Submerged Unit Weight given Weighted and Effective Friction Angle Calculator

✖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%
✖Effective Angle of Internal Friction is a measure of the shear strength of soils due to friction.ⓘ Effective Angle of Internal Friction [φ']			+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%
✖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 unit weight of weight of soil as observed underwater in a saturated condition of course.ⓘ Submerged Unit Weight given Weighted and Effective Friction Angle [γ^']

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Formula

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Submerged Unit Weight given Weighted and Effective Friction Angle

Formula

`"γ"^{"'"} = ("φ"_{"IF"}*(180/pi))/(("φ'"*(180/pi))/("f"_{"s"}*"γ"_{"sat"}))`

Example

`"30.76917N/m³"=("11°"*(180/pi))/(("9.99°"*(180/pi))/("2.8"*"9.98N/m³"))`

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Submerged Unit Weight given Weighted and Effective Friction Angle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Submerged Unit Weight = (Weighted Friction Angle for Internal Friction*(180/pi))/((Effective Angle of Internal Friction*(180/pi))/(Factor of Safety*Saturated Unit Weight))
γ^' = (φ_IF*(180/pi))/((φ'*(180/pi))/(f_s*γ_sat))
This formula uses 1 Constants, 5 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
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.
Effective Angle of Internal Friction - (Measured in Radian) - Effective Angle of Internal Friction is a measure of the shear strength of soils due to friction.
Factor of Safety - Factor of Safety expresses how much stronger a system is than it needs to be for an intended load.
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

Weighted Friction Angle for Internal Friction: 11 Degree --> 0.19198621771934 Radian (Check conversion here)
Effective Angle of Internal Friction: 9.99 Degree --> 0.174358392274201 Radian (Check conversion here)
Factor of Safety: 2.8 --> No Conversion Required
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

γ^' = (φ_IF*(180/pi))/((φ'*(180/pi))/(f_s*γ_sat)) --> (0.19198621771934*(180/pi))/((0.174358392274201*(180/pi))/(2.8*9.98))

Evaluating ... ...

γ^' = 30.7691691691691

STEP 3: Convert Result to Output's Unit

30.7691691691691 Newton per Cubic Meter --> No Conversion Required

FINAL ANSWER

30.7691691691691 ≈ 30.76917 Newton per Cubic Meter <-- Submerged Unit Weight

(Calculation completed in 00.004 seconds)

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

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

Suraj Kumar has created this Calculator and 2200+ more calculators!

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Meerut Institute of Engineering and Technology (MIET), Meerut

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< 18 Taylor's Stability Number and Stability Curves Calculators

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

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

Submerged Unit Weight given Weighted and Effective Friction Angle

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

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

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

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

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

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

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

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

Effective Angle of Internal Friction given Weighted Friction Angle

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

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

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

Weighted Friction Angle given Effective Angle of Internal Friction

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

Saturated Unit Weight given Weighted and Effective Friction Angle

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

Angle of Internal Friction given Weighted Friction Angle

Go Angle of Internal Friction = (Weighted Friction Angle*Saturated Unit Weight)/(Submerged Unit Weight)

Submerged Unit Weight given Weighted Friction Angle

Go Submerged Unit Weight = (Weighted Friction Angle*Saturated Unit Weight)/(Angle of Internal Friction)

Saturated Unit Weight given Weighted and Mobilised Friction Angle

Go Saturated Unit Weight = (Submerged Unit Weight*Angle of Mobilized Friction)/Weighted Friction Angle

Submerged Unit Weight given Weighted and Mobilised Friction Angle

Go Submerged Unit Weight = (Saturated Unit Weight*Weighted Friction Angle)/Angle of Mobilized Friction

Weighted Friction Angle given Mobilised Friction Angle

Go Weighted Friction Angle = (Submerged Unit Weight*Angle of Mobilized Friction)/Saturated Unit Weight

Mobilised Friction Angle given Weighted Friction Angle

Go Angle of Mobilized Friction = (Saturated Unit Weight*Weighted Friction Angle)/Submerged Unit Weight

Weighted Friction Angle given Submerged Unit Weight

Go Weighted Friction Angle = (Submerged Unit Weight*Angle of Internal Friction)/Saturated Unit Weight

Saturated Unit Weight given Weighted Friction Angle

Go Saturated Unit Weight = (Submerged Unit Weight*Angle of Internal Friction)/Weighted Friction Angle

Submerged Unit Weight given Weighted and Effective Friction Angle Formula

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 and Effective Friction Angle?

