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

✖Angle of Internal Friction is the angle measured between the normal force and resultant force .ⓘ Angle of Internal Friction [φ]

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✖Bearing Capacity Factor dependent on Surcharge is a constant whose value depends upon surcharge.ⓘ Bearing Capacity Factor Dependent on Surcharge given Angle of Internal Friction [N_q]

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

STEP 0: Pre-Calculation Summary

Formula Used

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
N_q = (exp(pi*tan((φ*pi)/180)))*(tan(((45+(φ/2))*pi)/180))^2
This formula uses 1 Constants, 2 Functions, 2 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

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

Variables Used

Bearing Capacity Factor dependent on Surcharge - Bearing Capacity Factor dependent on Surcharge is a constant whose value depends upon surcharge.
Angle of Internal Friction - (Measured in Radian) - Angle of Internal Friction is the angle measured between the normal force and resultant force .

STEP 1: Convert Input(s) to Base Unit

Angle of Internal Friction: 46 Degree --> 0.802851455917241 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

N_q = (exp(pi*tan((φ*pi)/180)))*(tan(((45+(φ/2))*pi)/180))^2 --> (exp(pi*tan((0.802851455917241*pi)/180)))*(tan(((45+(0.802851455917241/2))*pi)/180))^2

Evaluating ... ...

N_q = 1.07470892573697

STEP 3: Convert Result to Output's Unit

1.07470892573697 --> No Conversion Required

FINAL ANSWER

1.07470892573697 ≈ 1.074709 <-- Bearing Capacity Factor dependent on Surcharge

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Geotechnical Engineering » Bearing Capacity of Soils by Meyerhof's Analysis » Bearing Capacity Factor Dependent on Surcharge given Angle of Internal Friction

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< Bearing Capacity of Soils by Meyerhof's Analysis Calculators

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

LaTeX Go Length of Footing = (0.1*Width of Footing)/(1.1-(Angle of Internal Friction For Plain Strain/Angle of Internal Friction))

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

LaTeX Go Width of Footing = (1.1-(Angle of Internal Friction For Plain Strain/Angle of Internal Friction))*(Length of Footing/0.1)

Plane Strain Angle of Shearing Resistance by Meyerhof's Analysis

LaTeX Go Angle of Internal Friction For Plain Strain = (1.1-0.1*(Width of Footing/Length of Footing))*Angle of Internal Friction

Triaxial Angle of Shearing Resistance by Meyerhof's Analysis

LaTeX Go Angle of Internal Friction = Angle of Internal Friction For Plain Strain/(1.1-0.1*(Width of Footing/Length of Footing))

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

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What is Bearing Capacity Factor?

Bearing capacity factors are empirically derived factors used in a bearing capacity equation that usually correlates with the angle of internal friction of the soil. See the bearing capacity technical guidance for equations and detailed calculations for applying the following bearing capacity factors.

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

Bearing Capacity Factor Dependent on Surcharge given Angle of Internal Friction calculator 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 calculate 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 calculate Bearing Capacity Factor Dependent on Surcharge given Angle of Internal Friction using this online calculator? To use this online calculator for Bearing Capacity Factor Dependent on Surcharge given Angle of Internal Friction, enter Angle of Internal Friction (φ) and hit the calculate button. Here is how the Bearing Capacity Factor Dependent on Surcharge given Angle of Internal Friction calculation can be explained with given input values -> 1.074709 = (exp(pi*tan((0.802851455917241*pi)/180)))*(tan(((45+(0.802851455917241/2))*pi)/180))^2.

FAQ

What is Bearing Capacity Factor Dependent on Surcharge given Angle of Internal Friction?

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 and is represented as N_q = (exp(pi*tan((φ*pi)/180)))*(tan(((45+(φ/2))*pi)/180))^2 or 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. Angle of Internal Friction is the angle measured between the normal force and resultant force .

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

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 is calculated using 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 calculate Bearing Capacity Factor Dependent on Surcharge given Angle of Internal Friction, you need Angle of Internal Friction (φ). With our tool, you need to enter the respective value for Angle of Internal Friction and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Bearing Capacity Factor dependent on Surcharge?

In this formula, Bearing Capacity Factor dependent on Surcharge uses Angle of Internal Friction. We can use 1 other way(s) to calculate the same, which is/are as follows -

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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