how the Shear Stress given Slope of Channel calculation can be explained with given input values -> 391.419 = 9810*0.01*(5-1.01).

FAQ

What is Shear Stress given Slope of Channel?

The Shear Stress given Slope of Channel formula is defined as the amount of resistance developed by the surface on to the motion of the fluid and is represented as 𝜏 = γ_f*s*(d_section-R) or Shear Stress = Specific Weight of Liquid*Slope of Bed*(Diameter of Section-Horizontal Distance). The Specific Weight of Liquid refers to the weight per unit volume of that substance, The Slope of Bed refers to the inclination or gradient of a surface, particularly in the context of various fields, The Diameter of Section refers to the length of the segment that passes through the center of the circle and touches two points on the edge of the circle & The Horizontal Distance refers to the instantaneous horizontal distance cover by an object in a projectile motion.

How to calculate Shear Stress given Slope of Channel?

The Shear Stress given Slope of Channel formula is defined as the amount of resistance developed by the surface on to the motion of the fluid is calculated using Shear Stress = Specific Weight of Liquid*Slope of Bed*(Diameter of Section-Horizontal Distance). To calculate Shear Stress given Slope of Channel, you need Specific Weight of Liquid (γ_f), Slope of Bed (s), Diameter of Section (d_section) & Horizontal Distance (R). With our tool, you need to enter the respective value for Specific Weight of Liquid, Slope of Bed, Diameter of Section & Horizontal Distance 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 Shear Stress?

In this formula, Shear Stress uses Specific Weight of Liquid, Slope of Bed, Diameter of Section & Horizontal Distance. We can use 1 other way(s) to calculate the same, which is/are as follows -

Shear Stress = Specific Weight of Liquid*Slope of Bed*Diameter of Section

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