Angle of Internal Friction given Weighted Friction Angle Calculator

✖Weighted Friction Angle is an effective measure combining materials' friction properties and their relative contributions in geotechnical engineering for stability analysis.ⓘ Weighted Friction Angle [φ_w]			+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%
✖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.ⓘ Angle of Internal Friction given Weighted Friction Angle [φ_iw]

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Angle of Internal Friction given Weighted Friction Angle Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Weighted Friction Angle: 130 Degree --> 2.2689280275922 Radian (Check conversion here)
Saturated Unit Weight: 9.98 Newton per Cubic Meter --> 9.98 Newton per Cubic Meter No Conversion Required
Submerged Unit Weight: 31 Newton per Cubic Meter --> 31 Newton per Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

φ_iw = (φ_w*γ_sat)/(γ^') --> (2.2689280275922*9.98)/(31)

Evaluating ... ...

φ_iw = 0.730448442431295

STEP 3: Convert Result to Output's Unit

0.730448442431295 Radian -->41.8516129032258 Degree (Check conversion here)

FINAL ANSWER

41.8516129032258 ≈ 41.85161 Degree <-- Internal Friction Angle with Weighted Frict. Angle

(Calculation completed in 00.020 seconds)

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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))

Angle of Internal Friction given Weighted Friction Angle Formula

LaTeX Go

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

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 Weighted Friction Angle?

Angle of Internal Friction given Weighted Friction Angle calculator uses Internal Friction Angle with Weighted Frict. Angle = (Weighted Friction Angle*Saturated Unit Weight)/(Submerged Unit Weight) to calculate the Internal Friction Angle with Weighted Frict. Angle, The Angle of Internal Friction given Weighted Friction Angle formula is defined as a measure of the shear strength of a soil due to friction. It represents the angle at which the soil particles resist sliding over each other. This parameter is crucial in understanding the stability and behavior of soil under different loading conditions, considering weighted friction angle. Internal Friction Angle with Weighted Frict. Angle is denoted by φ_iw symbol.

How to calculate Angle of Internal Friction given Weighted Friction Angle using this online calculator? To use this online calculator for Angle of Internal Friction given Weighted Friction Angle, enter Weighted Friction Angle (φ_w), Saturated Unit Weight (γ_sat) & Submerged Unit Weight (γ^') and hit the calculate button. Here is how the Angle of Internal Friction given Weighted Friction Angle calculation can be explained with given input values -> 2397.921 = (2.2689280275922*9.98)/(31).

FAQ

What is Angle of Internal Friction given Weighted Friction Angle?

The Angle of Internal Friction given Weighted Friction Angle formula is defined as a measure of the shear strength of a soil due to friction. It represents the angle at which the soil particles resist sliding over each other. This parameter is crucial in understanding the stability and behavior of soil under different loading conditions, considering weighted friction angle and is represented as φ_iw = (φ_w*γ_sat)/(γ^') or Internal Friction Angle with Weighted Frict. Angle = (Weighted Friction Angle*Saturated Unit Weight)/(Submerged Unit Weight). Weighted Friction Angle is an effective measure combining materials' friction properties and their relative contributions in geotechnical engineering for stability analysis, 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 & Submerged Unit Weight is the effective weight of the soil per unit volume when it is submerged in water.

How to calculate Angle of Internal Friction given Weighted Friction Angle?

The Angle of Internal Friction given Weighted Friction Angle formula is defined as a measure of the shear strength of a soil due to friction. It represents the angle at which the soil particles resist sliding over each other. This parameter is crucial in understanding the stability and behavior of soil under different loading conditions, considering weighted friction angle is calculated using Internal Friction Angle with Weighted Frict. Angle = (Weighted Friction Angle*Saturated Unit Weight)/(Submerged Unit Weight). To calculate Angle of Internal Friction given Weighted Friction Angle, you need Weighted Friction Angle (φ_w), Saturated Unit Weight (γ_sat) & Submerged Unit Weight (γ^'). With our tool, you need to enter the respective value for Weighted Friction Angle, Saturated Unit Weight & 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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