Saturated Unit Weight given Factor of Safety Calculator

✖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 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%
✖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%
✖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%

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

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Saturated Unit Weight given Factor of Safety Solution

STEP 0: Pre-Calculation Summary

Formula Used

Saturated Unit Weight of Soil = (Submerged Unit Weight in KN per Cubic Meter*tan((Angle of Internal Friction of Soil*pi)/180))/(Factor of Safety in Soil Mechanics*tan((Angle of Inclination to Horizontal in Soil*pi)/180))
γ_saturated = (y_S*tan((Φ_i*pi)/180))/(F_s*tan((i*pi)/180))
This formula uses 1 Constants, 1 Functions, 5 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

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)

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

STEP 1: Convert Input(s) to Base Unit

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 of Soil: 82.87 Degree --> 1.44635435112743 Radian (Check conversion here)
Factor of Safety in Soil Mechanics: 2.8 --> No Conversion Required
Angle of Inclination to Horizontal in Soil: 64 Degree --> 1.11701072127616 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

γ_saturated = (y_S*tan((Φ_i*pi)/180))/(F_s*tan((i*pi)/180)) --> (5000*tan((1.44635435112743*pi)/180))/(2.8*tan((1.11701072127616*pi)/180))

Evaluating ... ...

γ_saturated = 2312.41924632733

STEP 3: Convert Result to Output's Unit

2312.41924632733 Newton per Cubic Meter -->2.31241924632733 Kilonewton per Cubic Meter (Check conversion here)

FINAL ANSWER

2.31241924632733 ≈ 2.312419 Kilonewton per Cubic Meter <-- Saturated Unit Weight of Soil

(Calculation completed in 00.004 seconds)

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

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< Factor of Steady Seepage Along the Slope Calculators

Depth of Prism given Saturated Unit Weight

LaTeX Go Depth of Prism = Weight of Prism in Soil Mechanics/(Saturated Unit Weight in Newton per Cubic Meter*Inclined Length of Prism*cos((Angle of Inclination to Horizontal in Soil*pi)/180))

Saturated Unit Weight given Weight of Soil Prism

LaTeX Go Saturated Unit Weight of Soil = Weight of Prism in Soil Mechanics/(Depth of Prism*Inclined Length of Prism*cos((Angle of Inclination to Horizontal in Soil*pi)/180))

Saturated Unit Weight given Vertical Stress on Prism

LaTeX Go Saturated Unit Weight of Soil = Vertical Stress at a Point in Kilopascal/(Depth of Prism*cos((Angle of Inclination to Horizontal in Soil*pi)/180))

Angle of Inclination given Saturated Unit Weight

LaTeX Go Angle of Inclination to Horizontal in Soil = acos(Weight of Prism in Soil Mechanics/(Unit Weight of Soil*Depth of Prism*Inclined Length of Prism))

Saturated Unit Weight given Factor of Safety 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?

Saturated Unit Weight given Factor of Safety calculator uses Saturated Unit Weight of Soil = (Submerged Unit Weight in KN per Cubic Meter*tan((Angle of Internal Friction of Soil*pi)/180))/(Factor of Safety in Soil Mechanics*tan((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 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 using this online calculator? To use this online calculator for Saturated Unit Weight given Factor of Safety, enter Submerged Unit Weight in KN per Cubic Meter (y_S), Angle of Internal Friction of Soil (Φ_i), Factor of Safety in Soil Mechanics (F_s) & Angle of Inclination to Horizontal in Soil (i) and hit the calculate button. Here is how the Saturated Unit Weight given Factor of Safety calculation can be explained with given input values -> 0.002312 = (5000*tan((1.44635435112743*pi)/180))/(2.8*tan((1.11701072127616*pi)/180)).

FAQ

What is Saturated Unit Weight given Factor of Safety?

The Saturated Unit Weight given Factor of Safety is defined as the value of saturated unit weight when we have prior information of other parameters used and is represented as γ_saturated = (y_S*tan((Φ_i*pi)/180))/(F_s*tan((i*pi)/180)) or Saturated Unit Weight of Soil = (Submerged Unit Weight in KN per Cubic Meter*tan((Angle of Internal Friction of Soil*pi)/180))/(Factor of Safety in Soil Mechanics*tan((Angle of Inclination to Horizontal in Soil*pi)/180)). 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 of Soil is is a measure of the shear strength of soil due to friction, Factor of Safety in Soil Mechanics expresses how much stronger a system is than it needs to be for an intended load & Angle of Inclination to Horizontal in Soil is defined as the angle measured from the horizontal surface of the wall or any object.

How to calculate Saturated Unit Weight given Factor of Safety?

The Saturated Unit Weight given Factor of Safety 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 = (Submerged Unit Weight in KN per Cubic Meter*tan((Angle of Internal Friction of Soil*pi)/180))/(Factor of Safety in Soil Mechanics*tan((Angle of Inclination to Horizontal in Soil*pi)/180)). To calculate Saturated Unit Weight given Factor of Safety, you need Submerged Unit Weight in KN per Cubic Meter (y_S), Angle of Internal Friction of Soil (Φ_i), Factor of Safety in Soil Mechanics (F_s) & Angle of Inclination to Horizontal in Soil (i). With our tool, you need to enter the respective value for Submerged Unit Weight in KN per Cubic Meter, Angle of Internal Friction of Soil, Factor of Safety in Soil Mechanics & Angle of Inclination to Horizontal in 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 Saturated Unit Weight of Soil?

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

Saturated Unit Weight of Soil = Weight of Prism in Soil Mechanics/(Depth of Prism*Inclined Length of Prism*cos((Angle of Inclination to Horizontal in Soil*pi)/180))
Saturated Unit Weight of Soil = Vertical Stress at a Point in Kilopascal/(Depth of Prism*cos((Angle of Inclination to Horizontal in Soil*pi)/180))
Saturated Unit Weight of Soil = Normal Stress in Soil Mechanics/(Depth of Prism*(cos((Angle of Inclination to Horizontal in Soil*pi)/180))^2)

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