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Average Unit Weight of Soil given Net Ultimate Bearing Capacity Formula

GoAverage Unit Weight of Soil given Safe Bearing Capacity Formula

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Average Unit Weight is the average of the values of unit weight that we get from different test cases. Check FAQs

γ avg = \frac{q sa - (\frac{q net}{F s})}{D footing}

γ_avg - Average Unit Weight?q_sa - Safe Bearing Capacity?q_net - Net Ultimate Bearing Capacity in Soil?F_s - Factor of Safety in Soil Mechanics?D_footing - Depth of Footing in Soil?

Average Unit Weight of Soil given Net Ultimate Bearing Capacity Example

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Here is how the Average Unit Weight of Soil given Net Ultimate Bearing Capacity equation looks like with Values.

Here is how the Average Unit Weight of Soil given Net Ultimate Bearing Capacity equation looks like with Units.

Here is how the Average Unit Weight of Soil given Net Ultimate Bearing Capacity equation looks like.

8.9218 = \frac{36.34 - (\frac{38.3}{2.8})}{2.54}

8.9218kN/m³ = \frac{36.34kN/m² - (\frac{38.3kN/m²}{2.8})}{2.54m}

8.9218 = \frac{36.34 - (\frac{38.3}{2.8})}{2.54}

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Average Unit Weight of Soil given Net Ultimate Bearing Capacity Solution

Follow our step by step solution on how to calculate Average Unit Weight of Soil given Net Ultimate Bearing Capacity?

FIRST Step Consider the formula

γ avg = \frac{q sa - (\frac{q net}{F s})}{D footing}

Next Step Substitute values of Variables

∴

γ avg = \frac{36.34kN/m² - (\frac{38.3kN/m²}{2.8})}{2.54m}

Next Step Convert Units

∴

γ avg = \frac{36340Pa - (\frac{38300Pa}{2.8})}{2.54m}

Next Step Prepare to Evaluate

∴

γ avg = \frac{36340 - (\frac{38300}{2.8})}{2.54}

Next Step Evaluate

∴

γ avg = 8921.82227221597N/m³

Next Step Convert to Output's Unit

∴

γ avg = 8.92182227221597kN/m³

LAST Step Rounding Answer

∴

γ avg = 8.9218kN/m³

Average Unit Weight of Soil given Net Ultimate Bearing Capacity Formula Elements

Variables

Average Unit Weight

Average Unit Weight is the average of the values of unit weight that we get from different test cases.

Symbol: γ_avg

Measurement: Specific WeightUnit: kN/m³

Note: Value should be greater than 0.

Formulas to find Average Unit Weight

Safe Bearing Capacity

Safe Bearing Capacity is the maximum pressure which the soil can carry safely without risk of shear failure.

Symbol: q_sa

Measurement: PressureUnit: kN/m²

Note: Value should be greater than 0.

Formulas to find Safe Bearing Capacity

Net Ultimate Bearing Capacity in Soil

Net Ultimate Bearing Capacity in Soil is the minimum net pressure intensity causing shear failure.

Symbol: q_net

Measurement: PressureUnit: kN/m²

Note: Value should be greater than 0.

Formulas to find Net Ultimate Bearing Capacity in Soil

Factor of Safety in Soil Mechanics

Factor of Safety in Soil Mechanics is a dimensionless number defined as the ratio of the soil's shear strength (or the strength of a geotechnical structure) to the actual stress or load applied to it.

Symbol: F_s

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Factor of Safety in Soil Mechanics

Depth of Footing in Soil

Depth of Footing in Soil is the longer dimension of the footing in soil mechanics.

Symbol: D_footing

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Depth of Footing in Soil

Other Formulas to find Average Unit Weight

Go Average Unit Weight of Soil given Safe Bearing Capacity

γ avg = \frac{q sa - q nsa}{D footing}

Other formulas in Unit Weight of Soil category

Go Gross Pressure Intensity given Net Pressure Intensity

q g = q n + σ s

Go Gross Pressure Intensity given Average Unit Weight of Soil

q g = q n + (γ \cdot D footing)

Go Average Unit Weight of Soil given Net Pressure Intensity

γ = \frac{q g - q n}{D footing}

Go Average Unit Weight of Soil given Effective Surcharge

γ = \frac{σ s}{D footing}

How to Evaluate Average Unit Weight of Soil given Net Ultimate Bearing Capacity?

