Critical Depth given Saturated Unit Weight Calculator

✖Cohesion in Soil as Kilopascal is the ability of like particles within soil to hold onto each other. It is the shear strength or force that binds together like particles in the structure of a soil.ⓘ Cohesion in Soil as Kilopascal [C]			+10% -10%
✖Saturated Unit Weight of Soil is the ratio of mass of saturated soil sample to total volume.ⓘ Saturated Unit Weight of Soil [γ_saturated]			+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%
✖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%

✖The Critical Depth is defined as the depth of flow where energy is at a minimum for a particular discharge.ⓘ Critical Depth given Saturated Unit Weight [h_c]

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Critical Depth given Saturated Unit Weight Solution

STEP 0: Pre-Calculation Summary

Formula Used

Critical Depth = Cohesion in Soil as Kilopascal/((Saturated Unit Weight of Soil*tan((Angle of Inclination to Horizontal in Soil*pi)/180)*(cos((Angle of Inclination to Horizontal in Soil*pi)/180))^2)-(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))
h_c = C/((γ_saturated*tan((i*pi)/180)*(cos((i*pi)/180))^2)-(y_S*tan((φ*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

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.
Cohesion in Soil as Kilopascal - (Measured in Pascal) - Cohesion in Soil as Kilopascal is the ability of like particles within soil to hold onto each other. It is the shear strength or force that binds together like particles in the structure of a soil.
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.
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.
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 .

STEP 1: Convert Input(s) to Base Unit

Cohesion in Soil as Kilopascal: 1.27 Kilopascal --> 1270 Pascal (Check conversion here)
Saturated Unit Weight of Soil: 11.89 Kilonewton per Cubic Meter --> 11890 Newton per Cubic Meter (Check conversion here)
Angle of Inclination to Horizontal in Soil: 64 Degree --> 1.11701072127616 Radian (Check conversion here)
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)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h_c = C/((γ_saturated*tan((i*pi)/180)*(cos((i*pi)/180))^2)-(y_S*tan((φ*pi)/180)*(cos((i*pi)/180))^2)) --> 1270/((11890*tan((1.11701072127616*pi)/180)*(cos((1.11701072127616*pi)/180))^2)-(5000*tan((0.802851455917241*pi)/180)*(cos((1.11701072127616*pi)/180))^2))

Evaluating ... ...

h_c = 7.85390614906757

STEP 3: Convert Result to Output's Unit

7.85390614906757 Meter --> No Conversion Required

FINAL ANSWER

7.85390614906757 ≈ 7.853906 Meter <-- Critical Depth

(Calculation completed in 00.004 seconds)

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Birsa Institute of Technology (BIT), Sindri

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< Steady State Seepage Analysis Along The Slopes Calculators

Inclined Length of Prism given Saturated Unit Weight

LaTeX 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

LaTeX 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

LaTeX 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

LaTeX 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)

Critical Depth given Saturated Unit Weight Formula

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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 Critical Depth given Saturated Unit Weight?

Critical Depth given Saturated Unit Weight calculator uses Critical Depth = Cohesion in Soil as Kilopascal/((Saturated Unit Weight of Soil*tan((Angle of Inclination to Horizontal in Soil*pi)/180)*(cos((Angle of Inclination to Horizontal in Soil*pi)/180))^2)-(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)) to calculate the Critical Depth, The Critical Depth given Saturated Unit Weight is defined as the value of critical depth when we have prior information of other parameters used. Critical Depth is denoted by h_c symbol.

How to calculate Critical Depth given Saturated Unit Weight using this online calculator? To use this online calculator for Critical Depth given Saturated Unit Weight, enter Cohesion in Soil as Kilopascal (C), Saturated Unit Weight of Soil (γ_saturated), Angle of Inclination to Horizontal in Soil (i), Submerged Unit Weight in KN per Cubic Meter (y_S) & Angle of Internal Friction (φ) and hit the calculate button. Here is how the Critical Depth given Saturated Unit Weight calculation can be explained with given input values -> 7.853906 = 1270/((11890*tan((1.11701072127616*pi)/180)*(cos((1.11701072127616*pi)/180))^2)-(5000*tan((0.802851455917241*pi)/180)*(cos((1.11701072127616*pi)/180))^2)).

FAQ

What is Critical Depth given Saturated Unit Weight?

The Critical Depth given Saturated Unit Weight is defined as the value of critical depth when we have prior information of other parameters used and is represented as h_c = C/((γ_saturated*tan((i*pi)/180)*(cos((i*pi)/180))^2)-(y_S*tan((φ*pi)/180)*(cos((i*pi)/180))^2)) or Critical Depth = Cohesion in Soil as Kilopascal/((Saturated Unit Weight of Soil*tan((Angle of Inclination to Horizontal in Soil*pi)/180)*(cos((Angle of Inclination to Horizontal in Soil*pi)/180))^2)-(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)). Cohesion in Soil as Kilopascal is the ability of like particles within soil to hold onto each other. It is the shear strength or force that binds together like particles in the structure of a soil, Saturated Unit Weight of Soil is the ratio of mass of saturated soil sample to total volume, Angle of Inclination to Horizontal in Soil is defined as the angle measured from the horizontal surface of the wall or any object, 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 .

How to calculate Critical Depth given Saturated Unit Weight?

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