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Unit Weight of Soil given Square Footing and Bearing Capacity Formula

GoUnit Weight of Soil given Shape Factor Formula

GoUnit Weight of Soil given Strip Footing and 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 s - ((1.3 \cdot C sq \cdot N c) + (σ square \cdot N q))}{0.5 \cdot N γ \cdot B square \cdot 0.8}

γ - Unit Weight of Soil?q_s - Bearing Capacity?C_sq - Cohesion of Soil given Square Footing?N_c - Bearing Capacity Factor dependent on Cohesion?σ_square - Effective Surcharge given Square Footing?N_q - Bearing Capacity Factor dependent on Surcharge?N_γ - Bearing Capacity Factor dependent on Unit Weight?B_square - Width of Footing for Square Footing?

Unit Weight of Soil given Square Footing and Bearing Capacity Example

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

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

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

17.3611 = \frac{110.819 - ((1.3 \cdot 14.72 \cdot 1.93) + (13.1 \cdot 2.01))}{0.5 \cdot 1.6 \cdot 4.28 \cdot 0.8}

17.3611kN/m³ = \frac{110.819kPa - ((1.3 \cdot 14.72kPa \cdot 1.93) + (13.1kN/m² \cdot 2.01))}{0.5 \cdot 1.6 \cdot 4.28m \cdot 0.8}

17.3611 = \frac{110.819 - ((1.3 \cdot 14.72 \cdot 1.93) + (13.1 \cdot 2.01))}{0.5 \cdot 1.6 \cdot 4.28 \cdot 0.8}

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Unit Weight of Soil given Square Footing and Bearing Capacity Solution

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

FIRST Step Consider the formula

γ = \frac{q s - ((1.3 \cdot C sq \cdot N c) + (σ square \cdot N q))}{0.5 \cdot N γ \cdot B square \cdot 0.8}

Next Step Substitute values of Variables

∴

γ = \frac{110.819kPa - ((1.3 \cdot 14.72kPa \cdot 1.93) + (13.1kN/m² \cdot 2.01))}{0.5 \cdot 1.6 \cdot 4.28m \cdot 0.8}

Next Step Convert Units

∴

γ = \frac{110819Pa - ((1.3 \cdot 14720Pa \cdot 1.93) + (13100Pa \cdot 2.01))}{0.5 \cdot 1.6 \cdot 4.28m \cdot 0.8}

Next Step Prepare to Evaluate

∴

γ = \frac{110819 - ((1.3 \cdot 14720 \cdot 1.93) + (13100 \cdot 2.01))}{0.5 \cdot 1.6 \cdot 4.28 \cdot 0.8}

Next Step Evaluate

∴

γ = 17361.0981308411N/m³

Next Step Convert to Output's Unit

∴

γ = 17.3610981308411kN/m³

LAST Step Rounding Answer

∴

γ = 17.3611kN/m³

Unit Weight of Soil given Square Footing and 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

Bearing Capacity

Bearing Capacity is the pressure exerted on the soil by a foundation or structural load, taking into account the soil's bearing capacity factors.

Symbol: q_s

Measurement: PressureUnit: kPa

Note: Value should be greater than 0.

Formulas to find Bearing Capacity

Cohesion of Soil given Square Footing

Cohesion of Soil given Square Footing is a measure of the intermolecular forces within the soil that enable it to resist being pulled apart.

Symbol: C_sq

Measurement: PressureUnit: kPa

Note: Value should be greater than 0.

Formulas to find Cohesion of Soil given Square Footing

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 given Square Footing

Effective Surcharge given Square Footing is the additional pressure exerted on the soil due to external loads, such as structures or other surface loads, which are distributed over a square footing.

Symbol: σ_square

Measurement: PressureUnit: kN/m²

Note: Value should be greater than 0.

Formulas to find Effective Surcharge given Square 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

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 for Square Footing

Width of Footing for Square Footing is the shorter dimension of the square footing.

