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

✖Bearing Capacity Factor dependent on Unit Weight is a component in the calculation of the bearing capacity of soils. It is part of the general bearing capacity equation.ⓘ Bearing Capacity Factor dependent on Unit Weight [N_γ]			+10% -10%
✖Bearing Capacity Factor dependent on Surcharge is a parameter to determine the bearing capacity of shallow foundations subjected to surcharge loads.ⓘ Bearing Capacity Factor dependent on Surcharge [N_q]			+10% -10%

✖Angle of Internal Friction is a measure of the shear strength of soils and other granular materials. It represents the angle at which material can resist sliding.ⓘ Angle of Internal Friction given Bearing Capacity by Vesic's Analysis [φ]

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Angle of Internal Friction given Bearing Capacity 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(N_γ/(2*(N_q+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 a measure of the shear strength of soils and other granular materials. It represents the angle at which material can resist sliding.
Bearing Capacity Factor dependent on Unit Weight - Bearing Capacity Factor dependent on Unit Weight is a component in the calculation of the bearing capacity of soils. It is part of the general bearing capacity equation.
Bearing Capacity Factor dependent on Surcharge - Bearing Capacity Factor dependent on Surcharge is a parameter to determine the bearing capacity of shallow foundations subjected to surcharge loads.

STEP 1: Convert Input(s) to Base Unit

Bearing Capacity Factor dependent on Unit Weight: 0.151 --> 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(N_γ/(2*(N_q+1))) --> atan(0.151/(2*(2.01+1)))

Evaluating ... ...

φ = 0.0250777980470158

STEP 3: Convert Result to Output's Unit

0.0250777980470158 Radian -->1.43685198757569 Degree (Check conversion here)

FINAL ANSWER

1.43685198757569 ≈ 1.436852 Degree <-- Angle of Internal Friction

(Calculation completed in 00.004 seconds)

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Birsa Institute of Technology (BIT), Sindri

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< Bearing Capacity of Soils Calculators

Ultimate Bearing Capacity of Soil under Long Footing at Surface of Soil

LaTeX Go Ultimate Bearing Capacity = ((Prandtls Cohesion/tan(Angle of Internal Friction of Soil))+(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 of Soil))-1))

Net Ultimate Bearing Capacity given Ultimate Bearing Capacity

LaTeX Go Net Ultimate Bearing Capacity of Soil = Ultimate Bearing Capacity-Effective Surcharge in Kilo Pascal

Ultimate Bearing Capacity

LaTeX Go Ultimate Bearing Capacity = Net Ultimate Bearing Capacity of Soil+Effective Surcharge in Kilo Pascal

Effective Surcharge given Depth of Footing

LaTeX Go Effective Surcharge in Kilo Pascal = Unit Weight of Soil*Depth of Footing

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

LaTeX Go

Angle of Internal Friction = atan(Bearing Capacity Factor dependent on Unit Weight/(2*(Bearing Capacity Factor dependent on Surcharge+1)))
φ = atan(N_γ/(2*(N_q+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 Vesic's Analysis?

Angle of Internal Friction given Bearing Capacity 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 Vesic's Analysis formula is defined as a geotechnical parameter derived from Vesic's bearing capacity theory. The angle of internal friction (φ) is a measure of the shear strength of soil, representing the angle at which soil particles resist sliding over each other. Angle of Internal Friction is denoted by φ symbol.

How to calculate Angle of Internal Friction given Bearing Capacity by Vesic's Analysis using this online calculator? To use this online calculator for Angle of Internal Friction given Bearing Capacity by Vesic's Analysis, enter Bearing Capacity Factor dependent on Unit Weight (N_γ) & Bearing Capacity Factor dependent on Surcharge (N_q) and hit the calculate button. Here is how the Angle of Internal Friction given Bearing Capacity by Vesic's Analysis calculation can be explained with given input values -> 82.32555 = atan(0.151/(2*(2.01+1))).

FAQ

What is Angle of Internal Friction given Bearing Capacity by Vesic's Analysis?

The Angle of Internal Friction given Bearing Capacity by Vesic's Analysis formula is defined as a geotechnical parameter derived from Vesic's bearing capacity theory. The angle of internal friction (φ) is a measure of the shear strength of soil, representing the angle at which soil particles resist sliding over each other and is represented as φ = atan(N_γ/(2*(N_q+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 component in the calculation of the bearing capacity of soils. It is part of the general bearing capacity equation & Bearing Capacity Factor dependent on Surcharge is a parameter to determine the bearing capacity of shallow foundations subjected to surcharge loads.

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

The Angle of Internal Friction given Bearing Capacity by Vesic's Analysis formula is defined as a geotechnical parameter derived from Vesic's bearing capacity theory. The angle of internal friction (φ) is a measure of the shear strength of soil, representing the angle at which soil particles resist sliding over each other 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 Vesic's Analysis, you need Bearing Capacity Factor dependent on Unit Weight (N_γ) & Bearing Capacity Factor dependent on Surcharge (N_q). 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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