Bed Slope of Channel given Slope of Dynamic Equation of GVF through Chezy formula Solution

STEP 0: Pre-Calculation Summary
Formula Used
Bed Slope of Channel = Slope of Line/(((1-((Normal Depth/Depth of Flow)^(3)))/(1-(((Critical Depth of Weir/Depth of Flow)^(3))))))
S0 = m/(((1-((y/df)^(3)))/(1-(((hc/df)^(3))))))
This formula uses 5 Variables
Variables Used
Bed Slope of Channel - Bed Slope of Channel is used to calculate the shear stress at the bed of an open channel containing fluid that is undergoing steady, uniform flow.
Slope of Line - The Slope of Line is a number that measures its "steepness", usually denoted by the letter m. It is the change in y for a unit change in x along the line.
Normal Depth - (Measured in Meter) - Normal Depth is a depth of flow in a channel or culvert when the slope of the water surface and channel bottom is the same and the water depth remains constant.
Depth of Flow - (Measured in Meter) - Depth of Flow is the distance from the top or surface of the flow to the bottom of a channel or other waterway or Depth of Flow at the Vertical while measuring Sound Weights.
Critical Depth of Weir - (Measured in Meter) - The Critical Depth of Weir is defined as the depth of flow where energy is at a minimum for a particular discharge.
STEP 1: Convert Input(s) to Base Unit
Slope of Line: 4 --> No Conversion Required
Normal Depth: 1.5 Meter --> 1.5 Meter No Conversion Required
Depth of Flow: 3.3 Meter --> 3.3 Meter No Conversion Required
Critical Depth of Weir: 1.001 Meter --> 1.001 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
S0 = m/(((1-((y/df)^(3)))/(1-(((hc/df)^(3)))))) --> 4/(((1-((1.5/3.3)^(3)))/(1-(((1.001/3.3)^(3))))))
Evaluating ... ...
S0 = 4.29138222455623
STEP 3: Convert Result to Output's Unit
4.29138222455623 --> No Conversion Required
FINAL ANSWER
4.29138222455623 4.291382 <-- Bed Slope of Channel
(Calculation completed in 00.020 seconds)

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8 Wide Rectangular Channel Calculators

Critical Depth of Channel given Slope of Dynamic Equation of Gradually Varied Flow
Go Critical Depth of Channel GVF Flow = ((1-(((1-((Normal Depth/Depth of Flow)^(10/3)))/(Slope of Line/Bed Slope of Channel)))^(1/3)))*Depth of Flow
Chezy Formula for Critical Depth of Channel given Slope of Dynamic Equation of GVF
Go Critical Depth of Channel GVF Flow = ((1-(((1-((Normal Depth/Depth of Flow)^(3)))/(Slope of Line/Bed Slope of Channel)))^(1/3)))*Depth of Flow
Normal Depth of Channel given Slope of Dynamic Equation of Gradually Varied Flow
Go Normal Depth = ((1-((Slope of Line/Bed Slope of Channel)*((1-(((Critical Depth of Weir/Depth of Flow)^(3)))))))^(3/10))*Depth of Flow
Chezy Formula for Normal Depth of Channel given Slope of Dynamic Equation of GVF
Go Normal Depth = ((1-((Slope of Line/Bed Slope of Channel)*((1-(((Critical Depth of Weir/Depth of Flow)^(3)))))))^(1/3))*Depth of Flow
Bed Slope of Channel given Slope of Dynamic Equation of Gradually Varied Flow
Go Bed Slope of Channel = Slope of Line/(((1-((Normal Depth/Depth of Flow)^(10/3)))/(1-((Critical Depth of Weir/Depth of Flow)^(3)))))
Bed Slope of Channel given Slope of Dynamic Equation of GVF through Chezy formula
Go Bed Slope of Channel = Slope of Line/(((1-((Normal Depth/Depth of Flow)^(3)))/(1-(((Critical Depth of Weir/Depth of Flow)^(3))))))
Slope of Dynamic Equations of Gradually Varied Flow
Go Slope of Line = Bed Slope of Channel*((1-((Normal Depth/Depth of Flow)^(10/3)))/(1-((Critical Depth of Weir/Depth of Flow)^(3))))
Chezy Formula for Slope of Dynamic Equation of Gradually Varied Flow
Go Slope of Line = Bed Slope of Channel*((1-((Normal Depth/Depth of Flow)^(3)))/(1-(((Critical Depth of Weir/Depth of Flow)^(3)))))

