Sum of Tangential Component given Factor of Safety 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%
✖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 in Soil Mechanics means total tangential component.ⓘ Sum of Tangential Component given Factor of Safety [F_t]

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Sum of Tangential Component given Factor of Safety Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Sum of All Tangential Component in Soil Mechanics - (Measured in Newton) - Sum of All Tangential Component in Soil Mechanics means total tangential component.
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.
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

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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

F_t = ((c_u*L^')+(ΣN*tan((φ*pi)/180)))/f_s --> ((10*3.0001)+(5.01*tan((0.173311194723004*pi)/180)))/2.8

Evaluating ... ...

F_t = 10.7200551962936

STEP 3: Convert Result to Output's Unit

10.7200551962936 Newton --> No Conversion Required

FINAL ANSWER

10.7200551962936 ≈ 10.72006 Newton <-- Sum of All Tangential Component in Soil Mechanics

(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

Sum of Tangential Component given Factor of Safety Formula

LaTeX Go

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 Tangential Component given Factor of Safety?

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

How to calculate Sum of Tangential Component given Factor of Safety using this online calculator? To use this online calculator for Sum of Tangential Component given Factor of Safety, enter Unit Cohesion (c_u), Length of Slip Arc (L^'), Sum of all Normal Component (ΣN), Angle of Internal Friction (φ) & Factor of Safety (f_s) and hit the calculate button. Here is how the Sum of Tangential Component given Factor of Safety calculation can be explained with given input values -> 10.72006 = ((10*3.0001)+(5.01*tan((0.173311194723004*pi)/180)))/2.8.

FAQ

What is Sum of Tangential Component given Factor of Safety?

The Sum of Tangential Component given Factor of Safety formula is defined as the ratio of allowable stress to actual stress; Sum of tangential component ensures stability and safety and is represented as F_t = ((c_u*L^')+(ΣN*tan((φ*pi)/180)))/f_s or Sum of All Tangential Component in Soil Mechanics = ((Unit Cohesion*Length of Slip Arc)+(Sum of all Normal Component*tan((Angle of Internal Friction*pi)/180)))/Factor of Safety. 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 & 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 Tangential Component given Factor of Safety?

The Sum of Tangential Component given Factor of Safety formula is defined as the ratio of allowable stress to actual stress; Sum of tangential component ensures stability and safety is calculated using Sum of All Tangential Component in Soil Mechanics = ((Unit Cohesion*Length of Slip Arc)+(Sum of all Normal Component*tan((Angle of Internal Friction*pi)/180)))/Factor of Safety. To calculate Sum of Tangential Component given Factor of Safety, you need Unit Cohesion (c_u), Length of Slip Arc (L^'), Sum of all Normal Component (ΣN), Angle of Internal Friction (φ) & Factor of Safety (f_s). 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 & 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 Soil Mechanics?

In this formula, Sum of All Tangential Component in Soil Mechanics uses Unit Cohesion, Length of Slip Arc, Sum of all Normal Component, 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 in Soil Mechanics = Driving Moment/Radius of Slip Circle

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