Angle of Internal Friction given Factor of Safety for Submerged Slope Calculator

✖Angle of Inclination to Horizontal in Soil is defined as the angle measured from the horizontal surface of the wall or any object.ⓘ Angle of Inclination to Horizontal in Soil [i]			+10% -10%
✖Factor of Safety expresses how much stronger a system is than it needs to be for an intended load.ⓘ Factor of Safety [f_s]			+10% -10%
✖Cohesion in Soil as Kilopascal is the ability of like particles within soil to hold onto each other. It is the shear strength or force that binds together like particles in the structure of a soil.ⓘ Cohesion in Soil as Kilopascal [C]			+10% -10%
✖Submerged Unit Weight is the unit weight of weight of soil as observed underwater in a saturated condition of course.ⓘ Submerged Unit Weight [γ^']			+10% -10%

✖Angle of Internal Friction of Soil is is a measure of the shear strength of soil due to friction.ⓘ Angle of Internal Friction given Factor of Safety for Submerged Slope [Φ_i]

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Angle of Internal Friction given Factor of Safety for Submerged Slope Solution

STEP 0: Pre-Calculation Summary

Formula Used

Angle of Internal Friction of Soil = atan(tan((Angle of Inclination to Horizontal in Soil))*(Factor of Safety-(Cohesion in Soil as Kilopascal/(Submerged Unit Weight*cos((Angle of Inclination to Horizontal in Soil))*sin((Angle of Inclination to Horizontal in Soil))))))
Φ_i = atan(tan((i))*(f_s-(C/(γ^'*cos((i))*sin((i))))))
This formula uses 4 Functions, 5 Variables

Functions Used

sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)
cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)
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

Angle of Internal Friction of Soil - (Measured in Radian) - Angle of Internal Friction of Soil is is a measure of the shear strength of soil due to friction.
Angle of Inclination to Horizontal in Soil - (Measured in Radian) - Angle of Inclination to Horizontal in Soil is defined as the angle measured from the horizontal surface of the wall or any object.
Factor of Safety - Factor of Safety expresses how much stronger a system is than it needs to be for an intended load.
Cohesion in Soil as Kilopascal - (Measured in Kilopascal) - Cohesion in Soil as Kilopascal is the ability of like particles within soil to hold onto each other. It is the shear strength or force that binds together like particles in the structure of a soil.
Submerged Unit Weight - (Measured in Newton per Cubic Meter) - Submerged Unit Weight is the unit weight of weight of soil as observed underwater in a saturated condition of course.

STEP 1: Convert Input(s) to Base Unit

Angle of Inclination to Horizontal in Soil: 64 Degree --> 1.11701072127616 Radian (Check conversion here)
Factor of Safety: 2.8 --> No Conversion Required
Cohesion in Soil as Kilopascal: 1.27 Kilopascal --> 1.27 Kilopascal No Conversion Required
Submerged Unit Weight: 5.01 Newton per Cubic Meter --> 5.01 Newton per Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Φ_i = atan(tan((i))*(f_s-(C/(γ^'*cos((i))*sin((i)))))) --> atan(tan((1.11701072127616))*(2.8-(1.27/(5.01*cos((1.11701072127616))*sin((1.11701072127616))))))

Evaluating ... ...

Φ_i = 1.34838239223954

STEP 3: Convert Result to Output's Unit

1.34838239223954 Radian -->77.2566202450934 Degree (Check conversion here)

FINAL ANSWER

77.2566202450934 ≈ 77.25662 Degree <-- Angle of Internal Friction of Soil

(Calculation completed in 00.004 seconds)

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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< Stability Analysis of Submerged Slopes Calculators

Shear Stress Component given Submerged Unit Weight

LaTeX Go Shear Stress for Submerged Slopes = (Submerged Unit Weight*Depth of Prism*cos((Angle of Inclination to Horizontal in Soil))*sin((Angle of Inclination to Horizontal in Soil)))

Submerged Unit Weight given Normal Stress Component

LaTeX Go Submerged Unit Weight = Normal Stress/(Depth of Prism*(cos((Angle of Inclination to Horizontal in Soil)))^2)

