Number of Beds given discharge for Dams on Soft Foundations Calculator

✖The Coefficient of Permeability of Soil describes how easily a liquid will move through the soil.ⓘ Coefficient of Permeability of Soil [k]			+10% -10%
✖Head of Water is defined as the height of water columns.ⓘ Head of Water [H_Water]			+10% -10%
✖Equipotential Lines is defined as the number of lines with same potential drop.ⓘ Equipotential Lines [N]			+10% -10%
✖Discharge from Dam is the volumetric flow rate of water that is transported through a given cross-sectional area. It includes any suspended solids, dissolved chemicals, or biologic material.ⓘ Discharge from Dam [Q_t]			+10% -10%

✖The Number of Beds is defined as the number of beds between each of the same potential drops.ⓘ Number of Beds given discharge for Dams on Soft Foundations [B]

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Formula

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Number of Beds given discharge for Dams on Soft Foundations

Formula

`"B" = "k"*"H"_{"Water"}*"N"/"Q"_{"t"}`

Example

`"2"="10cm/s"*"2.3m"*"4"/"0.46m³/s"`

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Number of Beds given discharge for Dams on Soft Foundations Solution

STEP 0: Pre-Calculation Summary

Formula Used

Number of Beds = Coefficient of Permeability of Soil*Head of Water*Equipotential Lines/Discharge from Dam
B = k*H_Water*N/Q_t
This formula uses 5 Variables

Variables Used

Number of Beds - The Number of Beds is defined as the number of beds between each of the same potential drops.
Coefficient of Permeability of Soil - (Measured in Meter per Second) - The Coefficient of Permeability of Soil describes how easily a liquid will move through the soil.
Head of Water - (Measured in Meter) - Head of Water is defined as the height of water columns.
Equipotential Lines - Equipotential Lines is defined as the number of lines with same potential drop.
Discharge from Dam - (Measured in Cubic Meter per Second) - Discharge from Dam is the volumetric flow rate of water that is transported through a given cross-sectional area. It includes any suspended solids, dissolved chemicals, or biologic material.

STEP 1: Convert Input(s) to Base Unit

Coefficient of Permeability of Soil: 10 Centimeter per Second --> 0.1 Meter per Second (Check conversion here)
Head of Water: 2.3 Meter --> 2.3 Meter No Conversion Required
Equipotential Lines: 4 --> No Conversion Required
Discharge from Dam: 0.46 Cubic Meter per Second --> 0.46 Cubic Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

B = k*H_Water*N/Q_t --> 0.1*2.3*4/0.46

Evaluating ... ...

B = 2

STEP 3: Convert Result to Output's Unit

2 --> No Conversion Required

FINAL ANSWER

2 <-- Number of Beds

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Hydraulics and Waterworks » Dams » Buttress Dams » Dams on Soft or Porous Foundations » Dams on Soft or Porous Foundations by Darcy’s law » Number of Beds given discharge for Dams on Soft Foundations

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National Institute of Technology Karnataka (NITK), Surathkal

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< 18 Dams on Soft or Porous Foundations by Darcy’s law Calculators

Void Ratio given Total Pressure per unit Area for Dams on Soft Foundations

Go Void Ratio = (Degree of Saturation-(Total Pressure at given Point/(Depth of Dam*Specific Weight of Water in KN per cubic meter)))/((Total Pressure at given Point/(Depth of Dam*Specific Weight of Water in KN per cubic meter))-1)

Total Pressure per unit Area for Dams on Soft Foundations

Go Total Pressure at given Point = Depth of Dam*Specific Weight of Water in KN per cubic meter*((Degree of Saturation+Void Ratio)/(1+Void Ratio))

Saturation for Total Pressure per unit Area for Dams on Soft Foundations

Go Degree of Saturation = (Total Pressure*(1+Void Ratio)/(Depth of Dam*Specific Weight of Water in KN per cubic meter))-Void Ratio

Length of Conduit given Neutral Stress per unit area for Dams on Soft Foundations

Go Minimum Safe Length of Travel path = Height of Dam/((Neutral Stress/(Depth of Dam*Specific Weight of Water in KN per cubic meter)-1))

Specific Gravity of Water given Neutral stress per unit area for Dams on Soft Foundations

Go Specific Weight of Water in KN per cubic meter = Neutral Stress/(Depth of Dam*(1+Height of Dam/Minimum Safe Length of Travel path))

Neutral Stress per unit area for Dams on Soft Foundations

Go Neutral Stress = Depth of Dam*Specific Weight of Water in KN per cubic meter*(1+Height of Dam/Minimum Safe Length of Travel path)

Permeability given Hydraulic gradient per unit head for Dams on Soft Foundations

Go Coefficient of Permeability of Soil = (Discharge from Dam*Number of Beds)/(Head of Water*Equipotential Lines)

