Sum of All Tangential Component given 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%
✖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 [f_s]			+10% -10%

✖Sum of all Tangential Component means total tangential component.ⓘ Sum of All Tangential Component given Factor of Safety of Earth Dam [ΣT]

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Formula

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

Formula

ΣT = \frac{(c' \cdot L') + ((ΣN - ΣU) \cdot \tan (\frac{φ' \cdot π}{180}))}{f s}

Example

4.974866 N = \frac{(4.64 Pa \cdot 3.0001 m) + ((5.01 N - 2 N) \cdot \tan (\frac{9.99 ° \cdot π}{180}))}{2.8}

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

STEP 0: Pre-Calculation Summary

Formula Used

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
ΣT = ((c'*L^')+((ΣN-ΣU)*tan((φ'*pi)/180)))/f_s
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

Sum of all Tangential Component - (Measured in Newton) - Sum of all Tangential Component means total tangential component.
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.
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.

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)
Factor of Safety: 2.8 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ΣT = ((c'*L^')+((ΣN-ΣU)*tan((φ'*pi)/180)))/f_s --> ((4.64*3.0001)+((5.01-2)*tan((0.174358392274201*pi)/180)))/2.8

Evaluating ... ...

ΣT = 4.97486565843806

STEP 3: Convert Result to Output's Unit

4.97486565843806 Newton --> No Conversion Required

FINAL ANSWER

4.97486565843806 ≈ 4.974866 Newton <-- Sum of all Tangential Component

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Geotechnical Engineering » Stability of Slopes In Earthen Dams » Sum of All Tangential Component given Factor of Safety of Earth Dam

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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 of Slopes In Earthen Dams Calculators

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

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

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

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

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

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

What is Tangential Force?

Tangential force is defined as the force acting on a moving body in the direction of the tangent to the curved path of the body. If the velocity of the object is positive, the acceleration will be negative.

How to Calculate Sum of All Tangential Component given Factor of Safety of Earth Dam?

Sum of All Tangential Component given Factor of Safety of Earth Dam calculator uses 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 to calculate the Sum of all Tangential Component, The Sum of All Tangential Component given Factor of Safety of Earth Dam is defined as the value of total tangential component when we have prior information of factor of safety of earth dam. Sum of all Tangential Component is denoted by ΣT symbol.

How to calculate Sum of All Tangential Component given Factor of Safety of Earth Dam using this online calculator? To use this online calculator for Sum of All Tangential Component given 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') & Factor of Safety (f_s) and hit the calculate button. Here is how the Sum of All Tangential Component given Factor of Safety of Earth Dam calculation can be explained with given input values -> 3.085557 = ((4.64*3.0001)+((5.01-2)*tan((0.174358392274201*pi)/180)))/2.8.

FAQ

What is Sum of All Tangential Component given Factor of Safety of Earth Dam?

The Sum of All Tangential Component given Factor of Safety of Earth Dam is defined as the value of total tangential component when we have prior information of factor of safety of earth dam and is represented as ΣT = ((c'*L^')+((ΣN-ΣU)*tan((φ'*pi)/180)))/f_s or 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. 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 & 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.

How to calculate Sum of All Tangential Component given Factor of Safety of Earth Dam?

The Sum of All Tangential Component given Factor of Safety of Earth Dam is defined as the value of total tangential component when we have prior information of factor of safety of earth dam is calculated using 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. To calculate Sum of All Tangential Component given 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') & Factor of Safety (f_s). 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 & Factor of Safety 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 Sum of all Tangential Component?

In this formula, Sum of all Tangential Component uses Effective Cohesion, Length of Slip Arc, Sum of all Normal Component, Total Pore Pressure, Effective Angle of Internal Friction & Factor of Safety. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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