Effective Angle of Internal Friction given Weighted Friction Angle Solution

STEP 0: Pre-Calculation Summary
Formula Used
Effective Angle of Internal Friction = Weighted Friction Angle for Internal Friction/((Submerged Unit Weight)/(Factor of Safety*Saturated Unit Weight))
φ' = φIF/((γ')/(fs*γsat))
This formula uses 5 Variables
Variables Used
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.
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.
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.
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)
Submerged Unit Weight: 31 Newton per Cubic Meter --> 31 Newton per Cubic Meter No Conversion Required
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
φ' = φIF/((γ')/(fssat)) --> 0.19198621771934/((31)/(2.8*9.98))
Evaluating ... ...
φ' = 0.173060092514491
STEP 3: Convert Result to Output's Unit
0.173060092514491 Radian -->9.9156129032258 Degree (Check conversion here)
FINAL ANSWER
9.9156129032258 9.915613 Degree <-- Effective Angle of Internal Friction
(Calculation completed in 00.020 seconds)

Credits

Created by Suraj Kumar
Birsa Institute of Technology (BIT), Sindri
Suraj Kumar has created this Calculator and 2200+ more calculators!
Verified by Ishita Goyal
Meerut Institute of Engineering and Technology (MIET), Meerut
Ishita Goyal has verified this Calculator and 2600+ more calculators!

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

Effective Angle of Internal Friction given Weighted Friction Angle Formula

Effective Angle of Internal Friction = Weighted Friction Angle for Internal Friction/((Submerged Unit Weight)/(Factor of Safety*Saturated Unit Weight))
φ' = φIF/((γ')/(fs*γsat))

What is Angle of Internal Friction?

The angle of internal friction is a physical property of earth materials or the slope of a linear representation of the shear strength of earth materials.

How to Calculate Effective Angle of Internal Friction given Weighted Friction Angle?

Effective Angle of Internal Friction given Weighted Friction Angle calculator uses Effective Angle of Internal Friction = Weighted Friction Angle for Internal Friction/((Submerged Unit Weight)/(Factor of Safety*Saturated Unit Weight)) to calculate the Effective Angle of Internal Friction, The Effective Angle of Internal Friction given Weighted Friction Angle is defined as effective angle of internal friction when we have prior information of other parameters used. Effective Angle of Internal Friction is denoted by φ' symbol.

How to calculate Effective Angle of Internal Friction given Weighted Friction Angle using this online calculator? To use this online calculator for Effective Angle of Internal Friction given Weighted Friction Angle, enter Weighted Friction Angle for Internal Friction IF), Submerged Unit Weight '), Factor of Safety (fs) & Saturated Unit Weight sat) and hit the calculate button. Here is how the Effective Angle of Internal Friction given Weighted Friction Angle calculation can be explained with given input values -> 569.2613 = 0.19198621771934/((31)/(2.8*9.98)).

FAQ

What is Effective Angle of Internal Friction given Weighted Friction Angle?
The Effective Angle of Internal Friction given Weighted Friction Angle is defined as effective angle of internal friction when we have prior information of other parameters used and is represented as φ' = φIF/((γ')/(fssat)) or Effective Angle of Internal Friction = Weighted Friction Angle for Internal Friction/((Submerged Unit Weight)/(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, Submerged Unit Weight is the unit weight of weight of soil as observed underwater in a saturated condition of course, 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 Effective Angle of Internal Friction given Weighted Friction Angle?
The Effective Angle of Internal Friction given Weighted Friction Angle is defined as effective angle of internal friction when we have prior information of other parameters used is calculated using Effective Angle of Internal Friction = Weighted Friction Angle for Internal Friction/((Submerged Unit Weight)/(Factor of Safety*Saturated Unit Weight)). To calculate Effective Angle of Internal Friction given Weighted Friction Angle, you need Weighted Friction Angle for Internal Friction IF), Submerged Unit Weight '), 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, Submerged Unit Weight, 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.
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!