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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=qfc-(σsNq)0.5NγB
γ - Unit Weight of Soil?qfc - Ultimate Bearing Capacity in Soil?σs - Effective Surcharge in KiloPascal?Nq - Bearing Capacity Factor dependent on Surcharge?Nγ - Bearing Capacity Factor dependent on Unit Weight?B - Width of Footing?

Unit Weight of Non Cohesive Soil given Bearing Capacity of Strip Footing Example

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With units
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Here is how the Unit Weight of Non Cohesive Soil given Bearing Capacity of Strip Footing equation looks like with Values.

Here is how the Unit Weight of Non Cohesive Soil given Bearing Capacity of Strip Footing equation looks like with Units.

Here is how the Unit Weight of Non Cohesive Soil given Bearing Capacity of Strip Footing equation looks like.

22.2131Edit=127.8Edit-(45.9Edit2.01Edit)0.51.6Edit2Edit
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Unit Weight of Non Cohesive Soil given Bearing Capacity of Strip Footing Solution

Follow our step by step solution on how to calculate Unit Weight of Non Cohesive Soil given Bearing Capacity of Strip Footing?

FIRST Step Consider the formula
γ=qfc-(σsNq)0.5NγB
Next Step Substitute values of Variables
γ=127.8kPa-(45.9kN/m²2.01)0.51.62m
Next Step Convert Units
γ=127800Pa-(45900Pa2.01)0.51.62m
Next Step Prepare to Evaluate
γ=127800-(459002.01)0.51.62
Next Step Evaluate
γ=22213.125N/m³
Next Step Convert to Output's Unit
γ=22.213125kN/m³
LAST Step Rounding Answer
γ=22.2131kN/m³

Unit Weight of Non Cohesive Soil given Bearing Capacity of Strip Footing 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.
Ultimate Bearing Capacity in Soil
Ultimate Bearing Capacity in Soil is defined as the minimum gross pressure intensity at the base of the foundation at which the soil fails in shear.
Symbol: qfc
Measurement: PressureUnit: kPa
Note: Value should be greater than 0.
Effective Surcharge in KiloPascal
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.
Symbol: σs
Measurement: PressureUnit: kN/m²
Note: Value should be greater than 0.
Bearing Capacity Factor dependent on Surcharge
Bearing Capacity Factor dependent on Surcharge is a constant whose value depends upon surcharge.
Symbol: Nq
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
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: Nγ
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
Width of Footing
Width of Footing is the shorter dimension of the footing.
Symbol: B
Measurement: LengthUnit: m
Note: Value should be greater than 0.

Other Formulas to find Unit Weight of Soil

​Go Unit Weight of Non Cohesive Soil given Bearing Capacity of Circular Footing
γ=qfc-(σsNq)0.3Nγdsection
​Go Unit Weight of Non Cohesive Soil given Bearing Capacity of Square Footing
γ=qfc-(σsNq)0.4NγB

Other formulas in Bearing Capacity of Non cohesive Soil category

​Go Bearing Capacity of Non Cohesive Soil for Strip Footing
qfc=(σsNq)+(0.5γBNγ)
​Go Effective Surcharge given Bearing Capacity of Non Cohesive Soil for Strip Footing
σs=qfc-(0.5γBNγ)Nq
​Go Bearing Capacity Factor Dependent on Surcharge for Strip Footing
Nq=qfc-(0.5γBNγ)σs
​Go Bearing Capacity Factor Dependent on Unit Weight for Strip Footing
Nγ=qfc-(σsNq)0.5γB

How to Evaluate Unit Weight of Non Cohesive Soil given Bearing Capacity of Strip Footing?

Unit Weight of Non Cohesive Soil given Bearing Capacity of Strip Footing evaluator uses Unit Weight of Soil = (Ultimate Bearing Capacity in Soil-(Effective Surcharge in KiloPascal*Bearing Capacity Factor dependent on Surcharge))/(0.5*Bearing Capacity Factor dependent on Unit Weight*Width of Footing) to evaluate the Unit Weight of Soil, The Unit Weight of Non Cohesive Soil given Bearing Capacity of Strip Footing is defined as the value of unit weight of soil when we have prior information of other parameters used. Unit Weight of Soil is denoted by γ symbol.

How to evaluate Unit Weight of Non Cohesive Soil given Bearing Capacity of Strip Footing using this online evaluator? To use this online evaluator for Unit Weight of Non Cohesive Soil given Bearing Capacity of Strip Footing, enter Ultimate Bearing Capacity in Soil (qfc), Effective Surcharge in KiloPascal s), Bearing Capacity Factor dependent on Surcharge (Nq), Bearing Capacity Factor dependent on Unit Weight (Nγ) & Width of Footing (B) and hit the calculate button.

FAQs on Unit Weight of Non Cohesive Soil given Bearing Capacity of Strip Footing

What is the formula to find Unit Weight of Non Cohesive Soil given Bearing Capacity of Strip Footing?
The formula of Unit Weight of Non Cohesive Soil given Bearing Capacity of Strip Footing is expressed as Unit Weight of Soil = (Ultimate Bearing Capacity in Soil-(Effective Surcharge in KiloPascal*Bearing Capacity Factor dependent on Surcharge))/(0.5*Bearing Capacity Factor dependent on Unit Weight*Width of Footing). Here is an example- 0.0225 = (127800-(45900*2.01))/(0.5*1.6*2).
How to calculate Unit Weight of Non Cohesive Soil given Bearing Capacity of Strip Footing?
With Ultimate Bearing Capacity in Soil (qfc), Effective Surcharge in KiloPascal s), Bearing Capacity Factor dependent on Surcharge (Nq), Bearing Capacity Factor dependent on Unit Weight (Nγ) & Width of Footing (B) we can find Unit Weight of Non Cohesive Soil given Bearing Capacity of Strip Footing using the formula - Unit Weight of Soil = (Ultimate Bearing Capacity in Soil-(Effective Surcharge in KiloPascal*Bearing Capacity Factor dependent on Surcharge))/(0.5*Bearing Capacity Factor dependent on Unit Weight*Width of Footing).
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 in Soil-(Effective Surcharge in KiloPascal*Bearing Capacity Factor dependent on Surcharge))/(0.3*Bearing Capacity Factor dependent on Unit Weight*Diameter of Section)OpenImg
  • Unit Weight of Soil=(Ultimate Bearing Capacity in Soil-(Effective Surcharge in KiloPascal*Bearing Capacity Factor dependent on Surcharge))/(0.4*Bearing Capacity Factor dependent on Unit Weight*Width of Footing)OpenImg
Can the Unit Weight of Non Cohesive Soil given Bearing Capacity of Strip Footing be negative?
No, the Unit Weight of Non Cohesive Soil given Bearing Capacity of Strip Footing, measured in Specific Weight cannot be negative.
Which unit is used to measure Unit Weight of Non Cohesive Soil given Bearing Capacity of Strip Footing?
Unit Weight of Non Cohesive Soil given Bearing Capacity of Strip Footing 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 Non Cohesive Soil given Bearing Capacity of Strip Footing can be measured.
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