Normal Component given Resisting Force from Coulomb's Equation Solution

STEP 0: Pre-Calculation Summary
Formula Used
Normal Component of Force in Soil Mechanics = (Resisting force in Soil Mechanics-(Unit Cohesion*Curve Length))/tan((Angle of Internal Friction of Soil))
FN = (FR-(cu*ΔL))/tan((Φi))
This formula uses 1 Functions, 5 Variables
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
Normal Component of Force in Soil Mechanics - (Measured in Newton) - Normal Component of Force in Soil Mechanics is the perpendicular component of force.
Resisting force in Soil Mechanics - (Measured in Newton) - Resisting force in Soil Mechanics is a force, or the vector sum of numerous forces, whose direction is opposite to the motion of a body.
Unit Cohesion - (Measured in Pascal) - Unit Cohesion is the force that holds together molecules or like particles within a soil.
Curve Length - (Measured in Meter) - Curve Length is the total extent of a curve, measured along its path, quantifying its spatial reach or boundary span.
Angle of Internal Friction of Soil - (Measured in Radian) - Angle of Internal Friction of Soil is a shear strength parameter of soils.
STEP 1: Convert Input(s) to Base Unit
Resisting force in Soil Mechanics: 31 Newton --> 31 Newton No Conversion Required
Unit Cohesion: 10 Pascal --> 10 Pascal No Conversion Required
Curve Length: 3 Meter --> 3 Meter No Conversion Required
Angle of Internal Friction of Soil: 82.87 Degree --> 1.44635435112743 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
FN = (FR-(cu*ΔL))/tan((Φi)) --> (31-(10*3))/tan((1.44635435112743))
Evaluating ... ...
FN = 0.125088341161441
STEP 3: Convert Result to Output's Unit
0.125088341161441 Newton --> No Conversion Required
FINAL ANSWER
0.125088341161441 0.125088 Newton <-- Normal Component of Force in Soil Mechanics
(Calculation completed in 00.004 seconds)

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25 The Swedish Slip Circle Method Calculators

Sum of Normal Component given Factor of Safety
Go Sum of All Normal Component in Soil Mechanics = ((Factor of Safety*Sum of All Tangential Component in Soil Mechanics)-(Unit Cohesion*Length of Slip Arc))/tan((Angle of Internal Friction of Soil*pi)/180)
Length of Slip Circle given Sum of Tangential Component
Go Length of Slip Arc = ((Factor of Safety*Sum of all Tangential Component)-(Sum of all Normal Component*tan((Angle of Internal Friction*pi)/180)))/Unit Cohesion
Sum of Tangential Component given Factor of Safety
Go Sum of all Tangential Component = ((Unit Cohesion*Length of Slip Arc)+(Sum of all Normal Component*tan((Angle of Internal Friction*pi)/180)))/Factor of Safety
Total Length of Slip Circle given Resisting Moment
Go Length of Slip Arc = ((Resisting Moment/Radius of Slip Circle)-(Sum of all Normal Component*tan((Angle of Internal Friction))))/Unit Cohesion
Sum of Normal Component given Resisting Moment
Go Sum of all Normal Component = ((Resisting Moment/Radius of Slip Circle)-(Unit Cohesion*Length of Slip Arc))/tan((Angle of Internal Friction))
Resisting Moment given Radius of Slip Circle
Go Resisting Moment = Radius of Slip Circle*((Unit Cohesion*Length of Slip Arc)+(Sum of all Normal Component*tan((Angle of Internal Friction))))
Normal Component given Resisting Force from Coulomb's Equation
Go Normal Component of Force in Soil Mechanics = (Resisting force in Soil Mechanics-(Unit Cohesion*Curve Length))/tan((Angle of Internal Friction of Soil))
Resisting Force from Coulomb's Equation
Go Resisting Force = ((Unit Cohesion*Curve Length)+(Normal Component of Force*tan((Angle of Internal Friction))))
Curve Length of Each Slice given Resisting Force from Coulomb's Equation
Go Curve Length = (Resisting Force-(Normal Component of Force*tan((Angle of Internal Friction))))/Unit Cohesion
Radial Distance from Centre of Rotation given Factor of Safety
Go Radial Distance = Factor of Safety/((Unit Cohesion*Length of Slip Arc)/(Weight of Body in Newtons*Distance))
Distance between Line of Action of Weight and Line Passing through Center
Go Distance = (Unit Cohesion*Length of Slip Arc*Radial Distance)/(Weight of Body in Newtons*Factor of Safety)
Distance between Line of Action and Line Passing through Center given Mobilised Cohesion
Go Distance = Mobilised Shear Resistance of Soil/((Weight of Body in Newtons*Radial Distance)/Length of Slip Arc)
Radial Distance from Centre of Rotation given Mobilised Shear resistance of Soil
Go Radial Distance = Mobilised Shear Resistance of Soil/((Weight of Body in Newtons*Distance)/Length of Slip Arc)
Mobilised Shear resistance of Soil given Weight of Soil on Wedge
Go Mobilised Shear Resistance of Soil = (Weight of Body in Newtons*Distance*Radial Distance)/Length of Slip Arc
Radial Distance from Center of Rotation given Length of Slip Arc
Go Radial Distance = (360*Length of Slip Arc)/(2*pi*Arc Angle*(180/pi))
Arc Angle given Length of Slip Arc
Go Arc Angle = (360*Length of Slip Arc)/(2*pi*Radial Distance)*(pi/180)
Radial Distance from Centre of Rotation given Moment of Resistance
Go Radial Distance = Resisting Moment/(Unit Cohesion*Length of Slip Arc)
Moment of Resistance given Unit Cohesion
Go Resisting Moment = (Unit Cohesion*Length of Slip Arc*Radial Distance)
Sum of Tangential Component given Driving Moment
Go Sum of all Tangential Component = Driving Moment/Radius of Slip Circle
Driving Moment given Radius of Slip Circle
Go Driving Moment = Radius of Slip Circle*Sum of all Tangential Component
Mobilised Shear resistance of Soil given Factor of Safety
Go Mobilised Shear Resistance of Soil = Unit Cohesion/Factor of Safety
Distance between Line of Action and Line Passing through Center given Driving Moment
Go Distance = Driving Moment/Weight of Body in Newtons
Driving Moment given Weight of Soil on Wedge
Go Driving Moment = Weight of Body in Newtons*Distance
Moment of Resistance given Factor of Safety
Go Resisting Moment = Factor of Safety*Driving Moment
Driving Moment given Factor of Safety
Go Driving Moment = Resisting Moment/Factor of Safety

