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' = (φIF*(180/pi))/((φ'*(180/pi))/(fs*γsat))
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 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.
Effective Angle of Internal Friction - (Measured in Radian) - Effective Angle of Internal Friction is the shear strength of soil due to the friction between soil particles when subjected to effective stress.
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.
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' = (φIF*(180/pi))/((φ'*(180/pi))/(fssat)) --> (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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Birsa Institute of Technology (BIT), Sindri
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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 and Effective Friction Angle Formula

​LaTeX ​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))
γ' = (φIF*(180/pi))/((φ'*(180/pi))/(fs*γsat))

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 IF), Effective Angle of Internal Friction (φ'), Factor of Safety (fs) & Saturated Unit Weight 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 -> 30.76917 = (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' = (φIF*(180/pi))/((φ'*(180/pi))/(fssat)) 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 the shear strength of soil due to the friction between soil particles when subjected to effective stress, 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 & 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 IF), Effective Angle of Internal Friction (φ'), Factor of Safety (fs) & Saturated Unit Weight 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 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*Saturated Unit Weight)/(Internal Friction Angle with Weighted Frict. Angle)
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