Weighted Friction Angle given Submerged Unit Weight Calculator

✖Submerged Unit Weight is the effective weight of the soil per unit volume when it is submerged in water.ⓘ Submerged Unit Weight [γ^']			+10% -10%
✖Internal Friction Angle with Weighted Frict. Angle is a measure of the shear strength of a soil due to friction, considering angle of internal friction.ⓘ Internal Friction Angle with Weighted Frict. Angle [φ_iw]			+10% -10%
✖Saturated Unit Weight is the value of the unit weight of the soil when the soil is completely saturated with water that is all the soil pores are completely filled with water.ⓘ Saturated Unit Weight [γ_sat]			+10% -10%

✖Weighted Friction Angle is an effective measure combining materials' friction properties and their relative contributions in geotechnical engineering for stability analysis.ⓘ Weighted Friction Angle given Submerged Unit Weight [φ_w]

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Weighted Friction Angle given Submerged Unit Weight Solution

STEP 0: Pre-Calculation Summary

Formula Used

Weighted Friction Angle = (Submerged Unit Weight*Internal Friction Angle with Weighted Frict. Angle)/Saturated Unit Weight
φ_w = (γ^'*φ_iw)/γ_sat
This formula uses 4 Variables

Variables Used

Weighted Friction Angle - (Measured in Radian) - Weighted Friction Angle is an effective measure combining materials' friction properties and their relative contributions in geotechnical engineering for stability analysis.
Submerged Unit Weight - (Measured in Newton per Cubic Meter) - Submerged Unit Weight is the effective weight of the soil per unit volume when it is submerged in water.
Internal Friction Angle with Weighted Frict. Angle - (Measured in Radian) - Internal Friction Angle with Weighted Frict. Angle is a measure of the shear strength of a soil due to friction, considering angle of internal friction.
Saturated Unit Weight - (Measured in Newton per Cubic Meter) - Saturated Unit Weight is the value of the unit weight of the soil when the soil is completely saturated with water that is all the soil pores are completely filled with water.

STEP 1: Convert Input(s) to Base Unit

Submerged Unit Weight: 31 Newton per Cubic Meter --> 31 Newton per Cubic Meter No Conversion Required
Internal Friction Angle with Weighted Frict. Angle: 41.85 Degree --> 0.73042029195949 Radian (Check conversion here)
Saturated Unit Weight: 9.98 Newton per Cubic Meter --> 9.98 Newton per Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

φ_w = (γ^'*φ_iw)/γ_sat --> (31*0.73042029195949)/9.98

Evaluating ... ...

φ_w = 2.26884058624691

STEP 3: Convert Result to Output's Unit

2.26884058624691 Radian -->129.99498997996 Degree (Check conversion here)

FINAL ANSWER

129.99498997996 ≈ 129.995 Degree <-- Weighted Friction Angle

(Calculation completed in 00.021 seconds)

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Home » Engineering » Civil » Geotechnical Engineering » Stability of Slopes In Earthen Dams » Taylor's Stability Number and Stability Curves » Weighted Friction Angle given Submerged Unit Weight

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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< Taylor's Stability Number and Stability Curves Calculators

Submerged Unit Weight given Factor of Safety with respect to Shear Strength

LaTeX Go Submerged Unit Weight = tan((Weighted Friction Angle*pi)/180)/((1/Saturated Unit Weight)*(tan((Angle of Internal Friction of Soil*pi)/180)/Factor of Safety))

Saturated Unit Weight given Factor of Safety with respect to Shear Strength

LaTeX Go Saturated Unit Weight = ((Submerged Unit Weight/tan((Weighted Friction Angle for Internal Friction)))*(tan((Angle of Internal Friction))/Factor of Safety))

Factor of Safety with respect to Shear Strength

LaTeX Go Factor of Safety = ((Submerged Unit Weight/Saturated Unit Weight)*(tan((Angle of Internal Friction))/tan((Weighted Friction Angle for Internal Friction))))

Weighted Friction Angle given Factor of Safety with respect to Shear Strength

LaTeX Go Weighted Friction Angle = atan((Submerged Unit Weight/Saturated Unit Weight)*(tan((Angle of Internal Friction of Soil))/Factor of Safety))

Weighted Friction Angle given Submerged Unit Weight Formula

LaTeX Go

Weighted Friction Angle = (Submerged Unit Weight*Internal Friction Angle with Weighted Frict. Angle)/Saturated Unit Weight
φ_w = (γ^'*φ_iw)/γ_sat

What is Friction Angle?

