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Unit Weight of Non Cohesive Soil given Bearing Capacity of Square Footing Formula

GoUnit Weight of Non Cohesive Soil given Bearing Capacity of Strip Footing Formula

GoUnit Weight of Non Cohesive Soil given Bearing Capacity of Circular Footing Formula

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Unit Weight of Soil mass is the ratio of the total weight of soil to the total volume of soil. Check FAQs

γ = \frac{q fc - (σ s \cdot N q)}{0.4 \cdot N γ \cdot B}

γ - Unit Weight of Soil?q_fc - Ultimate Bearing Capacity in Soil?σ_s - Effective Surcharge in KiloPascal?N_q - Bearing Capacity Factor dependent on Surcharge?N_γ - Bearing Capacity Factor dependent on Unit Weight?B - Width of Footing?

Unit Weight of Non Cohesive Soil given Bearing Capacity of Square Footing Example

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Here is how the Unit Weight of Non Cohesive Soil given Bearing Capacity of Square Footing equation looks like with Values.

Here is how the Unit Weight of Non Cohesive Soil given Bearing Capacity of Square Footing equation looks like with Units.

Here is how the Unit Weight of Non Cohesive Soil given Bearing Capacity of Square Footing equation looks like.

27.7664 = \frac{127.8 - (45.9 \cdot 2.01)}{0.4 \cdot 1.6 \cdot 2}

27.7664kN/m³ = \frac{127.8kPa - (45.9kN/m² \cdot 2.01)}{0.4 \cdot 1.6 \cdot 2m}

27.7664 = \frac{127.8 - (45.9 \cdot 2.01)}{0.4 \cdot 1.6 \cdot 2}

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Unit Weight of Non Cohesive Soil given Bearing Capacity of Square Footing Solution

Follow our step by step solution on how to calculate Unit Weight of Non Cohesive Soil given Bearing Capacity of Square Footing?

FIRST Step Consider the formula

γ = \frac{q fc - (σ s \cdot N q)}{0.4 \cdot N γ \cdot B}

Next Step Substitute values of Variables

∴

γ = \frac{127.8kPa - (45.9kN/m² \cdot 2.01)}{0.4 \cdot 1.6 \cdot 2m}

Next Step Convert Units

∴

γ = \frac{127800Pa - (45900Pa \cdot 2.01)}{0.4 \cdot 1.6 \cdot 2m}

Next Step Prepare to Evaluate

∴

γ = \frac{127800 - (45900 \cdot 2.01)}{0.4 \cdot 1.6 \cdot 2}

Next Step Evaluate

∴

γ = 27766.40625N/m³

Next Step Convert to Output's Unit

∴

γ = 27.76640625kN/m³

LAST Step Rounding Answer

∴

γ = 27.7664kN/m³

Unit Weight of Non Cohesive Soil given Bearing Capacity of Square Footing Formula Elements

Variables

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

Ultimate Bearing Capacity in Soil

Ultimate Bearing Capacity in Soil is defined as the minimum gross pressure intensity at the base of the foundation at which the soil fails in shear.

Symbol: q_fc

Measurement: PressureUnit: kPa

Note: Value should be greater than 0.

Formulas to find Ultimate Bearing Capacity in Soil

Effective Surcharge in KiloPascal

Effective Surcharge in KiloPascal also called as surcharge load refers to the vertical pressure or any load that acts over the ground surface additional to basic earth pressure.

Symbol: σ_s

Measurement: PressureUnit: kN/m²

Note: Value should be greater than 0.

Formulas to find Effective Surcharge in KiloPascal

Bearing Capacity Factor dependent on Surcharge

Bearing Capacity Factor dependent on Surcharge is a constant whose value depends upon surcharge.

Symbol: N_q

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Bearing Capacity Factor dependent on Surcharge

Bearing Capacity Factor dependent on Unit Weight

Bearing Capacity Factor dependent on Unit Weight is a constant whose value depends upon unit weight of soil.

Symbol: N_γ

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Bearing Capacity Factor dependent on Unit Weight

Width of Footing

Width of Footing 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

Other Formulas to find Unit Weight of Soil

Go Unit Weight of Non Cohesive Soil given Bearing Capacity of Strip Footing

γ = \frac{q fc - (σ s \cdot N q)}{0.5 \cdot N γ \cdot B}

Go Unit Weight of Non Cohesive Soil given Bearing Capacity of Circular Footing

γ = \frac{q fc - (σ s \cdot N q)}{0.3 \cdot N γ \cdot d section}

Other formulas in Bearing Capacity of Non cohesive Soil category

Go Bearing Capacity of Non Cohesive Soil for Strip Footing

q fc = (σ s \cdot N q) + (0.5 \cdot γ \cdot B \cdot N γ)

Go Effective Surcharge given Bearing Capacity of Non Cohesive Soil for Strip Footing

σ s = \frac{q fc - (0.5 \cdot γ \cdot B \cdot N γ)}{N q}

Go Bearing Capacity Factor Dependent on Surcharge for Strip Footing

N q = \frac{q fc - (0.5 \cdot γ \cdot B \cdot N γ)}{σ s}

Go Bearing Capacity Factor Dependent on Unit Weight for Strip Footing

N γ = \frac{q fc - (σ s \cdot N q)}{0.5 \cdot γ \cdot B}

How to Evaluate Unit Weight of Non Cohesive Soil given Bearing Capacity of Square Footing?

