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Loading Intensity given Passive Earth Pressure Formula

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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. Check FAQs

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}

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

Loading Intensity given Passive Earth Pressure Example

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

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

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

1.3824 = (\frac{2 \cdot (0.03 + 0.07 + 0.06)}{0.232}) + (1.27 \cdot \tan (\frac{45 \cdot 3.1416}{180})) - \frac{18 \cdot 0.232 \cdot \tan (\frac{45 \cdot 3.1416}{180})}{4}

1.3824kPa = (\frac{2 \cdot (0.03kPa + 0.07kPa + 0.06kPa)}{0.232m}) + (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}

1.3824 = (\frac{2 \cdot (0.03 + 0.07 + 0.06)}{0.232}) + (1.27 \cdot \tan (\frac{45 \cdot 3.1416}{180})) - \frac{18 \cdot 0.232 \cdot \tan (\frac{45 \cdot 3.1416}{180})}{4}

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Loading Intensity given Passive Earth Pressure Solution

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

FIRST Step Consider the formula

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}

Next Step Substitute values of Variables

∴

q = (\frac{2 \cdot (0.03kPa + 0.07kPa + 0.06kPa)}{0.232m}) + (1.27kPa \cdot \tan (\frac{45° \cdot π}{180})) - \frac{18kN/m³ \cdot 0.232m \cdot \tan (\frac{45° \cdot π}{180})}{4}

Next Step Substitute values of Constants

∴

q = (\frac{2 \cdot (0.03kPa + 0.07kPa + 0.06kPa)}{0.232m}) + (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}

Next Step Convert Units

∴

q = (\frac{2 \cdot (30Pa + 70Pa + 60Pa)}{0.232m}) + (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}

Next Step Prepare to Evaluate

∴

q = (\frac{2 \cdot (30 + 70 + 60)}{0.232}) + (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}

Next Step Evaluate

∴

q = 1382.40849804036Pa

Next Step Convert to Output's Unit

∴

q = 1.38240849804036kPa

LAST Step Rounding Answer

∴

q = 1.3824kPa

Loading Intensity given Passive Earth Pressure Formula Elements

Variables

Constants

Functions

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

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

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

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

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 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})})

How to Evaluate Loading Intensity given Passive Earth Pressure?

Loading Intensity given Passive Earth Pressure evaluator uses Intensity of Loading in Kilopascal = ((2*(Passive Earth Pressure Rely on Surcharge in Kp+Passive Earth Pressure Dependent on Cohesion in Kp+Passive Earth Pressure dependent on Weight in Kp))/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*tan((Angle of Shearing Resistance*pi)/180))/4 to evaluate the Intensity of Loading in Kilopascal, The Loading Intensity given Passive Earth Pressure is defined as the value of loading intensity when we have prior information of other parameters used. Intensity of Loading in Kilopascal is denoted by q symbol.

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

FAQs on Loading Intensity given Passive Earth Pressure

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

The formula of Loading Intensity given Passive Earth Pressure is expressed as Intensity of Loading in Kilopascal = ((2*(Passive Earth Pressure Rely on Surcharge in Kp+Passive Earth Pressure Dependent on Cohesion in Kp+Passive Earth Pressure dependent on Weight in Kp))/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*tan((Angle of Shearing Resistance*pi)/180))/4. Here is an example- 0.001434 = ((2*(30+70+60))/0.232)+(1270*tan((0.785398163397301*pi)/180))-(18000*0.232*tan((0.785398163397301*pi)/180))/4.

How to calculate Loading Intensity given Passive Earth Pressure?

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

Can the Loading Intensity given Passive Earth Pressure be negative?

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

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

Loading Intensity given Passive Earth Pressure 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 Loading Intensity given Passive Earth Pressure can be measured.

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Loading Intensity given Passive Earth Pressure Formula

Loading Intensity given Passive Earth Pressure Example

Loading Intensity given Passive Earth Pressure Solution

Loading Intensity given Passive Earth Pressure Formula Elements

Other formulas in Passive Earth Pressure Theory category

How to Evaluate Loading Intensity given Passive Earth Pressure?

FAQs on Loading Intensity given Passive Earth Pressure

Variable Name