The friction angle (ϕ) is the sum of the dilation angle determined by the roughness of the joint and the basic friction angle (ϕ b ) of the rock. At low normal stresses, the shear strength is affected only by the friction angle without cohesion.

How to Calculate Weighted Friction Angle given Submerged Unit Weight?

Weighted Friction Angle given Submerged Unit Weight calculator uses Weighted Friction Angle = (Submerged Unit Weight*Internal Friction Angle with Weighted Frict. Angle)/Saturated Unit Weight to calculate the Weighted Friction Angle, The Weighted Friction Angle given Submerged Unit Weight is defined as the angle of internal friction for submerged soils, considering the submerged unit weight, influencing shear strength underwater. Weighted Friction Angle is denoted by φ_w symbol.

How to calculate Weighted Friction Angle given Submerged Unit Weight using this online calculator? To use this online calculator for Weighted Friction Angle given Submerged Unit Weight, enter Submerged Unit Weight (γ^'), Internal Friction Angle with Weighted Frict. Angle (φ_iw) & Saturated Unit Weight (γ_sat) and hit the calculate button. Here is how the Weighted Friction Angle given Submerged Unit Weight calculation can be explained with given input values -> 7448.164 = (31*0.73042029195949)/9.98.

FAQ

What is Weighted Friction Angle given Submerged Unit Weight?

The Weighted Friction Angle given Submerged Unit Weight is defined as the angle of internal friction for submerged soils, considering the submerged unit weight, influencing shear strength underwater and is represented as φ_w = (γ^'*φ_iw)/γ_sat or Weighted Friction Angle = (Submerged Unit Weight*Internal Friction Angle with Weighted Frict. Angle)/Saturated Unit Weight. Submerged Unit Weight is the effective weight of the soil per unit volume when it is submerged in water, Internal Friction Angle with Weighted Frict. Angle is a measure of the shear strength of a soil due to friction, considering angle of internal friction & Saturated Unit Weight is the value of the unit weight of the soil when the soil is completely saturated with water that is all the soil pores are completely filled with water.

How to calculate Weighted Friction Angle given Submerged Unit Weight?

The Weighted Friction Angle given Submerged Unit Weight is defined as the angle of internal friction for submerged soils, considering the submerged unit weight, influencing shear strength underwater is calculated using Weighted Friction Angle = (Submerged Unit Weight*Internal Friction Angle with Weighted Frict. Angle)/Saturated Unit Weight. To calculate Weighted Friction Angle given Submerged Unit Weight, you need Submerged Unit Weight (γ^'), Internal Friction Angle with Weighted Frict. Angle (φ_iw) & Saturated Unit Weight (γ_sat). With our tool, you need to enter the respective value for Submerged Unit Weight, Internal Friction Angle with Weighted Frict. Angle & Saturated Unit Weight 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 Weighted Friction Angle?

In this formula, Weighted Friction Angle uses Submerged Unit Weight, Internal Friction Angle with Weighted Frict. Angle & Saturated Unit Weight. We can use 2 other way(s) to calculate the same, which is/are as follows -

Weighted Friction Angle = atan((Submerged Unit Weight/Saturated Unit Weight)*(tan((Angle of Internal Friction of Soil))/Factor of Safety))
Weighted Friction Angle = (Submerged Unit Weight*Angle of Mobilized Friction)/Saturated Unit Weight

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