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Unit Weight of Soil given Bearing Capacity for Purely Cohesive Soil Formula

GoUnit Weight of Soil given Value of Bearing Capacity Factor 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}

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?

Unit Weight of Soil given Bearing Capacity for Purely Cohesive Soil Example

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Here is how the Unit Weight of Soil given Bearing Capacity for Purely Cohesive Soil equation looks like with Values.

Here is how the Unit Weight of Soil given Bearing Capacity for Purely Cohesive Soil equation looks like with Units.

Here is how the Unit Weight of Soil given Bearing Capacity for Purely Cohesive Soil equation looks like.

7.3888 = \frac{60 - (5 \cdot 9)}{1.01 \cdot 2.01}

7.3888kN/m³ = \frac{60kPa - (5kPa \cdot 9)}{1.01m \cdot 2.01}

7.3888 = \frac{60 - (5 \cdot 9)}{1.01 \cdot 2.01}

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Unit Weight of Soil given Bearing Capacity for Purely Cohesive Soil Solution

Follow our step by step solution on how to calculate Unit Weight of Soil given Bearing Capacity for Purely Cohesive Soil?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Convert Units

∴

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

Next Step Prepare to Evaluate

∴

γ = \frac{60000 - (5000 \cdot 9)}{1.01 \cdot 2.01}

Next Step Evaluate

∴

γ = 7388.79858135067N/m³

Next Step Convert to Output's Unit

∴

γ = 7.38879858135067kN/m³

LAST Step Rounding Answer

∴

γ = 7.3888kN/m³

Unit Weight of Soil given Bearing Capacity for Purely Cohesive Soil 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

Other Formulas to find Unit Weight of Soil

Go Unit Weight of Soil given Value of Bearing Capacity Factor

γ = \frac{q f - (C s \cdot 5.7)}{D}

Other formulas in Terzaghi's Analysis Purely Cohesive Soil category

Go Bearing Capacity for Purely Cohesive Soil

q f = ((C s \cdot N c) + (σ s \cdot N q))

Go Cohesion of Soil given Bearing Capacity for Purely Cohesive Soil

C s = \frac{q fc - (σ s \cdot N q)}{N c}

Go Bearing Capacity Factor Dependent on cohesion for Purely Cohesive Soil

N c = \frac{q fc - ((σ s) \cdot N q)}{C s}

Go Effective Surcharge given Bearing Capacity for Purely Cohesive Soil

σ s = \frac{q f - (C s \cdot N c)}{N q}

How to Evaluate Unit Weight of Soil given Bearing Capacity for Purely Cohesive Soil?

Unit Weight of Soil given Bearing Capacity for Purely Cohesive Soil 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) to evaluate the Unit Weight of Soil, The Unit Weight of Soil given Bearing Capacity for Purely Cohesive Soil is defined as the weight per unit volume, relevant to the bearing capacity of purely cohesive soil. Unit Weight of Soil is denoted by γ symbol.

How to evaluate Unit Weight of Soil given Bearing Capacity for Purely Cohesive Soil using this online evaluator? To use this online evaluator for Unit Weight of Soil given Bearing Capacity for Purely Cohesive Soil, 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) and hit the calculate button.

FAQs on Unit Weight of Soil given Bearing Capacity for Purely Cohesive Soil

What is the formula to find Unit Weight of Soil given Bearing Capacity for Purely Cohesive Soil?

The formula of Unit Weight of Soil given Bearing Capacity for Purely Cohesive Soil 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). Here is an example- 0.007426 = (60000-(5000*9))/(1.01*2.01).

How to calculate Unit Weight of Soil given Bearing Capacity for Purely Cohesive Soil?

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) we can find Unit Weight of Soil given Bearing Capacity for Purely Cohesive Soil 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).

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*5.7))/(Depth of Footing)

Can the Unit Weight of Soil given Bearing Capacity for Purely Cohesive Soil be negative?

No, the Unit Weight of Soil given Bearing Capacity for Purely Cohesive Soil, measured in Specific Weight cannot be negative.

Which unit is used to measure Unit Weight of Soil given Bearing Capacity for Purely Cohesive Soil?

Unit Weight of Soil given Bearing Capacity for Purely Cohesive Soil 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 Bearing Capacity for Purely Cohesive Soil can be measured.

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Unit Weight of Soil given Bearing Capacity for Purely Cohesive Soil Formula

​GoUnit Weight of Soil given Value of Bearing Capacity Factor Formula

Unit Weight of Soil given Bearing Capacity for Purely Cohesive Soil Example

Unit Weight of Soil given Bearing Capacity for Purely Cohesive Soil Solution

Unit Weight of Soil given Bearing Capacity for Purely Cohesive Soil Formula Elements

Other Formulas to find Unit Weight of Soil

Other formulas in Terzaghi's Analysis Purely Cohesive Soil category

How to Evaluate Unit Weight of Soil given Bearing Capacity for Purely Cohesive Soil?

FAQs on Unit Weight of Soil given Bearing Capacity for Purely Cohesive Soil

Variable Name

GoUnit Weight of Soil given Value of Bearing Capacity Factor Formula