Bed Slope of Channel given Slope of Dynamic Equation of GVF through Chezy formula Formula

Bed Slope of Channel = Slope of Line/(((1-((Normal Depth/Depth of Flow)^(3)))/(1-(((Critical Depth of Weir/Depth of Flow)^(3))))))
S0 = m/(((1-((y/df)^(3)))/(1-(((hc/df)^(3))))))

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..

How to Calculate Bed Slope of Channel given Slope of Dynamic Equation of GVF through Chezy formula?

Bed Slope of Channel given Slope of Dynamic Equation of GVF through Chezy formula calculator uses Bed Slope of Channel = Slope of Line/(((1-((Normal Depth/Depth of Flow)^(3)))/(1-(((Critical Depth of Weir/Depth of Flow)^(3)))))) to calculate the Bed Slope of Channel, The Bed Slope of Channel given Slope of Dynamic Equation of GVF through Chezy formula formula is defined as channel slope. Bed Slope of Channel is denoted by S0 symbol.

How to calculate Bed Slope of Channel given Slope of Dynamic Equation of GVF through Chezy formula using this online calculator? To use this online calculator for Bed Slope of Channel given Slope of Dynamic Equation of GVF through Chezy formula, enter Slope of Line (m), Normal Depth (y), Depth of Flow (df) & Critical Depth of Weir (hc) and hit the calculate button. Here is how the Bed Slope of Channel given Slope of Dynamic Equation of GVF through Chezy formula calculation can be explained with given input values -> -0.144495 = 4/(((1-((1.5/3.3)^(3)))/(1-(((1.001/3.3)^(3)))))).

FAQ

What is Bed Slope of Channel given Slope of Dynamic Equation of GVF through Chezy formula?
The Bed Slope of Channel given Slope of Dynamic Equation of GVF through Chezy formula formula is defined as channel slope and is represented as S0 = m/(((1-((y/df)^(3)))/(1-(((hc/df)^(3)))))) or Bed Slope of Channel = Slope of Line/(((1-((Normal Depth/Depth of Flow)^(3)))/(1-(((Critical Depth of Weir/Depth of Flow)^(3)))))). The Slope of Line is a number that measures its "steepness", usually denoted by the letter m. It is the change in y for a unit change in x along the line, Normal Depth is a depth of flow in a channel or culvert when the slope of the water surface and channel bottom is the same and the water depth remains constant, Depth of Flow is the distance from the top or surface of the flow to the bottom of a channel or other waterway or Depth of Flow at the Vertical while measuring Sound Weights & The Critical Depth of Weir is defined as the depth of flow where energy is at a minimum for a particular discharge.
How to calculate Bed Slope of Channel given Slope of Dynamic Equation of GVF through Chezy formula?
The Bed Slope of Channel given Slope of Dynamic Equation of GVF through Chezy formula formula is defined as channel slope is calculated using Bed Slope of Channel = Slope of Line/(((1-((Normal Depth/Depth of Flow)^(3)))/(1-(((Critical Depth of Weir/Depth of Flow)^(3)))))). To calculate Bed Slope of Channel given Slope of Dynamic Equation of GVF through Chezy formula, you need Slope of Line (m), Normal Depth (y), Depth of Flow (df) & Critical Depth of Weir (hc). With our tool, you need to enter the respective value for Slope of Line, Normal Depth, Depth of Flow & Critical Depth of Weir 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 Bed Slope of Channel?
In this formula, Bed Slope of Channel uses Slope of Line, Normal Depth, Depth of Flow & Critical Depth of Weir. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Bed Slope of Channel = Slope of Line/(((1-((Normal Depth/Depth of Flow)^(10/3)))/(1-((Critical Depth of Weir/Depth of Flow)^(3)))))
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