Unit Weight of Soil given Square Footing and Bearing Capacity Calculator

✖Bearing Capacity is the pressure exerted on the soil by a foundation or structural load, taking into account the soil's bearing capacity factors.ⓘ Bearing Capacity [q_s]			+10% -10%
✖Cohesion of Soil given Square Footing is a measure of the intermolecular forces within the soil that enable it to resist being pulled apart.ⓘ Cohesion of Soil given Square Footing [C_sq]			+10% -10%
✖Bearing Capacity Factor dependent on Cohesion is a constant whose value depends upon the cohesion of soil.ⓘ Bearing Capacity Factor dependent on Cohesion [N_c]			+10% -10%
✖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.ⓘ Effective Surcharge given Square Footing [σ_square]			+10% -10%
✖Bearing Capacity Factor dependent on Surcharge is a constant whose value depends upon surcharge.ⓘ Bearing Capacity Factor dependent on Surcharge [N_q]			+10% -10%
✖Bearing Capacity Factor dependent on Unit Weight is a constant whose value depends upon unit weight of soil.ⓘ Bearing Capacity Factor dependent on Unit Weight [N_γ]			+10% -10%
✖Width of Footing for Square Footing is the shorter dimension of the square footing.ⓘ Width of Footing for Square Footing [B_square]			+10% -10%

✖Unit Weight of Soil mass is the ratio of the total weight of soil to the total volume of soil.ⓘ Unit Weight of Soil given Square Footing and Bearing Capacity [γ]

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Formula

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Unit Weight of Soil given Square Footing and Bearing Capacity

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}

Example

17.3611 kN/m³ = \frac{110.819 kPa - ((1.3 \cdot 14.72 kPa \cdot 1.93) + (13.10 kN/m² \cdot 2.01))}{0.5 \cdot 1.6 \cdot 4.28 m \cdot 0.8}

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Unit Weight of Soil given Square Footing and Bearing Capacity Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
γ = (q_s-((1.3*C_sq*N_c)+(σ_square*N_q)))/(0.5*N_γ*B_square*0.8)
This formula uses 8 Variables

Variables Used

Unit Weight of Soil - (Measured in Newton per Cubic Meter) - Unit Weight of Soil mass is the ratio of the total weight of soil to the total volume of soil.
Bearing Capacity - (Measured in Pascal) - Bearing Capacity is the pressure exerted on the soil by a foundation or structural load, taking into account the soil's bearing capacity factors.
Cohesion of Soil given Square Footing - (Measured in Pascal) - Cohesion of Soil given Square Footing is a measure of the intermolecular forces within the soil that enable it to resist being pulled apart.
Bearing Capacity Factor dependent on Cohesion - Bearing Capacity Factor dependent on Cohesion is a constant whose value depends upon the cohesion of soil.
Effective Surcharge given Square Footing - (Measured in Pascal) - 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.
Bearing Capacity Factor dependent on Surcharge - Bearing Capacity Factor dependent on Surcharge is a constant whose value depends upon 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.
Width of Footing for Square Footing - (Measured in Meter) - Width of Footing for Square Footing is the shorter dimension of the square footing.

STEP 1: Convert Input(s) to Base Unit

Bearing Capacity: 110.819 Kilopascal --> 110819 Pascal (Check conversion here)
Cohesion of Soil given Square Footing: 14.72 Kilopascal --> 14720 Pascal (Check conversion here)
Bearing Capacity Factor dependent on Cohesion: 1.93 --> No Conversion Required
Effective Surcharge given Square Footing: 13.1 Kilonewton per Square Meter --> 13100 Pascal (Check conversion here)
Bearing Capacity Factor dependent on Surcharge: 2.01 --> No Conversion Required
Bearing Capacity Factor dependent on Unit Weight: 1.6 --> No Conversion Required
Width of Footing for Square Footing: 4.28 Meter --> 4.28 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

γ = (q_s-((1.3*C_sq*N_c)+(σ_square*N_q)))/(0.5*N_γ*B_square*0.8) --> (110819-((1.3*14720*1.93)+(13100*2.01)))/(0.5*1.6*4.28*0.8)

Evaluating ... ...

