Submerged Unit Weight given Critical Depth and Cohesion Calculator

✖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%
✖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%
✖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%
✖Angle of Internal Friction of Soil is is a measure of the shear strength of soil due to friction.ⓘ Angle of Internal Friction of Soil [Φ_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 given Critical Depth and Cohesion [y_S]

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Submerged Unit Weight given Critical Depth and Cohesion Solution

STEP 0: Pre-Calculation Summary

Formula Used

Submerged Unit Weight in KN per Cubic Meter = ((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)-(Cohesion in Soil as Kilopascal/Critical Depth))/(-tan((Angle of Internal Friction of Soil*pi)/180)*(cos((Angle of Inclination to Horizontal in Soil*pi)/180))^2)
y_S = ((γ_saturated*tan((i*pi)/180)*(cos((i*pi)/180))^2)-(C/h_c))/(-tan((Φ_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

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.
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.
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.
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.
Angle of Internal Friction of Soil - (Measured in Radian) - Angle of Internal Friction of Soil is is a measure of the shear strength of soil due to friction.

STEP 1: Convert Input(s) to Base Unit

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)
Cohesion in Soil as Kilopascal: 1.27 Kilopascal --> 1270 Pascal (Check conversion here)
Critical Depth: 1.01 Meter --> 1.01 Meter No Conversion Required
Angle of Internal Friction of Soil: 82.87 Degree --> 1.44635435112743 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

y_S = ((γ_saturated*tan((i*pi)/180)*(cos((i*pi)/180))^2)-(C/h_c))/(-tan((Φ_i*pi)/180)*(cos((i*pi)/180))^2) --> ((11890*tan((1.11701072127616*pi)/180)*(cos((1.11701072127616*pi)/180))^2)-(1270/1.01))/(-tan((1.44635435112743*pi)/180)*(cos((1.11701072127616*pi)/180))^2)

Evaluating ... ...

y_S = 40638.1388863606

STEP 3: Convert Result to Output's Unit

40638.1388863606 Newton per Cubic Meter -->40.6381388863607 Kilonewton per Cubic Meter (Check conversion here)

FINAL ANSWER

40.6381388863607 ≈ 40.63814 Kilonewton per Cubic Meter <-- Submerged Unit Weight in KN per Cubic Meter

(Calculation completed in 00.012 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)

Submerged Unit Weight given Critical Depth and Cohesion 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 Submerged Unit Weight given Critical Depth and Cohesion?

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

How to calculate Submerged Unit Weight given Critical Depth and Cohesion using this online calculator? To use this online calculator for Submerged Unit Weight given Critical Depth and Cohesion, enter Saturated Unit Weight of Soil (γ_saturated), Angle of Inclination to Horizontal in Soil (i), Cohesion in Soil as Kilopascal (C), Critical Depth (h_c) & Angle of Internal Friction of Soil (Φ_i) and hit the calculate button. Here is how the Submerged Unit Weight given Critical Depth and Cohesion calculation can be explained with given input values -> 0.040638 = ((11890*tan((1.11701072127616*pi)/180)*(cos((1.11701072127616*pi)/180))^2)-(1270/1.01))/(-tan((1.44635435112743*pi)/180)*(cos((1.11701072127616*pi)/180))^2).

FAQ

What is Submerged Unit Weight given Critical Depth and Cohesion?

The Submerged Unit Weight given Critical Depth and Cohesion is defined as the value of submerged unit weight when we have prior information of other parameters used and is represented as y_S = ((γ_saturated*tan((i*pi)/180)*(cos((i*pi)/180))^2)-(C/h_c))/(-tan((Φ_i*pi)/180)*(cos((i*pi)/180))^2) or Submerged Unit Weight in KN per Cubic Meter = ((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)-(Cohesion in Soil as Kilopascal/Critical Depth))/(-tan((Angle of Internal Friction of Soil*pi)/180)*(cos((Angle of Inclination to Horizontal in Soil*pi)/180))^2). 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, 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, The Critical Depth is defined as the depth of flow where energy is at a minimum for a particular discharge & Angle of Internal Friction of Soil is is a measure of the shear strength of soil due to friction.

How to calculate Submerged Unit Weight given Critical Depth and Cohesion?

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

In this formula, Submerged Unit Weight in KN per Cubic Meter uses Saturated Unit Weight of Soil, Angle of Inclination to Horizontal in Soil, Cohesion in Soil as Kilopascal, Critical Depth & Angle of Internal Friction of Soil. We can use 3 other way(s) to calculate the same, which is/are as follows -

Submerged Unit Weight in KN per Cubic Meter = Effective Normal Stress in Soil Mechanics/(Depth of Prism*(cos((Angle of Inclination to Horizontal in Soil*pi)/180))^2)
Submerged Unit Weight in KN per Cubic Meter = (Normal Stress in Soil Mechanics-Upward Force in Seepage Analysis)/(Depth of Prism*(cos((Angle of Inclination to Horizontal in Soil*pi)/180))^2)
Submerged Unit Weight in KN per Cubic Meter = Factor of Safety in Soil Mechanics/((tan((Angle of Internal Friction of Soil*pi)/180))/(Saturated Unit Weight of Soil*tan((Angle of Inclination to Horizontal in Soil*pi)/180)))

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