Passive Earth Pressure Coefficient given Bearing Capacity Factor Solution

STEP 0: Pre-Calculation Summary
Formula Used
Coefficient of Passive Pressure = ((Bearing Capacity Factor dependent on Unit Weight/(tan((Angle of Shearing Resistance))/2))+1)*(cos((Angle of Shearing Resistance)))^2
KP = ((Nγ/(tan((φ))/2))+1)*(cos((φ)))^2
This formula uses 2 Functions, 3 Variables
Functions Used
cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)
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)
Variables Used
Coefficient of Passive Pressure - Coefficient of Passive Pressure is defined as the ratio of the horizontal to vertical stress.
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.
Angle of Shearing Resistance - (Measured in Radian) - Angle of Shearing Resistance is known as a component of the shear strength of the soils which is basically frictional material and composed of individual particles.
STEP 1: Convert Input(s) to Base Unit
Bearing Capacity Factor dependent on Unit Weight: 1.6 --> No Conversion Required
Angle of Shearing Resistance: 45 Degree --> 0.785398163397301 Radian (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
KP = ((Nγ/(tan((φ))/2))+1)*(cos((φ)))^2 --> ((1.6/(tan((0.785398163397301))/2))+1)*(cos((0.785398163397301)))^2
Evaluating ... ...
KP = 2.10000000000109
STEP 3: Convert Result to Output's Unit
2.10000000000109 --> No Conversion Required
FINAL ANSWER
2.10000000000109 2.1 <-- Coefficient of Passive Pressure
(Calculation completed in 00.020 seconds)

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Terzaghi's Analysis Purely Cohesive Soil Calculators

Bearing Capacity Factor Dependent on cohesion for Purely Cohesive Soil
​ LaTeX ​ Go Bearing Capacity Factor dependent on Cohesion = (Ultimate Bearing Capacity in Soil-((Effective Surcharge in KiloPascal)*Bearing Capacity Factor dependent on Surcharge))/Cohesion of Soil
Cohesion of Soil given Bearing Capacity for Purely Cohesive Soil
​ LaTeX ​ Go Cohesion of Soil = (Ultimate Bearing Capacity in Soil-(Effective Surcharge in KiloPascal*Bearing Capacity Factor dependent on Surcharge))/Bearing Capacity Factor dependent on Cohesion
Bearing Capacity for Purely Cohesive Soil
​ LaTeX ​ Go Ultimate Bearing Capacity = ((Cohesion of Soil*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge in KiloPascal*Bearing Capacity Factor dependent on Surcharge))
Effective Surcharge given Bearing Capacity for Purely Cohesive Soil
​ LaTeX ​ Go Effective Surcharge in KiloPascal = (Ultimate Bearing Capacity-(Cohesion of Soil*Bearing Capacity Factor dependent on Cohesion))/Bearing Capacity Factor dependent on Surcharge

Passive Earth Pressure Coefficient given Bearing Capacity Factor Formula

​LaTeX ​Go
Coefficient of Passive Pressure = ((Bearing Capacity Factor dependent on Unit Weight/(tan((Angle of Shearing Resistance))/2))+1)*(cos((Angle of Shearing Resistance)))^2
KP = ((Nγ/(tan((φ))/2))+1)*(cos((φ)))^2

What is Lateral Earth Pressure?

The maximum value of lateral earth pressure exerted by soil on a structure, occurring when the soil is compressed laterally, causing its internal shearing resistance along a potential failure surface to be completely mobilized; the maximum resistance of a vertical earth face to deformation by a horizontal force.

How to Calculate Passive Earth Pressure Coefficient given Bearing Capacity Factor?

Passive Earth Pressure Coefficient given Bearing Capacity Factor calculator uses Coefficient of Passive Pressure = ((Bearing Capacity Factor dependent on Unit Weight/(tan((Angle of Shearing Resistance))/2))+1)*(cos((Angle of Shearing Resistance)))^2 to calculate the Coefficient of Passive Pressure, The Passive Earth Pressure Coefficient given Bearing Capacity Factor is defined as the value of passive earth pressure coefficient when we have prior information of other parameters used. Coefficient of Passive Pressure is denoted by KP symbol.

How to calculate Passive Earth Pressure Coefficient given Bearing Capacity Factor using this online calculator? To use this online calculator for Passive Earth Pressure Coefficient given Bearing Capacity Factor, enter Bearing Capacity Factor dependent on Unit Weight (Nγ) & Angle of Shearing Resistance (φ) and hit the calculate button. Here is how the Passive Earth Pressure Coefficient given Bearing Capacity Factor calculation can be explained with given input values -> 2.1 = ((1.6/(tan((0.785398163397301))/2))+1)*(cos((0.785398163397301)))^2.

FAQ

What is Passive Earth Pressure Coefficient given Bearing Capacity Factor?
The Passive Earth Pressure Coefficient given Bearing Capacity Factor is defined as the value of passive earth pressure coefficient when we have prior information of other parameters used and is represented as KP = ((Nγ/(tan((φ))/2))+1)*(cos((φ)))^2 or Coefficient of Passive Pressure = ((Bearing Capacity Factor dependent on Unit Weight/(tan((Angle of Shearing Resistance))/2))+1)*(cos((Angle of Shearing Resistance)))^2. Bearing Capacity Factor dependent on Unit Weight is a constant whose value depends upon unit weight of soil & Angle of Shearing Resistance is known as a component of the shear strength of the soils which is basically frictional material and composed of individual particles.
How to calculate Passive Earth Pressure Coefficient given Bearing Capacity Factor?
The Passive Earth Pressure Coefficient given Bearing Capacity Factor is defined as the value of passive earth pressure coefficient when we have prior information of other parameters used is calculated using Coefficient of Passive Pressure = ((Bearing Capacity Factor dependent on Unit Weight/(tan((Angle of Shearing Resistance))/2))+1)*(cos((Angle of Shearing Resistance)))^2. To calculate Passive Earth Pressure Coefficient given Bearing Capacity Factor, you need Bearing Capacity Factor dependent on Unit Weight (Nγ) & Angle of Shearing Resistance (φ). With our tool, you need to enter the respective value for Bearing Capacity Factor dependent on Unit Weight & Angle of Shearing Resistance 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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