Factor of Safety given Submerged Unit Weight 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%
✖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%

✖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 given Submerged Unit Weight [F_s]

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Factor of Safety given Submerged Unit Weight Solution

STEP 0: Pre-Calculation Summary

Formula Used

Factor of Safety in Soil Mechanics = (Submerged Unit Weight in KN per Cubic Meter*tan((Angle of Internal Friction of Soil*pi)/180))/(Saturated Unit Weight of Soil*tan((Angle of Inclination to Horizontal in Soil*pi)/180))
F_s = (y_S*tan((Φ_i*pi)/180))/(γ_saturated*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

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.
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.
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.

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)
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)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

F_s = (y_S*tan((Φ_i*pi)/180))/(γ_saturated*tan((i*pi)/180)) --> (5000*tan((1.44635435112743*pi)/180))/(11890*tan((1.11701072127616*pi)/180))

Evaluating ... ...

F_s = 0.544556256494241

STEP 3: Convert Result to Output's Unit

0.544556256494241 --> No Conversion Required

FINAL ANSWER

0.544556256494241 ≈ 0.544556 <-- Factor of Safety in Soil Mechanics

(Calculation completed in 00.020 seconds)

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Created by Suraj Kumar

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)

Factor of Safety given Submerged Unit Weight Formula

LaTeX Go

What is Factor of Safety?

The ratio of a structure's absolute strength (structural capability) to actual applied load; this is a measure of the reliability of a particular design.

How to Calculate Factor of Safety given Submerged Unit Weight?

Factor of Safety given Submerged Unit Weight calculator uses Factor of Safety in Soil Mechanics = (Submerged Unit Weight in KN per Cubic Meter*tan((Angle of Internal Friction of Soil*pi)/180))/(Saturated Unit Weight of Soil*tan((Angle of Inclination to Horizontal in Soil*pi)/180)) to calculate the Factor of Safety in Soil Mechanics, The Factor of Safety given Submerged Unit Weight is defined as the value of factor of safety when we have prior information of other parameters used. Factor of Safety in Soil Mechanics is denoted by F_s symbol.

How to calculate Factor of Safety given Submerged Unit Weight using this online calculator? To use this online calculator for Factor of Safety given Submerged Unit Weight, enter Submerged Unit Weight in KN per Cubic Meter (y_S), Angle of Internal Friction of Soil (Φ_i), Saturated Unit Weight of Soil (γ_saturated) & Angle of Inclination to Horizontal in Soil (i) and hit the calculate button. Here is how the Factor of Safety given Submerged Unit Weight calculation can be explained with given input values -> 0.544556 = (5000*tan((1.44635435112743*pi)/180))/(11890*tan((1.11701072127616*pi)/180)).

FAQ

What is Factor of Safety given Submerged Unit Weight?

The Factor of Safety given Submerged Unit Weight is defined as the value of factor of safety when we have prior information of other parameters used and is represented as F_s = (y_S*tan((Φ_i*pi)/180))/(γ_saturated*tan((i*pi)/180)) or Factor of Safety in Soil Mechanics = (Submerged Unit Weight in KN per Cubic Meter*tan((Angle of Internal Friction of Soil*pi)/180))/(Saturated Unit Weight of Soil*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, 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.

How to calculate Factor of Safety given Submerged Unit Weight?

The Factor of Safety given Submerged Unit Weight is defined as the value of factor of safety when we have prior information of other parameters used is calculated using Factor of Safety in Soil Mechanics = (Submerged Unit Weight in KN per Cubic Meter*tan((Angle of Internal Friction of Soil*pi)/180))/(Saturated Unit Weight of Soil*tan((Angle of Inclination to Horizontal in Soil*pi)/180)). To calculate Factor of Safety given Submerged Unit Weight, you need Submerged Unit Weight in KN per Cubic Meter (y_S), Angle of Internal Friction of Soil (Φ_i), Saturated Unit Weight of Soil (γ_saturated) & 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, Saturated Unit Weight of Soil & 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 Factor of Safety in Soil Mechanics?

In this formula, Factor of Safety in Soil Mechanics uses Submerged Unit Weight in KN per Cubic Meter, Angle of Internal Friction of Soil, Saturated Unit Weight of Soil & Angle of Inclination to Horizontal in Soil. We can use 2 other way(s) to calculate the same, which is/are as follows -

Factor of Safety in Soil Mechanics = (Effective Normal Stress in Soil Mechanics*tan((Angle of Internal Friction*pi)/180))/Shear Stress in Soil Mechanics
Factor of Safety in Soil Mechanics = (Effective Cohesion+(Submerged Unit Weight*Depth of Prism*tan((Angle of Internal Friction))*(cos((Angle of Inclination to Horizontal in Soil)))^2))/(Saturated Unit Weight in Newton per Cubic Meter*Depth of Prism*cos((Angle of Inclination to Horizontal in Soil))*sin((Angle of Inclination to Horizontal in Soil)))

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