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Bearing Capacity Factor Dependent on Surcharge given Angle of Internal Friction Formula

GoBearing Capacity Factor Dependent on Surcharge given Unit Weight Bearing Capacity Factor Formula

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Bearing Capacity Factor dependent on Surcharge is a constant whose value depends upon surcharge. Check FAQs

N q = (\exp (π \cdot \tan (\frac{φ \cdot π}{180}))) \cdot {(\tan (\frac{(45 + (\frac{φ}{2})) \cdot π}{180}))}^{2}

N_q - Bearing Capacity Factor dependent on Surcharge?φ - Angle of Internal Friction?π - Archimedes' constant?

Bearing Capacity Factor Dependent on Surcharge given Angle of Internal Friction Example

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Here is how the Bearing Capacity Factor Dependent on Surcharge given Angle of Internal Friction equation looks like with Values.

Here is how the Bearing Capacity Factor Dependent on Surcharge given Angle of Internal Friction equation looks like with Units.

Here is how the Bearing Capacity Factor Dependent on Surcharge given Angle of Internal Friction equation looks like.

1.0747 = (\exp (3.1416 \cdot \tan (\frac{46 \cdot 3.1416}{180}))) \cdot {(\tan (\frac{(45 + (\frac{46}{2})) \cdot 3.1416}{180}))}^{2}

1.0747 = (\exp (3.1416 \cdot \tan (\frac{46° \cdot 3.1416}{180}))) \cdot {(\tan (\frac{(45 + (\frac{46°}{2})) \cdot 3.1416}{180}))}^{2}

1.0747 = (\exp (3.1416 \cdot \tan (\frac{46 \cdot 3.1416}{180}))) \cdot {(\tan (\frac{(45 + (\frac{46}{2})) \cdot 3.1416}{180}))}^{2}

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Bearing Capacity Factor Dependent on Surcharge given Angle of Internal Friction Solution

Follow our step by step solution on how to calculate Bearing Capacity Factor Dependent on Surcharge given Angle of Internal Friction?

FIRST Step Consider the formula

N q = (\exp (π \cdot \tan (\frac{φ \cdot π}{180}))) \cdot {(\tan (\frac{(45 + (\frac{φ}{2})) \cdot π}{180}))}^{2}

Next Step Substitute values of Variables

∴

N q = (\exp (π \cdot \tan (\frac{46° \cdot π}{180}))) \cdot {(\tan (\frac{(45 + (\frac{46°}{2})) \cdot π}{180}))}^{2}

Next Step Substitute values of Constants

∴

N q = (\exp (3.1416 \cdot \tan (\frac{46° \cdot 3.1416}{180}))) \cdot {(\tan (\frac{(45 + (\frac{46°}{2})) \cdot 3.1416}{180}))}^{2}

Next Step Convert Units

∴

N q = (\exp (3.1416 \cdot \tan (\frac{0.8029rad \cdot 3.1416}{180}))) \cdot {(\tan (\frac{(45 + (\frac{0.8029rad}{2})) \cdot 3.1416}{180}))}^{2}

Next Step Prepare to Evaluate

∴

N q = (\exp (3.1416 \cdot \tan (\frac{0.8029 \cdot 3.1416}{180}))) \cdot {(\tan (\frac{(45 + (\frac{0.8029}{2})) \cdot 3.1416}{180}))}^{2}

Next Step Evaluate

∴

N q = 1.07470892573697

LAST Step Rounding Answer

∴

N q = 1.0747

Bearing Capacity Factor Dependent on Surcharge given Angle of Internal Friction Formula Elements

Variables

Constants

Functions

Bearing Capacity Factor dependent on Surcharge

Bearing Capacity Factor dependent on Surcharge is a constant whose value depends upon surcharge.

Symbol: N_q

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Bearing Capacity Factor dependent on Surcharge

Angle of Internal Friction

Angle of Internal Friction is the angle measured between the normal force and resultant force .

