Chaturvedi's Semi Cubical Parabolic Transition when Water Depth remains Contant Solution

STEP 0: Pre-Calculation Summary
Formula Used
Bed Width of Distance X = (Length of Transition*Nominal Bed Width of the Normal Channel Section^(3/2))/(Nominal Bed Width of the Normal Channel Section^(3/2)-Bed Width of Flumed Channel Section^(3/2))*(1-(Bed Width of Flumed Channel Section/Bed Width at Any Distance X from Flumed Section)^(3/2))
x = (Lf*Bc^(3/2))/(Bc^(3/2)-Bf^(3/2))*(1-(Bf/Bx)^(3/2))
This formula uses 5 Variables
Variables Used
Bed Width of Distance X - (Measured in Meter) - Bed width of distance x. the physical confine of the normal water flow.
Length of Transition - (Measured in Meter) - Length of transition is the distance required in transitioning the road from normal to full super elevation.
Nominal Bed Width of the Normal Channel Section - (Measured in Meter) - Nominal bed width of the normal channel section.
Bed Width of Flumed Channel Section - (Measured in Meter) - Bed width of flumed channel section.
Bed Width at Any Distance X from Flumed Section - Bed width at any distance x from flumed section.
STEP 1: Convert Input(s) to Base Unit
Length of Transition: 15 Meter --> 15 Meter No Conversion Required
Nominal Bed Width of the Normal Channel Section: 35 Meter --> 35 Meter No Conversion Required
Bed Width of Flumed Channel Section: 10 Meter --> 10 Meter No Conversion Required
Bed Width at Any Distance X from Flumed Section: 11.36 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
x = (Lf*Bc^(3/2))/(Bc^(3/2)-Bf^(3/2))*(1-(Bf/Bx)^(3/2)) --> (15*35^(3/2))/(35^(3/2)-10^(3/2))*(1-(10/11.36)^(3/2))
Evaluating ... ...
x = 3.08204903700009
STEP 3: Convert Result to Output's Unit
3.08204903700009 Meter --> No Conversion Required
FINAL ANSWER
3.08204903700009 3.082049 Meter <-- Bed Width of Distance X
(Calculation completed in 00.004 seconds)

Credits

Created by bhuvaneshwari
Coorg institute of technology (CIT), Kodagu
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Gautam Buddha University (GBU), Greater Noida
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2 Methods Used for Designing the Channel Transitions Calculators

Mitra's Hyperbolic Transition when Water Depth remains Constant
Go Bed Width at Any Distance X from Flumed Section = (Bed Width of Normal Channel Section*Bed Width of Flumed Channel Section*Length of Transition)/((Length of Transition*Bed Width of Normal Channel Section)-((Bed Width of Normal Channel Section-Bed Width of Flumed Channel Section)*Bed Width of Distance X))
Chaturvedi's Semi Cubical Parabolic Transition when Water Depth remains Contant
Go Bed Width of Distance X = (Length of Transition*Nominal Bed Width of the Normal Channel Section^(3/2))/(Nominal Bed Width of the Normal Channel Section^(3/2)-Bed Width of Flumed Channel Section^(3/2))*(1-(Bed Width of Flumed Channel Section/Bed Width at Any Distance X from Flumed Section)^(3/2))

Chaturvedi's Semi Cubical Parabolic Transition when Water Depth remains Contant Formula

Bed Width of Distance X = (Length of Transition*Nominal Bed Width of the Normal Channel Section^(3/2))/(Nominal Bed Width of the Normal Channel Section^(3/2)-Bed Width of Flumed Channel Section^(3/2))*(1-(Bed Width of Flumed Channel Section/Bed Width at Any Distance X from Flumed Section)^(3/2))
x = (Lf*Bc^(3/2))/(Bc^(3/2)-Bf^(3/2))*(1-(Bf/Bx)^(3/2))

What is the formula of Transition Curve?

l s = V 2 R for Hilly terrain and l s = 2.7 V 2 R for Plain and Rolling terrain. ∴ The length of a transition curve depends on the rate of change of centrifugal acceleration and rate of change of super elevation.

