Angle of Internal Friction given Bearing Capacity by by Vesic's Analysis Solution

STEP 0: Pre-Calculation Summary
Formula Used
Angle of Internal Friction = atan(Bearing Capacity Factor dependent on Unit Weight/(2*(Bearing Capacity Factor dependent on Surcharge+1)))
φ = atan(Nγ/(2*(Nq+1)))
This formula uses 2 Functions, 3 Variables
Functions Used
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., 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., atan(Number)
Variables Used
Angle of Internal Friction - (Measured in Radian) - Angle of Internal Friction is the angle measured between the normal force and resultant force .
Bearing Capacity Factor dependent on Unit Weight - Bearing Capacity Factor dependent on Unit Weight is a constant whose value depends upon unit weight of soil.
Bearing Capacity Factor dependent on Surcharge - Bearing Capacity Factor dependent on Surcharge is a constant whose value depends upon surcharge.
STEP 1: Convert Input(s) to Base Unit
Bearing Capacity Factor dependent on Unit Weight: 1.6 --> No Conversion Required
Bearing Capacity Factor dependent on Surcharge: 2.01 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
φ = atan(Nγ/(2*(Nq+1))) --> atan(1.6/(2*(2.01+1)))
Evaluating ... ...
φ = 0.25977509100537
STEP 3: Convert Result to Output's Unit
0.25977509100537 Radian -->14.8840163372374 Degree (Check conversion here)
FINAL ANSWER
14.8840163372374 14.88402 Degree <-- Angle of Internal Friction
(Calculation completed in 00.004 seconds)

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16 Bearing Capacity of Soils Calculators

Ultimate Bearing Capacity of Soil under Long Footing at Surface of Soil
Go Ultimate Bearing Capacity = ((Prandtls Cohesion/tan(Angle of Internal Friction))+(0.5*Dry Unit Weight of Soil*Width of Footing*sqrt(Coefficient of Passive Pressure))*(Coefficient of Passive Pressure*exp(pi*tan(Angle of Internal Friction))-1))
Safe Bearing Capacity given Net Ultimate Bearing Capacity
Go Safe Bearing Capacity = (Net Ultimate Bearing Capacity in Soil/Factor of Safety in Bearing Capacity of Soil)+(Unit Weight of Soil*Depth of Footing in Soil)
Bearing Capacity Factor Dependent on Unit Weight by Vesic's Analysis
Go Bearing Capacity Factor dependent on Unit Weight = 2*(Bearing Capacity Factor dependent on Surcharge+1)*tan((Angle of Internal Friction of Soil*pi)/180)
Net Safe Bearing Capacity given Ultimate Bearing Capacity
Go Net Safe Bearing Capacity in Soil = (Ultimate Bearing Capacity in Soil-Effective Surcharge in KiloPascal)/Factor of Safety in Bearing Capacity of Soil
Ultimate Bearing Capacity given Factor of Safety
Go Ultimate Bearing Capacity = (Net Safe Bearing Capacity in Soil*Factor of Safety in Bearing Capacity of Soil)+Effective Surcharge in KiloPascal
Angle of Internal Friction given Bearing Capacity by by Vesic's Analysis
Go Angle of Internal Friction = atan(Bearing Capacity Factor dependent on Unit Weight/(2*(Bearing Capacity Factor dependent on Surcharge+1)))
Ultimate Bearing Capacity given Depth of Footing
Go Ultimate Bearing Capacity = Net Ultimate Bearing Capacity in Soil+(Unit Weight of Soil*Depth of Footing in Soil)
Safe Bearing Capacity
Go Safe Bearing Capacity = Net Safe Bearing Capacity in Soil+(Unit Weight of Soil*Depth of Footing in Soil)
Depth of Footing given Safe Bearing Capacity
Go Depth of Footing = (Safe Bearing Capacity-Net Safe Bearing Capacity in Soil)/Unit Weight of Soil
Net Ultimate Bearing Capacity given Net Safe Bearing Capacity
Go Net Ultimate Bearing Capacity in Soil = Net Safe Bearing Capacity in Soil*Factor of Safety in Bearing Capacity of Soil
Net Safe Bearing Capacity
Go Net Safe Bearing Capacity in Soil = Net Ultimate Bearing Capacity in Soil/Factor of Safety in Bearing Capacity of Soil
Net Ultimate Bearing Capacity given Ultimate Bearing Capacity
Go Net Ultimate Bearing Capacity in Soil = Ultimate Bearing Capacity in Soil-Effective Surcharge in KiloPascal
Ultimate Bearing Capacity
Go Ultimate Bearing Capacity = Net Ultimate Bearing Capacity in Soil+Effective Surcharge in KiloPascal
Effective Surcharge given Depth of Footing
Go Effective Surcharge in KiloPascal = Unit Weight of Soil*Depth of Footing
Effective Surcharge given Net Pressure Intensity
Go Effective Surcharge in KiloPascal = Gross Pressure-Net Pressure
Net Pressure Intensity
Go Net Pressure = Gross Pressure-Effective Surcharge in KiloPascal

