Depth of Prism given Upward Force due to Seepage Water Calculator

✖Upward Force in Seepage Analysis is due to seepage water.ⓘ Upward Force in Seepage Analysis [F_u]			+10% -10%
✖Unit Weight of Water is mass per unit of water.ⓘ Unit Weight of Water [γ_water]			+10% -10%
✖Angle of Inclination to Horizontal in Soil is defined as the angle measured from the horizontal surface of the wall or any object.ⓘ Angle of Inclination to Horizontal in Soil [i]			+10% -10%

✖Depth of Prism is the length of prism along z direction.ⓘ Depth of Prism given Upward Force due to Seepage Water [z]

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Depth of Prism given Upward Force due to Seepage Water Solution

STEP 0: Pre-Calculation Summary

Formula Used

Depth of Prism = Upward Force in Seepage Analysis/(Unit Weight of Water*(cos((Angle of Inclination to Horizontal in Soil*pi)/180))^2)
z = F_u/(γ_water*(cos((i*pi)/180))^2)
This formula uses 1 Constants, 1 Functions, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)

Variables Used

Depth of Prism - (Measured in Meter) - Depth of Prism is the length of prism along z direction.
Upward Force in Seepage Analysis - (Measured in Pascal) - Upward Force in Seepage Analysis is due to seepage water.
Unit Weight of Water - (Measured in Newton per Cubic Meter) - Unit Weight of Water is mass per unit of water.
Angle of Inclination to Horizontal in Soil - (Measured in Radian) - Angle of Inclination to Horizontal in Soil is defined as the angle measured from the horizontal surface of the wall or any object.

STEP 1: Convert Input(s) to Base Unit

Upward Force in Seepage Analysis: 52.89 Kilonewton per Square Meter --> 52890 Pascal (Check conversion here)
Unit Weight of Water: 9.81 Kilonewton per Cubic Meter --> 9810 Newton per Cubic Meter (Check conversion here)
Angle of Inclination to Horizontal in Soil: 64 Degree --> 1.11701072127616 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

z = F_u/(γ_water*(cos((i*pi)/180))^2) --> 52890/(9810*(cos((1.11701072127616*pi)/180))^2)

Evaluating ... ...

z = 5.39348697927501

STEP 3: Convert Result to Output's Unit

5.39348697927501 Meter --> No Conversion Required

FINAL ANSWER

5.39348697927501 ≈ 5.393487 Meter <-- Depth of Prism

(Calculation completed in 00.020 seconds)

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Home » Engineering » Civil » Geotechnical Engineering » Seepage Analysis » Factor of Steady Seepage Along the Slope » Depth of Prism given Upward Force due to Seepage Water

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

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< Factor of Steady Seepage Along the Slope Calculators

Depth of Prism given Saturated Unit Weight

LaTeX Go Depth of Prism = Weight of Prism in Soil Mechanics/(Saturated Unit Weight in Newton per Cubic Meter*Inclined Length of Prism*cos((Angle of Inclination to Horizontal in Soil*pi)/180))

Saturated Unit Weight given Weight of Soil Prism

LaTeX Go Saturated Unit Weight of Soil = Weight of Prism in Soil Mechanics/(Depth of Prism*Inclined Length of Prism*cos((Angle of Inclination to Horizontal in Soil*pi)/180))

Saturated Unit Weight given Vertical Stress on Prism

LaTeX Go Saturated Unit Weight of Soil = Vertical Stress at a Point in Kilopascal/(Depth of Prism*cos((Angle of Inclination to Horizontal in Soil*pi)/180))

Angle of Inclination given Saturated Unit Weight

LaTeX Go Angle of Inclination to Horizontal in Soil = acos(Weight of Prism in Soil Mechanics/(Unit Weight of Soil*Depth of Prism*Inclined Length of Prism))

Depth of Prism given Upward Force due to Seepage Water Formula

LaTeX Go

Depth of Prism = Upward Force in Seepage Analysis/(Unit Weight of Water*(cos((Angle of Inclination to Horizontal in Soil*pi)/180))^2)
z = F_u/(γ_water*(cos((i*pi)/180))^2)

What is Seepage of Water?

Water seepage is when water flows from one place to another via small holes or porous material. It's a prevalent issue that usually occurs after heavy rainfall. This pressure forces water into your home through the tiniest cracks in your basement's floor and walls.

How to Calculate Depth of Prism given Upward Force due to Seepage Water?

Depth of Prism given Upward Force due to Seepage Water calculator uses Depth of Prism = Upward Force in Seepage Analysis/(Unit Weight of Water*(cos((Angle of Inclination to Horizontal in Soil*pi)/180))^2) to calculate the Depth of Prism, The Depth of Prism given Upward Force due to Seepage Water is defined as the value of depth of prism when we have prior information of other parameters used. Depth of Prism is denoted by z symbol.

How to calculate Depth of Prism given Upward Force due to Seepage Water using this online calculator? To use this online calculator for Depth of Prism given Upward Force due to Seepage Water, enter Upward Force in Seepage Analysis (F_u), Unit Weight of Water (γ_water) & Angle of Inclination to Horizontal in Soil (i) and hit the calculate button. Here is how the Depth of Prism given Upward Force due to Seepage Water calculation can be explained with given input values -> 2.039511 = 52890/(9810*(cos((1.11701072127616*pi)/180))^2).

FAQ

What is Depth of Prism given Upward Force due to Seepage Water?

The Depth of Prism given Upward Force due to Seepage Water is defined as the value of depth of prism when we have prior information of other parameters used and is represented as z = F_u/(γ_water*(cos((i*pi)/180))^2) or Depth of Prism = Upward Force in Seepage Analysis/(Unit Weight of Water*(cos((Angle of Inclination to Horizontal in Soil*pi)/180))^2). Upward Force in Seepage Analysis is due to seepage water, Unit Weight of Water is mass per unit of water & Angle of Inclination to Horizontal in Soil is defined as the angle measured from the horizontal surface of the wall or any object.

How to calculate Depth of Prism given Upward Force due to Seepage Water?

The Depth of Prism given Upward Force due to Seepage Water is defined as the value of depth of prism when we have prior information of other parameters used is calculated using Depth of Prism = Upward Force in Seepage Analysis/(Unit Weight of Water*(cos((Angle of Inclination to Horizontal in Soil*pi)/180))^2). To calculate Depth of Prism given Upward Force due to Seepage Water, you need Upward Force in Seepage Analysis (F_u), Unit Weight of Water (γ_water) & Angle of Inclination to Horizontal in Soil (i). With our tool, you need to enter the respective value for Upward Force in Seepage Analysis, Unit Weight of Water & Angle of Inclination to Horizontal in Soil 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 Depth of Prism?

In this formula, Depth of Prism uses Upward Force in Seepage Analysis, Unit Weight of Water & Angle of Inclination to Horizontal in Soil. We can use 3 other way(s) to calculate the same, which is/are as follows -

Depth of Prism = Weight of Prism in Soil Mechanics/(Saturated Unit Weight in Newton per Cubic Meter*Inclined Length of Prism*cos((Angle of Inclination to Horizontal in Soil*pi)/180))
Depth of Prism = Vertical Stress at a Point in Kilopascal/(Saturated Unit Weight of Soil*cos((Angle of Inclination to Horizontal in Soil*pi)/180))
Depth of Prism = Normal Stress in Soil Mechanics/(Saturated Unit Weight of Soil*(cos((Angle of Inclination to Horizontal in Soil*pi)/180))^2)

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