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Intensity of Loading given Minimum Depth of Foundation 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 = (γ \cdot D min) \cdot {(\frac{1 + \sin (\frac{φ \cdot π}{180})}{1 - \sin (\frac{φ \cdot π}{180})})}^{2}

q - Intensity of Loading in Kilopascal?γ - Unit Weight of Soil?D_min - Minimum Depth of Foundation?φ - Angle of Shearing Resistance?π - Archimedes' constant?

Intensity of Loading given Minimum Depth of Foundation Example

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Here is how the Intensity of Loading given Minimum Depth of Foundation equation looks like with Values.

Here is how the Intensity of Loading given Minimum Depth of Foundation equation looks like with Units.

Here is how the Intensity of Loading given Minimum Depth of Foundation equation looks like.

95.0728 = (18 \cdot 5) \cdot {(\frac{1 + \sin (\frac{45 \cdot 3.1416}{180})}{1 - \sin (\frac{45 \cdot 3.1416}{180})})}^{2}

95.0728kPa = (18kN/m³ \cdot 5m) \cdot {(\frac{1 + \sin (\frac{45° \cdot 3.1416}{180})}{1 - \sin (\frac{45° \cdot 3.1416}{180})})}^{2}

95.0728 = (18 \cdot 5) \cdot {(\frac{1 + \sin (\frac{45 \cdot 3.1416}{180})}{1 - \sin (\frac{45 \cdot 3.1416}{180})})}^{2}

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Intensity of Loading given Minimum Depth of Foundation Solution

Follow our step by step solution on how to calculate Intensity of Loading given Minimum Depth of Foundation?

FIRST Step Consider the formula

q = (γ \cdot D min) \cdot {(\frac{1 + \sin (\frac{φ \cdot π}{180})}{1 - \sin (\frac{φ \cdot π}{180})})}^{2}

Next Step Substitute values of Variables

∴

q = (18kN/m³ \cdot 5m) \cdot {(\frac{1 + \sin (\frac{45° \cdot π}{180})}{1 - \sin (\frac{45° \cdot π}{180})})}^{2}

Next Step Substitute values of Constants

∴

q = (18kN/m³ \cdot 5m) \cdot {(\frac{1 + \sin (\frac{45° \cdot 3.1416}{180})}{1 - \sin (\frac{45° \cdot 3.1416}{180})})}^{2}

Next Step Convert Units

∴

q = (18000N/m³ \cdot 5m) \cdot {(\frac{1 + \sin (\frac{0.7854rad \cdot 3.1416}{180})}{1 - \sin (\frac{0.7854rad \cdot 3.1416}{180})})}^{2}

Next Step Prepare to Evaluate

∴

q = (18000 \cdot 5) \cdot {(\frac{1 + \sin (\frac{0.7854 \cdot 3.1416}{180})}{1 - \sin (\frac{0.7854 \cdot 3.1416}{180})})}^{2}

Next Step Evaluate

∴

q = 95072.7628466461Pa

Next Step Convert to Output's Unit

∴

q = 95.0727628466461kPa

LAST Step Rounding Answer

∴

q = 95.0728kPa

Intensity of Loading given Minimum Depth of Foundation 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

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

Minimum Depth of Foundation

Minimum Depth of Foundation is around 5 feet for a small residential building from ground level or at least 1.50 times the width of footing.

Symbol: D_min

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Minimum Depth of Foundation

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

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

sin

Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse.

Syntax: sin(Angle)

Other formulas in Minimum Depth of Foundation by Rankine's Analysis category

Go Major Stress during Shear Failure by Rankine Analysis

σ major = σ min \cdot {(\tan (\frac{i \cdot 180}{π}))}^{2} + (2 \cdot C s \cdot \tan (\frac{i \cdot 180}{π}))

Go Minor Normal Stress during Shear Failure by Rankine Analysis

σ min = \frac{σ major - (2 \cdot C s \cdot \tan ((i)))}{{(\tan ((i)))}^{2}}

Go Minor Normal Stress given Unit Weight of Soil

σ min = γ \cdot D

Go Unit Weight of Soil given Minor Normal Stress

γ = \frac{σ min}{D}

How to Evaluate Intensity of Loading given Minimum Depth of Foundation?

Intensity of Loading given Minimum Depth of Foundation evaluator uses Intensity of Loading in Kilopascal = (Unit Weight of Soil*Minimum Depth of Foundation)*((1+sin((Angle of Shearing Resistance*pi)/180))/(1-sin((Angle of Shearing Resistance*pi)/180)))^2 to evaluate the Intensity of Loading in Kilopascal, The Intensity of Loading given Minimum Depth of Foundation is defined as the value of intensity of loading when we have prior information of other parameters used. Intensity of Loading in Kilopascal is denoted by q symbol.

How to evaluate Intensity of Loading given Minimum Depth of Foundation using this online evaluator? To use this online evaluator for Intensity of Loading given Minimum Depth of Foundation, enter Unit Weight of Soil (γ), Minimum Depth of Foundation (D_min) & Angle of Shearing Resistance (φ) and hit the calculate button.

FAQs on Intensity of Loading given Minimum Depth of Foundation

What is the formula to find Intensity of Loading given Minimum Depth of Foundation?

The formula of Intensity of Loading given Minimum Depth of Foundation is expressed as Intensity of Loading in Kilopascal = (Unit Weight of Soil*Minimum Depth of Foundation)*((1+sin((Angle of Shearing Resistance*pi)/180))/(1-sin((Angle of Shearing Resistance*pi)/180)))^2. Here is an example- 0.095073 = (18000*5)*((1+sin((0.785398163397301*pi)/180))/(1-sin((0.785398163397301*pi)/180)))^2.

How to calculate Intensity of Loading given Minimum Depth of Foundation?

With Unit Weight of Soil (γ), Minimum Depth of Foundation (D_min) & Angle of Shearing Resistance (φ) we can find Intensity of Loading given Minimum Depth of Foundation using the formula - Intensity of Loading in Kilopascal = (Unit Weight of Soil*Minimum Depth of Foundation)*((1+sin((Angle of Shearing Resistance*pi)/180))/(1-sin((Angle of Shearing Resistance*pi)/180)))^2. This formula also uses Archimedes' constant and Sine (sin) function(s).

Can the Intensity of Loading given Minimum Depth of Foundation be negative?

No, the Intensity of Loading given Minimum Depth of Foundation, measured in Pressure cannot be negative.

Which unit is used to measure Intensity of Loading given Minimum Depth of Foundation?

Intensity of Loading given Minimum Depth of Foundation 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 Intensity of Loading given Minimum Depth of Foundation can be measured.

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Intensity of Loading given Minimum Depth of Foundation Formula

Intensity of Loading given Minimum Depth of Foundation Example

Intensity of Loading given Minimum Depth of Foundation Solution

Intensity of Loading given Minimum Depth of Foundation Formula Elements

Other formulas in Minimum Depth of Foundation by Rankine's Analysis category

How to Evaluate Intensity of Loading given Minimum Depth of Foundation?

FAQs on Intensity of Loading given Minimum Depth of Foundation

Variable Name