✖Resisting Force is the force that counteracts the driving forces attempting to cause soil or structural failure.ⓘ Resisting Force [F_r]			+10% -10%
✖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%
✖Curve Length is the total extent of a curve, measured along its path, quantifying its spatial reach or boundary span.ⓘ Curve Length [ΔL]			+10% -10%
✖Angle of Internal Friction is the angle measured between the normal force and resultant force.ⓘ Angle of Internal Friction [φ]			+10% -10%

✖Normal Component of Force in Soil Mechanics is the part of the total force acting on a soil element that is perpendicular (normal) to a given plane within the soil.ⓘ Normal Component given Resisting Force from Coulomb's Equation [F_N]

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Formula

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Normal Component given Resisting Force from Coulomb's Equation

Formula

`"F"_{"N"} = ("F"_{"r"}-("c"_{"u"}*"ΔL"))/tan(("φ"))`

Example

`"5.026632N"=("35N"-("10Pa"*"3.412m"))/tan(("9.93°"))`

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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-(Unit Cohesion*Curve Length))/tan((Angle of Internal Friction))
F_N = (F_r-(c_u*ΔL))/tan((φ))
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 part of the total force acting on a soil element that is perpendicular (normal) to a given plane within the soil.
Resisting Force - (Measured in Newton) - Resisting Force is the force that counteracts the driving forces attempting to cause soil or structural failure.
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.
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 - (Measured in Radian) - Angle of Internal Friction is the angle measured between the normal force and resultant force.

STEP 1: Convert Input(s) to Base Unit

Resisting Force: 35 Newton --> 35 Newton No Conversion Required
Unit Cohesion: 10 Pascal --> 10 Pascal No Conversion Required
Curve Length: 3.412 Meter --> 3.412 Meter No Conversion Required
Angle of Internal Friction: 9.93 Degree --> 0.173311194723004 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

F_N = (F_r-(c_u*ΔL))/tan((φ)) --> (35-(10*3.412))/tan((0.173311194723004))

Evaluating ... ...

F_N = 5.02663155527361

STEP 3: Convert Result to Output's Unit

5.02663155527361 Newton --> No Conversion Required

FINAL ANSWER

5.02663155527361 ≈ 5.026632 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 in Soil Mechanics)-(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 in Soil Mechanics = ((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 of Soil))))/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 of Soil))

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 of Soil))))

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 between LOA and COR))

Distance between Line of Action of Weight and Line Passing through Center

Go Distance between LOA and COR = (Unit Cohesion*Length of Slip Arc*Radial Distance)/(Weight of Body in Newtons*Factor of Safety)

Normal Component given Resisting Force from Coulomb's Equation

Go Normal Component of Force in Soil Mechanics = (Resisting Force-(Unit Cohesion*Curve Length))/tan((Angle of Internal Friction))

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

Distance between Line of Action and Line Passing through Center given Mobilized Cohesion

Go Distance between LOA and COR = Mobilized Shear Resistance of Soil/((Weight of Body in Newtons*Radial Distance)/Length of Slip Arc)

Radial Distance from Centre of Rotation given Mobilized Shear Resistance of Soil

Go Radial Distance = Mobilized Shear Resistance of Soil/((Weight of Body in Newtons*Distance between LOA and COR)/Length of Slip Arc)

Mobilized Shear Resistance of Soil given Weight of Soil on Wedge

Go Mobilized Shear Resistance of Soil = (Weight of Body in Newtons*Distance between LOA and COR*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 in Soil Mechanics = 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 in Soil Mechanics

Moment of Resistance given Factor of Safety

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

Distance between Line of Action and Line Passing through Center given Driving Moment

Go Distance between LOA and COR = Driving Moment/Weight of Body in Newtons

Driving Moment given Weight of Soil on Wedge

Go Driving Moment = Weight of Body in Newtons*Distance between LOA and COR

Mobilized Shear Resistance of Soil given Factor of Safety

Go Mobilized Shear Resistance of Soil = Unit Cohesion/Factor of Safety

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-(Unit Cohesion*Curve Length))/tan((Angle of Internal Friction))
F_N = (F_r-(c_u*ΔL))/tan((φ))

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-(Unit Cohesion*Curve Length))/tan((Angle of Internal Friction)) 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 force acting perpendicular to the potential sliding surface within a soil mass, considering Coulomb's equation that is a fundamental principle used to calculate the shear resistance between two surfaces. Normal Component of Force in Soil Mechanics is denoted by F_N 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 (F_r), Unit Cohesion (c_u), Curve Length (ΔL) & Angle of Internal Friction (φ) 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 -> 5.026632 = (35-(10*3.412))/tan((0.173311194723004)).

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 force acting perpendicular to the potential sliding surface within a soil mass, considering Coulomb's equation that is a fundamental principle used to calculate the shear resistance between two surfaces and is represented as F_N = (F_r-(c_u*ΔL))/tan((φ)) or Normal Component of Force in Soil Mechanics = (Resisting Force-(Unit Cohesion*Curve Length))/tan((Angle of Internal Friction)). Resisting Force is the force that counteracts the driving forces attempting to cause soil or structural failure, Unit Cohesion is the shear strength property of a soil that is solely attributed to cohesive forces between soil particles, Curve Length is the total extent of a curve, measured along its path, quantifying its spatial reach or boundary span & Angle of Internal Friction is the angle measured between the normal force and resultant force.

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 force acting perpendicular to the potential sliding surface within a soil mass, considering Coulomb's equation that is a fundamental principle used to calculate the shear resistance between two surfaces is calculated using Normal Component of Force in Soil Mechanics = (Resisting Force-(Unit Cohesion*Curve Length))/tan((Angle of Internal Friction)). To calculate Normal Component given Resisting Force from Coulomb's Equation, you need Resisting Force (F_r), Unit Cohesion (c_u), Curve Length (ΔL) & Angle of Internal Friction (φ). With our tool, you need to enter the respective value for Resisting Force, Unit Cohesion, Curve Length & Angle of Internal Friction 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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