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

✖Resisting Force is the force that counteracts the driving forces attempting to cause soil or structural failure.ⓘ Resisting Force [F_r]			+10% -10%
✖Normal Component of Force is the perpendicular component of force.ⓘ Normal Component of Force [N]			+10% -10%
✖Angle of Internal Friction is the angle measured between the normal force and resultant force.ⓘ Angle of Internal Friction [φ]			+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 of Each Slice given Resisting Force from Coulomb's Equation [ΔL]

⎘ Copy

👎

Formula

✖

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

Formula

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

Example

3.412641 m = \frac{35 N - (4.99 N \cdot \tan ((9.93 °)))}{10 Pa}

Calculator

LaTeX

Reset

👍

Download The Swedish Slip Circle Method Formulas PDF PDF Image

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

STEP 0: Pre-Calculation Summary

Formula Used

Curve Length = (Resisting Force-(Normal Component of Force*tan((Angle of Internal Friction))))/Unit Cohesion
ΔL = (F_r-(N*tan((φ))))/c_u
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

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.
Resisting Force - (Measured in Newton) - Resisting Force is the force that counteracts the driving forces attempting to cause soil or structural failure.
Normal Component of Force - (Measured in Newton) - Normal Component of Force is the perpendicular component of force.
Angle of Internal Friction - (Measured in Radian) - Angle of Internal Friction is the angle measured between the normal force and resultant force.
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.

STEP 1: Convert Input(s) to Base Unit

Resisting Force: 35 Newton --> 35 Newton No Conversion Required
Normal Component of Force: 4.99 Newton --> 4.99 Newton No Conversion Required
Angle of Internal Friction: 9.93 Degree --> 0.173311194723004 Radian (Check conversion here)
Unit Cohesion: 10 Pascal --> 10 Pascal No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ΔL = (F_r-(N*tan((φ))))/c_u --> (35-(4.99*tan((0.173311194723004))))/10

Evaluating ... ...

ΔL = 3.4126412996116

STEP 3: Convert Result to Output's Unit

3.4126412996116 Meter --> No Conversion Required

FINAL ANSWER

3.4126412996116 ≈ 3.412641 Meter <-- Curve Length

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Civil » Geotechnical Engineering » Stability of Slopes In Earthen Dams » The Swedish Slip Circle Method » Curve Length of Each Slice given Resisting Force from Coulomb's Equation

Credits

Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

Suraj Kumar has created this Calculator and 2100+ more calculators!

Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

Ishita Goyal has verified this Calculator and 2600+ more calculators!

< The Swedish Slip Circle Method Calculators

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)

Moment of Resistance given Factor of Safety

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

Driving Moment given Factor of Safety

Go Driving Moment = Resisting Moment/Factor of Safety

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

Curve Length = (Resisting Force-(Normal Component of Force*tan((Angle of Internal Friction))))/Unit Cohesion
ΔL = (F_r-(N*tan((φ))))/c_u

What is Angle of Internal Friction?

The angle of internal friction is a physical property of earth materials or the slope of a linear representation of the shear strength of earth materials.

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

Curve Length of Each Slice given Resisting Force from Coulomb's Equation calculator uses Curve Length = (Resisting Force-(Normal Component of Force*tan((Angle of Internal Friction))))/Unit Cohesion to calculate 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 calculate Curve Length of Each Slice given Resisting Force from Coulomb's Equation using this online calculator? To use this online calculator 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. Here is how the Curve Length of Each Slice given Resisting Force from Coulomb's Equation calculation can be explained with given input values -> 3.412641 = (35-(4.99*tan((0.173311194723004))))/10.

FAQ

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

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 and is represented as ΔL = (F_r-(N*tan((φ))))/c_u or Curve Length = (Resisting Force-(Normal Component of Force*tan((Angle of Internal Friction))))/Unit Cohesion. Resisting Force is the force that counteracts the driving forces attempting to cause soil or structural failure, Normal Component of Force is the perpendicular component of force, Angle of Internal Friction is the angle measured between the normal force and resultant force & Unit Cohesion is the shear strength property of a soil that is solely attributed to cohesive forces between soil particles.

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

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 is calculated using Curve Length = (Resisting Force-(Normal Component of Force*tan((Angle of Internal Friction))))/Unit Cohesion. To calculate Curve Length of Each Slice given Resisting Force from Coulomb's Equation, you need Resisting Force (F_r), Normal Component of Force (N), Angle of Internal Friction (φ) & Unit Cohesion (c_u). With our tool, you need to enter the respective value for Resisting Force, Normal Component of Force, Angle of Internal Friction & Unit Cohesion and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search