Factor of Safety given Sum of Tangential Component Calculator

✖Unit Cohesion is the shear strength property of a soil that is solely attributed to cohesive forces between soil particles.ⓘ Unit Cohesion [c_u]			+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%
✖Angle of Internal Friction is the angle measured between the normal force and resultant force.ⓘ Angle of Internal Friction [φ]			+10% -10%
✖Sum of All Tangential Component in Soil Mechanics means total tangential component.ⓘ Sum of All Tangential Component in Soil Mechanics [F_t]			+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 given Sum of Tangential Component [f_s]

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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
f_s = ((c_u*L^')+(ΣN*tan((φ*pi)/180)))/F_t
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

f_s = ((c_u*L^')+(ΣN*tan((φ*pi)/180)))/F_t --> ((10*3.0001)+(5.01*tan((0.173311194723004*pi)/180)))/11

Evaluating ... ...

f_s = 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 00.004 seconds)

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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< The Swedish Slip Circle Method Calculators

Radial Distance from Center of Rotation given Length of Slip Arc

LaTeX Go Radial Distance = (360*Length of Slip Arc)/(2*pi*Arc Angle*(180/pi))

Arc Angle given Length of Slip Arc

LaTeX Go Arc Angle = (360*Length of Slip Arc)/(2*pi*Radial Distance)*(pi/180)

Moment of Resistance given Factor of Safety

LaTeX Go Moment of Resistance with Factor of Safety = Factor of Safety*Driving Moment

Driving Moment given Factor of Safety

LaTeX Go Driving Moment = Resisting Moment/Factor of Safety

Factor of Safety given Sum of Tangential Component Formula

LaTeX Go

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 f_s 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 (c_u), Length of Slip Arc (L^'), Sum of all Normal Component (ΣN), Angle of Internal Friction (φ) & Sum of All Tangential Component in Soil Mechanics (F_t) 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 f_s = ((c_u*L^')+(ΣN*tan((φ*pi)/180)))/F_t 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 (c_u), Length of Slip Arc (L^'), Sum of all Normal Component (ΣN), Angle of Internal Friction (φ) & Sum of All Tangential Component in Soil Mechanics (F_t). 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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