Equipotential Lines given discharge for Dams on Soft Foundations

Go Head of Water = (Discharge from Dam*Number of Beds)/(Coefficient of Permeability of Soil*Equipotential Lines)

Discharge given Hydraulic Gradient per unit head for Dams on Soft Foundations

Go Discharge from Dam = Coefficient of Permeability of Soil*Head of Water*Equipotential Lines/Number of Beds

Number of Beds given discharge for Dams on Soft Foundations

Go Number of Beds = Coefficient of Permeability of Soil*Head of Water*Equipotential Lines/Discharge from Dam

Velocity given Length of Conduit after using Area of Pipe in Discharge

Go Maximum Velocity = Material Coefficient*Head under Flow/Length of Pipe

Length of Conduit after using Area of Pipe in Discharge

Go Length of Pipe = Material Coefficient*Head under Flow/Maximum Velocity

Minimum Safe Length of Travel path under Dams on Soft or Porous Foundations

Go Minimum Safe Length of Travel path = New Material Coefficient C2*Head under Flow

Equipotential Lines given Hydraulic Gradient per unit head for Dams on Soft Foundations

Go Equipotential Lines = Hydraulic Gradient to Head Loss*Number of Beds

Number of Beds given Hydraulic Gradient per unit head for Dams on Soft Foundations

Go Number of Beds = Equipotential Lines/Hydraulic Gradient to Head Loss

Hydraulic Gradient per unit head for Dams on Soft Foundations

Go Hydraulic Gradient to Head Loss = Equipotential Lines/Number of Beds

Maximum Velocity given New Material Coefficient C 2 for Dams on Soft Foundations

Go Maximum Velocity = Material Coefficient/New Material Coefficient C2

New Material Coefficient C2 for Dams on Soft or Porous Foundations

Go New Material Coefficient C2 = Material Coefficient/Maximum Velocity

Number of Beds given discharge for Dams on Soft Foundations Formula

Number of Beds = Coefficient of Permeability of Soil*Head of Water*Equipotential Lines/Discharge from Dam
B = k*H_Water*N/Q_t

What are Dams on Soft or Porous Foundations ?

Constructed as a simple homogenous embankment of well compacted earth, earth dams are classified as Homogenous Earth Dams, Zoned Earth Dams and Diaphragm Dams.This type of dam is usually built on an impervious foundation such as solid rock or clay. The next type of Earth dam is Diaphragm Dam.

How to Calculate Number of Beds given discharge for Dams on Soft Foundations?

Number of Beds given discharge for Dams on Soft Foundations calculator uses Number of Beds = Coefficient of Permeability of Soil*Head of Water*Equipotential Lines/Discharge from Dam to calculate the Number of Beds, Number of Beds given discharge for Dams on Soft Foundations formula is defined as no of channels under which there is same potential drop. Number of Beds is denoted by B symbol.

How to calculate Number of Beds given discharge for Dams on Soft Foundations using this online calculator? To use this online calculator for Number of Beds given discharge for Dams on Soft Foundations, enter Coefficient of Permeability of Soil (k), Head of Water (H_Water), Equipotential Lines (N) & Discharge from Dam (Q_t) and hit the calculate button. Here is how the Number of Beds given discharge for Dams on Soft Foundations calculation can be explained with given input values -> 1.391304 = 0.1*2.3*4/0.46.

FAQ

What is Number of Beds given discharge for Dams on Soft Foundations?

Number of Beds given discharge for Dams on Soft Foundations formula is defined as no of channels under which there is same potential drop and is represented as B = k*H_Water*N/Q_t or Number of Beds = Coefficient of Permeability of Soil*Head of Water*Equipotential Lines/Discharge from Dam. The Coefficient of Permeability of Soil describes how easily a liquid will move through the soil, Head of Water is defined as the height of water columns, Equipotential Lines is defined as the number of lines with same potential drop & Discharge from Dam is the volumetric flow rate of water that is transported through a given cross-sectional area. It includes any suspended solids, dissolved chemicals, or biologic material.

How to calculate Number of Beds given discharge for Dams on Soft Foundations?

Number of Beds given discharge for Dams on Soft Foundations formula is defined as no of channels under which there is same potential drop is calculated using Number of Beds = Coefficient of Permeability of Soil*Head of Water*Equipotential Lines/Discharge from Dam. To calculate Number of Beds given discharge for Dams on Soft Foundations, you need Coefficient of Permeability of Soil (k), Head of Water (H_Water), Equipotential Lines (N) & Discharge from Dam (Q_t). With our tool, you need to enter the respective value for Coefficient of Permeability of Soil, Head of Water, Equipotential Lines & Discharge from Dam 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 Number of Beds?

In this formula, Number of Beds uses Coefficient of Permeability of Soil, Head of Water, Equipotential Lines & Discharge from Dam. We can use 1 other way(s) to calculate the same, which is/are as follows -

Number of Beds = Equipotential Lines/Hydraulic Gradient to Head Loss

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