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Effective Angle of Internal Friction is a measure of the shear strength of soils due to friction. Check FAQs
φ'=atan((Sfs)-(c'l)P-(ul))
φ' - Effective Angle of Internal Friction?S - Shear Force on Slice in Soil Mechanics?fs - Factor of Safety?c' - Effective Cohesion?l - Length of Arc?P - Total Normal Force?u - Upward Force?

Effective Angle of Internal Friction given Shear Force in Bishop's Analysis Example

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With units
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Here is how the Effective Angle of Internal Friction given Shear Force in Bishop's Analysis equation looks like with Values.

Here is how the Effective Angle of Internal Friction given Shear Force in Bishop's Analysis equation looks like with Units.

Here is how the Effective Angle of Internal Friction given Shear Force in Bishop's Analysis equation looks like.

9.8741Edit=atan((11.07Edit2.8Edit)-(4Edit9.42Edit)150Edit-(20Edit9.42Edit))
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Effective Angle of Internal Friction given Shear Force in Bishop's Analysis Solution

Follow our step by step solution on how to calculate Effective Angle of Internal Friction given Shear Force in Bishop's Analysis?

FIRST Step Consider the formula
φ'=atan((Sfs)-(c'l)P-(ul))
Next Step Substitute values of Variables
φ'=atan((11.07N2.8)-(4Pa9.42m)150N-(20Pa9.42m))
Next Step Prepare to Evaluate
φ'=atan((11.072.8)-(49.42)150-(209.42))
Next Step Evaluate
φ'=0.17233587966936rad
Next Step Convert to Output's Unit
φ'=9.87411856373062°
LAST Step Rounding Answer
φ'=9.8741°

Effective Angle of Internal Friction given Shear Force in Bishop's Analysis Formula Elements

Variables
Functions
Effective Angle of Internal Friction
Effective Angle of Internal Friction is a measure of the shear strength of soils due to friction.
Symbol: φ'
Measurement: AngleUnit: °
Note: Value should be greater than 0.
Shear Force on Slice in Soil Mechanics
Shear Force on Slice in Soil Mechanics acting along the base of slice.
Symbol: S
Measurement: ForceUnit: N
Note: Value should be greater than 0.
Factor of Safety
Factor of Safety expresses how much stronger a system is than it needs to be for an intended load.
Symbol: fs
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
Effective Cohesion
Effective Cohesion is the consistency of soft to hard defined on the basis of the standard CSN 73 1001 for different states of consistency and degree of saturation.
Symbol: c'
Measurement: PressureUnit: Pa
Note: Value should be greater than 0.
Length of Arc
Length of Arc of the slice taken into consideration.
Symbol: l
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Total Normal Force
Total normal force acting at the base of the slice.
Symbol: P
Measurement: ForceUnit: N
Note: Value should be greater than 0.
Upward Force
Upward Force due to seepage water.
Symbol: u
Measurement: PressureUnit: Pa
Note: Value should be greater than 0.
tan
The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle.
Syntax: tan(Angle)
atan
Inverse tan is used to calculate the angle by applying the tangent ratio of the angle, which is the opposite side divided by the adjacent side of the right triangle.
Syntax: atan(Number)

Other Formulas to find Effective Angle of Internal Friction

​Go Effective Angle of Internal Friction given Shear Strength
φ'=atan(ζ soil-c'σnm-u)

Other formulas in Slope Stability Analysis using Bishops Method category

​Go Normal Stress on Slice
σnormal=Pl
​Go Length of Arc of Slice
l=Pσnormal

How to Evaluate Effective Angle of Internal Friction given Shear Force in Bishop's Analysis?

Effective Angle of Internal Friction given Shear Force in Bishop's Analysis evaluator uses Effective Angle of Internal Friction = atan(((Shear Force on Slice in Soil Mechanics*Factor of Safety)-(Effective Cohesion*Length of Arc))/(Total Normal Force-(Upward Force*Length of Arc))) to evaluate the Effective Angle of Internal Friction, The Effective Angle of Internal Friction given Shear Force in Bishop's Analysis is defined as the value of 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 evaluate Effective Angle of Internal Friction given Shear Force in Bishop's Analysis using this online evaluator? To use this online evaluator for Effective Angle of Internal Friction given Shear Force in Bishop's Analysis, enter Shear Force on Slice in Soil Mechanics (S), Factor of Safety (fs), Effective Cohesion (c'), Length of Arc (l), Total Normal Force (P) & Upward Force (u) and hit the calculate button.

FAQs on Effective Angle of Internal Friction given Shear Force in Bishop's Analysis

What is the formula to find Effective Angle of Internal Friction given Shear Force in Bishop's Analysis?
The formula of Effective Angle of Internal Friction given Shear Force in Bishop's Analysis is expressed as Effective Angle of Internal Friction = atan(((Shear Force on Slice in Soil Mechanics*Factor of Safety)-(Effective Cohesion*Length of Arc))/(Total Normal Force-(Upward Force*Length of Arc))). Here is an example- 1801.86 = atan(((11.07*2.8)-(4*9.42))/(150-(20*9.42))).
How to calculate Effective Angle of Internal Friction given Shear Force in Bishop's Analysis?
With Shear Force on Slice in Soil Mechanics (S), Factor of Safety (fs), Effective Cohesion (c'), Length of Arc (l), Total Normal Force (P) & Upward Force (u) we can find Effective Angle of Internal Friction given Shear Force in Bishop's Analysis using the formula - Effective Angle of Internal Friction = atan(((Shear Force on Slice in Soil Mechanics*Factor of Safety)-(Effective Cohesion*Length of Arc))/(Total Normal Force-(Upward Force*Length of Arc))). This formula also uses Tangent (tan), Inverse Tan (atan) function(s).
What are the other ways to Calculate Effective Angle of Internal Friction?
Here are the different ways to Calculate Effective Angle of Internal Friction-
  • Effective Angle of Internal Friction=atan((Shear Strength-Effective Cohesion)/(Normal Stress in Mega Pascal-Upward Force))OpenImg
Can the Effective Angle of Internal Friction given Shear Force in Bishop's Analysis be negative?
No, the Effective Angle of Internal Friction given Shear Force in Bishop's Analysis, measured in Angle cannot be negative.
Which unit is used to measure Effective Angle of Internal Friction given Shear Force in Bishop's Analysis?
Effective Angle of Internal Friction given Shear Force in Bishop's Analysis is usually measured using the Degree[°] for Angle. Radian[°], Minute[°], Second[°] are the few other units in which Effective Angle of Internal Friction given Shear Force in Bishop's Analysis can be measured.
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