Symbol: φ

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Angle of Internal Friction

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

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)

exp

n an exponential function, the value of the function changes by a constant factor for every unit change in the independent variable.

Syntax: exp(Number)

Other Formulas to find Bearing Capacity Factor dependent on Surcharge

Go Bearing Capacity Factor Dependent on Surcharge given Unit Weight Bearing Capacity Factor

N q = (\frac{N γ}{\tan (1.4 \cdot φ)}) + 1

Other formulas in Bearing Capacity of Soils by Meyerhof's Analysis category

Go Plane Strain Angle of Shearing Resistance by Meyerhof's Analysis

Φ p = (1.1 - 0.1 \cdot (\frac{B}{L})) \cdot φ

Go Triaxial Angle of Shearing Resistance by Meyerhof's Analysis

φ = \frac{Φ p}{1.1 - 0.1 \cdot (\frac{B}{L})}

Go Width of Footing given Angle of Shearing Resistance by Meyerhof's Analysis

B = (1.1 - (\frac{Φ p}{φ})) \cdot (\frac{L}{0.1})

Go Length of Footing given Angle of Shearing Resistance by Meyerhof's Analysis

L = \frac{0.1 \cdot B}{1.1 - (\frac{Φ p}{φ})}

How to Evaluate Bearing Capacity Factor Dependent on Surcharge given Angle of Internal Friction?

Bearing Capacity Factor Dependent on Surcharge given Angle of Internal Friction evaluator uses Bearing Capacity Factor dependent on Surcharge = (exp(pi*tan((Angle of Internal Friction*pi)/180)))*(tan(((45+(Angle of Internal Friction/2))*pi)/180))^2 to evaluate the Bearing Capacity Factor dependent on Surcharge, The Bearing Capacity Factor Dependent on Surcharge given Angle of Internal Friction is defined as the value of bearing capacity factor dependent on surcharge when we have prior information of other parameters used. Bearing Capacity Factor dependent on Surcharge is denoted by N_q symbol.

How to evaluate Bearing Capacity Factor Dependent on Surcharge given Angle of Internal Friction using this online evaluator? To use this online evaluator for Bearing Capacity Factor Dependent on Surcharge given Angle of Internal Friction, enter Angle of Internal Friction (φ) and hit the calculate button.

FAQs on Bearing Capacity Factor Dependent on Surcharge given Angle of Internal Friction

What is the formula to find Bearing Capacity Factor Dependent on Surcharge given Angle of Internal Friction?

The formula of Bearing Capacity Factor Dependent on Surcharge given Angle of Internal Friction is expressed as Bearing Capacity Factor dependent on Surcharge = (exp(pi*tan((Angle of Internal Friction*pi)/180)))*(tan(((45+(Angle of Internal Friction/2))*pi)/180))^2. Here is an example- 1.074709 = (exp(pi*tan((0.802851455917241*pi)/180)))*(tan(((45+(0.802851455917241/2))*pi)/180))^2.

How to calculate Bearing Capacity Factor Dependent on Surcharge given Angle of Internal Friction?

With Angle of Internal Friction (φ) we can find Bearing Capacity Factor Dependent on Surcharge given Angle of Internal Friction using the formula - Bearing Capacity Factor dependent on Surcharge = (exp(pi*tan((Angle of Internal Friction*pi)/180)))*(tan(((45+(Angle of Internal Friction/2))*pi)/180))^2. This formula also uses Archimedes' constant and , Tangent (tan), Exponential Growth (exp) function(s).

What are the other ways to Calculate Bearing Capacity Factor dependent on Surcharge?

Here are the different ways to Calculate Bearing Capacity Factor dependent on Surcharge-

Bearing Capacity Factor dependent on Surcharge=(Bearing Capacity Factor dependent on Unit Weight/tan(1.4*Angle of Internal Friction))+1

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