Factor of Safety of Earth Dam Calculator

✖Effective Cohesion is the cohesive strength of soil that is attributed to the soil's inherent properties, such as chemical bonding and other physicochemical forces between soil particles.ⓘ Effective Cohesion [c']			+10% -10%
✖Length of Slip Arc is the length of the arc formed by slip circle.ⓘ Length of Slip Arc [L^']			+10% -10%
✖Sum of all Normal Component means total normal force on slip circle.ⓘ Sum of all Normal Component [ΣN]			+10% -10%
✖Total Pore Pressure is the total pressure of the fluid in the pore space of the rock, when it exceeds the hydrostatic pressure, over pressure situation occurs.ⓘ Total Pore Pressure [ΣU]			+10% -10%
✖Effective Angle of Internal Friction is the shear strength of soil due to the friction between soil particles when subjected to effective stress.ⓘ Effective Angle of Internal Friction [φ']			+10% -10%
✖Sum of all Tangential Component means total tangential component.ⓘ Sum of all Tangential Component [ΣT]			+10% -10%

✖Factor of Safety is a measure of the load-carrying capacity of a structure or material compared to the actual load or stress that is applied to it.ⓘ Factor of Safety of Earth Dam [f_s]

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Factor of Safety of Earth Dam Solution

STEP 0: Pre-Calculation Summary

Formula Used

Factor of Safety = ((Effective Cohesion*Length of Slip Arc)+((Sum of all Normal Component-Total Pore Pressure)*tan((Effective Angle of Internal Friction*pi)/180)))/Sum of all Tangential Component
f_s = ((c'*L^')+((ΣN-ΣU)*tan((φ'*pi)/180)))/ΣT
This formula uses 1 Constants, 1 Functions, 7 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 - Factor of Safety is a measure of the load-carrying capacity of a structure or material compared to the actual load or stress that is applied to it.
Effective Cohesion - (Measured in Pascal) - Effective Cohesion is the cohesive strength of soil that is attributed to the soil's inherent properties, such as chemical bonding and other physicochemical forces between soil particles.
Length of Slip Arc - (Measured in Meter) - Length of Slip Arc is the length of the arc formed by slip circle.
Sum of all Normal Component - (Measured in Newton) - Sum of all Normal Component means total normal force on slip circle.
Total Pore Pressure - (Measured in Newton) - Total Pore Pressure is the total pressure of the fluid in the pore space of the rock, when it exceeds the hydrostatic pressure, over pressure situation occurs.
Effective Angle of Internal Friction - (Measured in Radian) - Effective Angle of Internal Friction is the shear strength of soil due to the friction between soil particles when subjected to effective stress.
Sum of all Tangential Component - (Measured in Newton) - Sum of all Tangential Component means total tangential component.

STEP 1: Convert Input(s) to Base Unit

Effective Cohesion: 4.64 Pascal --> 4.64 Pascal No Conversion Required
Length of Slip Arc: 3.0001 Meter --> 3.0001 Meter No Conversion Required
Sum of all Normal Component: 5.01 Newton --> 5.01 Newton No Conversion Required
Total Pore Pressure: 2 Newton --> 2 Newton No Conversion Required
Effective Angle of Internal Friction: 9.99 Degree --> 0.174358392274201 Radian (Check conversion here)
Sum of all Tangential Component: 4.98 Newton --> 4.98 Newton No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

f_s = ((c'*L^')+((ΣN-ΣU)*tan((φ'*pi)/180)))/ΣT --> ((4.64*3.0001)+((5.01-2)*tan((0.174358392274201*pi)/180)))/4.98

Evaluating ... ...

f_s = 2.79711322161176

STEP 3: Convert Result to Output's Unit

2.79711322161176 --> No Conversion Required

FINAL ANSWER

2.79711322161176 ≈ 2.797113 <-- Factor of Safety

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Geotechnical Engineering » Stability of Slopes In Earthen Dams » Factor of Safety of Earth Dam

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

Suraj Kumar has created this Calculator and 2100+ more calculators!

Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

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< Stability of Slopes In Earthen Dams Calculators

Sum of All Tangential Component given Factor of Safety of Earth Dam

LaTeX Go Sum of all Tangential Component = ((Effective Cohesion*Length of Slip Arc)+((Sum of all Normal Component-Total Pore Pressure)*tan((Effective Angle of Internal Friction*pi)/180)))/Factor of Safety

Length of Slip Circle given Factor of Safety of Earth Dam

LaTeX Go Length of Slip Arc = ((Factor of Safety*Sum of all Tangential Component)-((Sum of all Normal Component-Total Pore Pressure)*tan((Effective Angle of Internal Friction*pi)/180)))/Effective Cohesion

Effective Cohesion given Factor of Safety of Earth Dam

LaTeX Go Effective Cohesion = ((Factor of Safety*Sum of all Tangential Component)-((Sum of all Normal Component-Total Pore Pressure)*tan((Effective Angle of Internal Friction*pi)/180)))/Length of Slip Arc

Factor of Safety of Earth Dam

LaTeX Go Factor of Safety = ((Effective Cohesion*Length of Slip Arc)+((Sum of all Normal Component-Total Pore Pressure)*tan((Effective Angle of Internal Friction*pi)/180)))/Sum of all Tangential Component

Factor of Safety of Earth Dam 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 of Earth Dam?

Factor of Safety of Earth Dam calculator uses Factor of Safety = ((Effective Cohesion*Length of Slip Arc)+((Sum of all Normal Component-Total Pore Pressure)*tan((Effective Angle of Internal Friction*pi)/180)))/Sum of all Tangential Component to calculate the Factor of Safety, The Factor of Safety of Earth Dam formula is defined as ratio of ultimate stress and working stress. It is also called as factor of ignorance. The factor of safety is dependent on the type of load. Factor of Safety is denoted by f_s symbol.

How to calculate Factor of Safety of Earth Dam using this online calculator? To use this online calculator for Factor of Safety of Earth Dam, enter Effective Cohesion (c'), Length of Slip Arc (L^'), Sum of all Normal Component (ΣN), Total Pore Pressure (ΣU), Effective Angle of Internal Friction (φ') & Sum of all Tangential Component (ΣT) and hit the calculate button. Here is how the Factor of Safety of Earth Dam calculation can be explained with given input values -> 1.734851 = ((4.64*3.0001)+((5.01-2)*tan((0.174358392274201*pi)/180)))/4.98.

FAQ

What is Factor of Safety of Earth Dam?

The Factor of Safety of Earth Dam formula is defined as ratio of ultimate stress and working stress. It is also called as factor of ignorance. The factor of safety is dependent on the type of load and is represented as f_s = ((c'*L^')+((ΣN-ΣU)*tan((φ'*pi)/180)))/ΣT or Factor of Safety = ((Effective Cohesion*Length of Slip Arc)+((Sum of all Normal Component-Total Pore Pressure)*tan((Effective Angle of Internal Friction*pi)/180)))/Sum of all Tangential Component. Effective Cohesion is the cohesive strength of soil that is attributed to the soil's inherent properties, such as chemical bonding and other physicochemical forces between soil particles, Length of Slip Arc is the length of the arc formed by slip circle, Sum of all Normal Component means total normal force on slip circle, Total Pore Pressure is the total pressure of the fluid in the pore space of the rock, when it exceeds the hydrostatic pressure, over pressure situation occurs, Effective Angle of Internal Friction is the shear strength of soil due to the friction between soil particles when subjected to effective stress & Sum of all Tangential Component means total tangential component.

How to calculate Factor of Safety of Earth Dam?

The Factor of Safety of Earth Dam formula is defined as ratio of ultimate stress and working stress. It is also called as factor of ignorance. The factor of safety is dependent on the type of load is calculated using Factor of Safety = ((Effective Cohesion*Length of Slip Arc)+((Sum of all Normal Component-Total Pore Pressure)*tan((Effective Angle of Internal Friction*pi)/180)))/Sum of all Tangential Component. To calculate Factor of Safety of Earth Dam, you need Effective Cohesion (c'), Length of Slip Arc (L^'), Sum of all Normal Component (ΣN), Total Pore Pressure (ΣU), Effective Angle of Internal Friction (φ') & Sum of all Tangential Component (ΣT). With our tool, you need to enter the respective value for Effective Cohesion, Length of Slip Arc, Sum of all Normal Component, Total Pore Pressure, Effective Angle of Internal Friction & Sum of all Tangential Component 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 this formula, Factor of Safety uses Effective Cohesion, Length of Slip Arc, Sum of all Normal Component, Total Pore Pressure, Effective Angle of Internal Friction & Sum of all Tangential Component. We can use 1 other way(s) to calculate the same, which is/are as follows -

Factor of Safety = ((Effective Cohesion*Length of Slip Arc)+(Sum of all Normal Component*tan((Effective Angle of Internal Friction*pi)/180)))/Sum of all Tangential Component

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