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Unit Weight of Soil given Net Ultimate Bearing Capacity Formula

GoUnit Weight of Soil given Depth and Width of Footing Formula

GoUnit Weight of Soil given Safe Bearing Capacity 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 nf - ((C s \cdot N c) + (σ s \cdot (N q - 1)))}{0.5 \cdot B \cdot N γ}

γ - Unit Weight of Soil?q_nf - Net Ultimate Bearing Capacity?C_s - Cohesion of Soil?N_c - Bearing Capacity Factor dependent on Cohesion?σ_s - Effective Surcharge in KiloPascal?N_q - Bearing Capacity Factor dependent on Surcharge?B - Width of Footing?N_γ - Bearing Capacity Factor dependent on Unit Weight?

Unit Weight of Soil given Net Ultimate Bearing Capacity Example

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

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

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

36.6506 = \frac{150 - ((5 \cdot 9) + (45.9 \cdot (2.01 - 1)))}{0.5 \cdot 2 \cdot 1.6}

36.6506kN/m³ = \frac{150kN/m² - ((5kPa \cdot 9) + (45.9kN/m² \cdot (2.01 - 1)))}{0.5 \cdot 2m \cdot 1.6}

36.6506 = \frac{150 - ((5 \cdot 9) + (45.9 \cdot (2.01 - 1)))}{0.5 \cdot 2 \cdot 1.6}

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Unit Weight of Soil given Net Ultimate Bearing Capacity Solution

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

FIRST Step Consider the formula

γ = \frac{q nf - ((C s \cdot N c) + (σ s \cdot (N q - 1)))}{0.5 \cdot B \cdot N γ}

Next Step Substitute values of Variables

∴

γ = \frac{150kN/m² - ((5kPa \cdot 9) + (45.9kN/m² \cdot (2.01 - 1)))}{0.5 \cdot 2m \cdot 1.6}

Next Step Convert Units

∴

γ = \frac{150000Pa - ((5000Pa \cdot 9) + (45900Pa \cdot (2.01 - 1)))}{0.5 \cdot 2m \cdot 1.6}

Next Step Prepare to Evaluate

∴

γ = \frac{150000 - ((5000 \cdot 9) + (45900 \cdot (2.01 - 1)))}{0.5 \cdot 2 \cdot 1.6}

Next Step Evaluate

∴

γ = 36650.625N/m³

Next Step Convert to Output's Unit

∴

γ = 36.650625kN/m³

LAST Step Rounding Answer

∴

γ = 36.6506kN/m³

Unit Weight of Soil given Net Ultimate Bearing Capacity 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

Net Ultimate Bearing Capacity

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

Symbol: q_nf

Measurement: PressureUnit: kN/m²

Note: Value should be greater than 0.

Formulas to find Net Ultimate Bearing Capacity

Cohesion of Soil

Cohesion of Soil is the ability of like particles within soil to hold onto each other. It is the shear strength or force that binds together like particles in the structure of a soil.

Symbol: C_s

Measurement: PressureUnit: kPa

Note: Value should be greater than 0.

Formulas to find Cohesion of Soil

Bearing Capacity Factor dependent on Cohesion

Bearing Capacity Factor dependent on Cohesion is a constant whose value depends upon the cohesion of soil.

Symbol: N_c

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Bearing Capacity Factor dependent on Cohesion

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

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

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

Other Formulas to find Unit Weight of Soil

Go Unit Weight of Soil given Depth and Width of Footing

γ = \frac{q f - (C s \cdot N c)}{(D \cdot N q) + (0.5 \cdot B \cdot N γ)}

Go Unit Weight of Soil given Safe Bearing Capacity

γ = \frac{((q sa \cdot f s) - (f s \cdot σ s)) - ((C \cdot N c) + (σ s \cdot (N q - 1)))}{0.5 \cdot B \cdot N γ}

Other formulas in Terzaghi's Analysis in Water Table is Below the Base of Footing category

Go Ultimate Bearing Capacity given Bearing Capacity Factor

q f = (C s \cdot N c) + (γ \cdot D \cdot N q) + (0.5 \cdot γ \cdot B \cdot N γ)

Go Cohesion of Soil given Depth and Width of Footing

C = \frac{q fc - ((γ \cdot D footing \cdot N q) + (0.5 \cdot γ \cdot B \cdot N γ))}{N c}

