Factor of Safety given Sum of Tangential Component Solution

STEP 0: Pre-Calculation Summary
Formula Used
Factor of Safety = ((Unit Cohesion*Length of Slip Arc)+(Sum of all Normal Component*tan((Angle of Internal Friction*pi)/180)))/Sum of All Tangential Component in Soil Mechanics
fs = ((cu*L')+(ΣN*tan((φ*pi)/180)))/Ft
This formula uses 1 Constants, 1 Functions, 6 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.
Unit Cohesion - (Measured in Pascal) - Unit Cohesion is the shear strength property of a soil that is solely attributed to cohesive 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.
Angle of Internal Friction - (Measured in Radian) - Angle of Internal Friction is the angle measured between the normal force and resultant force.
Sum of All Tangential Component in Soil Mechanics - (Measured in Newton) - Sum of All Tangential Component in Soil Mechanics means total tangential component.
STEP 1: Convert Input(s) to Base Unit
Unit Cohesion: 10 Pascal --> 10 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
Angle of Internal Friction: 9.93 Degree --> 0.173311194723004 Radian (Check conversion ​here)
Sum of All Tangential Component in Soil Mechanics: 11 Newton --> 11 Newton No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
fs = ((cu*L')+(ΣN*tan((φ*pi)/180)))/Ft --> ((10*3.0001)+(5.01*tan((0.173311194723004*pi)/180)))/11
Evaluating ... ...
fs = 2.72874132269293
STEP 3: Convert Result to Output's Unit
2.72874132269293 --> No Conversion Required
FINAL ANSWER
2.72874132269293 2.728741 <-- Factor of Safety
(Calculation completed in 00.020 seconds)

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Created by Suraj Kumar
Birsa Institute of Technology (BIT), Sindri
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Factor of Safety given Sum of Tangential Component Formula

​LaTeX ​Go
Factor of Safety = ((Unit Cohesion*Length of Slip Arc)+(Sum of all Normal Component*tan((Angle of Internal Friction*pi)/180)))/Sum of All Tangential Component in Soil Mechanics
fs = ((cu*L')+(ΣN*tan((φ*pi)/180)))/Ft

What is Factor of Safety?

The factor of safety is the structural capacity of a system which determines the load-carrying capacity beyond its actual load. In other words, how strong the system is then what is actually required is called factor of safety.

How to Calculate Factor of Safety given Sum of Tangential Component?

Factor of Safety given Sum of Tangential Component calculator uses Factor of Safety = ((Unit Cohesion*Length of Slip Arc)+(Sum of all Normal Component*tan((Angle of Internal Friction*pi)/180)))/Sum of All Tangential Component in Soil Mechanics to calculate the Factor of Safety, The Factor of Safety given Sum of Tangential Component formula is defined as the ratio of allowable stress to the sum of tangential components to ensure structural stability. Factor of Safety is denoted by fs symbol.

How to calculate Factor of Safety given Sum of Tangential Component using this online calculator? To use this online calculator for Factor of Safety given Sum of Tangential Component, enter Unit Cohesion (cu), Length of Slip Arc (L'), Sum of all Normal Component (ΣN), Angle of Internal Friction (φ) & Sum of All Tangential Component in Soil Mechanics (Ft) and hit the calculate button. Here is how the Factor of Safety given Sum of Tangential Component calculation can be explained with given input values -> 2.728741 = ((10*3.0001)+(5.01*tan((0.173311194723004*pi)/180)))/11.

FAQ

What is Factor of Safety given Sum of Tangential Component?
The Factor of Safety given Sum of Tangential Component formula is defined as the ratio of allowable stress to the sum of tangential components to ensure structural stability and is represented as fs = ((cu*L')+(ΣN*tan((φ*pi)/180)))/Ft or Factor of Safety = ((Unit Cohesion*Length of Slip Arc)+(Sum of all Normal Component*tan((Angle of Internal Friction*pi)/180)))/Sum of All Tangential Component in Soil Mechanics. Unit Cohesion is the shear strength property of a soil that is solely attributed to cohesive 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, Angle of Internal Friction is the angle measured between the normal force and resultant force & Sum of All Tangential Component in Soil Mechanics means total tangential component.
How to calculate Factor of Safety given Sum of Tangential Component?
The Factor of Safety given Sum of Tangential Component formula is defined as the ratio of allowable stress to the sum of tangential components to ensure structural stability is calculated using Factor of Safety = ((Unit Cohesion*Length of Slip Arc)+(Sum of all Normal Component*tan((Angle of Internal Friction*pi)/180)))/Sum of All Tangential Component in Soil Mechanics. To calculate Factor of Safety given Sum of Tangential Component, you need Unit Cohesion (cu), Length of Slip Arc (L'), Sum of all Normal Component (ΣN), Angle of Internal Friction (φ) & Sum of All Tangential Component in Soil Mechanics (Ft). With our tool, you need to enter the respective value for Unit Cohesion, Length of Slip Arc, Sum of all Normal Component, Angle of Internal Friction & Sum of All Tangential Component in Soil Mechanics 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 Unit Cohesion, Length of Slip Arc, Sum of all Normal Component, Angle of Internal Friction & Sum of All Tangential Component in Soil Mechanics. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Factor of Safety = Resisting Moment/Driving Moment
  • Factor of Safety = (Unit Cohesion*Length of Slip Arc with Factor of Safety*Radial Distance)/(Weight of Body in Newtons*Distance between LOA and COR)
  • Factor of Safety = Unit Cohesion/Mobilized Shear Resistance of Soil
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