Normal Component given Resisting Force from Coulomb's Equation Formula

Normal Component of Force in Soil Mechanics = (Resisting force in Soil Mechanics-(Unit Cohesion*Curve Length))/tan((Angle of Internal Friction of Soil))
FN = (FR-(cu*ΔL))/tan((Φi))

What is Normal Stress?

A normal stress is a stress that occurs when a member is loaded by an axial force. The value of the normal force for any prismatic section is simply the force divided by the cross sectional area.

How to Calculate Normal Component given Resisting Force from Coulomb's Equation?

Normal Component given Resisting Force from Coulomb's Equation calculator uses Normal Component of Force in Soil Mechanics = (Resisting force in Soil Mechanics-(Unit Cohesion*Curve Length))/tan((Angle of Internal Friction of Soil)) to calculate the Normal Component of Force in Soil Mechanics, The Normal Component given Resisting Force from Coulomb's Equation is defined as the value of normal component when we have prior information of other parameters used. Normal Component of Force in Soil Mechanics is denoted by FN symbol.

How to calculate Normal Component given Resisting Force from Coulomb's Equation using this online calculator? To use this online calculator for Normal Component given Resisting Force from Coulomb's Equation, enter Resisting force in Soil Mechanics (FR), Unit Cohesion (cu), Curve Length (ΔL) & Angle of Internal Friction of Soil i) and hit the calculate button. Here is how the Normal Component given Resisting Force from Coulomb's Equation calculation can be explained with given input values -> 0.125088 = (31-(10*3))/tan((1.44635435112743)).

FAQ

What is Normal Component given Resisting Force from Coulomb's Equation?
The Normal Component given Resisting Force from Coulomb's Equation is defined as the value of normal component when we have prior information of other parameters used and is represented as FN = (FR-(cu*ΔL))/tan((Φi)) or Normal Component of Force in Soil Mechanics = (Resisting force in Soil Mechanics-(Unit Cohesion*Curve Length))/tan((Angle of Internal Friction of Soil)). Resisting force in Soil Mechanics is a force, or the vector sum of numerous forces, whose direction is opposite to the motion of a body, Unit Cohesion is the force that holds together molecules or like particles within a soil, Curve Length is the total extent of a curve, measured along its path, quantifying its spatial reach or boundary span & Angle of Internal Friction of Soil is a shear strength parameter of soils.
How to calculate Normal Component given Resisting Force from Coulomb's Equation?
The Normal Component given Resisting Force from Coulomb's Equation is defined as the value of normal component when we have prior information of other parameters used is calculated using Normal Component of Force in Soil Mechanics = (Resisting force in Soil Mechanics-(Unit Cohesion*Curve Length))/tan((Angle of Internal Friction of Soil)). To calculate Normal Component given Resisting Force from Coulomb's Equation, you need Resisting force in Soil Mechanics (FR), Unit Cohesion (cu), Curve Length (ΔL) & Angle of Internal Friction of Soil i). With our tool, you need to enter the respective value for Resisting force in Soil Mechanics, Unit Cohesion, Curve Length & Angle of Internal Friction of Soil and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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