Unit Weight of Soil given Factor of Safety for Cohesive Soil 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]			+10% -10%
✖Factor of Safety expresses how much stronger a system is than it needs to be for an intended load.ⓘ Factor of Safety [f_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 is defined as the angle measured from the horizontal surface of the wall or any object.ⓘ Angle of Inclination [I]			+10% -10%
✖Depth of Prism is the length of prism along z direction.ⓘ Depth of Prism [z]			+10% -10%

✖Unit Weight of Soil mass is the ratio of the total weight of soil to the total volume of soil.ⓘ Unit Weight of Soil given Factor of Safety for Cohesive Soil [γ]

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Unit Weight of Soil given Factor of Safety for Cohesive Soil Solution

STEP 0: Pre-Calculation Summary

Formula Used

Unit Weight of Soil = Cohesion of Soil/((Factor of Safety-(tan((Angle of Internal Friction*pi)/180)/tan((Angle of Inclination*pi)/180)))*Depth of Prism*cos((Angle of Inclination*pi)/180)*sin((Angle of Inclination*pi)/180))
γ = c/((f_s-(tan((φ*pi)/180)/tan((I*pi)/180)))*z*cos((I*pi)/180)*sin((I*pi)/180))
This formula uses 1 Constants, 3 Functions, 6 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

Unit Weight of Soil - (Measured in Newton per Cubic Meter) - Unit Weight of Soil mass is the ratio of the total weight of soil to the total volume of soil.
Cohesion of Soil - (Measured in Pascal) - 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.
Factor of Safety - Factor of Safety expresses how much stronger a system is than it needs to be for an intended load.
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 - (Measured in Radian) - Angle of Inclination is defined as the angle measured from the horizontal surface of the wall or any object.
Depth of Prism - (Measured in Meter) - Depth of Prism is the length of prism along z direction.

STEP 1: Convert Input(s) to Base Unit

Cohesion of Soil: 3.01 Kilopascal --> 3010 Pascal (Check conversion here)
Factor of Safety: 2.8 --> No Conversion Required
Angle of Internal Friction: 46 Degree --> 0.802851455917241 Radian (Check conversion here)
Angle of Inclination: 80 Degree --> 1.3962634015952 Radian (Check conversion here)
Depth of Prism: 3 Meter --> 3 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

γ = c/((f_s-(tan((φ*pi)/180)/tan((I*pi)/180)))*z*cos((I*pi)/180)*sin((I*pi)/180)) --> 3010/((2.8-(tan((0.802851455917241*pi)/180)/tan((1.3962634015952*pi)/180)))*3*cos((1.3962634015952*pi)/180)*sin((1.3962634015952*pi)/180))

Evaluating ... ...

γ = 18510.9021894337

STEP 3: Convert Result to Output's Unit

18510.9021894337 Newton per Cubic Meter -->18.5109021894337 Kilonewton per Cubic Meter (Check conversion here)

FINAL ANSWER

18.5109021894337 ≈ 18.5109 Kilonewton per Cubic Meter <-- Unit Weight of Soil

(Calculation completed in 00.112 seconds)

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Home » Engineering » Civil » Geotechnical Engineering » Stability Analysis of Infinite Slopes in Prism » Unit Weight of Soil given Factor of Safety for Cohesive Soil

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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 Infinite Slopes in Prism Calculators

Inclined Length along Slope given Weight of Soil Prism

LaTeX Go Inclined Length = Weight of Prism/(Unit Weight of Soil*Depth of Prism*cos((Angle of Inclination)))

Unit Weight of Soil given Weight of Soil Prism

LaTeX Go Unit Weight of Soil = Weight of Prism/(Depth of Prism*Inclined Length*cos((Angle of Inclination)))

Weight of Soil Prism in Stability Analysis

LaTeX Go Weight of Prism = (Unit Weight of Soil*Depth of Prism*Inclined Length*cos((Angle of Inclination)))

Depth of Prism given Weight of Soil Prism

LaTeX Go Depth of Prism = Weight of Prism/(Unit Weight of Soil*Inclined Length*cos((Angle of Inclination)))

Unit Weight of Soil given Factor of Safety for Cohesive Soil Formula

LaTeX Go

What is Unit Weight of Soil?

