FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Passive Earth Pressure given Loading Intensity Formula

Fx Copy

LaTeX Copy

Passive Earth Pressure in kilopascal is the earth pressure exerted when the wall moves towards the backfill in kilopascal. Check FAQs

P p = (q - ((C \cdot \tan (\frac{φ \cdot π}{180})) - (\frac{γ \cdot B \cdot \tan (\frac{φ \cdot π}{180})}{4}))) \cdot (\frac{B}{2})

P_p - Passive Earth Pressure in kilopascal?q - Intensity of Loading in Kilopascal?C - Cohesion in Soil as Kilopascal?φ - Angle of Shearing Resistance?γ - Unit Weight of Soil?B - Width of Footing in Soil Mechanics?π - Archimedes' constant?

Passive Earth Pressure given Loading Intensity Example

With values

With units

Only example

Here is how the Passive Earth Pressure given Loading Intensity equation looks like with Values.

Here is how the Passive Earth Pressure given Loading Intensity equation looks like with Units.

Here is how the Passive Earth Pressure given Loading Intensity equation looks like.

10.4396 = (90 - ((1.27 \cdot \tan (\frac{45 \cdot 3.1416}{180})) - (\frac{18 \cdot 0.232 \cdot \tan (\frac{45 \cdot 3.1416}{180})}{4}))) \cdot (\frac{0.232}{2})

10.4396kPa = (90kPa - ((1.27kPa \cdot \tan (\frac{45° \cdot 3.1416}{180})) - (\frac{18kN/m³ \cdot 0.232m \cdot \tan (\frac{45° \cdot 3.1416}{180})}{4}))) \cdot (\frac{0.232m}{2})

10.4396 = (90 - ((1.27 \cdot \tan (\frac{45 \cdot 3.1416}{180})) - (\frac{18 \cdot 0.232 \cdot \tan (\frac{45 \cdot 3.1416}{180})}{4}))) \cdot (\frac{0.232}{2})

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Civil » Category

Geotechnical Engineering » fx Passive Earth Pressure given Loading Intensity

Passive Earth Pressure given Loading Intensity Solution

Follow our step by step solution on how to calculate Passive Earth Pressure given Loading Intensity?

FIRST Step Consider the formula

P p = (q - ((C \cdot \tan (\frac{φ \cdot π}{180})) - (\frac{γ \cdot B \cdot \tan (\frac{φ \cdot π}{180})}{4}))) \cdot (\frac{B}{2})

Next Step Substitute values of Variables

∴

P p = (90kPa - ((1.27kPa \cdot \tan (\frac{45° \cdot π}{180})) - (\frac{18kN/m³ \cdot 0.232m \cdot \tan (\frac{45° \cdot π}{180})}{4}))) \cdot (\frac{0.232m}{2})

Next Step Substitute values of Constants

∴

P p = (90kPa - ((1.27kPa \cdot \tan (\frac{45° \cdot 3.1416}{180})) - (\frac{18kN/m³ \cdot 0.232m \cdot \tan (\frac{45° \cdot 3.1416}{180})}{4}))) \cdot (\frac{0.232m}{2})

Next Step Convert Units

∴

P p = (90000Pa - ((1270Pa \cdot \tan (\frac{0.7854rad \cdot 3.1416}{180})) - (\frac{18000N/m³ \cdot 0.232m \cdot \tan (\frac{0.7854rad \cdot 3.1416}{180})}{4}))) \cdot (\frac{0.232m}{2})

Next Step Prepare to Evaluate

∴

P p = (90000 - ((1270 \cdot \tan (\frac{0.7854 \cdot 3.1416}{180})) - (\frac{18000 \cdot 0.232 \cdot \tan (\frac{0.7854 \cdot 3.1416}{180})}{4}))) \cdot (\frac{0.232}{2})

Next Step Evaluate

∴

P p = 10439.6406142273Pa

Next Step Convert to Output's Unit

∴

P p = 10.4396406142273kPa

LAST Step Rounding Answer

∴

P p = 10.4396kPa

Passive Earth Pressure given Loading Intensity Formula Elements

Variables

Constants

Functions

Passive Earth Pressure in kilopascal

Passive Earth Pressure in kilopascal is the earth pressure exerted when the wall moves towards the backfill in kilopascal.

Symbol: P_p

Measurement: PressureUnit: kPa

Note: Value should be greater than 0.

Formulas to find Passive Earth Pressure in kilopascal

Intensity of Loading in Kilopascal

Intensity of Loading in Kilopascal is defined as the Intensity of Loading at the base of foundation, at which soil support fails in shear is called ultimate bearing capacity of soils in kilopascal.

Symbol: q

Measurement: PressureUnit: kPa

Note: Value should be greater than 0.

Formulas to find Intensity of Loading in Kilopascal

Cohesion in Soil as Kilopascal

Cohesion in Soil as Kilopascal is the ability of like particles within soil to hold onto each other. It is the shear strength or force that binds together like particles in the structure of a soil.

Symbol: C

Measurement: PressureUnit: kPa

Note: Value should be between 0 to 50.

Formulas to find Cohesion in Soil as Kilopascal

Angle of Shearing Resistance

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.

Symbol: φ

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Angle of Shearing Resistance

Unit Weight of Soil

Unit Weight of Soil mass is the ratio of the total weight of soil to the total volume of soil.

