Submerged Unit Weight 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%
✖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%

✖Submerged Unit Weight is the effective weight of the soil per unit volume when it is submerged in water.ⓘ Submerged Unit Weight given Weighted Friction Angle [γ^']

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Submerged Unit Weight given Weighted Friction Angle Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
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.

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
Internal Friction Angle with Weighted Frict. Angle: 41.85 Degree --> 0.73042029195949 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

γ^' = (φ_w*γ_sat)/(φ_iw) --> (2.2689280275922*9.98)/(0.73042029195949)

Evaluating ... ...

γ^' = 31.0011947431302

STEP 3: Convert Result to Output's Unit

31.0011947431302 Newton per Cubic Meter --> No Conversion Required

FINAL ANSWER

31.0011947431302 ≈ 31.00119 Newton per Cubic Meter <-- Submerged Unit Weight

(Calculation completed in 00.017 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))

Submerged Unit Weight given Weighted Friction Angle Formula

LaTeX Go

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

What is Submerged Unit Weight?

The weight of the solids in air minus the weight of water displaced by the solids per unit of volume of soil mass; the saturated unit weight minus the unit weight of water.

How to Calculate Submerged Unit Weight given Weighted Friction Angle?

Submerged Unit Weight given Weighted Friction Angle calculator uses Submerged Unit Weight = (Weighted Friction Angle*Saturated Unit Weight)/(Internal Friction Angle with Weighted Frict. Angle) to calculate the Submerged Unit Weight, The Submerged Unit Weight given Weighted Friction Angle formula is defined as the value of effective weight per unit volume of soil when submerged in water. It accounts for the buoyant force exerted by the water, which reduces the weight of the soil and considering the weighted friction angle. Submerged Unit Weight is denoted by γ^' symbol.

How to calculate Submerged Unit Weight given Weighted Friction Angle using this online calculator? To use this online calculator for Submerged Unit Weight given Weighted Friction Angle, enter Weighted Friction Angle (φ_w), Saturated Unit Weight (γ_sat) & Internal Friction Angle with Weighted Frict. Angle (φ_iw) and hit the calculate button. Here is how the Submerged Unit Weight given Weighted Friction Angle calculation can be explained with given input values -> 31.00119 = (2.2689280275922*9.98)/(0.73042029195949).

FAQ

What is Submerged Unit Weight given Weighted Friction Angle?

The Submerged Unit Weight given Weighted Friction Angle formula is defined as the value of effective weight per unit volume of soil when submerged in water. It accounts for the buoyant force exerted by the water, which reduces the weight of the soil and considering the weighted friction angle and is represented as γ^' = (φ_w*γ_sat)/(φ_iw) or Submerged Unit Weight = (Weighted Friction Angle*Saturated Unit Weight)/(Internal Friction Angle with Weighted Frict. Angle). 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 & 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.

How to calculate Submerged Unit Weight given Weighted Friction Angle?

The Submerged Unit Weight given Weighted Friction Angle formula is defined as the value of effective weight per unit volume of soil when submerged in water. It accounts for the buoyant force exerted by the water, which reduces the weight of the soil and considering the weighted friction angle is calculated using Submerged Unit Weight = (Weighted Friction Angle*Saturated Unit Weight)/(Internal Friction Angle with Weighted Frict. Angle). To calculate Submerged Unit Weight given Weighted Friction Angle, you need Weighted Friction Angle (φ_w), Saturated Unit Weight (γ_sat) & Internal Friction Angle with Weighted Frict. Angle (φ_iw). With our tool, you need to enter the respective value for Weighted Friction Angle, Saturated Unit Weight & Internal Friction Angle with Weighted Frict. Angle 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 Submerged Unit Weight?

In this formula, Submerged Unit Weight uses Weighted Friction Angle, Saturated Unit Weight & Internal Friction Angle with Weighted Frict. Angle. We can use 3 other way(s) to calculate the same, which is/are as follows -

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))
Submerged Unit Weight = (Saturated Unit Weight*Weighted Friction Angle)/Angle of Mobilized Friction
Submerged Unit Weight = (Weighted Friction Angle for Internal Friction*(180/pi))/((Effective Angle of Internal Friction*(180/pi))/(Factor of Safety*Saturated Unit Weight))

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