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Curve Length of Each Slice given Resisting Force from Coulomb's Equation Formula

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

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

ΔL - Curve Length?F_r - Resisting Force?N - Normal Component of Force?φ - Angle of Internal Friction?c_u - Unit Cohesion?

Curve Length of Each Slice given Resisting Force from Coulomb's Equation Example

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Here is how the Curve Length of Each Slice given Resisting Force from Coulomb's Equation equation looks like with Values.

Here is how the Curve Length of Each Slice given Resisting Force from Coulomb's Equation equation looks like with Units.

Here is how the Curve Length of Each Slice given Resisting Force from Coulomb's Equation equation looks like.

3.4126 = \frac{35 - (4.99 \cdot \tan ((9.93)))}{10}

3.4126m = \frac{35N - (4.99N \cdot \tan ((9.93°)))}{10Pa}

3.4126 = \frac{35 - (4.99 \cdot \tan ((9.93)))}{10}

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Curve Length of Each Slice given Resisting Force from Coulomb's Equation Solution

Follow our step by step solution on how to calculate Curve Length of Each Slice given Resisting Force from Coulomb's Equation?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

ΔL = \frac{35N - (4.99N \cdot \tan ((9.93°)))}{10Pa}

Next Step Convert Units

∴

ΔL = \frac{35N - (4.99N \cdot \tan ((0.1733rad)))}{10Pa}

Next Step Prepare to Evaluate

∴

ΔL = \frac{35 - (4.99 \cdot \tan ((0.1733)))}{10}

Next Step Evaluate

∴

ΔL = 3.4126412996116m

LAST Step Rounding Answer

∴

ΔL = 3.4126m

Curve Length of Each Slice given Resisting Force from Coulomb's Equation Formula Elements

Variables

Functions

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

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

Normal Component of Force

Normal Component of Force is the perpendicular component of force.

Symbol: N

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Normal Component of Force

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

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

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 Curve Length of Each Slice given Resisting Force from Coulomb's Equation?

Curve Length of Each Slice given Resisting Force from Coulomb's Equation evaluator uses Curve Length = (Resisting Force-(Normal Component of Force*tan((Angle of Internal Friction))))/Unit Cohesion to evaluate the Curve Length, The Curve Length of Each Slice given Resisting Force from Coulomb's Equation formula is defined as the length of the curved segment of a slip surface for each slice in a slope stability analysis using the method of slices. The resisting force is derived using Coulomb's equation, which takes into account the shear strength parameters of the soil. Curve Length is denoted by ΔL symbol.

How to evaluate Curve Length of Each Slice given Resisting Force from Coulomb's Equation using this online evaluator? To use this online evaluator for Curve Length of Each Slice given Resisting Force from Coulomb's Equation, enter Resisting Force (F_r), Normal Component of Force (N), Angle of Internal Friction (φ) & Unit Cohesion (c_u) and hit the calculate button.

FAQs on Curve Length of Each Slice given Resisting Force from Coulomb's Equation

What is the formula to find Curve Length of Each Slice given Resisting Force from Coulomb's Equation?

The formula of Curve Length of Each Slice given Resisting Force from Coulomb's Equation is expressed as Curve Length = (Resisting Force-(Normal Component of Force*tan((Angle of Internal Friction))))/Unit Cohesion. Here is an example- 3.412641 = (35-(4.99*tan((0.173311194723004))))/10.

How to calculate Curve Length of Each Slice given Resisting Force from Coulomb's Equation?

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

Can the Curve Length of Each Slice given Resisting Force from Coulomb's Equation be negative?

No, the Curve Length of Each Slice given Resisting Force from Coulomb's Equation, measured in Length cannot be negative.

Which unit is used to measure Curve Length of Each Slice given Resisting Force from Coulomb's Equation?

Curve Length of Each Slice given Resisting Force from Coulomb's Equation is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Curve Length of Each Slice given Resisting Force from Coulomb's Equation can be measured.

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Curve Length of Each Slice given Resisting Force from Coulomb's Equation Formula

Curve Length of Each Slice given Resisting Force from Coulomb's Equation Example

Curve Length of Each Slice given Resisting Force from Coulomb's Equation Solution

Curve Length of Each Slice given Resisting Force from Coulomb's Equation Formula Elements

Other formulas in The Swedish Slip Circle Method category

How to Evaluate Curve Length of Each Slice given Resisting Force from Coulomb's Equation?

FAQs on Curve Length of Each Slice given Resisting Force from Coulomb's Equation

Variable Name