Symbol: γ

Measurement: Specific WeightUnit: kN/m³

Note: Value should be greater than 0.

Formulas to find Unit Weight of Soil

Width of Footing in Soil Mechanics

Width of Footing in Soil Mechanics is the shorter dimension of the footing.

Symbol: B

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Width of Footing in Soil Mechanics

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)

Other formulas in Passive Earth Pressure Theory category

Go Loading Intensity given Passive Earth Pressure

q = (\frac{2 \cdot (P pq + P pc + P pγ)}{B}) + (C \cdot \tan (\frac{φ \cdot π}{180})) - \frac{γ \cdot B \cdot \tan (\frac{φ \cdot π}{180})}{4}

Go Angle of Shearing Resistance given Passive Earth Pressure

φ d = a \tan (\frac{q \cdot B - (2 \cdot P p)}{B \cdot C - (\frac{γ \cdot B^{2}}{4})})

Go Passive Earth Pressure Produced by Weight of Shear Zone

P pγ = (\frac{(q \cdot B) - (B \cdot C \cdot \tan (\frac{φ \cdot π}{180})) + (\frac{γ \cdot {(B)}^{2} \cdot \tan (\frac{φ \cdot π}{180})}{4})}{2}) - (P pq + P pc)

Go Passive Earth Pressure Produced by Soil Cohesion

P pc = (\frac{(q \cdot B) - (B \cdot C \cdot \tan (\frac{φ \cdot π}{180})) + (\frac{γ \cdot {(B)}^{2} \cdot \tan (\frac{φ \cdot π}{180})}{4})}{2}) - (P pq + P pγ)

How to Evaluate Passive Earth Pressure given Loading Intensity?

Passive Earth Pressure given Loading Intensity evaluator uses Passive Earth Pressure in kilopascal = (Intensity of Loading in Kilopascal-((Cohesion in Soil as Kilopascal*tan((Angle of Shearing Resistance*pi)/180))-((Unit Weight of Soil*Width of Footing in Soil Mechanics*tan((Angle of Shearing Resistance*pi)/180))/4)))*(Width of Footing in Soil Mechanics/2) to evaluate the Passive Earth Pressure in kilopascal, The Passive Earth Pressure given Loading Intensity is defined as the value of passive earth pressure when we have prior information of other parameters used. Passive Earth Pressure in kilopascal is denoted by P_p symbol.

How to evaluate Passive Earth Pressure given Loading Intensity using this online evaluator? To use this online evaluator for Passive Earth Pressure given Loading Intensity, enter Intensity of Loading in Kilopascal (q), Cohesion in Soil as Kilopascal (C), Angle of Shearing Resistance (φ), Unit Weight of Soil (γ) & Width of Footing in Soil Mechanics (B) and hit the calculate button.

FAQs on Passive Earth Pressure given Loading Intensity

What is the formula to find Passive Earth Pressure given Loading Intensity?

The formula of Passive Earth Pressure given Loading Intensity is expressed as Passive Earth Pressure in kilopascal = (Intensity of Loading in Kilopascal-((Cohesion in Soil as Kilopascal*tan((Angle of Shearing Resistance*pi)/180))-((Unit Weight of Soil*Width of Footing in Soil Mechanics*tan((Angle of Shearing Resistance*pi)/180))/4)))*(Width of Footing in Soil Mechanics/2). Here is an example- 0.010434 = (90000-((1270*tan((0.785398163397301*pi)/180))-((18000*0.232*tan((0.785398163397301*pi)/180))/4)))*(0.232/2).

How to calculate Passive Earth Pressure given Loading Intensity?

With Intensity of Loading in Kilopascal (q), Cohesion in Soil as Kilopascal (C), Angle of Shearing Resistance (φ), Unit Weight of Soil (γ) & Width of Footing in Soil Mechanics (B) we can find Passive Earth Pressure given Loading Intensity using the formula - Passive Earth Pressure in kilopascal = (Intensity of Loading in Kilopascal-((Cohesion in Soil as Kilopascal*tan((Angle of Shearing Resistance*pi)/180))-((Unit Weight of Soil*Width of Footing in Soil Mechanics*tan((Angle of Shearing Resistance*pi)/180))/4)))*(Width of Footing in Soil Mechanics/2). This formula also uses Archimedes' constant and Tangent (tan) function(s).

Can the Passive Earth Pressure given Loading Intensity be negative?

No, the Passive Earth Pressure given Loading Intensity, measured in Pressure cannot be negative.

Which unit is used to measure Passive Earth Pressure given Loading Intensity?

Passive Earth Pressure given Loading Intensity is usually measured using the Kilopascal[kPa] for Pressure. Pascal[kPa], Bar[kPa], Pound Per Square Inch[kPa] are the few other units in which Passive Earth Pressure given Loading Intensity can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

Passive Earth Pressure given Loading Intensity Formula

Passive Earth Pressure given Loading Intensity Example

Passive Earth Pressure given Loading Intensity Solution

Passive Earth Pressure given Loading Intensity Formula Elements

Other formulas in Passive Earth Pressure Theory category

How to Evaluate Passive Earth Pressure given Loading Intensity?

FAQs on Passive Earth Pressure given Loading Intensity

Variable Name