Average Unit Weight of Soil given Net Ultimate 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%
✖Net Ultimate Bearing Capacity in Soil is the minimum net pressure intensity causing shear failure.ⓘ Net Ultimate Bearing Capacity in Soil [q_net]			+10% -10%
✖Factor of Safety in Soil Mechanics is a dimensionless number defined as the ratio of the soil's shear strength (or the strength of a geotechnical structure) to the actual stress or load applied to it.ⓘ Factor of Safety in Soil Mechanics [F_s]			+10% -10%
✖Depth of Footing in Soil is the longer dimension of the footing in soil mechanics.ⓘ Depth of Footing in Soil [D_footing]			+10% -10%

✖Average Unit Weight is the average of the values of unit weight that we get from different test cases.ⓘ Average Unit Weight of Soil given Net Ultimate Bearing Capacity [γ_avg]

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Average Unit Weight of Soil given Net Ultimate Bearing Capacity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Average Unit Weight = (Safe Bearing Capacity-(Net Ultimate Bearing Capacity in Soil/Factor of Safety in Soil Mechanics))/Depth of Footing in Soil
γ_avg = (q_sa-(q_net/F_s))/D_footing
This formula uses 5 Variables

Variables Used

Average Unit Weight - (Measured in Newton per Cubic Meter) - Average Unit Weight is the average of the values of unit weight that we get from different test cases.
Safe Bearing Capacity - (Measured in Pascal) - Safe Bearing Capacity is the maximum pressure which the soil can carry safely without risk of shear failure.
Net Ultimate Bearing Capacity in Soil - (Measured in Pascal) - Net Ultimate Bearing Capacity in Soil is the minimum net pressure intensity causing shear failure.
Factor of Safety in Soil Mechanics - Factor of Safety in Soil Mechanics is a dimensionless number defined as the ratio of the soil's shear strength (or the strength of a geotechnical structure) to the actual stress or load applied to it.
Depth of Footing in Soil - (Measured in Meter) - Depth of Footing in Soil is the longer dimension of the footing in soil mechanics.

STEP 1: Convert Input(s) to Base Unit

Safe Bearing Capacity: 36.34 Kilonewton per Square Meter --> 36340 Pascal (Check conversion here)
Net Ultimate Bearing Capacity in Soil: 38.3 Kilonewton per Square Meter --> 38300 Pascal (Check conversion here)
Factor of Safety in Soil Mechanics: 2.8 --> No Conversion Required
Depth of Footing in Soil: 2.54 Meter --> 2.54 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

γ_avg = (q_sa-(q_net/F_s))/D_footing --> (36340-(38300/2.8))/2.54

Evaluating ... ...

γ_avg = 8921.82227221597

STEP 3: Convert Result to Output's Unit

8921.82227221597 Newton per Cubic Meter -->8.92182227221597 Kilonewton per Cubic Meter (Check conversion here)

FINAL ANSWER

8.92182227221597 ≈ 8.921822 Kilonewton per Cubic Meter <-- Average Unit Weight

(Calculation completed in 00.005 seconds)

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Home » Engineering » Civil » Geotechnical Engineering » Relationships of Weights and Volumes in Soils » Unit Weight of Soil » Average Unit Weight of Soil given Net Ultimate Bearing Capacity

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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Average Unit Weight of Soil given Net Ultimate Bearing Capacity Formula

LaTeX Go

Average Unit Weight = (Safe Bearing Capacity-(Net Ultimate Bearing Capacity in Soil/Factor of Safety in Soil Mechanics))/Depth of Footing in Soil
γ_avg = (q_sa-(q_net/F_s))/D_footing

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 Average Unit Weight of Soil given Net Ultimate Bearing Capacity?

Average Unit Weight of Soil given Net Ultimate Bearing Capacity calculator uses Average Unit Weight = (Safe Bearing Capacity-(Net Ultimate Bearing Capacity in Soil/Factor of Safety in Soil Mechanics))/Depth of Footing in Soil to calculate the Average Unit Weight, The Average Unit Weight of Soil given Net Ultimate Bearing Capacity is defined as the value of average unit weight of soil when we have prior information of other parameters used. Average Unit Weight is denoted by γ_avg symbol.

How to calculate Average Unit Weight of Soil given Net Ultimate Bearing Capacity using this online calculator? To use this online calculator for Average Unit Weight of Soil given Net Ultimate Bearing Capacity, enter Safe Bearing Capacity (q_sa), Net Ultimate Bearing Capacity in Soil (q_net), Factor of Safety in Soil Mechanics (F_s) & Depth of Footing in Soil (D_footing) and hit the calculate button. Here is how the Average Unit Weight of Soil given Net Ultimate Bearing Capacity calculation can be explained with given input values -> 8921.822 = (36340-(38300/2.8))/2.54.

FAQ

What is Average Unit Weight of Soil given Net Ultimate Bearing Capacity?

The Average Unit Weight of Soil given Net Ultimate Bearing Capacity is defined as the value of average unit weight of soil when we have prior information of other parameters used and is represented as γ_avg = (q_sa-(q_net/F_s))/D_footing or Average Unit Weight = (Safe Bearing Capacity-(Net Ultimate Bearing Capacity in Soil/Factor of Safety in Soil Mechanics))/Depth of Footing in Soil. Safe Bearing Capacity is the maximum pressure which the soil can carry safely without risk of shear failure, Net Ultimate Bearing Capacity in Soil is the minimum net pressure intensity causing shear failure, Factor of Safety in Soil Mechanics is a dimensionless number defined as the ratio of the soil's shear strength (or the strength of a geotechnical structure) to the actual stress or load applied to it & Depth of Footing in Soil is the longer dimension of the footing in soil mechanics.

How to calculate Average Unit Weight of Soil given Net Ultimate Bearing Capacity?

The Average Unit Weight of Soil given Net Ultimate Bearing Capacity is defined as the value of average unit weight of soil when we have prior information of other parameters used is calculated using Average Unit Weight = (Safe Bearing Capacity-(Net Ultimate Bearing Capacity in Soil/Factor of Safety in Soil Mechanics))/Depth of Footing in Soil. To calculate Average Unit Weight of Soil given Net Ultimate Bearing Capacity, you need Safe Bearing Capacity (q_sa), Net Ultimate Bearing Capacity in Soil (q_net), Factor of Safety in Soil Mechanics (F_s) & Depth of Footing in Soil (D_footing). With our tool, you need to enter the respective value for Safe Bearing Capacity, Net Ultimate Bearing Capacity in Soil, Factor of Safety in Soil Mechanics & Depth of Footing in Soil 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 Average Unit Weight?

In this formula, Average Unit Weight uses Safe Bearing Capacity, Net Ultimate Bearing Capacity in Soil, Factor of Safety in Soil Mechanics & Depth of Footing in Soil. We can use 1 other way(s) to calculate the same, which is/are as follows -

Average Unit Weight = (Safe Bearing Capacity-Net Safe Bearing Capacity in Soil)/Depth of Footing in Soil

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