Bed Slope of Channel Solution

STEP 0: Pre-Calculation Summary
Formula Used
Bed Slope of Channel = (Silt Factor^(5/3))/(3340*Discharge for Regime Channel^(1/6))
S = (f^(5/3))/(3340*Q^(1/6))
This formula uses 3 Variables
Variables Used
Bed Slope of Channel - Bed slope of channel used to calculate the shear stress at the bed of an open channel containing fluid that is undergoing steady, uniform flow.
Silt Factor - Silt factor indicates the type of bed material from clay to heavy sand.
Discharge for Regime Channel - (Measured in Cubic Meter per Second) - Discharge for Regime Channel is a stream channel if it is transporting water and sediment in equilibrium such that there is neither scour of the channel bed.
STEP 1: Convert Input(s) to Base Unit
Silt Factor: 4.22 --> No Conversion Required
Discharge for Regime Channel: 35 Cubic Meter per Second --> 35 Cubic Meter per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
S = (f^(5/3))/(3340*Q^(1/6)) --> (4.22^(5/3))/(3340*35^(1/6))
Evaluating ... ...
S = 0.00182430008093383
STEP 3: Convert Result to Output's Unit
0.00182430008093383 --> No Conversion Required
FINAL ANSWER
0.00182430008093383 0.001824 <-- Bed Slope of Channel
(Calculation completed in 00.020 seconds)

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Coorg institute of technology (CIT), Kodagu
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5 Lacey's Theory Calculators

Velocity for Regime Channel using Lacey's Theory
Go Velocity of Flow in Meter = ((Discharge for Regime Channel*Silt Factor^2)/140)^0.166
Bed Slope of Channel
Go Bed Slope of Channel = (Silt Factor^(5/3))/(3340*Discharge for Regime Channel^(1/6))
Hydraulic Mean Depth for Regime Channel using Lacey's Theory
Go Hydraulic Mean Depth in Meters = (5/2)*((Velocity of Flow in Meter)^2/Silt Factor)
Area of Regime Channel Section
Go Area of Channel = (Discharge for Regime Channel/Velocity of Flow in Meter)
Wetted Perimeter of Channel
Go Perimeter of Channel = 4.75*sqrt(Discharge for Regime Channel)

Bed Slope of Channel Formula

Bed Slope of Channel = (Silt Factor^(5/3))/(3340*Discharge for Regime Channel^(1/6))
S = (f^(5/3))/(3340*Q^(1/6))

Why is a Bed Slope provided for an Open Channel?

The depth–slope product 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 restoration, sedimentology, and fluvial geomorphology.

How do you find the Slope of a Channel Bed?

The channel bed slope is the angle of the channel bed surface relative to the horizontal. It may or may not be parallel to the water's surface. This angle can be found by measuring the change in channel bed elevation between two points along the stream.

How to Calculate Bed Slope of Channel?

Bed Slope of Channel calculator uses Bed Slope of Channel = (Silt Factor^(5/3))/(3340*Discharge for Regime Channel^(1/6)) to calculate the Bed Slope of Channel, The Bed Slope of Channel formula is defined as calculating the shear stress at the bed of an open channel containing fluid that is undergoing steady, uniform flow. Bed Slope of Channel is denoted by S symbol.

How to calculate Bed Slope of Channel using this online calculator? To use this online calculator for Bed Slope of Channel, enter Silt Factor (f) & Discharge for Regime Channel (Q) and hit the calculate button. Here is how the Bed Slope of Channel calculation can be explained with given input values -> 0.001824 = (4.22^(5/3))/(3340*35^(1/6)).

FAQ

What is Bed Slope of Channel?
The Bed Slope of Channel formula is defined as calculating the shear stress at the bed of an open channel containing fluid that is undergoing steady, uniform flow and is represented as S = (f^(5/3))/(3340*Q^(1/6)) or Bed Slope of Channel = (Silt Factor^(5/3))/(3340*Discharge for Regime Channel^(1/6)). Silt factor indicates the type of bed material from clay to heavy sand & Discharge for Regime Channel is a stream channel if it is transporting water and sediment in equilibrium such that there is neither scour of the channel bed.
How to calculate Bed Slope of Channel?
The Bed Slope of Channel formula is defined as calculating the shear stress at the bed of an open channel containing fluid that is undergoing steady, uniform flow is calculated using Bed Slope of Channel = (Silt Factor^(5/3))/(3340*Discharge for Regime Channel^(1/6)). To calculate Bed Slope of Channel, you need Silt Factor (f) & Discharge for Regime Channel (Q). With our tool, you need to enter the respective value for Silt Factor & Discharge for Regime Channel 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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