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Passive Earth Pressure Produced by Weight of Shear Zone Formula

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Passive Earth Pressure dependent on Weight in Kp means that passive earth pressure which is produced by weight of the shear zone in Kilopascal. Check FAQs

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)

P_pγ - Passive Earth Pressure dependent on Weight in Kp?q - Intensity of Loading in Kilopascal?B - Width of Footing in Soil Mechanics?C - Cohesion in Soil as Kilopascal?φ - Angle of Shearing Resistance?γ - Unit Weight of Soil?P_pq - Passive Earth Pressure Rely on Surcharge in Kp?P_pc - Passive Earth Pressure Dependent on Cohesion in Kp?π - Archimedes' constant?

Passive Earth Pressure Produced by Weight of Shear Zone Example

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Here is how the Passive Earth Pressure Produced by Weight of Shear Zone equation looks like with Values.

Here is how the Passive Earth Pressure Produced by Weight of Shear Zone equation looks like with Units.

Here is how the Passive Earth Pressure Produced by Weight of Shear Zone equation looks like.

10.3396 = (\frac{(90 \cdot 0.232) - (0.232 \cdot 1.27 \cdot \tan (\frac{45 \cdot 3.1416}{180})) + (\frac{18 \cdot {(0.232)}^{2} \cdot \tan (\frac{45 \cdot 3.1416}{180})}{4})}{2}) - (0.03 + 0.07)

10.3396kPa = (\frac{(90kPa \cdot 0.232m) - (0.232m \cdot 1.27kPa \cdot \tan (\frac{45° \cdot 3.1416}{180})) + (\frac{18kN/m³ \cdot {(0.232m)}^{2} \cdot \tan (\frac{45° \cdot 3.1416}{180})}{4})}{2}) - (0.03kPa + 0.07kPa)

10.3396 = (\frac{(90 \cdot 0.232) - (0.232 \cdot 1.27 \cdot \tan (\frac{45 \cdot 3.1416}{180})) + (\frac{18 \cdot {(0.232)}^{2} \cdot \tan (\frac{45 \cdot 3.1416}{180})}{4})}{2}) - (0.03 + 0.07)

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Passive Earth Pressure Produced by Weight of Shear Zone Solution

Follow our step by step solution on how to calculate Passive Earth Pressure Produced by Weight of Shear Zone?

FIRST Step Consider the formula

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)

Next Step Substitute values of Variables

∴

P pγ = (\frac{(90kPa \cdot 0.232m) - (0.232m \cdot 1.27kPa \cdot \tan (\frac{45° \cdot π}{180})) + (\frac{18kN/m³ \cdot {(0.232m)}^{2} \cdot \tan (\frac{45° \cdot π}{180})}{4})}{2}) - (0.03kPa + 0.07kPa)

Next Step Substitute values of Constants

∴

P pγ = (\frac{(90kPa \cdot 0.232m) - (0.232m \cdot 1.27kPa \cdot \tan (\frac{45° \cdot 3.1416}{180})) + (\frac{18kN/m³ \cdot {(0.232m)}^{2} \cdot \tan (\frac{45° \cdot 3.1416}{180})}{4})}{2}) - (0.03kPa + 0.07kPa)

Next Step Convert Units

∴

P pγ = (\frac{(90000Pa \cdot 0.232m) - (0.232m \cdot 1270Pa \cdot \tan (\frac{0.7854rad \cdot 3.1416}{180})) + (\frac{18000N/m³ \cdot {(0.232m)}^{2} \cdot \tan (\frac{0.7854rad \cdot 3.1416}{180})}{4})}{2}) - (30Pa + 70Pa)

Next Step Prepare to Evaluate

∴

P pγ = (\frac{(90000 \cdot 0.232) - (0.232 \cdot 1270 \cdot \tan (\frac{0.7854 \cdot 3.1416}{180})) + (\frac{18000 \cdot {(0.232)}^{2} \cdot \tan (\frac{0.7854 \cdot 3.1416}{180})}{4})}{2}) - (30 + 70)

Next Step Evaluate

∴

P pγ = 10339.6406142273Pa

Next Step Convert to Output's Unit

∴

P pγ = 10.3396406142273kPa

LAST Step Rounding Answer

∴

P pγ = 10.3396kPa

Passive Earth Pressure Produced by Weight of Shear Zone Formula Elements

Variables

Constants

Functions

Passive Earth Pressure dependent on Weight in Kp

Passive Earth Pressure dependent on Weight in Kp means that passive earth pressure which is produced by weight of the shear zone in Kilopascal.

Symbol: P_pγ

Measurement: PressureUnit: kPa

Note: Value should be greater than 0.

Formulas to find Passive Earth Pressure dependent on Weight in Kp

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

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

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

Passive Earth Pressure Rely on Surcharge in Kp

Passive Earth Pressure Rely on Surcharge in Kp means that passive earth pressure which is produced by surcharge in kilopascal.

Symbol: P_pq

Measurement: PressureUnit: kPa

Note: Value should be greater than 0.

