Saturated Unit Weight given Critical Depth Calculator

✖Effective Cohesion in Geotech as Kilopascal is the consistency of soft to hard defined on the basis of the standard CSN 73 1001 for different states of consistency and degree of saturation.ⓘ Effective Cohesion in Geotech as Kilopascal [C_eff]			+10% -10%
✖The Critical Depth is defined as the depth of flow where energy is at a minimum for a particular discharge.ⓘ Critical Depth [h_c]			+10% -10%
✖Submerged Unit Weight in KN per Cubic Meter is the unit weight of a weight of soil as observed under water in a saturated condition of course.ⓘ Submerged Unit Weight in KN per Cubic Meter [y_S]			+10% -10%
✖Angle of Internal Friction is the angle measured between the normal force and resultant force .ⓘ Angle of Internal Friction [φ]			+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%

✖Saturated Unit Weight of Soil is the ratio of mass of saturated soil sample to total volume.ⓘ Saturated Unit Weight given Critical Depth [γ_saturated]

⎘ Copy

👎

Formula

✖

Saturated Unit Weight given Critical Depth

Formula

γ saturated = \frac{(\frac{C eff}{h c}) - (y S \cdot \tan (\frac{φ \cdot π}{180}) \cdot {(\cos (\frac{i \cdot π}{180}))}^{2})}{\tan (\frac{i \cdot π}{180}) \cdot {(\cos (\frac{i \cdot π}{180}))}^{2}}

Example

12.66211 kN/m³ = \frac{(\frac{0.32 kPa}{1.01 m}) - (5.00 kN/m³ \cdot \tan (\frac{46 ° \cdot π}{180}) \cdot {(\cos (\frac{64 ° \cdot π}{180}))}^{2})}{\tan (\frac{64 ° \cdot π}{180}) \cdot {(\cos (\frac{64 ° \cdot π}{180}))}^{2}}

Calculator

LaTeX

Reset

👍

Download Seepage Analysis Formulas PDF PDF Image

Saturated Unit Weight given Critical Depth Solution

STEP 0: Pre-Calculation Summary

Formula Used

Saturated Unit Weight of Soil = ((Effective Cohesion in Geotech as Kilopascal/Critical Depth)-(Submerged Unit Weight in KN per Cubic Meter*tan((Angle of Internal Friction*pi)/180)*(cos((Angle of Inclination to Horizontal in Soil*pi)/180))^2))/(tan((Angle of Inclination to Horizontal in Soil*pi)/180)*(cos((Angle of Inclination to Horizontal in Soil*pi)/180))^2)
γ_saturated = ((C_eff/h_c)-(y_S*tan((φ*pi)/180)*(cos((i*pi)/180))^2))/(tan((i*pi)/180)*(cos((i*pi)/180))^2)
This formula uses 1 Constants, 2 Functions, 6 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)
tan - The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle., tan(Angle)

Variables Used

Saturated Unit Weight of Soil - (Measured in Newton per Cubic Meter) - Saturated Unit Weight of Soil is the ratio of mass of saturated soil sample to total volume.
Effective Cohesion in Geotech as Kilopascal - (Measured in Pascal) - Effective Cohesion in Geotech as Kilopascal is the consistency of soft to hard defined on the basis of the standard CSN 73 1001 for different states of consistency and degree of saturation.
Critical Depth - (Measured in Meter) - The Critical Depth is defined as the depth of flow where energy is at a minimum for a particular discharge.
Submerged Unit Weight in KN per Cubic Meter - (Measured in Newton per Cubic Meter) - Submerged Unit Weight in KN per Cubic Meter is the unit weight of a weight of soil as observed under water in a saturated condition of course.
Angle of Internal Friction - (Measured in Radian) - Angle of Internal Friction is the angle measured between the normal force and resultant force .
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

Effective Cohesion in Geotech as Kilopascal: 0.32 Kilopascal --> 320 Pascal (Check conversion here)
Critical Depth: 1.01 Meter --> 1.01 Meter No Conversion Required
Submerged Unit Weight in KN per Cubic Meter: 5 Kilonewton per Cubic Meter --> 5000 Newton per Cubic Meter (Check conversion here)
Angle of Internal Friction: 46 Degree --> 0.802851455917241 Radian (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

γ_saturated = ((C_eff/h_c)-(y_S*tan((φ*pi)/180)*(cos((i*pi)/180))^2))/(tan((i*pi)/180)*(cos((i*pi)/180))^2) --> ((320/1.01)-(5000*tan((0.802851455917241*pi)/180)*(cos((1.11701072127616*pi)/180))^2))/(tan((1.11701072127616*pi)/180)*(cos((1.11701072127616*pi)/180))^2)

Evaluating ... ...

γ_saturated = 12662.1052925916

STEP 3: Convert Result to Output's Unit

12662.1052925916 Newton per Cubic Meter -->12.6621052925916 Kilonewton per Cubic Meter (Check conversion here)

FINAL ANSWER

12.6621052925916 ≈ 12.66211 Kilonewton per Cubic Meter <-- Saturated Unit Weight of Soil

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Civil » Geotechnical Engineering » Seepage Analysis » Steady State Seepage Analysis Along The Slopes » Saturated Unit Weight given Critical Depth

Credits

Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

Suraj Kumar has created this Calculator and 2100+ more calculators!

Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

Ishita Goyal has verified this Calculator and 2600+ more calculators!