γ = 17361.0981308411

STEP 3: Convert Result to Output's Unit

17361.0981308411 Newton per Cubic Meter -->17.3610981308411 Kilonewton per Cubic Meter (Check conversion here)

FINAL ANSWER

17.3610981308411 ≈ 17.3611 Kilonewton per Cubic Meter <-- Unit Weight of Soil

(Calculation completed in 00.020 seconds)

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Home » Engineering » Civil » Geotechnical Engineering » Bearing Capacity of Soil by Terzaghi's Analysis » Specialization of Terzaghi's Equations » Unit Weight of Soil given Square Footing and Bearing Capacity

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< Specialization of Terzaghi's Equations Calculators

Bearing Capacity Factor Dependent on Cohesion

Go Bearing Capacity Factor dependent on Cohesion = (Ultimate Bearing Capacity-((Effective Surcharge*Bearing Capacity Factor dependent on Surcharge)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight*Shape Factor Dependent on Unit Weight)))/(Shape Factor dependent on Cohesion*Cohesion)

Cohesion of Soil depending on Shape Factors

Go Cohesion = (Ultimate Bearing Capacity-((Effective Surcharge*Bearing Capacity Factor dependent on Surcharge)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight*Shape Factor Dependent on Unit Weight)))/(Shape Factor dependent on Cohesion*Bearing Capacity Factor dependent on Cohesion)

Shape Factor Dependent on Cohesion

Go Shape Factor dependent on Cohesion = (Ultimate Bearing Capacity-((Effective Surcharge*Bearing Capacity Factor dependent on Surcharge)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight*Shape Factor Dependent on Unit Weight)))/(Bearing Capacity Factor dependent on Cohesion*Cohesion)

Bearing Capacity depending on Shape Factors

Go Bearing Capacity = (Shape Factor dependent on Cohesion*Cohesion*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge (KN/m2)*Bearing Capacity Factor dependent on Surcharge)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight*Shape Factor Dependent on Unit Weight)

Unit Weight of Soil given Square Footing and Bearing Capacity Formula

What is Unit Weight of Soil?

Unit weight of the soil is the total weight of the soil divided by total volume. Total weight of soil also includes weight of water. Total volume occupied includes the volume of water as well as the volume of air along with the soil volume.

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

Unit Weight of Soil given Square Footing and Bearing Capacity calculator 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 calculate 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 calculate Unit Weight of Soil given Square Footing and Bearing Capacity using this online calculator? To use this online calculator 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. Here is how the Unit Weight of Soil given Square Footing and Bearing Capacity calculation can be explained with given input values -> 0.017361 = (110819-((1.3*14720*1.93)+(13100*2.01)))/(0.5*1.6*4.28*0.8).

FAQ

What is Unit Weight of Soil given Square Footing and Bearing Capacity?

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 and is represented as γ = (q_s-((1.3*C_sq*N_c)+(σ_square*N_q)))/(0.5*N_γ*B_square*0.8) or 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). Bearing Capacity is the pressure exerted on the soil by a foundation or structural load, taking into account the soil's bearing capacity factors, Cohesion of Soil given Square Footing is a measure of the intermolecular forces within the soil that enable it to resist being pulled apart, Bearing Capacity Factor dependent on Cohesion is a constant whose value depends upon the cohesion of soil, 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, Bearing Capacity Factor dependent on Surcharge is a constant whose value depends upon surcharge, Bearing Capacity Factor dependent on Unit Weight is a constant whose value depends upon unit weight of soil & Width of Footing for Square Footing is the shorter dimension of the square footing.

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

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 is calculated using 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 calculate Unit Weight of Soil given Square Footing and Bearing Capacity, you need 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). With our tool, you need to enter the respective value for Bearing Capacity, Cohesion of Soil given Square Footing, Bearing Capacity Factor dependent on Cohesion, Effective Surcharge given Square Footing, Bearing Capacity Factor dependent on Surcharge, Bearing Capacity Factor dependent on Unit Weight & Width of Footing for Square Footing and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Unit Weight of Soil?

In this formula, Unit Weight of Soil uses Bearing Capacity, Cohesion of Soil given Square Footing, Bearing Capacity Factor dependent on Cohesion, Effective Surcharge given Square Footing, Bearing Capacity Factor dependent on Surcharge, Bearing Capacity Factor dependent on Unit Weight & Width of Footing for Square Footing. We can use 3 other way(s) to calculate the same, which is/are as follows -

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)

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