Effective Angle of Internal Friction given Shear Strength Calculator

✖Shear Strength of Soil is the strength of a material against the structural failure when the material fails in shear.ⓘ Shear Strength [ζ _soil]			+10% -10%
✖Effective Cohesion is the consistency of soft to hard defined on the basis of the standard CSN 73 1001 for different states of consistency and degree of saturation.ⓘ Effective Cohesion [c']			+10% -10%
✖Normal Stress in Mega Pascal is a stress that occurs when a member is loaded by an axial force.ⓘ Normal Stress in Mega Pascal [σ_nm]			+10% -10%
✖Upward Force due to seepage water.ⓘ Upward Force [u]			+10% -10%

✖Effective Angle of Internal Friction is a measure of the shear strength of soils due to friction.ⓘ Effective Angle of Internal Friction given Shear Strength [φ']

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Effective Angle of Internal Friction given Shear Strength Solution

STEP 0: Pre-Calculation Summary

Formula Used

Effective Angle of Internal Friction = atan((Shear Strength-Effective Cohesion)/(Normal Stress in Mega Pascal-Upward Force))
φ' = atan((ζ _soil-c')/(σ_nm-u))
This formula uses 2 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)
atan - Inverse tan is used to calculate the angle by applying the tangent ratio of the angle, which is the opposite side divided by the adjacent side of the right triangle., atan(Number)

Variables Used

Effective Angle of Internal Friction - (Measured in Radian) - Effective Angle of Internal Friction is a measure of the shear strength of soils due to friction.
Shear Strength - (Measured in Pascal) - Shear Strength of Soil is the strength of a material against the structural failure when the material fails in shear.
Effective Cohesion - (Measured in Pascal) - Effective Cohesion is the consistency of soft to hard defined on the basis of the standard CSN 73 1001 for different states of consistency and degree of saturation.
Normal Stress in Mega Pascal - (Measured in Pascal) - Normal Stress in Mega Pascal is a stress that occurs when a member is loaded by an axial force.
Upward Force - (Measured in Pascal) - Upward Force due to seepage water.

STEP 1: Convert Input(s) to Base Unit

Shear Strength: 0.025 Megapascal --> 25000 Pascal (Check conversion here)
Effective Cohesion: 4 Pascal --> 4 Pascal No Conversion Required
Normal Stress in Mega Pascal: 1.1 Megapascal --> 1100000 Pascal (Check conversion here)
Upward Force: 20 Pascal --> 20 Pascal No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

φ' = atan((ζ _soil-c')/(σ_nm-u)) --> atan((25000-4)/(1100000-20))

Evaluating ... ...

φ' = 0.0227201393063218

STEP 3: Convert Result to Output's Unit

0.0227201393063218 Radian -->1.30176809220177 Degree (Check conversion here)

FINAL ANSWER

1.30176809220177 ≈ 1.301768 Degree <-- Effective Angle of Internal Friction

(Calculation completed in 00.004 seconds)

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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Meerut Institute of Engineering and Technology (MIET), Meerut

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< Slope Stability Analysis using Bishops Method Calculators

Length of Arc of Slice given Effective Stress

LaTeX Go Length of Arc = Total Normal Force/(Effective Normal Stress+Total Pore Pressure)

Effective Stress on Slice

LaTeX Go Effective Normal Stress = (Total Normal Force/Length of Arc)-Total Pore Pressure

Normal Stress on Slice

LaTeX Go Normal Stress in Pascal = Total Normal Force/Length of Arc

Length of Arc of Slice

LaTeX Go Length of Arc = Total Normal Force/Normal Stress in Pascal

Effective Angle of Internal Friction given Shear Strength Formula

LaTeX Go

Effective Angle of Internal Friction = atan((Shear Strength-Effective Cohesion)/(Normal Stress in Mega Pascal-Upward Force))
φ' = atan((ζ _soil-c')/(σ_nm-u))

What is Angle of Internal Friction?

A measure of the ability of a unit of rock or soil to withstand a shear stress. It is the angle (φ), measured between the normal force (N) and resultant force (R), that is attained when failure just occurs in response to a shearing stress (S).

How to Calculate Effective Angle of Internal Friction given Shear Strength?

Effective Angle of Internal Friction given Shear Strength calculator uses Effective Angle of Internal Friction = atan((Shear Strength-Effective Cohesion)/(Normal Stress in Mega Pascal-Upward Force)) to calculate the Effective Angle of Internal Friction, The Effective Angle of Internal Friction given Shear Strength is defined as the value of effective angle of internal friction when we have prior information of other parameters used. Effective Angle of Internal Friction is denoted by φ' symbol.

How to calculate Effective Angle of Internal Friction given Shear Strength using this online calculator? To use this online calculator for Effective Angle of Internal Friction given Shear Strength, enter Shear Strength (ζ _soil), Effective Cohesion (c'), Normal Stress in Mega Pascal (σ_nm) & Upward Force (u) and hit the calculate button. Here is how the Effective Angle of Internal Friction given Shear Strength calculation can be explained with given input values -> 528.2987 = atan((25000-4)/(1100000-20)).

FAQ

What is Effective Angle of Internal Friction given Shear Strength?

The Effective Angle of Internal Friction given Shear Strength is defined as the value of effective angle of internal friction when we have prior information of other parameters used and is represented as φ' = atan((ζ _soil-c')/(σ_nm-u)) or Effective Angle of Internal Friction = atan((Shear Strength-Effective Cohesion)/(Normal Stress in Mega Pascal-Upward Force)). Shear Strength of Soil is the strength of a material against the structural failure when the material fails in shear, Effective Cohesion is the consistency of soft to hard defined on the basis of the standard CSN 73 1001 for different states of consistency and degree of saturation, Normal Stress in Mega Pascal is a stress that occurs when a member is loaded by an axial force & Upward Force due to seepage water.

How to calculate Effective Angle of Internal Friction given Shear Strength?

The Effective Angle of Internal Friction given Shear Strength is defined as the value of effective angle of internal friction when we have prior information of other parameters used is calculated using Effective Angle of Internal Friction = atan((Shear Strength-Effective Cohesion)/(Normal Stress in Mega Pascal-Upward Force)). To calculate Effective Angle of Internal Friction given Shear Strength, you need Shear Strength (ζ _soil), Effective Cohesion (c'), Normal Stress in Mega Pascal (σ_nm) & Upward Force (u). With our tool, you need to enter the respective value for Shear Strength, Effective Cohesion, Normal Stress in Mega Pascal & Upward Force and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Effective Angle of Internal Friction?

In this formula, Effective Angle of Internal Friction uses Shear Strength, Effective Cohesion, Normal Stress in Mega Pascal & Upward Force. We can use 1 other way(s) to calculate the same, which is/are as follows -

Effective Angle of Internal Friction = atan(((Shear Force on Slice in Soil Mechanics*Factor of Safety)-(Effective Cohesion*Length of Arc))/(Total Normal Force-(Upward Force*Length of Arc)))

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