Submerged Unit Weight given Weighted and Mobilised Friction Angle Calculator

✖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 [φ_w]			+10% -10%
✖Angle of Mobilized Friction is the slope angle at which an object starts sliding due to applied force.ⓘ Angle of Mobilized Friction [φ_m]			+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 Mobilised Friction Angle [γ^']

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Formula

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Submerged Unit Weight given Weighted and Mobilised Friction Angle

Formula

`"γ"^{"'"} = ("γ"_{"sat"}*"φ"_{"w"})/"φ"_{"m"}`

Example

`"32.435N/m³"=("9.98N/m³"*"130°")/"40°"`

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Submerged Unit Weight given Weighted and Mobilised Friction Angle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Submerged Unit Weight = (Saturated Unit Weight*Weighted Friction Angle)/Angle of Mobilized Friction
γ^' = (γ_sat*φ_w)/φ_m
This formula uses 4 Variables

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.
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.
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.
Angle of Mobilized Friction - (Measured in Radian) - Angle of Mobilized Friction is the slope angle at which an object starts sliding due to applied force.

STEP 1: Convert Input(s) to Base Unit

Saturated Unit Weight: 9.98 Newton per Cubic Meter --> 9.98 Newton per Cubic Meter No Conversion Required
Weighted Friction Angle: 130 Degree --> 2.2689280275922 Radian (Check conversion here)
Angle of Mobilized Friction: 40 Degree --> 0.698131700797601 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

γ^' = (γ_sat*φ_w)/φ_m --> (9.98*2.2689280275922)/0.698131700797601

Evaluating ... ...

γ^' = 32.435

STEP 3: Convert Result to Output's Unit

32.435 Newton per Cubic Meter --> No Conversion Required

FINAL ANSWER

32.435 Newton per Cubic Meter <-- Submerged Unit Weight

(Calculation completed in 00.004 seconds)

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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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 Mobilised Friction Angle Formula

Submerged Unit Weight = (Saturated Unit Weight*Weighted Friction Angle)/Angle of Mobilized Friction
γ^' = (γ_sat*φ_w)/φ_m

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 Mobilised Friction Angle?

Submerged Unit Weight given Weighted and Mobilised Friction Angle calculator uses Submerged Unit Weight = (Saturated Unit Weight*Weighted Friction Angle)/Angle of Mobilized Friction to calculate the Submerged Unit Weight, The Submerged Unit Weight given Weighted and Mobilised Friction Angle is defined as the weight of soil under water. Weighted and mobilized friction angles relate to soil stability underwater. Submerged Unit Weight is denoted by γ^' symbol.

How to calculate Submerged Unit Weight given Weighted and Mobilised Friction Angle using this online calculator? To use this online calculator for Submerged Unit Weight given Weighted and Mobilised Friction Angle, enter Saturated Unit Weight (γ_sat), Weighted Friction Angle (φ_w) & Angle of Mobilized Friction (φ_m) and hit the calculate button. Here is how the Submerged Unit Weight given Weighted and Mobilised Friction Angle calculation can be explained with given input values -> 32.5 = (9.98*2.2689280275922)/0.698131700797601.

FAQ

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

The Submerged Unit Weight given Weighted and Mobilised Friction Angle is defined as the weight of soil under water. Weighted and mobilized friction angles relate to soil stability underwater and is represented as γ^' = (γ_sat*φ_w)/φ_m or Submerged Unit Weight = (Saturated Unit Weight*Weighted Friction Angle)/Angle of Mobilized 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, Weighted Friction Angle is an effective measure combining materials' friction properties and their relative contributions in geotechnical engineering for stability analysis & Angle of Mobilized Friction is the slope angle at which an object starts sliding due to applied force.

How to calculate Submerged Unit Weight given Weighted and Mobilised Friction Angle?

The Submerged Unit Weight given Weighted and Mobilised Friction Angle is defined as the weight of soil under water. Weighted and mobilized friction angles relate to soil stability underwater is calculated using Submerged Unit Weight = (Saturated Unit Weight*Weighted Friction Angle)/Angle of Mobilized Friction. To calculate Submerged Unit Weight given Weighted and Mobilised Friction Angle, you need Saturated Unit Weight (γ_sat), Weighted Friction Angle (φ_w) & Angle of Mobilized Friction (φ_m). With our tool, you need to enter the respective value for Saturated Unit Weight, Weighted Friction Angle & Angle of Mobilized Friction 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 Saturated Unit Weight, Weighted Friction Angle & Angle of Mobilized Friction. 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 = (Weighted Friction Angle for Internal Friction*(180/pi))/((Effective Angle of Internal Friction*(180/pi))/(Factor of Safety*Saturated Unit Weight))
Submerged Unit Weight = (Weighted Friction Angle*Saturated Unit Weight)/(Angle of Internal Friction)

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