Mitra's Hyperbolic Transition when Water Depth remains Constant Calculator

✖Bed width of normal channel section.ⓘ Bed Width of Normal Channel Section [B_n]			+10% -10%
✖Bed width of flumed channel section.ⓘ Bed Width of Flumed Channel Section [B_f]			+10% -10%
✖Length of transition is the distance required in transitioning the road from normal to full super elevation.ⓘ Length of Transition [L_f]			+10% -10%
✖Bed width of distance x. the physical confine of the normal water flow.ⓘ Bed Width of Distance X [x]			+10% -10%

✖Bed width at any distance x from flumed section.ⓘ Mitra's Hyperbolic Transition when Water Depth remains Constant [B_x]

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Mitra's Hyperbolic Transition when Water Depth remains Constant

Formula

`"B"_{"x"} = ("B"_{"n"}*"B"_{"f"}*"L"_{"f"})/(("L"_{"f"}*"B"_{"n"})-(("B"_{"n"}-"B"_{"f"})*"x"))`

Example

`"11.36364"=("25m"*"10m"*"15m")/(("15m"*"25m")-(("25m"-"10m")*"3m"))`

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Mitra's Hyperbolic Transition when Water Depth remains Constant Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
B_x = (B_n*B_f*L_f)/((L_f*B_n)-((B_n-B_f)*x))
This formula uses 5 Variables

Variables Used

Bed Width at Any Distance X from Flumed Section - Bed width at any distance x from flumed section.
Bed Width of Normal Channel Section - (Measured in Meter) - Bed width of normal channel section.
Bed Width of Flumed Channel Section - (Measured in Meter) - Bed width of flumed channel section.
Length of Transition - (Measured in Meter) - Length of transition is the distance required in transitioning the road from normal to full super elevation.
Bed Width of Distance X - (Measured in Meter) - Bed width of distance x. the physical confine of the normal water flow.

STEP 1: Convert Input(s) to Base Unit

Bed Width of Normal Channel Section: 25 Meter --> 25 Meter No Conversion Required
Bed Width of Flumed Channel Section: 10 Meter --> 10 Meter No Conversion Required
Length of Transition: 15 Meter --> 15 Meter No Conversion Required
Bed Width of Distance X: 3 Meter --> 3 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

B_x = (B_n*B_f*L_f)/((L_f*B_n)-((B_n-B_f)*x)) --> (25*10*15)/((15*25)-((25-10)*3))

Evaluating ... ...

B_x = 11.3636363636364

STEP 3: Convert Result to Output's Unit

11.3636363636364 --> No Conversion Required

FINAL ANSWER

11.3636363636364 ≈ 11.36364 <-- Bed Width at Any Distance X from Flumed Section

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Irrigation Engineering » Canal Head Works and Method of Irrigation » Cross Drainage Work » Methods Used for Designing the Channel Transitions » Mitra's Hyperbolic Transition when Water Depth remains Constant

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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))

Mitra's Hyperbolic Transition when Water Depth remains Constant Formula

Which Cross Drainage Work is constructed?

A cross-drainage work is a structure constructed for carrying a canal across a natural drain or river intercepting the canal to dispose of drainage water without mixing with the continuous canal supplies.

Why Cross Drainage Works are important?

The cross–drainage work is required to dispose of the drainage water so that the canal supply remains uninterrupted. The canal at the cross–drainage work is generally taken either over or below the drainage. However, it can also be at the same level as the drainage.

How to Calculate Mitra's Hyperbolic Transition when Water Depth remains Constant?

Mitra's Hyperbolic Transition when Water Depth remains Constant calculator uses 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)) to calculate the Bed Width at Any Distance X from Flumed Section, The Mitra's Hyperbolic Transition when Water Depth remains Constant formula is defined as bed width from the flumed section. Bed Width at Any Distance X from Flumed Section is denoted by B_x symbol.

How to calculate Mitra's Hyperbolic Transition when Water Depth remains Constant using this online calculator? To use this online calculator for Mitra's Hyperbolic Transition when Water Depth remains Constant, enter Bed Width of Normal Channel Section (B_n), Bed Width of Flumed Channel Section (B_f), Length of Transition (L_f) & Bed Width of Distance X (x) and hit the calculate button. Here is how the Mitra's Hyperbolic Transition when Water Depth remains Constant calculation can be explained with given input values -> 11.36364 = (25*10*15)/((15*25)-((25-10)*3)).

FAQ

What is Mitra's Hyperbolic Transition when Water Depth remains Constant?

The Mitra's Hyperbolic Transition when Water Depth remains Constant formula is defined as bed width from the flumed section and is represented as B_x = (B_n*B_f*L_f)/((L_f*B_n)-((B_n-B_f)*x)) or 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)). Bed width of normal channel section, Bed width of flumed channel section, Length of transition is the distance required in transitioning the road from normal to full super elevation & Bed width of distance x. the physical confine of the normal water flow.

How to calculate Mitra's Hyperbolic Transition when Water Depth remains Constant?

The Mitra's Hyperbolic Transition when Water Depth remains Constant formula is defined as bed width from the flumed section is calculated using 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)). To calculate Mitra's Hyperbolic Transition when Water Depth remains Constant, you need Bed Width of Normal Channel Section (B_n), Bed Width of Flumed Channel Section (B_f), Length of Transition (L_f) & Bed Width of Distance X (x). With our tool, you need to enter the respective value for Bed Width of Normal Channel Section, Bed Width of Flumed Channel Section, Length of Transition & Bed Width of Distance X 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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