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Normal Component given Resisting Force from Coulomb's Equation Formula

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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. Check FAQs

F N = \frac{F r - (c u \cdot ΔL)}{\tan ((φ))}

F_N - Normal Component of Force in Soil Mechanics?F_r - Resisting Force?c_u - Unit Cohesion?ΔL - Curve Length?φ - Angle of Internal Friction?

Normal Component given Resisting Force from Coulomb's Equation Example

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Here is how the Normal Component given Resisting Force from Coulomb's Equation equation looks like with Values.

Here is how the Normal Component given Resisting Force from Coulomb's Equation equation looks like with Units.

Here is how the Normal Component given Resisting Force from Coulomb's Equation equation looks like.

5.0266 = \frac{35 - (10 \cdot 3.412)}{\tan ((9.93))}

5.0266N = \frac{35N - (10Pa \cdot 3.412m)}{\tan ((9.93°))}

5.0266 = \frac{35 - (10 \cdot 3.412)}{\tan ((9.93))}

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Normal Component given Resisting Force from Coulomb's Equation Solution

Follow our step by step solution on how to calculate Normal Component given Resisting Force from Coulomb's Equation?

FIRST Step Consider the formula

F N = \frac{F r - (c u \cdot ΔL)}{\tan ((φ))}

Next Step Substitute values of Variables

∴

F N = \frac{35N - (10Pa \cdot 3.412m)}{\tan ((9.93°))}

Next Step Convert Units

∴

F N = \frac{35N - (10Pa \cdot 3.412m)}{\tan ((0.1733rad))}

Next Step Prepare to Evaluate

∴

F N = \frac{35 - (10 \cdot 3.412)}{\tan ((0.1733))}

Next Step Evaluate

∴

F N = 5.02663155527361N

LAST Step Rounding Answer

∴

F N = 5.0266N

Normal Component given Resisting Force from Coulomb's Equation Formula Elements

Variables

Functions

Normal Component of Force in Soil Mechanics

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.

Symbol: F_N

Measurement: ForceUnit: N

Note: Value should be between 0 to 180.

Formulas to find Normal Component of Force in Soil Mechanics

Resisting Force

Resisting Force is the force that counteracts the driving forces attempting to cause soil or structural failure.

Symbol: F_r

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Resisting Force

Unit Cohesion

Unit Cohesion is the shear strength property of a soil that is solely attributed to cohesive forces between soil particles.

Symbol: c_u

Measurement: PressureUnit: Pa

Note: Value should be greater than 0.

Formulas to find Unit Cohesion

Curve Length

Curve Length is the total extent of a curve, measured along its path, quantifying its spatial reach or boundary span.

Symbol: ΔL

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Curve Length

Angle of Internal Friction

Angle of Internal Friction is the angle measured between the normal force and resultant force.

Symbol: φ

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Angle of Internal Friction

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.

Syntax: tan(Angle)

Other formulas in The Swedish Slip Circle Method category

Go Radial Distance from Center of Rotation given Length of Slip Arc

d radial = \frac{360 \cdot L'}{2 \cdot π \cdot δ \cdot (\frac{180}{π})}

Go Arc Angle given Length of Slip Arc

δ = \frac{360 \cdot L'}{2 \cdot π \cdot d radial} \cdot (\frac{π}{180})

Go Moment of Resistance given Factor of Safety

M r' = f s \cdot M D

Go Driving Moment given Factor of Safety

M D = \frac{M R}{f s}

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

Normal Component given Resisting Force from Coulomb's Equation evaluator uses Normal Component of Force in Soil Mechanics = (Resisting Force-(Unit Cohesion*Curve Length))/tan((Angle of Internal Friction)) to evaluate 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 evaluate Normal Component given Resisting Force from Coulomb's Equation using this online evaluator? To use this online evaluator 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.

FAQs on Normal Component given Resisting Force from Coulomb's Equation

What is the formula to find Normal Component given Resisting Force from Coulomb's Equation?

The formula of Normal Component given Resisting Force from Coulomb's Equation is expressed as Normal Component of Force in Soil Mechanics = (Resisting Force-(Unit Cohesion*Curve Length))/tan((Angle of Internal Friction)). Here is an example- 5.026632 = (35-(10*3.412))/tan((0.173311194723004)).

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

With Resisting Force (F_r), Unit Cohesion (c_u), Curve Length (ΔL) & Angle of Internal Friction (φ) we can find Normal Component given Resisting Force from Coulomb's Equation using the formula - Normal Component of Force in Soil Mechanics = (Resisting Force-(Unit Cohesion*Curve Length))/tan((Angle of Internal Friction)). This formula also uses Tangent (tan) function(s).

Can the Normal Component given Resisting Force from Coulomb's Equation be negative?

Yes, the Normal Component given Resisting Force from Coulomb's Equation, measured in Force can be negative.

Which unit is used to measure Normal Component given Resisting Force from Coulomb's Equation?

Normal Component given Resisting Force from Coulomb's Equation is usually measured using the Newton[N] for Force. Exanewton[N], Meganewton[N], Kilonewton[N] are the few other units in which Normal Component given Resisting Force from Coulomb's Equation can be measured.

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Normal Component given Resisting Force from Coulomb's Equation Formula

Normal Component given Resisting Force from Coulomb's Equation Example

Normal Component given Resisting Force from Coulomb's Equation Solution

Normal Component given Resisting Force from Coulomb's Equation Formula Elements

Other formulas in The Swedish Slip Circle Method category

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

FAQs on Normal Component given Resisting Force from Coulomb's Equation

Variable Name