Saturated Unit Weight given Factor of Safety with respect to Shear Strength 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%
✖Weighted Friction Angle for Internal Friction is an effective measure combining materials' friction properties and their relative contributions in geotechnical engineering for stability analysis.ⓘ Weighted Friction Angle for Internal Friction [φ_IF]			+10% -10%
✖Angle of Internal Friction is the angle measured between the normal force and resultant force.ⓘ Angle of Internal Friction [φ]			+10% -10%
✖Factor of Safety is a measure of the load-carrying capacity of a structure or material compared to the actual load or stress that is applied to it.ⓘ Factor of Safety [f_s]			+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 given Factor of Safety with respect to Shear Strength [γ_sat]

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

STEP 0: Pre-Calculation Summary

Formula Used

Saturated Unit Weight = ((Submerged Unit Weight/tan((Weighted Friction Angle for Internal Friction)))*(tan((Angle of Internal Friction))/Factor of Safety))
γ_sat = ((γ^'/tan((φ_IF)))*(tan((φ))/f_s))
This formula uses 1 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)

Variables Used

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.
Weighted Friction Angle for Internal Friction - (Measured in Radian) - Weighted Friction Angle for Internal Friction is an effective measure combining materials' friction properties and their relative contributions in geotechnical engineering for stability analysis.
Angle of Internal Friction - (Measured in Radian) - Angle of Internal Friction is the angle measured between the normal force and resultant force.
Factor of Safety - Factor of Safety is a measure of the load-carrying capacity of a structure or material compared to the actual load or stress that is applied to it.

STEP 1: Convert Input(s) to Base Unit

Submerged Unit Weight: 31 Newton per Cubic Meter --> 31 Newton per Cubic Meter No Conversion Required
Weighted Friction Angle for Internal Friction: 11 Degree --> 0.19198621771934 Radian (Check conversion here)
Angle of Internal Friction: 9.93 Degree --> 0.173311194723004 Radian (Check conversion here)
Factor of Safety: 2.8 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

γ_sat = ((γ^'/tan((φ_IF)))*(tan((φ))/f_s)) --> ((31/tan((0.19198621771934)))*(tan((0.173311194723004))/2.8))

Evaluating ... ...

γ_sat = 9.97142008324347

STEP 3: Convert Result to Output's Unit

9.97142008324347 Newton per Cubic Meter --> No Conversion Required

FINAL ANSWER

9.97142008324347 ≈ 9.97142 Newton per Cubic Meter <-- Saturated Unit Weight

(Calculation completed in 00.020 seconds)

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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))

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

LaTeX Go

What is Saturated Unit Weight?

Saturated unit weight is equal to the bulk density when the total voids is filled up with water.Buoyant unit weight or submerged unit weight is the effective mass per unit volume when the soil is submerged below standing water or below the ground water table.

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

Saturated Unit Weight given Factor of Safety with respect to Shear Strength calculator uses Saturated Unit Weight = ((Submerged Unit Weight/tan((Weighted Friction Angle for Internal Friction)))*(tan((Angle of Internal Friction))/Factor of Safety)) to calculate the Saturated Unit Weight, The Saturated Unit Weight given Factor of Safety with respect to Shear Strength is defined as 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, calculated when we have prior information of other parameters used. Saturated Unit Weight is denoted by γ_sat symbol.

How to calculate Saturated Unit Weight given Factor of Safety with respect to Shear Strength using this online calculator? To use this online calculator for Saturated Unit Weight given Factor of Safety with respect to Shear Strength, enter Submerged Unit Weight (γ^'), Weighted Friction Angle for Internal Friction (φ_IF), Angle of Internal Friction (φ) & Factor of Safety (f_s) and hit the calculate button. Here is how the Saturated Unit Weight given Factor of Safety with respect to Shear Strength calculation can be explained with given input values -> 58.98128 = ((31/tan((0.19198621771934)))*(tan((0.173311194723004))/2.8)).

FAQ

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

The Saturated Unit Weight given Factor of Safety with respect to Shear Strength is defined as 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, calculated when we have prior information of other parameters used and is represented as γ_sat = ((γ^'/tan((φ_IF)))*(tan((φ))/f_s)) or Saturated Unit Weight = ((Submerged Unit Weight/tan((Weighted Friction Angle for Internal Friction)))*(tan((Angle of Internal Friction))/Factor of Safety)). Submerged Unit Weight is the effective weight of the soil per unit volume when it is submerged in water, Weighted Friction Angle for Internal Friction is an effective measure combining materials' friction properties and their relative contributions in geotechnical engineering for stability analysis, Angle of Internal Friction is the angle measured between the normal force and resultant force & Factor of Safety is a measure of the load-carrying capacity of a structure or material compared to the actual load or stress that is applied to it.

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

The Saturated Unit Weight given Factor of Safety with respect to Shear Strength is defined as 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, calculated when we have prior information of other parameters used is calculated using Saturated Unit Weight = ((Submerged Unit Weight/tan((Weighted Friction Angle for Internal Friction)))*(tan((Angle of Internal Friction))/Factor of Safety)). To calculate Saturated Unit Weight given Factor of Safety with respect to Shear Strength, you need Submerged Unit Weight (γ^'), Weighted Friction Angle for Internal Friction (φ_IF), Angle of Internal Friction (φ) & Factor of Safety (f_s). With our tool, you need to enter the respective value for Submerged Unit Weight, Weighted Friction Angle for Internal Friction, Angle of Internal Friction & Factor of Safety 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 Saturated Unit Weight?

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

Saturated Unit Weight = (Submerged Unit Weight*Angle of Mobilized Friction)/Weighted Friction Angle
Saturated Unit Weight = (Submerged Unit Weight*Effective Angle of Internal Friction)/(Weighted Friction Angle for Internal Friction*Factor of Safety)
Saturated Unit Weight = (Submerged Unit Weight*Internal Friction Angle with Weighted Frict. Angle)/Weighted Friction Angle

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