Passive Earth Pressure Coefficient given Bearing Capacity Factor Calculator

✖Bearing Capacity Factor dependent on Unit Weight is a constant whose value depends upon unit weight of soil.ⓘ Bearing Capacity Factor dependent on Unit Weight [N_γ]			+10% -10%
✖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.ⓘ Angle of Shearing Resistance [φ]			+10% -10%

✖Coefficient of Passive Pressure is defined as the ratio of the horizontal to vertical stress.ⓘ Passive Earth Pressure Coefficient given Bearing Capacity Factor [K_P]

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Formula

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Passive Earth Pressure Coefficient given Bearing Capacity Factor

Formula

`"K"_{"P"} = (("N"_{"γ"}/(tan(("φ"))/2))+1)*(cos(("φ")))^2`

Example

`"2.1"=(("1.6"/(tan(("45°"))/2))+1)*(cos(("45°")))^2`

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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
K_P = ((N_γ/(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

K_P = ((N_γ/(tan((φ))/2))+1)*(cos((φ)))^2 --> ((1.6/(tan((0.785398163397301))/2))+1)*(cos((0.785398163397301)))^2

Evaluating ... ...

K_P = 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 00.004 seconds)

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< 23 Terzaghi's Analysis: Purely Cohesive Soil Calculators

Bearing Capacity for Purely Cohesive Soil given Depth of Footing

Go Ultimate Bearing Capacity = ((Cohesion of Soil*Bearing Capacity Factor dependent on Cohesion)+((Unit Weight of Soil*Depth of Footing)*Bearing Capacity Factor dependent on Surcharge))

Bearing Capacity Factor Dependent on Surcharge for Cohesive Soil given Depth of Footing

Go Bearing Capacity Factor dependent on Surcharge = (Ultimate Bearing Capacity-(Cohesion of Soil*Bearing Capacity Factor dependent on Cohesion))/(Unit Weight of Soil*Depth of Footing)

Bearing Capacity Factor Dependent on Cohesion for Cohesive Soil given Depth of Footing

Go Bearing Capacity Factor dependent on Cohesion = (Ultimate Bearing Capacity-((Unit Weight of Soil*Depth of Footing)*Bearing Capacity Factor dependent on Surcharge))/Cohesion of Soil

Unit Weight of Soil given Bearing Capacity for Purely Cohesive Soil

Go Unit Weight of Soil = (Ultimate Bearing Capacity-(Cohesion of Soil*Bearing Capacity Factor dependent on Cohesion))/(Depth of Footing*Bearing Capacity Factor dependent on Surcharge)

Cohesion of Soil for Purely Cohesive Soil given Depth of Footing

Go Cohesion of Soil = (Ultimate Bearing Capacity-((Unit Weight of Soil*Depth of Footing)*Bearing Capacity Factor dependent on Surcharge))/Bearing Capacity Factor dependent on Cohesion

Depth of Footing given Bearing Capacity for Purely Cohesive Soil

Go Depth of Footing = (Ultimate Bearing Capacity-(Cohesion of Soil*Bearing Capacity Factor dependent on Cohesion))/(Unit Weight of Soil*Bearing Capacity Factor dependent on Surcharge)

Passive Earth Pressure Coefficient given Bearing Capacity Factor

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

Bearing Capacity Factor Dependent on Weight given Passive Earth Pressure Coefficient

Go Bearing Capacity Factor dependent on Unit Weight = (tan((Angle of Shearing Resistance))/2)*((Coefficient of Passive Pressure/(cos(Angle of Shearing Resistance))^2)-1)

Bearing Capacity Factor Dependent on cohesion for Purely Cohesive Soil

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

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

Go Ultimate Bearing Capacity = ((Cohesion of Soil*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge in KiloPascal*Bearing Capacity Factor dependent on Surcharge))

Bearing Capacity Factor Dependent on Surcharge for Purely Cohesive Soil

Go Bearing Capacity Factor dependent on Surcharge = (Ultimate Bearing Capacity-(Cohesion of Soil*Bearing Capacity Factor dependent on Cohesion))/Effective Surcharge in KiloPascal

Effective Surcharge given Bearing Capacity for Purely Cohesive Soil

Go Effective Surcharge in KiloPascal = (Ultimate Bearing Capacity-(Cohesion of Soil*Bearing Capacity Factor dependent on Cohesion))/Bearing Capacity Factor dependent on Surcharge

Bearing Capacity Factor Dependent on Surcharge given Angle of Shearing Resistance

Go Bearing Capacity Factor dependent on Surcharge = (Bearing Capacity Factor dependent on Cohesion/cot((Angle of Shearing Resistance*pi)/180))+1

Bearing Capacity Factor Dependent on cohesion given Angle of Shearing Resistance

Go Bearing Capacity Factor dependent on Cohesion = (Bearing Capacity Factor dependent on Surcharge-1)*cot((Angle of Shearing Resistance))

Angle of Shearing Resistance given Bearing Capacity Factor

Go Angle of Shearing Resistance = acot(Bearing Capacity Factor dependent on Cohesion/(Bearing Capacity Factor dependent on Surcharge-1))

Unit Weight of Soil given Value of Bearing Capacity Factor

Go Unit Weight of Soil = (Ultimate Bearing Capacity-(Cohesion of Soil*5.7))/(Depth of Footing)

Depth of Footing given Value of Bearing Capacity Factor

Go Depth of Footing = (Ultimate Bearing Capacity-(Cohesion of Soil*5.7))/(Unit Weight of Soil)

Cohesion of Soil for Purely Cohesive Soil given Unit Weight of Soil

Go Cohesion of Soil = (Ultimate Bearing Capacity-(Unit Weight of Soil*Depth of Footing))/5.7

Bearing Capacity for Purely Cohesive Soil given Value of Bearing Capacity Factor

Go Ultimate Bearing Capacity = ((Cohesion of Soil*5.7)+(Effective Surcharge in KiloPascal))

Cohesion of Soil given Value of Bearing Capacity Factor

Go Cohesion of Soil = (Ultimate Bearing Capacity-(Effective Surcharge in KiloPascal))/5.7

Bearing Capacity for Purely Cohesive Soil given Unit Weight of Soil

Go Ultimate Bearing Capacity = (5.7*Cohesion of Soil)+Effective Surcharge in KiloPascal

Effective Surcharge given Value of Bearing Capacity Factor

Go Effective Surcharge in KiloPascal = Ultimate Bearing Capacity-(5.7*Cohesion of Soil)

Passive Earth Pressure Coefficient given Bearing Capacity Factor Formula

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 K_P 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 (N_γ) & 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 K_P = ((N_γ/(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 (N_γ) & 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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