Slope of Channel given Shear Stress Calculator

✖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 [𝜏]			+10% -10%
✖The Specific Weight of Liquid refers to the weight per unit volume of that substance.ⓘ Specific Weight of Liquid [γ_f]			+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 Slope of Bed refers to the inclination or gradient of a surface, particularly in the context of various fields.ⓘ Slope of Channel given Shear Stress [s]

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Slope of Channel given Shear Stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

Slope of Bed = Shear Stress/(Specific Weight of Liquid*(Diameter of Section-Horizontal Distance))
s = 𝜏/(γ_f*(d_section-R))
This formula uses 5 Variables

Variables Used

Slope of Bed - The Slope of Bed refers to the inclination or gradient of a surface, particularly in the context of various fields.
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.
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

Shear Stress: 490.5 Pascal --> 490.5 Pascal No Conversion Required
Specific Weight of Liquid: 9.81 Kilonewton per Cubic Meter --> 9810 Newton per Cubic Meter (Check conversion here)
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

s = 𝜏/(γ_f*(d_section-R)) --> 490.5/(9810*(5-1.01))

Evaluating ... ...

s = 0.012531328320802

STEP 3: Convert Result to Output's Unit

0.012531328320802 --> No Conversion Required

FINAL ANSWER

0.012531328320802 ≈ 0.012531 <-- Slope of Bed

(Calculation completed in 00.004 seconds)

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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

Slope of Channel given Shear Stress Formula

LaTeX Go

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

What is Bed Slope?

The Slope of bed is used to calculate the shear stress at the bed of an open channel containing fluid that is undergoing steady, uniform flow. It is widely used in river engineering, stream restoratioview the full answer.

How to Calculate Slope of Channel given Shear Stress?

Slope of Channel given Shear Stress calculator uses Slope of Bed = Shear Stress/(Specific Weight of Liquid*(Diameter of Section-Horizontal Distance)) to calculate the Slope of Bed, The Slope of Channel given Shear Stress formula is defined as the angle of elevation of channel with respect to horizontal line. Slope of Bed is denoted by s symbol.

How to calculate Slope of Channel given Shear Stress using this online calculator? To use this online calculator for Slope of Channel given Shear Stress, enter Shear Stress (𝜏), Specific Weight of Liquid (γ_f), Diameter of Section (d_section) & Horizontal Distance (R) and hit the calculate button. Here is how the Slope of Channel given Shear Stress calculation can be explained with given input values -> 12.53133 = 490.5/(9810*(5-1.01)).

FAQ

What is Slope of Channel given Shear Stress?

The Slope of Channel given Shear Stress formula is defined as the angle of elevation of channel with respect to horizontal line and is represented as s = 𝜏/(γ_f*(d_section-R)) or Slope of Bed = Shear Stress/(Specific Weight of Liquid*(Diameter of Section-Horizontal Distance)). 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, The Specific Weight of Liquid refers to the weight per unit volume of that substance, 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 Slope of Channel given Shear Stress?

The Slope of Channel given Shear Stress formula is defined as the angle of elevation of channel with respect to horizontal line is calculated using Slope of Bed = Shear Stress/(Specific Weight of Liquid*(Diameter of Section-Horizontal Distance)). To calculate Slope of Channel given Shear Stress, you need Shear Stress (𝜏), Specific Weight of Liquid (γ_f), Diameter of Section (d_section) & Horizontal Distance (R). With our tool, you need to enter the respective value for Shear Stress, Specific Weight of Liquid, 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 Slope of Bed?

In this formula, Slope of Bed uses Shear Stress, Specific Weight of Liquid, Diameter of Section & Horizontal Distance. We can use 2 other way(s) to calculate the same, which is/are as follows -

Slope of Bed = (3*Dynamic Viscosity*Kinematic Viscosity)/(Specific Weight of Liquid*Diameter of Section^3)
Slope of Bed = Shear Stress/(Diameter of Section*Specific Weight of Liquid)

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