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Depth of Footing given Major Normal Stress Formula

GoDepth of Footing given Minor Normal Stress Formula

GoDepth of Footing given Angle of Inclination from Horizontal Formula

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Depth of Footing is the longer dimension of the footing. Check FAQs

D = \frac{σ major}{γ \cdot {(\tan (i))}^{2}}

D - Depth of Footing?σ_major - Major Principal Stress in Soil?γ - Unit Weight of Soil?i - Angle of Inclination to Horizontal in Soil?

Depth of Footing given Major Normal Stress Example

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Here is how the Depth of Footing given Major Normal Stress equation looks like with Values.

Here is how the Depth of Footing given Major Normal Stress equation looks like with Units.

Here is how the Depth of Footing given Major Normal Stress equation looks like.

9.9118 = \frac{0.75}{18 \cdot {(\tan (64))}^{2}}

9.9118m = \frac{0.75MPa}{18kN/m³ \cdot {(\tan (64°))}^{2}}

9.9118 = \frac{0.75}{18 \cdot {(\tan (64))}^{2}}

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Depth of Footing given Major Normal Stress Solution

Follow our step by step solution on how to calculate Depth of Footing given Major Normal Stress?

FIRST Step Consider the formula

D = \frac{σ major}{γ \cdot {(\tan (i))}^{2}}

Next Step Substitute values of Variables

∴

D = \frac{0.75MPa}{18kN/m³ \cdot {(\tan (64°))}^{2}}

Next Step Convert Units

∴

D = \frac{750000Pa}{18000N/m³ \cdot {(\tan (1.117rad))}^{2}}

Next Step Prepare to Evaluate

∴

D = \frac{750000}{18000 \cdot {(\tan (1.117))}^{2}}

Next Step Evaluate

∴

D = 9.91179491455878m

LAST Step Rounding Answer

∴

D = 9.9118m

Depth of Footing given Major Normal Stress Formula Elements

Variables

Functions

Depth of Footing

Depth of Footing is the longer dimension of the footing.

Symbol: D

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Depth of Footing

Major Principal Stress in Soil

Major Principal Stress in Soil can be defined as the maximum normal stress acting on the principal plane in soil mechanics.

Symbol: σ_major

Measurement: StressUnit: MPa

Note: Value should be greater than 0.

Formulas to find Major Principal Stress in Soil

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

Angle of Inclination to Horizontal in Soil

Angle of Inclination to Horizontal in Soil is defined as the angle measured from the horizontal surface of the wall or any object.

Symbol: i

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Angle of Inclination to Horizontal in Soil

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 to find Depth of Footing

Go Depth of Footing given Minor Normal Stress

D = \frac{σ min}{γ}

Go Depth of Footing given Angle of Inclination from Horizontal

D = \frac{q f}{γ \cdot {(\tan (\frac{i \cdot π}{180}))}^{4}}

Go Depth of Footing given Net Pressure Intensity

D = \frac{q g - q n}{γ}

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 Depth of Footing given Major Normal Stress?

Depth of Footing given Major Normal Stress evaluator uses Depth of Footing = Major Principal Stress in Soil/(Unit Weight of Soil*(tan(Angle of Inclination to Horizontal in Soil))^2) to evaluate the Depth of Footing, The Depth of Footing given Major Normal Stress is defined as the value of depth of footing when we have prior information of other parameters used. Depth of Footing is denoted by D symbol.

How to evaluate Depth of Footing given Major Normal Stress using this online evaluator? To use this online evaluator for Depth of Footing given Major Normal Stress, enter Major Principal Stress in Soil (σ_major), Unit Weight of Soil (γ) & Angle of Inclination to Horizontal in Soil (i) and hit the calculate button.

FAQs on Depth of Footing given Major Normal Stress

What is the formula to find Depth of Footing given Major Normal Stress?

The formula of Depth of Footing given Major Normal Stress is expressed as Depth of Footing = Major Principal Stress in Soil/(Unit Weight of Soil*(tan(Angle of Inclination to Horizontal in Soil))^2). Here is an example- 991.1795 = 750000/(18000*(tan(1.11701072127616))^2).

How to calculate Depth of Footing given Major Normal Stress?

With Major Principal Stress in Soil (σ_major), Unit Weight of Soil (γ) & Angle of Inclination to Horizontal in Soil (i) we can find Depth of Footing given Major Normal Stress using the formula - Depth of Footing = Major Principal Stress in Soil/(Unit Weight of Soil*(tan(Angle of Inclination to Horizontal in Soil))^2). This formula also uses Tangent (tan) function(s).

What are the other ways to Calculate Depth of Footing?

Here are the different ways to Calculate Depth of Footing-

Depth of Footing=Minor Principal Stress in Soil/Unit Weight of Soil
Depth of Footing=Ultimate Bearing Capacity in Soil/(Unit Weight of Soil*(tan((Angle of Inclination to Horizontal in Soil*pi)/180))^4)
Depth of Footing=(Gross Pressure-Net Pressure)/Unit Weight of Soil

Can the Depth of Footing given Major Normal Stress be negative?

No, the Depth of Footing given Major Normal Stress, measured in Length cannot be negative.

Which unit is used to measure Depth of Footing given Major Normal Stress?

Depth of Footing given Major Normal Stress is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Depth of Footing given Major Normal Stress can be measured.

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Depth of Footing given Major Normal Stress Formula

​GoDepth of Footing given Minor Normal Stress Formula

​GoDepth of Footing given Angle of Inclination from Horizontal Formula

Depth of Footing given Major Normal Stress Example

Depth of Footing given Major Normal Stress Solution

Depth of Footing given Major Normal Stress Formula Elements

Other Formulas to find Depth of Footing

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

How to Evaluate Depth of Footing given Major Normal Stress?

FAQs on Depth of Footing given Major Normal Stress

Variable Name

GoDepth of Footing given Minor Normal Stress Formula

GoDepth of Footing given Angle of Inclination from Horizontal Formula