Weighted Friction Angle given Submerged Unit Weight Solution

STEP 0: Pre-Calculation Summary
Formula Used
Weighted Friction Angle = (Submerged Unit Weight*Angle of Internal Friction)/Saturated Unit Weight
φw = (γ'*φ)/γsat
This formula uses 4 Variables
Variables Used
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.
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.
Angle of Internal Friction - (Measured in Radian) - Angle of Internal Friction is the angle measured between the normal force and resultant force .
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
Submerged Unit Weight: 31 Newton per Cubic Meter --> 31 Newton per Cubic Meter No Conversion Required
Angle of Internal Friction: 46 Degree --> 0.802851455917241 Radian (Check conversion here)
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
φw = (γ'*φ)/γsat --> (31*0.802851455917241)/9.98
Evaluating ... ...
φw = 2.4938271676788
STEP 3: Convert Result to Output's Unit
2.4938271676788 Radian -->142.885771543086 Degree (Check conversion here)
FINAL ANSWER
142.885771543086 142.8858 Degree <-- Weighted Friction Angle
(Calculation completed in 00.020 seconds)

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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

Weighted Friction Angle given Submerged Unit Weight Formula

Weighted Friction Angle = (Submerged Unit Weight*Angle of Internal Friction)/Saturated Unit Weight
φw = (γ'*φ)/γsat

What is Friction Angle?

The friction angle (ϕ) is the sum of the dilation angle determined by the roughness of the joint and the basic friction angle (ϕ b ) of the rock. At low normal stresses, the shear strength is affected only by the friction angle without cohesion.

How to Calculate Weighted Friction Angle given Submerged Unit Weight?

Weighted Friction Angle given Submerged Unit Weight calculator uses Weighted Friction Angle = (Submerged Unit Weight*Angle of Internal Friction)/Saturated Unit Weight to calculate the Weighted Friction Angle, The Weighted Friction Angle given Submerged Unit Weight is defined as the angle of internal friction for submerged soils, considering the submerged unit weight, influencing shear strength underwater. Weighted Friction Angle is denoted by φw symbol.

How to calculate Weighted Friction Angle given Submerged Unit Weight using this online calculator? To use this online calculator for Weighted Friction Angle given Submerged Unit Weight, enter Submerged Unit Weight '), Angle of Internal Friction (φ) & Saturated Unit Weight sat) and hit the calculate button. Here is how the Weighted Friction Angle given Submerged Unit Weight calculation can be explained with given input values -> 8170.378 = (31*0.802851455917241)/9.98.

FAQ

What is Weighted Friction Angle given Submerged Unit Weight?
The Weighted Friction Angle given Submerged Unit Weight is defined as the angle of internal friction for submerged soils, considering the submerged unit weight, influencing shear strength underwater and is represented as φw = (γ'*φ)/γsat or Weighted Friction Angle = (Submerged Unit Weight*Angle of Internal Friction)/Saturated Unit Weight. Submerged Unit Weight is the unit weight of weight of soil as observed underwater in a saturated condition of course, Angle of Internal Friction is the angle measured between the normal force and resultant force & 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 Weighted Friction Angle given Submerged Unit Weight?
The Weighted Friction Angle given Submerged Unit Weight is defined as the angle of internal friction for submerged soils, considering the submerged unit weight, influencing shear strength underwater is calculated using Weighted Friction Angle = (Submerged Unit Weight*Angle of Internal Friction)/Saturated Unit Weight. To calculate Weighted Friction Angle given Submerged Unit Weight, you need Submerged Unit Weight '), Angle of Internal Friction (φ) & Saturated Unit Weight sat). With our tool, you need to enter the respective value for Submerged Unit Weight, Angle of Internal Friction & 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 Weighted Friction Angle?
In this formula, Weighted Friction Angle uses Submerged Unit Weight, Angle of Internal Friction & Saturated Unit Weight. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Weighted Friction Angle = atan((Submerged Unit Weight/Saturated Unit Weight)*(tan((Angle of Internal Friction of Soil))/Factor of Safety))
  • Weighted Friction Angle = (Submerged Unit Weight*Angle of Mobilized Friction)/Saturated Unit Weight
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