Unit Weight of Soil given Safe Bearing Capacity Calculator

✖Safe Bearing Capacity is the maximum pressure which the soil can carry safely without risk of shear failure.ⓘ Safe Bearing Capacity [q_sa]			+10% -10%
✖Factor of Safety expresses how much stronger a system is than it needs to be for an intended load.ⓘ Factor of Safety [f_s]			+10% -10%
✖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.ⓘ Effective Surcharge in KiloPascal [σ_s]			+10% -10%
✖Cohesion in Soil as Kilopascal 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.ⓘ Cohesion in Soil as Kilopascal [C]			+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%
✖Bearing Capacity Factor dependent on Surcharge is a constant whose value depends upon surcharge.ⓘ Bearing Capacity Factor dependent on Surcharge [N_q]			+10% -10%
✖Width of Footing is the shorter dimension of the footing.ⓘ Width of Footing [B]			+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%

✖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 Safe Bearing Capacity [γ]

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Formula

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Unit Weight of Soil given Safe Bearing Capacity

Formula

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}

Example

6.056875 kN/m³ = \frac{((70 kN/m² \cdot 2.8) - (2.8 \cdot 45.9 kN/m²)) - ((1.27 kPa \cdot 9) + (45.9 kN/m² \cdot (2.01 - 1)))}{0.5 \cdot 2 m \cdot 1.6}

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Unit Weight of Soil given Safe Bearing Capacity Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
γ = (((q_sa*f_s)-(f_s*σ_s))-((C*N_c)+(σ_s*(N_q-1))))/(0.5*B*N_γ)
This formula uses 9 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.
Safe Bearing Capacity - (Measured in Pascal) - Safe Bearing Capacity is the maximum pressure which the soil can carry safely without risk of shear failure.
Factor of Safety - Factor of Safety expresses how much stronger a system is than it needs to be for an intended load.
Effective Surcharge in KiloPascal - (Measured in Pascal) - 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.
Cohesion in Soil as Kilopascal - (Measured in Pascal) - Cohesion in Soil as Kilopascal 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.
Bearing Capacity Factor dependent on Cohesion - Bearing Capacity Factor dependent on Cohesion is a constant whose value depends upon the cohesion of soil.
Bearing Capacity Factor dependent on Surcharge - Bearing Capacity Factor dependent on Surcharge is a constant whose value depends upon surcharge.
Width of Footing - (Measured in Meter) - Width of Footing is the shorter dimension of the 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.

STEP 1: Convert Input(s) to Base Unit

Safe Bearing Capacity: 70 Kilonewton per Square Meter --> 70000 Pascal (Check conversion here)
Factor of Safety: 2.8 --> No Conversion Required
Effective Surcharge in KiloPascal: 45.9 Kilonewton per Square Meter --> 45900 Pascal (Check conversion here)
Cohesion in Soil as Kilopascal: 1.27 Kilopascal --> 1270 Pascal (Check conversion here)
Bearing Capacity Factor dependent on Cohesion: 9 --> No Conversion Required
Bearing Capacity Factor dependent on Surcharge: 2.01 --> No Conversion Required
Width of Footing: 2 Meter --> 2 Meter No Conversion Required
Bearing Capacity Factor dependent on Unit Weight: 1.6 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

γ = (((q_sa*f_s)-(f_s*σ_s))-((C*N_c)+(σ_s*(N_q-1))))/(0.5*B*N_γ) --> (((70000*2.8)-(2.8*45900))-((1270*9)+(45900*(2.01-1))))/(0.5*2*1.6)

Evaluating ... ...

γ = 6056.87500000001

STEP 3: Convert Result to Output's Unit

6056.87500000001 Newton per Cubic Meter -->6.05687500000001 Kilonewton per Cubic Meter (Check conversion here)

FINAL ANSWER

6.05687500000001 ≈ 6.056875 Kilonewton per Cubic Meter <-- Unit Weight of Soil

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Geotechnical Engineering » Terzaghi's Analysis Shear Failure Theories » Terzaghi's Analysis in Water Table is Below the Base of Footing » Unit Weight of Soil given Safe Bearing Capacity

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< Terzaghi's Analysis in Water Table is Below the Base of Footing Calculators

Depth of Footing given Bearing Capacity Factor

Go Depth of Footing in Soil = (Ultimate Bearing Capacity in Soil-((Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight)))/(Unit Weight of Soil*Bearing Capacity Factor dependent on Surcharge)