Unit Weight of Non Cohesive Soil given Bearing Capacity of Square Footing evaluator uses Unit Weight of Soil = (Ultimate Bearing Capacity in Soil-(Effective Surcharge in KiloPascal*Bearing Capacity Factor dependent on Surcharge))/(0.4*Bearing Capacity Factor dependent on Unit Weight*Width of Footing) to evaluate the Unit Weight of Soil, The Unit Weight of Non Cohesive Soil given Bearing Capacity of Square Footing is defined as the value of unit weight of soil when we have prior information of other parameters used. Unit Weight of Soil is denoted by γ symbol.

How to evaluate Unit Weight of Non Cohesive Soil given Bearing Capacity of Square Footing using this online evaluator? To use this online evaluator for Unit Weight of Non Cohesive Soil given Bearing Capacity of Square Footing, enter Ultimate Bearing Capacity in Soil (q_fc), Effective Surcharge in KiloPascal (σ_s), Bearing Capacity Factor dependent on Surcharge (N_q), Bearing Capacity Factor dependent on Unit Weight (N_γ) & Width of Footing (B) and hit the calculate button.

FAQs on Unit Weight of Non Cohesive Soil given Bearing Capacity of Square Footing

What is the formula to find Unit Weight of Non Cohesive Soil given Bearing Capacity of Square Footing?

The formula of Unit Weight of Non Cohesive Soil given Bearing Capacity of Square Footing is expressed as Unit Weight of Soil = (Ultimate Bearing Capacity in Soil-(Effective Surcharge in KiloPascal*Bearing Capacity Factor dependent on Surcharge))/(0.4*Bearing Capacity Factor dependent on Unit Weight*Width of Footing). Here is an example- 0.028125 = (127800-(45900*2.01))/(0.4*1.6*2).

How to calculate Unit Weight of Non Cohesive Soil given Bearing Capacity of Square Footing?

With Ultimate Bearing Capacity in Soil (q_fc), Effective Surcharge in KiloPascal (σ_s), Bearing Capacity Factor dependent on Surcharge (N_q), Bearing Capacity Factor dependent on Unit Weight (N_γ) & Width of Footing (B) we can find Unit Weight of Non Cohesive Soil given Bearing Capacity of Square Footing using the formula - Unit Weight of Soil = (Ultimate Bearing Capacity in Soil-(Effective Surcharge in KiloPascal*Bearing Capacity Factor dependent on Surcharge))/(0.4*Bearing Capacity Factor dependent on Unit Weight*Width of Footing).

What are the other ways to Calculate Unit Weight of Soil?

Here are the different ways to Calculate Unit Weight of Soil-

Unit Weight of Soil=(Ultimate Bearing Capacity in Soil-(Effective Surcharge in KiloPascal*Bearing Capacity Factor dependent on Surcharge))/(0.5*Bearing Capacity Factor dependent on Unit Weight*Width of Footing)
Unit Weight of Soil=(Ultimate Bearing Capacity in Soil-(Effective Surcharge in KiloPascal*Bearing Capacity Factor dependent on Surcharge))/(0.3*Bearing Capacity Factor dependent on Unit Weight*Diameter of Section)

Can the Unit Weight of Non Cohesive Soil given Bearing Capacity of Square Footing be negative?

No, the Unit Weight of Non Cohesive Soil given Bearing Capacity of Square Footing, measured in Specific Weight cannot be negative.

Which unit is used to measure Unit Weight of Non Cohesive Soil given Bearing Capacity of Square Footing?

Unit Weight of Non Cohesive Soil given Bearing Capacity of Square Footing 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 Unit Weight of Non Cohesive Soil given Bearing Capacity of Square Footing can be measured.

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Unit Weight of Non Cohesive Soil given Bearing Capacity of Square Footing Formula

​GoUnit Weight of Non Cohesive Soil given Bearing Capacity of Strip Footing Formula

​GoUnit Weight of Non Cohesive Soil given Bearing Capacity of Circular Footing Formula

Unit Weight of Non Cohesive Soil given Bearing Capacity of Square Footing Example

Unit Weight of Non Cohesive Soil given Bearing Capacity of Square Footing Solution

Unit Weight of Non Cohesive Soil given Bearing Capacity of Square Footing Formula Elements

Other Formulas to find Unit Weight of Soil

Other formulas in Bearing Capacity of Non cohesive Soil category

How to Evaluate Unit Weight of Non Cohesive Soil given Bearing Capacity of Square Footing?

FAQs on Unit Weight of Non Cohesive Soil given Bearing Capacity of Square Footing

Variable Name

GoUnit Weight of Non Cohesive Soil given Bearing Capacity of Strip Footing Formula

GoUnit Weight of Non Cohesive Soil given Bearing Capacity of Circular Footing Formula