Critical Depth given Submerged Unit Weight Calculator

✖Cohesion of Soil 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 of Soil [C_s]			+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 is the unit weight of weight of soil as observed underwater in a saturated condition of course.ⓘ Submerged Unit Weight [γ^']			+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 Submerged Unit Weight [h_c]

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Critical Depth given Submerged Unit Weight Solution

STEP 0: Pre-Calculation Summary

Formula Used

Critical Depth = (Cohesion of Soil*(sec((Angle of Inclination to Horizontal in Soil)))^2)/(Submerged Unit Weight*(tan((Angle of Inclination to Horizontal in Soil))-tan((Angle of Internal Friction))))
h_c = (C_s*(sec((i)))^2)/(γ^'*(tan((i))-tan((φ))))
This formula uses 2 Functions, 5 Variables

Functions Used

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)
sec - Secant is a trigonometric function that is defined ratio of the hypotenuse to the shorter side adjacent to an acute angle (in a right-angled triangle); the reciprocal of a cosine., sec(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 of Soil - (Measured in Kilopascal) - Cohesion of Soil 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.
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 - (Measured in Newton per Cubic Meter) - Submerged Unit Weight is the unit weight of weight of soil as observed underwater 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 of Soil: 5 Kilopascal --> 5 Kilopascal No Conversion Required
Angle of Inclination to Horizontal in Soil: 64 Degree --> 1.11701072127616 Radian (Check conversion here)
Submerged Unit Weight: 5.01 Newton per Cubic Meter --> 5.01 Newton per Cubic Meter No Conversion Required
Angle of Internal Friction: 46 Degree --> 0.802851455917241 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h_c = (C_s*(sec((i)))^2)/(γ^'*(tan((i))-tan((φ)))) --> (5*(sec((1.11701072127616)))^2)/(5.01*(tan((1.11701072127616))-tan((0.802851455917241))))

Evaluating ... ...

h_c = 5.11775187500408

STEP 3: Convert Result to Output's Unit

5.11775187500408 Meter --> No Conversion Required

FINAL ANSWER

5.11775187500408 ≈ 5.117752 Meter <-- Critical Depth

(Calculation completed in 00.020 seconds)

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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Meerut Institute of Engineering and Technology (MIET), Meerut

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< Stability Analysis of Submerged Slopes Calculators

Shear Stress Component given Submerged Unit Weight

LaTeX Go Shear Stress for Submerged Slopes = (Submerged Unit Weight*Depth of Prism*cos((Angle of Inclination to Horizontal in Soil))*sin((Angle of Inclination to Horizontal in Soil)))

Submerged Unit Weight given Normal Stress Component

LaTeX Go Submerged Unit Weight = Normal Stress/(Depth of Prism*(cos((Angle of Inclination to Horizontal in Soil)))^2)

Depth of Prism given Submerged Unit Weight

LaTeX Go Depth of Prism = Normal Stress/(Submerged Unit Weight*(cos((Angle of Inclination to Horizontal in Soil)))^2)

Normal Stress Component given Submerged Unit Weight

LaTeX Go Normal Stress = Submerged Unit Weight*Depth of Prism*(cos((Angle of Inclination to Horizontal in Soil)))^2

Critical Depth given Submerged Unit Weight Formula

LaTeX Go

What is Submerged Unit Weight?

The weight of the solids in air minus the weight of water displaced by the solids per unit of volume of soil mass; the saturated unit weight minus the unit weight of water.

How to Calculate Critical Depth given Submerged Unit Weight?

Critical Depth given Submerged Unit Weight calculator uses Critical Depth = (Cohesion of Soil*(sec((Angle of Inclination to Horizontal in Soil)))^2)/(Submerged Unit Weight*(tan((Angle of Inclination to Horizontal in Soil))-tan((Angle of Internal Friction)))) to calculate the Critical Depth, The Critical Depth given Submerged Unit Weight is defined as the depth at which submerged unit weight equals fluid unit weight, influencing open channel flow behavior. Critical Depth is denoted by h_c symbol.

How to calculate Critical Depth given Submerged Unit Weight using this online calculator? To use this online calculator for Critical Depth given Submerged Unit Weight, enter Cohesion of Soil (C_s), Angle of Inclination to Horizontal in Soil (i), Submerged Unit Weight (γ^') & Angle of Internal Friction (φ) and hit the calculate button. Here is how the Critical Depth given Submerged Unit Weight calculation can be explained with given input values -> 5.127987 = (5000*(sec((1.11701072127616)))^2)/(5.01*(tan((1.11701072127616))-tan((0.802851455917241)))).

FAQ

What is Critical Depth given Submerged Unit Weight?

The Critical Depth given Submerged Unit Weight is defined as the depth at which submerged unit weight equals fluid unit weight, influencing open channel flow behavior and is represented as h_c = (C_s*(sec((i)))^2)/(γ^'*(tan((i))-tan((φ)))) or Critical Depth = (Cohesion of Soil*(sec((Angle of Inclination to Horizontal in Soil)))^2)/(Submerged Unit Weight*(tan((Angle of Inclination to Horizontal in Soil))-tan((Angle of Internal Friction)))). Cohesion of Soil 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, 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 is the unit weight of weight of soil as observed underwater 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 Submerged Unit Weight?

The Critical Depth given Submerged Unit Weight is defined as the depth at which submerged unit weight equals fluid unit weight, influencing open channel flow behavior is calculated using Critical Depth = (Cohesion of Soil*(sec((Angle of Inclination to Horizontal in Soil)))^2)/(Submerged Unit Weight*(tan((Angle of Inclination to Horizontal in Soil))-tan((Angle of Internal Friction)))). To calculate Critical Depth given Submerged Unit Weight, you need Cohesion of Soil (C_s), Angle of Inclination to Horizontal in Soil (i), Submerged Unit Weight (γ^') & Angle of Internal Friction (φ). With our tool, you need to enter the respective value for Cohesion of Soil, Angle of Inclination to Horizontal in Soil, Submerged Unit Weight & 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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