Cohesion of Soil given Depth and Width of Footing

Go Cohesion in Soil as Kilopascal = (Ultimate Bearing Capacity in Soil-((Unit Weight of Soil*Depth of Footing in Soil*Bearing Capacity Factor dependent on Surcharge)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight)))/Bearing Capacity Factor dependent on Cohesion

Ultimate Bearing Capacity given Bearing Capacity Factor

Go Ultimate Bearing Capacity = (Cohesion of Soil*Bearing Capacity Factor dependent on Cohesion)+(Unit Weight of Soil*Depth of Footing*Bearing Capacity Factor dependent on Surcharge)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight)

Unit Weight of Soil given Depth and Width of Footing

Go 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 given Safe Bearing Capacity Formula

What is Unit Weight of Soil?

In soil engineering, unit weight for a soil is a property of a soil which is used to solve the problems related to the earthwork. Unit weight is also known by the name specific weight. 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.

How to Calculate Unit Weight of Soil given Safe Bearing Capacity?

Unit Weight of Soil given Safe Bearing Capacity calculator uses 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) to calculate the Unit Weight of Soil, The Unit Weight of Soil given Safe Bearing Capacity is defined as the weight per unit volume. Safe bearing capacity is the maximum load soil can support safely. Unit Weight of Soil is denoted by γ symbol.

How to calculate Unit Weight of Soil given Safe Bearing Capacity using this online calculator? To use this online calculator for Unit Weight of Soil given Safe Bearing Capacity, enter Safe Bearing Capacity (q_sa), Factor of Safety (f_s), Effective Surcharge in KiloPascal (σ_s), Cohesion in Soil as Kilopascal (C), Bearing Capacity Factor dependent on Cohesion (N_c), 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. Here is how the Unit Weight of Soil given Safe Bearing Capacity calculation can be explained with given input values -> 0.006344 = (((70000*2.8)-(2.8*45900))-((1270*9)+(45900*(2.01-1))))/(0.5*2*1.6).

FAQ

What is Unit Weight of Soil given Safe Bearing Capacity?

The Unit Weight of Soil given Safe Bearing Capacity is defined as the weight per unit volume. Safe bearing capacity is the maximum load soil can support safely and is represented as γ = (((q_sa*f_s)-(f_s*σ_s))-((C*N_c)+(σ_s*(N_q-1))))/(0.5*B*N_γ) or 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). Safe Bearing Capacity is the maximum pressure which the soil can carry safely without risk of shear failure, Factor of Safety expresses how much stronger a system is than it needs to be for an intended load, 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, Cohesion in Soil as Kilopascal 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, Bearing Capacity Factor dependent on Cohesion is a constant whose value depends upon the cohesion of soil, Bearing Capacity Factor dependent on Surcharge is a constant whose value depends upon surcharge, Width of Footing is the shorter dimension of the footing & Bearing Capacity Factor dependent on Unit Weight is a constant whose value depends upon unit weight of soil.

How to calculate Unit Weight of Soil given Safe Bearing Capacity?

The Unit Weight of Soil given Safe Bearing Capacity is defined as the weight per unit volume. Safe bearing capacity is the maximum load soil can support safely is calculated using 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). To calculate Unit Weight of Soil given Safe Bearing Capacity, you need Safe Bearing Capacity (q_sa), Factor of Safety (f_s), Effective Surcharge in KiloPascal (σ_s), Cohesion in Soil as Kilopascal (C), Bearing Capacity Factor dependent on Cohesion (N_c), Bearing Capacity Factor dependent on Surcharge (N_q), Width of Footing (B) & Bearing Capacity Factor dependent on Unit Weight (N_γ). With our tool, you need to enter the respective value for Safe Bearing Capacity, Factor of Safety, Effective Surcharge in KiloPascal, Cohesion in Soil as Kilopascal, Bearing Capacity Factor dependent on Cohesion, Bearing Capacity Factor dependent on Surcharge, Width of Footing & Bearing Capacity Factor dependent on Unit Weight 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 Safe Bearing Capacity, Factor of Safety, Effective Surcharge in KiloPascal, Cohesion in Soil as Kilopascal, Bearing Capacity Factor dependent on Cohesion, Bearing Capacity Factor dependent on Surcharge, Width of Footing & Bearing Capacity Factor dependent on Unit Weight. We can use 3 other way(s) to calculate the same, which is/are as follows -

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 = (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 = (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)))

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