Formulas to find Passive Earth Pressure Rely on Surcharge in Kp

Passive Earth Pressure Dependent on Cohesion in Kp

Passive Earth Pressure Dependent on Cohesion in Kp means that passive earth pressure which is produced by soil cohesion in kilopascal.

Symbol: P_pc

Measurement: PressureUnit: kPa

Note: Value should be greater than 0.

Formulas to find Passive Earth Pressure Dependent on Cohesion in Kp

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 Passive Earth Pressure given Loading Intensity

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})

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}

How to Evaluate Passive Earth Pressure Produced by Weight of Shear Zone?

Passive Earth Pressure Produced by Weight of Shear Zone evaluator uses Passive Earth Pressure dependent on Weight in Kp = (((Intensity of Loading in Kilopascal*Width of Footing in Soil Mechanics)-(Width of Footing in Soil Mechanics*Cohesion in Soil as Kilopascal*tan((Angle of Shearing Resistance*pi)/180))+((Unit Weight of Soil*(Width of Footing in Soil Mechanics)^2*tan((Angle of Shearing Resistance*pi)/180))/4))/(2))-(Passive Earth Pressure Rely on Surcharge in Kp+Passive Earth Pressure Dependent on Cohesion in Kp) to evaluate the Passive Earth Pressure dependent on Weight in Kp, The Passive Earth Pressure Produced by Weight of Shear Zone is defined as the value of passive earth pressure produced by unit weight when we have prior information of other parameters used. Passive Earth Pressure dependent on Weight in Kp is denoted by P_pγ symbol.

How to evaluate Passive Earth Pressure Produced by Weight of Shear Zone using this online evaluator? To use this online evaluator for Passive Earth Pressure Produced by Weight of Shear Zone, enter Intensity of Loading in Kilopascal (q), Width of Footing in Soil Mechanics (B), Cohesion in Soil as Kilopascal (C), Angle of Shearing Resistance (φ), Unit Weight of Soil (γ), Passive Earth Pressure Rely on Surcharge in Kp (P_pq) & Passive Earth Pressure Dependent on Cohesion in Kp (P_pc) and hit the calculate button.

FAQs on Passive Earth Pressure Produced by Weight of Shear Zone

What is the formula to find Passive Earth Pressure Produced by Weight of Shear Zone?

The formula of Passive Earth Pressure Produced by Weight of Shear Zone is expressed as Passive Earth Pressure dependent on Weight in Kp = (((Intensity of Loading in Kilopascal*Width of Footing in Soil Mechanics)-(Width of Footing in Soil Mechanics*Cohesion in Soil as Kilopascal*tan((Angle of Shearing Resistance*pi)/180))+((Unit Weight of Soil*(Width of Footing in Soil Mechanics)^2*tan((Angle of Shearing Resistance*pi)/180))/4))/(2))-(Passive Earth Pressure Rely on Surcharge in Kp+Passive Earth Pressure Dependent on Cohesion in Kp). Here is an example- 0.010334 = (((90000*0.232)-(0.232*1270*tan((0.785398163397301*pi)/180))+((18000*(0.232)^2*tan((0.785398163397301*pi)/180))/4))/(2))-(30+70).

How to calculate Passive Earth Pressure Produced by Weight of Shear Zone?

With Intensity of Loading in Kilopascal (q), Width of Footing in Soil Mechanics (B), Cohesion in Soil as Kilopascal (C), Angle of Shearing Resistance (φ), Unit Weight of Soil (γ), Passive Earth Pressure Rely on Surcharge in Kp (P_pq) & Passive Earth Pressure Dependent on Cohesion in Kp (P_pc) we can find Passive Earth Pressure Produced by Weight of Shear Zone using the formula - Passive Earth Pressure dependent on Weight in Kp = (((Intensity of Loading in Kilopascal*Width of Footing in Soil Mechanics)-(Width of Footing in Soil Mechanics*Cohesion in Soil as Kilopascal*tan((Angle of Shearing Resistance*pi)/180))+((Unit Weight of Soil*(Width of Footing in Soil Mechanics)^2*tan((Angle of Shearing Resistance*pi)/180))/4))/(2))-(Passive Earth Pressure Rely on Surcharge in Kp+Passive Earth Pressure Dependent on Cohesion in Kp). This formula also uses Archimedes' constant and Tangent (tan) function(s).

Can the Passive Earth Pressure Produced by Weight of Shear Zone be negative?

No, the Passive Earth Pressure Produced by Weight of Shear Zone, measured in Pressure cannot be negative.

Which unit is used to measure Passive Earth Pressure Produced by Weight of Shear Zone?

Passive Earth Pressure Produced by Weight of Shear Zone 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 Produced by Weight of Shear Zone can be measured.

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Passive Earth Pressure Produced by Weight of Shear Zone Formula

Passive Earth Pressure Produced by Weight of Shear Zone Example

Passive Earth Pressure Produced by Weight of Shear Zone Solution

Passive Earth Pressure Produced by Weight of Shear Zone Formula Elements

Other formulas in Passive Earth Pressure Theory category

How to Evaluate Passive Earth Pressure Produced by Weight of Shear Zone?

FAQs on Passive Earth Pressure Produced by Weight of Shear Zone

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