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

Unit Weight of Soil given Net Ultimate Bearing Capacity evaluator uses Unit Weight of Soil = (Net Ultimate Bearing Capacity-((Cohesion of Soil*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge in KiloPascal*(Bearing Capacity Factor dependent on Surcharge-1))))/(0.5*Width of Footing*Bearing Capacity Factor dependent on Unit Weight) to evaluate the Unit Weight of Soil, The Unit Weight of Soil given Net Ultimate Bearing Capacity is defined as 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 Soil given Net Ultimate Bearing Capacity using this online evaluator? To use this online evaluator for Unit Weight of Soil given Net Ultimate Bearing Capacity, enter Net Ultimate Bearing Capacity (q_nf), Cohesion of Soil (C_s), Bearing Capacity Factor dependent on Cohesion (N_c), Effective Surcharge in KiloPascal (σ_s), Bearing Capacity Factor dependent on Surcharge (N_q), Width of Footing (B) & Bearing Capacity Factor dependent on Unit Weight (N_γ) and hit the calculate button.

FAQs on Unit Weight of Soil given Net Ultimate Bearing Capacity

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

The formula of Unit Weight of Soil given Net Ultimate Bearing Capacity is expressed as Unit Weight of Soil = (Net Ultimate Bearing Capacity-((Cohesion of Soil*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge in KiloPascal*(Bearing Capacity Factor dependent on Surcharge-1))))/(0.5*Width of Footing*Bearing Capacity Factor dependent on Unit Weight). Here is an example- 0.036938 = (150000-((5000*9)+(45900*(2.01-1))))/(0.5*2*1.6).

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

With Net Ultimate Bearing Capacity (q_nf), Cohesion of Soil (C_s), Bearing Capacity Factor dependent on Cohesion (N_c), Effective Surcharge in KiloPascal (σ_s), Bearing Capacity Factor dependent on Surcharge (N_q), Width of Footing (B) & Bearing Capacity Factor dependent on Unit Weight (N_γ) we can find Unit Weight of Soil given Net Ultimate Bearing Capacity using the formula - Unit Weight of Soil = (Net Ultimate Bearing Capacity-((Cohesion of Soil*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge in KiloPascal*(Bearing Capacity Factor dependent on Surcharge-1))))/(0.5*Width of Footing*Bearing Capacity Factor dependent on Unit Weight).

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-(Cohesion of Soil*Bearing Capacity Factor dependent on Cohesion))/((Depth of Footing*Bearing Capacity Factor dependent on Surcharge)+(0.5*Width of Footing*Bearing Capacity Factor dependent on Unit Weight))
Unit Weight of Soil=(((Safe Bearing Capacity*Factor of Safety)-(Factor of Safety*Effective Surcharge in KiloPascal))-((Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge in KiloPascal*(Bearing Capacity Factor dependent on Surcharge-1))))/(0.5*Width of Footing*Bearing Capacity Factor dependent on Unit Weight)
Unit Weight of Soil=(Net Ultimate Bearing Capacity-(Cohesion of Soil*Bearing Capacity Factor dependent on Cohesion))/((0.5*Width of Footing*Bearing Capacity Factor dependent on Unit Weight)+(Depth of Footing*(Bearing Capacity Factor dependent on Surcharge-1)))

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

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

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

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 Unit Weight of Soil given Net Ultimate Bearing Capacity can be measured.

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Unit Weight of Soil given Net Ultimate Bearing Capacity Formula

​GoUnit Weight of Soil given Depth and Width of Footing Formula

​GoUnit Weight of Soil given Safe Bearing Capacity Formula

Unit Weight of Soil given Net Ultimate Bearing Capacity Example

Unit Weight of Soil given Net Ultimate Bearing Capacity Solution

Unit Weight of Soil given Net Ultimate Bearing Capacity Formula Elements

Other Formulas to find Unit Weight of Soil

Other formulas in Terzaghi's Analysis in Water Table is Below the Base of Footing category

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

FAQs on Unit Weight of Soil given Net Ultimate Bearing Capacity

Variable Name

GoUnit Weight of Soil given Depth and Width of Footing Formula

GoUnit Weight of Soil given Safe Bearing Capacity Formula