The mass of solid particles is usually expressed in terms of their particle unit weight or specific gravity (Gs) of the soil grain solids . For most inorganic soils, the value of Gs lies between 2.60 and 2.80.

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

Unit Weight of Soil given Factor of Safety for Cohesive Soil calculator uses Unit Weight of Soil = Cohesion of Soil/((Factor of Safety-(tan((Angle of Internal Friction*pi)/180)/tan((Angle of Inclination*pi)/180)))*Depth of Prism*cos((Angle of Inclination*pi)/180)*sin((Angle of Inclination*pi)/180)) to calculate the Unit Weight of Soil, The Unit Weight of Soil given Factor of Safety for Cohesive Soil is defined as the weight per unit volume, adjusted for safety, in cohesive soil to ensure stability in construction. Unit Weight of Soil is denoted by γ symbol.

How to calculate Unit Weight of Soil given Factor of Safety for Cohesive Soil using this online calculator? To use this online calculator for Unit Weight of Soil given Factor of Safety for Cohesive Soil, enter Cohesion of Soil (c), Factor of Safety (f_s), Angle of Internal Friction (φ), Angle of Inclination (I) & Depth of Prism (z) and hit the calculate button. Here is how the Unit Weight of Soil given Factor of Safety for Cohesive Soil calculation can be explained with given input values -> 0.018449 = 3010/((2.8-(tan((0.802851455917241*pi)/180)/tan((1.3962634015952*pi)/180)))*3*cos((1.3962634015952*pi)/180)*sin((1.3962634015952*pi)/180)).

FAQ

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

The Unit Weight of Soil given Factor of Safety for Cohesive Soil is defined as the weight per unit volume, adjusted for safety, in cohesive soil to ensure stability in construction and is represented as γ = c/((f_s-(tan((φ*pi)/180)/tan((I*pi)/180)))*z*cos((I*pi)/180)*sin((I*pi)/180)) or Unit Weight of Soil = Cohesion of Soil/((Factor of Safety-(tan((Angle of Internal Friction*pi)/180)/tan((Angle of Inclination*pi)/180)))*Depth of Prism*cos((Angle of Inclination*pi)/180)*sin((Angle of Inclination*pi)/180)). 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, Factor of Safety expresses how much stronger a system is than it needs to be for an intended load, Angle of Internal Friction is the angle measured between the normal force and resultant force , Angle of Inclination is defined as the angle measured from the horizontal surface of the wall or any object & Depth of Prism is the length of prism along z direction.

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

The Unit Weight of Soil given Factor of Safety for Cohesive Soil is defined as the weight per unit volume, adjusted for safety, in cohesive soil to ensure stability in construction is calculated using Unit Weight of Soil = Cohesion of Soil/((Factor of Safety-(tan((Angle of Internal Friction*pi)/180)/tan((Angle of Inclination*pi)/180)))*Depth of Prism*cos((Angle of Inclination*pi)/180)*sin((Angle of Inclination*pi)/180)). To calculate Unit Weight of Soil given Factor of Safety for Cohesive Soil, you need Cohesion of Soil (c), Factor of Safety (f_s), Angle of Internal Friction (φ), Angle of Inclination (I) & Depth of Prism (z). With our tool, you need to enter the respective value for Cohesion of Soil, Factor of Safety, Angle of Internal Friction, Angle of Inclination & Depth of Prism 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 Unit Weight of Soil?

In this formula, Unit Weight of Soil uses Cohesion of Soil, Factor of Safety, Angle of Internal Friction, Angle of Inclination & Depth of Prism. We can use 2 other way(s) to calculate the same, which is/are as follows -

Unit Weight of Soil = Weight of Prism/(Depth of Prism*Inclined Length*cos((Angle of Inclination)))
Unit Weight of Soil = Vertical Stress at a Point in Pascal/(Depth of Prism*cos((Angle of Inclination)))

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