Unit Weight of Soil given Factor of Safety and 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%
✖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.ⓘ Cohesion of Soil [C_s]			+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%
✖Depth of Footing is the longer dimension of the footing.ⓘ Depth of Footing [D]			+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 Factor of Safety and Safe Bearing Capacity [γ]

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Unit Weight of Soil given Factor of Safety and Safe Bearing Capacity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Unit Weight of Soil = ((Safe Bearing Capacity*Factor of Safety)-((Cohesion of Soil*Bearing Capacity Factor dependent on Cohesion)))/((Bearing Capacity Factor dependent on Surcharge*Depth of Footing)+(0.5*Width of Footing*Bearing Capacity Factor dependent on Unit Weight))
γ = ((q_sa*f_s)-((C_s*N_c)))/((N_q*D)+(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.
Cohesion of Soil - (Measured in Pascal) - 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.
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.
Depth of Footing - (Measured in Meter) - Depth of Footing is the longer dimension of the footing.
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
Cohesion of Soil: 5 Kilopascal --> 5000 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
Depth of Footing: 1.01 Meter --> 1.01 Meter 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)-((C_s*N_c)))/((N_q*D)+(0.5*B*N_γ)) --> ((70000*2.8)-((5000*9)))/((2.01*1.01)+(0.5*2*1.6))

Evaluating ... ...

γ = 41596.6502300212

STEP 3: Convert Result to Output's Unit

41596.6502300212 Newton per Cubic Meter -->41.5966502300212 Kilonewton per Cubic Meter (Check conversion here)

FINAL ANSWER

41.5966502300212 ≈ 41.59665 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 Factor of Safety and 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

LaTeX 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

LaTeX 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

LaTeX 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

LaTeX 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 Factor of Safety and Safe Bearing Capacity Formula

LaTeX Go

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 Factor of Safety and Safe Bearing Capacity?

Unit Weight of Soil given Factor of Safety and Safe Bearing Capacity calculator uses Unit Weight of Soil = ((Safe Bearing Capacity*Factor of Safety)-((Cohesion of Soil*Bearing Capacity Factor dependent on Cohesion)))/((Bearing Capacity Factor dependent on Surcharge*Depth of Footing)+(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 Factor of Safety and Safe Bearing Capacity is defined as the weight per unit volume; factor of safety relates to design strength and safe bearing capacity. Unit Weight of Soil is denoted by γ symbol.

How to calculate Unit Weight of Soil given Factor of Safety and Safe Bearing Capacity using this online calculator? To use this online calculator for Unit Weight of Soil given Factor of Safety and Safe Bearing Capacity, enter Safe Bearing Capacity (q_sa), Factor of Safety (f_s), Cohesion of Soil (C_s), Bearing Capacity Factor dependent on Cohesion (N_c), Bearing Capacity Factor dependent on Surcharge (N_q), Depth of Footing (D), 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 Factor of Safety and Safe Bearing Capacity calculation can be explained with given input values -> 0.041713 = ((70000*2.8)-((5000*9)))/((2.01*1.01)+(0.5*2*1.6)).

FAQ

What is Unit Weight of Soil given Factor of Safety and Safe Bearing Capacity?

The Unit Weight of Soil given Factor of Safety and Safe Bearing Capacity is defined as the weight per unit volume; factor of safety relates to design strength and safe bearing capacity and is represented as γ = ((q_sa*f_s)-((C_s*N_c)))/((N_q*D)+(0.5*B*N_γ)) or Unit Weight of Soil = ((Safe Bearing Capacity*Factor of Safety)-((Cohesion of Soil*Bearing Capacity Factor dependent on Cohesion)))/((Bearing Capacity Factor dependent on Surcharge*Depth of Footing)+(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, 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, 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, Depth of Footing is the longer dimension of the footing, 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 Factor of Safety and Safe Bearing Capacity?

The Unit Weight of Soil given Factor of Safety and Safe Bearing Capacity is defined as the weight per unit volume; factor of safety relates to design strength and safe bearing capacity is calculated using Unit Weight of Soil = ((Safe Bearing Capacity*Factor of Safety)-((Cohesion of Soil*Bearing Capacity Factor dependent on Cohesion)))/((Bearing Capacity Factor dependent on Surcharge*Depth of Footing)+(0.5*Width of Footing*Bearing Capacity Factor dependent on Unit Weight)). To calculate Unit Weight of Soil given Factor of Safety and Safe Bearing Capacity, you need Safe Bearing Capacity (q_sa), Factor of Safety (f_s), Cohesion of Soil (C_s), Bearing Capacity Factor dependent on Cohesion (N_c), Bearing Capacity Factor dependent on Surcharge (N_q), Depth of Footing (D), 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, Cohesion of Soil, Bearing Capacity Factor dependent on Cohesion, Bearing Capacity Factor dependent on Surcharge, Depth of Footing, 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, Cohesion of Soil, Bearing Capacity Factor dependent on Cohesion, Bearing Capacity Factor dependent on Surcharge, Depth of Footing, 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 = (((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)

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