< Steady State Seepage Analysis Along The Slopes Calculators

Inclined Length of Prism given Saturated Unit Weight

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

Weight of Soil Prism given Saturated Unit Weight

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

Vertical Stress on Prism given Saturated Unit Weight

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

Normal Stress Component given Saturated Unit Weight

Go Normal Stress in Soil Mechanics = (Saturated Unit Weight of Soil*Depth of Prism*(cos((Angle of Inclination to Horizontal in Soil*pi)/180))^2)

Saturated Unit Weight given Critical Depth Formula

What is Saturated Unit Weight?

Saturated unit weight is equal to the bulk density when the total voids is filled up with water.Buoyant unit weight or submerged unit weight is the effective mass per unit volume when the soil is submerged below standing water or below the ground water table.

How to Calculate Saturated Unit Weight given Critical Depth?

Saturated Unit Weight given Critical Depth calculator uses Saturated Unit Weight of Soil = ((Effective Cohesion in Geotech as Kilopascal/Critical Depth)-(Submerged Unit Weight in KN per Cubic Meter*tan((Angle of Internal Friction*pi)/180)*(cos((Angle of Inclination to Horizontal in Soil*pi)/180))^2))/(tan((Angle of Inclination to Horizontal in Soil*pi)/180)*(cos((Angle of Inclination to Horizontal in Soil*pi)/180))^2) to calculate the Saturated Unit Weight of Soil, The Saturated Unit Weight given Critical Depth is defined as the value of saturated unit weight when we have prior information of other parameters used. Saturated Unit Weight of Soil is denoted by γ_saturated symbol.

How to calculate Saturated Unit Weight given Critical Depth using this online calculator? To use this online calculator for Saturated Unit Weight given Critical Depth, enter Effective Cohesion in Geotech as Kilopascal (C_eff), Critical Depth (h_c), Submerged Unit Weight in KN per Cubic Meter (y_S), Angle of Internal Friction (φ) & Angle of Inclination to Horizontal in Soil (i) and hit the calculate button. Here is how the Saturated Unit Weight given Critical Depth calculation can be explained with given input values -> 0.012662 = ((320/1.01)-(5000*tan((0.802851455917241*pi)/180)*(cos((1.11701072127616*pi)/180))^2))/(tan((1.11701072127616*pi)/180)*(cos((1.11701072127616*pi)/180))^2).

FAQ

What is Saturated Unit Weight given Critical Depth?

The Saturated Unit Weight given Critical Depth is defined as the value of saturated unit weight when we have prior information of other parameters used and is represented as γ_saturated = ((C_eff/h_c)-(y_S*tan((φ*pi)/180)*(cos((i*pi)/180))^2))/(tan((i*pi)/180)*(cos((i*pi)/180))^2) or Saturated Unit Weight of Soil = ((Effective Cohesion in Geotech as Kilopascal/Critical Depth)-(Submerged Unit Weight in KN per Cubic Meter*tan((Angle of Internal Friction*pi)/180)*(cos((Angle of Inclination to Horizontal in Soil*pi)/180))^2))/(tan((Angle of Inclination to Horizontal in Soil*pi)/180)*(cos((Angle of Inclination to Horizontal in Soil*pi)/180))^2). Effective Cohesion in Geotech as Kilopascal is the consistency of soft to hard defined on the basis of the standard CSN 73 1001 for different states of consistency and degree of saturation, The Critical Depth is defined as the depth of flow where energy is at a minimum for a particular discharge, Submerged Unit Weight in KN per Cubic Meter is the unit weight of a weight of soil as observed under water in a saturated condition of course, Angle of Internal Friction is the angle measured between the normal force and resultant force & 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 Saturated Unit Weight given Critical Depth?

The Saturated Unit Weight given Critical Depth is defined as the value of saturated unit weight when we have prior information of other parameters used is calculated using Saturated Unit Weight of Soil = ((Effective Cohesion in Geotech as Kilopascal/Critical Depth)-(Submerged Unit Weight in KN per Cubic Meter*tan((Angle of Internal Friction*pi)/180)*(cos((Angle of Inclination to Horizontal in Soil*pi)/180))^2))/(tan((Angle of Inclination to Horizontal in Soil*pi)/180)*(cos((Angle of Inclination to Horizontal in Soil*pi)/180))^2). To calculate Saturated Unit Weight given Critical Depth, you need Effective Cohesion in Geotech as Kilopascal (C_eff), Critical Depth (h_c), Submerged Unit Weight in KN per Cubic Meter (y_S), Angle of Internal Friction (φ) & Angle of Inclination to Horizontal in Soil (i). With our tool, you need to enter the respective value for Effective Cohesion in Geotech as Kilopascal, Critical Depth, Submerged Unit Weight in KN per Cubic Meter, Angle of Internal Friction & 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 Saturated Unit Weight of Soil?

In this formula, Saturated Unit Weight of Soil uses Effective Cohesion in Geotech as Kilopascal, Critical Depth, Submerged Unit Weight in KN per Cubic Meter, Angle of Internal Friction & Angle of Inclination to Horizontal in Soil. We can use 1 other way(s) to calculate the same, which is/are as follows -

Saturated Unit Weight of Soil = (Effective Cohesion in Geotech as Kilopascal+(Submerged Unit Weight in KN per Cubic Meter*Depth of Prism*tan((Angle of Internal Friction of Soil*pi)/180)*(cos((Angle of Inclination to Horizontal in Soil*pi)/180))^2))/(Factor of Safety in Soil Mechanics*Depth of Prism*cos((Angle of Inclination to Horizontal in Soil*pi)/180)*sin((Angle of Inclination to Horizontal in Soil*pi)/180))

Home

FREE PDFs

🔍 Search