What is the formula of Cubic Parabola Curve?

The cubic parabola function is y=kx3 (1) The “main” elements in railway transition curve are: The radius of curvature at the end of transition, the length L of the curve, the length l of its projection on x axis and the coefficient k.

How to Calculate Chaturvedi's Semi Cubical Parabolic Transition when Water Depth remains Contant?

Chaturvedi's Semi Cubical Parabolic Transition when Water Depth remains Contant calculator uses Bed Width of Distance X = (Length of Transition*Nominal Bed Width of the Normal Channel Section^(3/2))/(Nominal Bed Width of the Normal Channel Section^(3/2)-Bed Width of Flumed Channel Section^(3/2))*(1-(Bed Width of Flumed Channel Section/Bed Width at Any Distance X from Flumed Section)^(3/2)) to calculate the Bed Width of Distance X, The Chaturvedi's Semi Cubical Parabolic Transition when Water Depth remains Contant formula is defined as bed width distance considering length of transition and bed width of channel section. Bed Width of Distance X is denoted by x symbol.

How to calculate Chaturvedi's Semi Cubical Parabolic Transition when Water Depth remains Contant using this online calculator? To use this online calculator for Chaturvedi's Semi Cubical Parabolic Transition when Water Depth remains Contant, enter Length of Transition (Lf), Nominal Bed Width of the Normal Channel Section (Bc), Bed Width of Flumed Channel Section (Bf) & Bed Width at Any Distance X from Flumed Section (Bx) and hit the calculate button. Here is how the Chaturvedi's Semi Cubical Parabolic Transition when Water Depth remains Contant calculation can be explained with given input values -> 3.082049 = (15*35^(3/2))/(35^(3/2)-10^(3/2))*(1-(10/11.36)^(3/2)).

FAQ

What is Chaturvedi's Semi Cubical Parabolic Transition when Water Depth remains Contant?
The Chaturvedi's Semi Cubical Parabolic Transition when Water Depth remains Contant formula is defined as bed width distance considering length of transition and bed width of channel section and is represented as x = (Lf*Bc^(3/2))/(Bc^(3/2)-Bf^(3/2))*(1-(Bf/Bx)^(3/2)) or Bed Width of Distance X = (Length of Transition*Nominal Bed Width of the Normal Channel Section^(3/2))/(Nominal Bed Width of the Normal Channel Section^(3/2)-Bed Width of Flumed Channel Section^(3/2))*(1-(Bed Width of Flumed Channel Section/Bed Width at Any Distance X from Flumed Section)^(3/2)). Length of transition is the distance required in transitioning the road from normal to full super elevation, Nominal bed width of the normal channel section, Bed width of flumed channel section & Bed width at any distance x from flumed section.
How to calculate Chaturvedi's Semi Cubical Parabolic Transition when Water Depth remains Contant?
The Chaturvedi's Semi Cubical Parabolic Transition when Water Depth remains Contant formula is defined as bed width distance considering length of transition and bed width of channel section is calculated using Bed Width of Distance X = (Length of Transition*Nominal Bed Width of the Normal Channel Section^(3/2))/(Nominal Bed Width of the Normal Channel Section^(3/2)-Bed Width of Flumed Channel Section^(3/2))*(1-(Bed Width of Flumed Channel Section/Bed Width at Any Distance X from Flumed Section)^(3/2)). To calculate Chaturvedi's Semi Cubical Parabolic Transition when Water Depth remains Contant, you need Length of Transition (Lf), Nominal Bed Width of the Normal Channel Section (Bc), Bed Width of Flumed Channel Section (Bf) & Bed Width at Any Distance X from Flumed Section (Bx). With our tool, you need to enter the respective value for Length of Transition, Nominal Bed Width of the Normal Channel Section, Bed Width of Flumed Channel Section & Bed Width at Any Distance X from Flumed Section 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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