Angle of Internal Friction given Bearing Capacity by by Vesic's Analysis Formula

Angle of Internal Friction = atan(Bearing Capacity Factor dependent on Unit Weight/(2*(Bearing Capacity Factor dependent on Surcharge+1)))
φ = atan(Nγ/(2*(Nq+1)))

What is Angle of Internal Friction?

A measure of the ability of a unit of rock or soil to withstand a shear stress. It is the angle (φ), measured between the normal force (N) and resultant force (R), that is attained when failure just occurs in response to a shearing stress (S).

How to Calculate Angle of Internal Friction given Bearing Capacity by by Vesic's Analysis?

Angle of Internal Friction given Bearing Capacity by by Vesic's Analysis calculator uses Angle of Internal Friction = atan(Bearing Capacity Factor dependent on Unit Weight/(2*(Bearing Capacity Factor dependent on Surcharge+1))) to calculate the Angle of Internal Friction, The Angle of Internal Friction given Bearing Capacity by by Vesic's Analysis is defined as the value of angle of internal friction when we have prior information of other parameters used. Angle of Internal Friction is denoted by φ symbol.

How to calculate Angle of Internal Friction given Bearing Capacity by by Vesic's Analysis using this online calculator? To use this online calculator for Angle of Internal Friction given Bearing Capacity by by Vesic's Analysis, enter Bearing Capacity Factor dependent on Unit Weight (Nγ) & Bearing Capacity Factor dependent on Surcharge (Nq) and hit the calculate button. Here is how the Angle of Internal Friction given Bearing Capacity by by Vesic's Analysis calculation can be explained with given input values -> 855.5072 = atan(1.6/(2*(2.01+1))).

FAQ

What is Angle of Internal Friction given Bearing Capacity by by Vesic's Analysis?
The Angle of Internal Friction given Bearing Capacity by by Vesic's Analysis is defined as the value of angle of internal friction when we have prior information of other parameters used and is represented as φ = atan(Nγ/(2*(Nq+1))) or Angle of Internal Friction = atan(Bearing Capacity Factor dependent on Unit Weight/(2*(Bearing Capacity Factor dependent on Surcharge+1))). Bearing Capacity Factor dependent on Unit Weight is a constant whose value depends upon unit weight of soil & Bearing Capacity Factor dependent on Surcharge is a constant whose value depends upon surcharge.
How to calculate Angle of Internal Friction given Bearing Capacity by by Vesic's Analysis?
The Angle of Internal Friction given Bearing Capacity by by Vesic's Analysis is defined as the value of angle of internal friction when we have prior information of other parameters used is calculated using Angle of Internal Friction = atan(Bearing Capacity Factor dependent on Unit Weight/(2*(Bearing Capacity Factor dependent on Surcharge+1))). To calculate Angle of Internal Friction given Bearing Capacity by by Vesic's Analysis, you need Bearing Capacity Factor dependent on Unit Weight (Nγ) & Bearing Capacity Factor dependent on Surcharge (Nq). With our tool, you need to enter the respective value for Bearing Capacity Factor dependent on Unit Weight & Bearing Capacity Factor dependent on Surcharge and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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