Submerged Unit Weight given Weighted and Effective Friction Angle calculator uses Submerged Unit Weight = (Weighted Friction Angle for Internal Friction*(180/pi))/((Effective Angle of Internal Friction*(180/pi))/(Factor of Safety*Saturated Unit Weight)) to calculate the Submerged Unit Weight, The Submerged Unit Weight given Weighted and Effective Friction Angle is defined as the weight per unit volume of a material submerged in water, affecting weighted and effective friction angles. Submerged Unit Weight is denoted by γ^' symbol.

How to calculate Submerged Unit Weight given Weighted and Effective Friction Angle using this online calculator? To use this online calculator for Submerged Unit Weight given Weighted and Effective Friction Angle, enter Weighted Friction Angle for Internal Friction (φ_IF), Effective Angle of Internal Friction (φ'), Factor of Safety (f_s) & Saturated Unit Weight (γ_sat) and hit the calculate button. Here is how the Submerged Unit Weight given Weighted and Effective Friction Angle calculation can be explained with given input values -> 30.83083 = (0.19198621771934*(180/pi))/((0.174358392274201*(180/pi))/(2.8*9.98)).

FAQ

What is Submerged Unit Weight given Weighted and Effective Friction Angle?

The Submerged Unit Weight given Weighted and Effective Friction Angle is defined as the weight per unit volume of a material submerged in water, affecting weighted and effective friction angles and is represented as γ^' = (φ_IF*(180/pi))/((φ'*(180/pi))/(f_s*γ_sat)) or Submerged Unit Weight = (Weighted Friction Angle for Internal Friction*(180/pi))/((Effective Angle of Internal Friction*(180/pi))/(Factor of Safety*Saturated Unit Weight)). Weighted Friction Angle for Internal Friction is an effective measure combining materials' friction properties and their relative contributions in geotechnical engineering for stability analysis, Effective Angle of Internal Friction is a measure of the shear strength of soils due to friction, Factor of Safety expresses how much stronger a system is than it needs to be for an intended load & 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 Submerged Unit Weight given Weighted and Effective Friction Angle?

The Submerged Unit Weight given Weighted and Effective Friction Angle is defined as the weight per unit volume of a material submerged in water, affecting weighted and effective friction angles is calculated using Submerged Unit Weight = (Weighted Friction Angle for Internal Friction*(180/pi))/((Effective Angle of Internal Friction*(180/pi))/(Factor of Safety*Saturated Unit Weight)). To calculate Submerged Unit Weight given Weighted and Effective Friction Angle, you need Weighted Friction Angle for Internal Friction (φ_IF), Effective Angle of Internal Friction (φ'), Factor of Safety (f_s) & Saturated Unit Weight (γ_sat). With our tool, you need to enter the respective value for Weighted Friction Angle for Internal Friction, Effective Angle of Internal Friction, Factor of Safety & 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 Submerged Unit Weight?

In this formula, Submerged Unit Weight uses Weighted Friction Angle for Internal Friction, Effective Angle of Internal Friction, Factor of Safety & Saturated Unit Weight. 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*pi)/180)/Factor of Safety))
Submerged Unit Weight = (Saturated Unit Weight*Weighted Friction Angle)/Angle of Mobilized Friction
Submerged Unit Weight = (Weighted Friction Angle*Saturated Unit Weight)/(Angle of Internal Friction)

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