Saturated Unit Weight given Factor of Safety for Cohesive Soil 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%
✖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%
✖Depth of Prism is the length of prism along z direction.ⓘ Depth of Prism [z]			+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%
✖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%
✖Factor of Safety in Soil Mechanics expresses how much stronger a system is than it needs to be for an intended load.ⓘ Factor of Safety in Soil Mechanics [F_s]			+10% -10%

✖Saturated Unit Weight of Soil is the ratio of mass of saturated soil sample to total volume.ⓘ Saturated Unit Weight given Factor of Safety for Cohesive Soil [γ_saturated]

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Saturated Unit Weight given Factor of Safety for Cohesive Soil Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
γ_saturated = (C_eff+(y_S*z*tan((Φ_i*pi)/180)*(cos((i*pi)/180))^2))/(F_s*z*cos((i*pi)/180)*sin((i*pi)/180))
This formula uses 1 Constants, 3 Functions, 7 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)
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.
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.
Depth of Prism - (Measured in Meter) - Depth of Prism is the length of prism along z direction.
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.
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.
Factor of Safety in Soil Mechanics - Factor of Safety in Soil Mechanics expresses how much stronger a system is than it needs to be for an intended load.

STEP 1: Convert Input(s) to Base Unit

Effective Cohesion in Geotech as Kilopascal: 0.32 Kilopascal --> 320 Pascal (Check conversion here)
Submerged Unit Weight in KN per Cubic Meter: 5 Kilonewton per Cubic Meter --> 5000 Newton per Cubic Meter (Check conversion here)
Depth of Prism: 3 Meter --> 3 Meter No Conversion Required
Angle of Internal Friction of Soil: 82.87 Degree --> 1.44635435112743 Radian (Check conversion here)
Angle of Inclination to Horizontal in Soil: 64 Degree --> 1.11701072127616 Radian (Check conversion here)
Factor of Safety in Soil Mechanics: 2.8 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

γ_saturated = (C_eff+(y_S*z*tan((Φ_i*pi)/180)*(cos((i*pi)/180))^2))/(F_s*z*cos((i*pi)/180)*sin((i*pi)/180)) --> (320+(5000*3*tan((1.44635435112743*pi)/180)*(cos((1.11701072127616*pi)/180))^2))/(2.8*3*cos((1.11701072127616*pi)/180)*sin((1.11701072127616*pi)/180))

Evaluating ... ...

γ_saturated = 4266.96585716475

STEP 3: Convert Result to Output's Unit

4266.96585716475 Newton per Cubic Meter -->4.26696585716475 Kilonewton per Cubic Meter (Check conversion here)

FINAL ANSWER

4.26696585716475 ≈ 4.266966 Kilonewton per Cubic Meter <-- Saturated Unit Weight of Soil

(Calculation completed in 00.020 seconds)

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Home » Engineering » Civil » Geotechnical Engineering » Seepage Analysis » Steady State Seepage Analysis Along The Slopes » Saturated Unit Weight given Factor of Safety for Cohesive Soil

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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)

Saturated Unit Weight given Factor of Safety for Cohesive Soil 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 Saturated Unit Weight given Factor of Safety for Cohesive Soil?

Saturated Unit Weight given Factor of Safety for Cohesive Soil calculator uses 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)) to calculate the Saturated Unit Weight of Soil, The Saturated Unit Weight given Factor of Safety for Cohesive Soil 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 Factor of Safety for Cohesive Soil using this online calculator? To use this online calculator for Saturated Unit Weight given Factor of Safety for Cohesive Soil, enter Effective Cohesion in Geotech as Kilopascal (C_eff), Submerged Unit Weight in KN per Cubic Meter (y_S), Depth of Prism (z), Angle of Internal Friction of Soil (Φ_i), Angle of Inclination to Horizontal in Soil (i) & Factor of Safety in Soil Mechanics (F_s) and hit the calculate button. Here is how the Saturated Unit Weight given Factor of Safety for Cohesive Soil calculation can be explained with given input values -> 0.004267 = (320+(5000*3*tan((1.44635435112743*pi)/180)*(cos((1.11701072127616*pi)/180))^2))/(2.8*3*cos((1.11701072127616*pi)/180)*sin((1.11701072127616*pi)/180)).

FAQ

What is Saturated Unit Weight given Factor of Safety for Cohesive Soil?

The Saturated Unit Weight given Factor of Safety for Cohesive Soil 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+(y_S*z*tan((Φ_i*pi)/180)*(cos((i*pi)/180))^2))/(F_s*z*cos((i*pi)/180)*sin((i*pi)/180)) or 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)). 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, 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, Depth of Prism is the length of prism along z direction, Angle of Internal Friction of Soil is is a measure of the shear strength of soil due to friction, Angle of Inclination to Horizontal in Soil is defined as the angle measured from the horizontal surface of the wall or any object & Factor of Safety in Soil Mechanics expresses how much stronger a system is than it needs to be for an intended load.

How to calculate Saturated Unit Weight given Factor of Safety for Cohesive Soil?

The Saturated Unit Weight given Factor of Safety for Cohesive Soil 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+(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)). To calculate Saturated Unit Weight given Factor of Safety for Cohesive Soil, you need Effective Cohesion in Geotech as Kilopascal (C_eff), Submerged Unit Weight in KN per Cubic Meter (y_S), Depth of Prism (z), Angle of Internal Friction of Soil (Φ_i), Angle of Inclination to Horizontal in Soil (i) & Factor of Safety in Soil Mechanics (F_s). With our tool, you need to enter the respective value for Effective Cohesion in Geotech as Kilopascal, Submerged Unit Weight in KN per Cubic Meter, Depth of Prism, Angle of Internal Friction of Soil, Angle of Inclination to Horizontal in Soil & Factor of Safety in Soil Mechanics 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, Submerged Unit Weight in KN per Cubic Meter, Depth of Prism, Angle of Internal Friction of Soil, Angle of Inclination to Horizontal in Soil & Factor of Safety in Soil Mechanics. 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/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)

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