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Unit Weight of Soil given Depth and Width of Footing Formula

GoUnit Weight of Soil given Net Ultimate Bearing Capacity 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 f - (C s \cdot N c)}{(D \cdot N q) + (0.5 \cdot B \cdot N γ)}

γ - Unit Weight of Soil?q_f - Ultimate Bearing Capacity?C_s - Cohesion of Soil?N_c - Bearing Capacity Factor dependent on Cohesion?D - Depth of Footing?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 Depth and Width of Footing Example

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Here is how the Unit Weight of Soil given Depth and Width of Footing equation looks like with Values.

Here is how the Unit Weight of Soil given Depth and Width of Footing equation looks like with Units.

Here is how the Unit Weight of Soil given Depth and Width of Footing equation looks like.

4.1321 = \frac{60 - (5 \cdot 9)}{(1.01 \cdot 2.01) + (0.5 \cdot 2 \cdot 1.6)}

4.1321kN/m³ = \frac{60kPa - (5kPa \cdot 9)}{(1.01m \cdot 2.01) + (0.5 \cdot 2m \cdot 1.6)}

4.1321 = \frac{60 - (5 \cdot 9)}{(1.01 \cdot 2.01) + (0.5 \cdot 2 \cdot 1.6)}

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Unit Weight of Soil given Depth and Width of Footing Solution

Follow our step by step solution on how to calculate Unit Weight of Soil given Depth and Width of Footing?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

γ = \frac{60kPa - (5kPa \cdot 9)}{(1.01m \cdot 2.01) + (0.5 \cdot 2m \cdot 1.6)}

Next Step Convert Units

∴

γ = \frac{60000Pa - (5000Pa \cdot 9)}{(1.01m \cdot 2.01) + (0.5 \cdot 2m \cdot 1.6)}

Next Step Prepare to Evaluate

∴

γ = \frac{60000 - (5000 \cdot 9)}{(1.01 \cdot 2.01) + (0.5 \cdot 2 \cdot 1.6)}

Next Step Evaluate

∴

γ = 4132.11757251866N/m³

Next Step Convert to Output's Unit

∴

γ = 4.13211757251866kN/m³

LAST Step Rounding Answer

∴

γ = 4.1321kN/m³

Unit Weight of Soil given Depth and Width of 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

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

Symbol: q_f

Measurement: PressureUnit: kPa

Note: Value should be greater than 0.

Formulas to find 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

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

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 Net Ultimate Bearing Capacity

γ = \frac{q nf - ((C s \cdot N c) + (σ s \cdot (N q - 1)))}{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 Depth and Width of Footing?

Unit Weight of Soil given Depth and Width of Footing evaluator uses 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)) to evaluate the Unit Weight of Soil, The Unit Weight of Soil given Depth and Width of Footing is defined as the weight per unit volume, calculated using the depth and width of the footing. Unit Weight of Soil is denoted by γ symbol.

How to evaluate Unit Weight of Soil given Depth and Width of Footing using this online evaluator? To use this online evaluator for Unit Weight of Soil given Depth and Width of Footing, enter Ultimate Bearing Capacity (q_f), Cohesion of Soil (C_s), Bearing Capacity Factor dependent on Cohesion (N_c), Depth of Footing (D), 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 Depth and Width of Footing

What is the formula to find Unit Weight of Soil given Depth and Width of Footing?

The formula of Unit Weight of Soil given Depth and Width of Footing is expressed as 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)). Here is an example- 0.004144 = (60000-(5000*9))/((1.01*2.01)+(0.5*2*1.6)).

How to calculate Unit Weight of Soil given Depth and Width of Footing?

With Ultimate Bearing Capacity (q_f), Cohesion of Soil (C_s), Bearing Capacity Factor dependent on Cohesion (N_c), Depth of Footing (D), 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 Depth and Width of Footing using the formula - 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)).

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=(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)
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 Depth and Width of Footing be negative?

No, the Unit Weight of Soil given Depth and Width of Footing, measured in Specific Weight cannot be negative.

Which unit is used to measure Unit Weight of Soil given Depth and Width of Footing?

Unit Weight of Soil given Depth and Width of 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 Soil given Depth and Width of Footing can be measured.

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Unit Weight of Soil given Depth and Width of Footing Formula

​GoUnit Weight of Soil given Net Ultimate Bearing Capacity Formula

​GoUnit Weight of Soil given Safe Bearing Capacity Formula

Unit Weight of Soil given Depth and Width of Footing Example

Unit Weight of Soil given Depth and Width of Footing Solution

Unit Weight of Soil given Depth and Width of Footing 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 Depth and Width of Footing?

FAQs on Unit Weight of Soil given Depth and Width of Footing

Variable Name

GoUnit Weight of Soil given Net Ultimate Bearing Capacity Formula

GoUnit Weight of Soil given Safe Bearing Capacity Formula