Depth of Prism given Submerged Unit Weight

LaTeX Go Depth of Prism = Normal Stress/(Submerged Unit Weight*(cos((Angle of Inclination to Horizontal in Soil)))^2)

Normal Stress Component given Submerged Unit Weight

LaTeX Go Normal Stress = Submerged Unit Weight*Depth of Prism*(cos((Angle of Inclination to Horizontal in Soil)))^2

Angle of Internal Friction given Factor of Safety for Submerged Slope Formula

LaTeX Go

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 Angle of Internal Friction given Factor of Safety for Submerged Slope?

Angle of Internal Friction given Factor of Safety for Submerged Slope calculator uses Angle of Internal Friction of Soil = atan(tan((Angle of Inclination to Horizontal in Soil))*(Factor of Safety-(Cohesion in Soil as Kilopascal/(Submerged Unit Weight*cos((Angle of Inclination to Horizontal in Soil))*sin((Angle of Inclination to Horizontal in Soil)))))) to calculate the Angle of Internal Friction of Soil, The Angle of Internal Friction given Factor of Safety for Submerged Slope is defined as the value of angle of internal friction when we have prior information of other parameters used. Angle of Internal Friction of Soil is denoted by Φ_i symbol.

How to calculate Angle of Internal Friction given Factor of Safety for Submerged Slope using this online calculator? To use this online calculator for Angle of Internal Friction given Factor of Safety for Submerged Slope, enter Angle of Inclination to Horizontal in Soil (i), Factor of Safety (f_s), Cohesion in Soil as Kilopascal (C) & Submerged Unit Weight (γ^') and hit the calculate button. Here is how the Angle of Internal Friction given Factor of Safety for Submerged Slope calculation can be explained with given input values -> 4426.057 = atan(tan((1.11701072127616))*(2.8-(1270/(5.01*cos((1.11701072127616))*sin((1.11701072127616)))))).

FAQ

What is Angle of Internal Friction given Factor of Safety for Submerged Slope?

The Angle of Internal Friction given Factor of Safety for Submerged Slope is defined as the value of angle of internal friction when we have prior information of other parameters used and is represented as Φ_i = atan(tan((i))*(f_s-(C/(γ^'*cos((i))*sin((i)))))) or Angle of Internal Friction of Soil = atan(tan((Angle of Inclination to Horizontal in Soil))*(Factor of Safety-(Cohesion in Soil as Kilopascal/(Submerged Unit Weight*cos((Angle of Inclination to Horizontal in Soil))*sin((Angle of Inclination to Horizontal in Soil)))))). Angle of Inclination to Horizontal in Soil is defined as the angle measured from the horizontal surface of the wall or any object, Factor of Safety expresses how much stronger a system is than it needs to be for an intended load, Cohesion in Soil as Kilopascal is the ability of like particles within soil to hold onto each other. It is the shear strength or force that binds together like particles in the structure of a soil & Submerged Unit Weight is the unit weight of weight of soil as observed underwater in a saturated condition of course.

How to calculate Angle of Internal Friction given Factor of Safety for Submerged Slope?

The Angle of Internal Friction given Factor of Safety for Submerged Slope is defined as the value of angle of internal friction when we have prior information of other parameters used is calculated using Angle of Internal Friction of Soil = atan(tan((Angle of Inclination to Horizontal in Soil))*(Factor of Safety-(Cohesion in Soil as Kilopascal/(Submerged Unit Weight*cos((Angle of Inclination to Horizontal in Soil))*sin((Angle of Inclination to Horizontal in Soil)))))). To calculate Angle of Internal Friction given Factor of Safety for Submerged Slope, you need Angle of Inclination to Horizontal in Soil (i), Factor of Safety (f_s), Cohesion in Soil as Kilopascal (C) & Submerged Unit Weight (γ^'). With our tool, you need to enter the respective value for Angle of Inclination to Horizontal in Soil, Factor of Safety, Cohesion in Soil as Kilopascal & Submerged Unit Weight 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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