Average Unit Weight of Soil given Net Ultimate Bearing Capacity evaluator uses Average Unit Weight = (Safe Bearing Capacity-(Net Ultimate Bearing Capacity in Soil/Factor of Safety in Soil Mechanics))/Depth of Footing in Soil to evaluate the Average Unit Weight, The Average Unit Weight of Soil given Net Ultimate Bearing Capacity is defined as the value of average unit weight of soil when we have prior information of other parameters used. Average Unit Weight is denoted by γ_avg symbol.

How to evaluate Average Unit Weight of Soil given Net Ultimate Bearing Capacity using this online evaluator? To use this online evaluator for Average Unit Weight of Soil given Net Ultimate Bearing Capacity, enter Safe Bearing Capacity (q_sa), Net Ultimate Bearing Capacity in Soil (q_net), Factor of Safety in Soil Mechanics (F_s) & Depth of Footing in Soil (D_footing) and hit the calculate button.

FAQs on Average Unit Weight of Soil given Net Ultimate Bearing Capacity

What is the formula to find Average Unit Weight of Soil given Net Ultimate Bearing Capacity?

The formula of Average Unit Weight of Soil given Net Ultimate Bearing Capacity is expressed as Average Unit Weight = (Safe Bearing Capacity-(Net Ultimate Bearing Capacity in Soil/Factor of Safety in Soil Mechanics))/Depth of Footing in Soil. Here is an example- 8921.822 = (36340-(38300/2.8))/2.54.

How to calculate Average Unit Weight of Soil given Net Ultimate Bearing Capacity?

With Safe Bearing Capacity (q_sa), Net Ultimate Bearing Capacity in Soil (q_net), Factor of Safety in Soil Mechanics (F_s) & Depth of Footing in Soil (D_footing) we can find Average Unit Weight of Soil given Net Ultimate Bearing Capacity using the formula - Average Unit Weight = (Safe Bearing Capacity-(Net Ultimate Bearing Capacity in Soil/Factor of Safety in Soil Mechanics))/Depth of Footing in Soil.

What are the other ways to Calculate Average Unit Weight?

Here are the different ways to Calculate Average Unit Weight-

Average Unit Weight=(Safe Bearing Capacity-Net Safe Bearing Capacity in Soil)/Depth of Footing in Soil

Can the Average Unit Weight of Soil given Net Ultimate Bearing Capacity be negative?

No, the Average Unit Weight of Soil given Net Ultimate Bearing Capacity, measured in Specific Weight cannot be negative.

Which unit is used to measure Average Unit Weight of Soil given Net Ultimate Bearing Capacity?

Average Unit Weight of Soil given Net Ultimate Bearing Capacity is usually measured using the Kilonewton per Cubic Meter[kN/m³] for Specific Weight. Newton per Cubic Meter[kN/m³], Newton per Cubic Centimeter[kN/m³], Newton per Cubic Millimeter[kN/m³] are the few other units in which Average Unit Weight of Soil given Net Ultimate Bearing Capacity can be measured.

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Average Unit Weight of Soil given Net Ultimate Bearing Capacity Formula

​GoAverage Unit Weight of Soil given Safe Bearing Capacity Formula

Average Unit Weight of Soil given Net Ultimate Bearing Capacity Example

Average Unit Weight of Soil given Net Ultimate Bearing Capacity Solution

Average Unit Weight of Soil given Net Ultimate Bearing Capacity Formula Elements

Other Formulas to find Average Unit Weight

Other formulas in Unit Weight of Soil category

How to Evaluate Average Unit Weight of Soil given Net Ultimate Bearing Capacity?

FAQs on Average Unit Weight of Soil given Net Ultimate Bearing Capacity

Variable Name

GoAverage Unit Weight of Soil given Safe Bearing Capacity Formula