Total Pressure per unit Area for Dams on Soft Foundations Calculator

✖Depth of Dam is the distance from the top or surface to the bottom of something.ⓘ Depth of Dam [D]			+10% -10%
✖Specific Weight of Water in KN per cubic meter is the weight per unit volume of water.ⓘ Specific Weight of Water in KN per cubic meter [W]			+10% -10%
✖Degree of Saturation is the ratio of the volume of water to the volume of voids.ⓘ Degree of Saturation [S]			+10% -10%
✖Void Ratio is the ratio of the volume of voids to the volume of solids.ⓘ Void Ratio [e]			+10% -10%

✖Total Pressure at given Point in a flow is the pressure that would exist if the flow were slowed down isotropically to zero velocity.ⓘ Total Pressure per unit Area for Dams on Soft Foundations [P₀]

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Formula

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Total Pressure per unit Area for Dams on Soft Foundations

Formula

`"P"_{"0"} = "D"*"W"*(("S"+"e")/(1+"e"))`

Example

`"109.6936Pa"="3m"*"9.81kN/m³"*(("7"+"1.2")/(1+"1.2"))`

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Total Pressure per unit Area for Dams on Soft Foundations Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
P₀ = D*W*((S+e)/(1+e))
This formula uses 5 Variables

Variables Used

Total Pressure at given Point - (Measured in Pascal) - Total Pressure at given Point in a flow is the pressure that would exist if the flow were slowed down isotropically to zero velocity.
Depth of Dam - (Measured in Meter) - Depth of Dam is the distance from the top or surface to the bottom of something.
Specific Weight of Water in KN per cubic meter - (Measured in Kilonewton per Cubic Meter) - Specific Weight of Water in KN per cubic meter is the weight per unit volume of water.
Degree of Saturation - Degree of Saturation is the ratio of the volume of water to the volume of voids.
Void Ratio - Void Ratio is the ratio of the volume of voids to the volume of solids.

STEP 1: Convert Input(s) to Base Unit

Depth of Dam: 3 Meter --> 3 Meter No Conversion Required
Specific Weight of Water in KN per cubic meter: 9.81 Kilonewton per Cubic Meter --> 9.81 Kilonewton per Cubic Meter No Conversion Required
Degree of Saturation: 7 --> No Conversion Required
Void Ratio: 1.2 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P₀ = D*W*((S+e)/(1+e)) --> 3*9.81*((7+1.2)/(1+1.2))

Evaluating ... ...

P₀ = 109.693636363636

STEP 3: Convert Result to Output's Unit

109.693636363636 Pascal --> No Conversion Required

FINAL ANSWER

109.693636363636 ≈ 109.6936 Pascal <-- Total Pressure at given Point

(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 » Total Pressure per unit Area 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

Total Pressure per unit Area for Dams on Soft Foundations Formula

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))
P₀ = D*W*((S+e)/(1+e))

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 Total Pressure per unit Area for Dams on Soft Foundations?

Total Pressure per unit Area for Dams on Soft Foundations calculator uses 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)) to calculate the Total Pressure at given Point, The Total Pressure per unit Area for Dams on Soft Foundations formula is defined as pressure generated by the water under the dams. Total Pressure at given Point is denoted by P₀ symbol.

How to calculate Total Pressure per unit Area for Dams on Soft Foundations using this online calculator? To use this online calculator for Total Pressure per unit Area for Dams on Soft Foundations, enter Depth of Dam (D), Specific Weight of Water in KN per cubic meter (W), Degree of Saturation (S) & Void Ratio (e) and hit the calculate button. Here is how the Total Pressure per unit Area for Dams on Soft Foundations calculation can be explained with given input values -> 109.6936 = 3*9810*((7+1.2)/(1+1.2)).

FAQ

What is Total Pressure per unit Area for Dams on Soft Foundations?

The Total Pressure per unit Area for Dams on Soft Foundations formula is defined as pressure generated by the water under the dams and is represented as P₀ = D*W*((S+e)/(1+e)) or 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)). Depth of Dam is the distance from the top or surface to the bottom of something, Specific Weight of Water in KN per cubic meter is the weight per unit volume of water, Degree of Saturation is the ratio of the volume of water to the volume of voids & Void Ratio is the ratio of the volume of voids to the volume of solids.

How to calculate Total Pressure per unit Area for Dams on Soft Foundations?

The Total Pressure per unit Area for Dams on Soft Foundations formula is defined as pressure generated by the water under the dams is calculated using 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)). To calculate Total Pressure per unit Area for Dams on Soft Foundations, you need Depth of Dam (D), Specific Weight of Water in KN per cubic meter (W), Degree of Saturation (S) & Void Ratio (e). With our tool, you need to enter the respective value for Depth of Dam, Specific Weight of Water in KN per cubic meter, Degree of Saturation & Void Ratio 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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