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Depth of Footing given Minor Normal Stress Formula

GoDepth of Footing given Major 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 min}{γ}

D - Depth of Footing?σ_min - Minor Principal Stress in Soil?γ - Unit Weight of Soil?

Depth of Footing given Minor Normal Stress Example

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

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

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

5.3389 = \frac{0.0961}{18}

5.3389m = \frac{0.0961MPa}{18kN/m³}

5.3389 = \frac{0.0961}{18}

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Depth of Footing given Minor Normal Stress Solution

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

FIRST Step Consider the formula

D = \frac{σ min}{γ}

Next Step Substitute values of Variables

∴

D = \frac{0.0961MPa}{18kN/m³}

Next Step Convert Units

∴

D = \frac{96100Pa}{18000N/m³}

Next Step Prepare to Evaluate

∴

D = \frac{96100}{18000}

Next Step Evaluate

∴

D = 5.33888888888889m

LAST Step Rounding Answer

∴

D = 5.3389m

Depth of Footing given Minor Normal Stress Formula Elements

Variables

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

Minor Principal Stress in Soil

Minor Principal Stress in Soil is defined as the plane carrying minimum normal stress is known as minor. principal plane and the stress acting on it is called as minor principal stress.

Symbol: σ_min

Measurement: StressUnit: MPa

Note: Value should be greater than 0.

Formulas to find Minor 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

Other Formulas to find Depth of Footing

Go Depth of Footing given Major Normal Stress

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

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 Minor Normal Stress?

Depth of Footing given Minor Normal Stress evaluator uses Depth of Footing = Minor Principal Stress in Soil/Unit Weight of Soil to evaluate the Depth of Footing, The Depth of Footing given Minor 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 Minor Normal Stress using this online evaluator? To use this online evaluator for Depth of Footing given Minor Normal Stress, enter Minor Principal Stress in Soil (σ_min) & Unit Weight of Soil (γ) and hit the calculate button.

FAQs on Depth of Footing given Minor Normal Stress

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

The formula of Depth of Footing given Minor Normal Stress is expressed as Depth of Footing = Minor Principal Stress in Soil/Unit Weight of Soil. Here is an example- 5.338889 = 96100/18000.

How to calculate Depth of Footing given Minor Normal Stress?

With Minor Principal Stress in Soil (σ_min) & Unit Weight of Soil (γ) we can find Depth of Footing given Minor Normal Stress using the formula - Depth of Footing = Minor Principal Stress in Soil/Unit Weight of Soil.

What are the other ways to Calculate Depth of Footing?

Here are the different ways to Calculate Depth of Footing-

Depth of Footing=Major Principal Stress in Soil/(Unit Weight of Soil*(tan(Angle of Inclination to Horizontal in Soil))^2)
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 Minor Normal Stress be negative?

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

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

Depth of Footing given Minor 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 Minor Normal Stress can be measured.

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Depth of Footing given Minor Normal Stress Formula

​GoDepth of Footing given Major Normal Stress Formula

​GoDepth of Footing given Angle of Inclination from Horizontal Formula

Depth of Footing given Minor Normal Stress Example

Depth of Footing given Minor Normal Stress Solution

Depth of Footing given Minor 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 Minor Normal Stress?

FAQs on Depth of Footing given Minor Normal Stress

Variable Name

GoDepth of Footing given Major Normal Stress Formula

GoDepth of Footing given Angle of Inclination from Horizontal Formula