Weighted Friction Angle given Effective Angle of Internal Friction Solution

STEP 0: Pre-Calculation Summary
Formula Used
Weighted Friction Angle for Internal Friction = (Submerged Unit Weight*Effective Angle of Internal Friction)/(Factor of Safety*Saturated Unit Weight)
φIF = (γ'*φ')/(fs*γsat)
This formula uses 5 Variables
Variables Used
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.
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
Submerged Unit Weight: 31 Newton per Cubic Meter --> 31 Newton per Cubic Meter No Conversion Required
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
φIF = (γ'*φ')/(fssat) --> (31*0.174358392274201)/(2.8*9.98)
Evaluating ... ...
φIF = 0.193426501592479
STEP 3: Convert Result to Output's Unit
0.193426501592479 Radian -->11.0825221872316 Degree (Check conversion here)
FINAL ANSWER
11.0825221872316 11.08252 Degree <-- Weighted Friction Angle for Internal Friction
(Calculation completed in 00.004 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

Weighted Friction Angle given Effective Angle of Internal Friction Formula

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

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

Weighted Friction Angle given Effective Angle of Internal Friction calculator uses Weighted Friction Angle for Internal Friction = (Submerged Unit Weight*Effective Angle of Internal Friction)/(Factor of Safety*Saturated Unit Weight) to calculate the Weighted Friction Angle for Internal Friction, The Weighted Friction Angle given Effective Angle of Internal Friction is defined as a measure of shear strength, is derived from the effective angle of internal friction in soil mechanics. Weighted Friction Angle for Internal Friction is denoted by φIF symbol.

How to calculate Weighted Friction Angle given Effective Angle of Internal Friction using this online calculator? To use this online calculator for Weighted Friction Angle given Effective Angle of Internal Friction, enter Submerged Unit Weight '), Effective Angle of Internal Friction (φ'), Factor of Safety (fs) & Saturated Unit Weight sat) and hit the calculate button. Here is how the Weighted Friction Angle given Effective Angle of Internal Friction calculation can be explained with given input values -> 633.7118 = (31*0.174358392274201)/(2.8*9.98).

FAQ

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