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

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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. Check FAQs

φ = a \tan (\frac{N γ}{2 \cdot (N q + 1)})

φ - Angle of Internal Friction?N_γ - Bearing Capacity Factor dependent on Unit Weight?N_q - Bearing Capacity Factor dependent on Surcharge?

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

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Here is how the Angle of Internal Friction given Bearing Capacity by Vesic's Analysis equation looks like with Values.

Here is how the Angle of Internal Friction given Bearing Capacity by Vesic's Analysis equation looks like with Units.

Here is how the Angle of Internal Friction given Bearing Capacity by Vesic's Analysis equation looks like.

1.4369 = a \tan (\frac{0.151}{2 \cdot (2.01 + 1)})

1.4369° = a \tan (\frac{0.151}{2 \cdot (2.01 + 1)})

1.4369 = a \tan (\frac{0.151}{2 \cdot (2.01 + 1)})

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

Follow our step by step solution on how to calculate Angle of Internal Friction given Bearing Capacity by Vesic's Analysis?

FIRST Step Consider the formula

φ = a \tan (\frac{N γ}{2 \cdot (N q + 1)})

Next Step Substitute values of Variables

∴

φ = a \tan (\frac{0.151}{2 \cdot (2.01 + 1)})

Next Step Prepare to Evaluate

∴

φ = a \tan (\frac{0.151}{2 \cdot (2.01 + 1)})

Next Step Evaluate

∴

φ = 0.0250777980470158rad

Next Step Convert to Output's Unit

∴

φ = 1.43685198757569°

LAST Step Rounding Answer

∴

φ = 1.4369°

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

Variables

Functions

Angle of Internal Friction

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.

Symbol: φ

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Angle of Internal Friction

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.

Symbol: N_γ

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Bearing Capacity Factor dependent on Unit Weight

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.

Symbol: N_q

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Bearing Capacity Factor dependent on Surcharge

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 in Bearing Capacity of Soils category

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

q f = ((\frac{C}{\tan (Φ i)}) + (0.5 \cdot γ d \cdot B \cdot \sqrt{K P}) \cdot (K P \cdot \exp (π \cdot \tan (Φ i)) - 1))

Go Effective Surcharge given Depth of Footing

σ s = γ \cdot D

Go Ultimate Bearing Capacity

q f = q net + σ s

Go Net Ultimate Bearing Capacity given Ultimate Bearing Capacity

q net = q f - σ s

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

Angle of Internal Friction given Bearing Capacity by Vesic's Analysis evaluator uses Angle of Internal Friction = atan(Bearing Capacity Factor dependent on Unit Weight/(2*(Bearing Capacity Factor dependent on Surcharge+1))) to evaluate 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 evaluate Angle of Internal Friction given Bearing Capacity by Vesic's Analysis using this online evaluator? To use this online evaluator 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.

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

What is the formula to find Angle of Internal Friction given Bearing Capacity by Vesic's Analysis?

The formula of Angle of Internal Friction given Bearing Capacity by Vesic's Analysis is expressed as Angle of Internal Friction = atan(Bearing Capacity Factor dependent on Unit Weight/(2*(Bearing Capacity Factor dependent on Surcharge+1))). Here is an example- 82.32555 = atan(0.151/(2*(2.01+1))).

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

With Bearing Capacity Factor dependent on Unit Weight (N_γ) & Bearing Capacity Factor dependent on Surcharge (N_q) we can find Angle of Internal Friction given Bearing Capacity by Vesic's Analysis using the formula - Angle of Internal Friction = atan(Bearing Capacity Factor dependent on Unit Weight/(2*(Bearing Capacity Factor dependent on Surcharge+1))). This formula also uses Tangent (tan), Inverse Tan (atan) function(s).

Can the Angle of Internal Friction given Bearing Capacity by Vesic's Analysis be negative?

No, the Angle of Internal Friction given Bearing Capacity by Vesic's Analysis, measured in Angle cannot be negative.

Which unit is used to measure Angle of Internal Friction given Bearing Capacity by Vesic's Analysis?

Angle of Internal Friction given Bearing Capacity by Vesic's Analysis is usually measured using the Degree[°] for Angle. Radian[°], Minute[°], Second[°] are the few other units in which Angle of Internal Friction given Bearing Capacity by Vesic's Analysis can be measured.

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

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

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

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

Other formulas in Bearing Capacity of Soils category

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

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

Variable Name