Symbol: B_square

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Width of Footing for Square Footing

Other Formulas to find Unit Weight of Soil

Go Unit Weight of Soil given Shape Factor

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

Go Unit Weight of Soil given Strip Footing and Bearing Capacity

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

Other formulas in Specialization of Terzaghi's Equations category

Go Bearing Capacity depending on Shape Factors

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

Go Cohesion of Soil depending on Shape Factors

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

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

Unit Weight of Soil given Square Footing and Bearing Capacity evaluator uses Unit Weight of Soil = (Bearing Capacity-((1.3*Cohesion of Soil given Square Footing*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge given Square Footing*Bearing Capacity Factor dependent on Surcharge)))/(0.5*Bearing Capacity Factor dependent on Unit Weight*Width of Footing for Square Footing*0.8) to evaluate the Unit Weight of Soil, The Unit Weight of Soil given Square Footing and Bearing Capacity formula is defined as the ratio of the total weight of soil to the total volume of soil, when we have prior information of other parameters used for square footing. Unit Weight of Soil is denoted by γ symbol.

How to evaluate Unit Weight of Soil given Square Footing and Bearing Capacity using this online evaluator? To use this online evaluator for Unit Weight of Soil given Square Footing and Bearing Capacity, enter Bearing Capacity (q_s), Cohesion of Soil given Square Footing (C_sq), Bearing Capacity Factor dependent on Cohesion (N_c), Effective Surcharge given Square Footing (σ_square), Bearing Capacity Factor dependent on Surcharge (N_q), Bearing Capacity Factor dependent on Unit Weight (N_γ) & Width of Footing for Square Footing (B_square) and hit the calculate button.

FAQs on Unit Weight of Soil given Square Footing and Bearing Capacity

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

The formula of Unit Weight of Soil given Square Footing and Bearing Capacity is expressed as Unit Weight of Soil = (Bearing Capacity-((1.3*Cohesion of Soil given Square Footing*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge given Square Footing*Bearing Capacity Factor dependent on Surcharge)))/(0.5*Bearing Capacity Factor dependent on Unit Weight*Width of Footing for Square Footing*0.8). Here is an example- 0.017361 = (110819-((1.3*14720*1.93)+(13100*2.01)))/(0.5*1.6*4.28*0.8).

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

With Bearing Capacity (q_s), Cohesion of Soil given Square Footing (C_sq), Bearing Capacity Factor dependent on Cohesion (N_c), Effective Surcharge given Square Footing (σ_square), Bearing Capacity Factor dependent on Surcharge (N_q), Bearing Capacity Factor dependent on Unit Weight (N_γ) & Width of Footing for Square Footing (B_square) we can find Unit Weight of Soil given Square Footing and Bearing Capacity using the formula - Unit Weight of Soil = (Bearing Capacity-((1.3*Cohesion of Soil given Square Footing*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge given Square Footing*Bearing Capacity Factor dependent on Surcharge)))/(0.5*Bearing Capacity Factor dependent on Unit Weight*Width of Footing for Square Footing*0.8).

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-((Shape Factor dependent on Cohesion*Cohesion*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge*Bearing Capacity Factor dependent on Surcharge)))/(0.5*Bearing Capacity Factor dependent on Unit Weight*Width of Footing*Shape Factor Dependent on Unit Weight)
Unit Weight of Soil=(Bearing Capacity-((1*Cohesion of Soil given Strip Footing*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge given Strip Footing*Bearing Capacity Factor dependent on Surcharge)))/(0.5*Bearing Capacity Factor dependent on Unit Weight*Width of Footing for Strip Footing*1)
Unit Weight of Soil=(Bearing Capacity-((1.3*Cohesion of Soil given Round Footing*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge given Round Footing*Bearing Capacity Factor dependent on Surcharge)))/(0.5*Bearing Capacity Factor dependent on Unit Weight*Width of Footing for Round Footing*0.6)

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

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

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

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

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Unit Weight of Soil given Square Footing and Bearing Capacity Formula

​GoUnit Weight of Soil given Shape Factor Formula

​GoUnit Weight of Soil given Strip Footing and Bearing Capacity Formula

Unit Weight of Soil given Square Footing and Bearing Capacity Example

Unit Weight of Soil given Square Footing and Bearing Capacity Solution

Unit Weight of Soil given Square Footing and Bearing Capacity Formula Elements

Other Formulas to find Unit Weight of Soil

Other formulas in Specialization of Terzaghi's Equations category

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

FAQs on Unit Weight of Soil given Square Footing and Bearing Capacity

Variable Name

GoUnit Weight of Soil given Shape Factor Formula

GoUnit Weight of Soil given Strip Footing and Bearing Capacity Formula