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Loading Intensity using Bearing Capacity Factors Formula

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Loading Intensity with Bearing Capacity Factors is the load per unit area applied to the foundation of a structure, considering the bearing capacity of the soil. Check FAQs

q b = (C \cdot N c) + (σ s \cdot N q) + (0.5 \cdot γ \cdot B \cdot N γ)

q_b - Loading Intensity with Bearing Capacity Factors?C - Cohesion?N_c - Bearing Capacity Factor dependent on Cohesion?σ_s - Effective Surcharge (KN/m2)?N_q - Bearing Capacity Factor dependent on Surcharge?γ - Unit Weight of Soil?B - Width of Footing?N_γ - Bearing Capacity Factor dependent on Unit Weight?

Loading Intensity using Bearing Capacity Factors Example

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With units

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Here is how the Loading Intensity using Bearing Capacity Factors equation looks like with Values.

Here is how the Loading Intensity using Bearing Capacity Factors equation looks like with Units.

Here is how the Loading Intensity using Bearing Capacity Factors equation looks like.

129.2229 = (4.23 \cdot 1.93) + (45.9 \cdot 2.01) + (0.5 \cdot 18 \cdot 2 \cdot 1.6)

129.2229kPa = (4.23kPa \cdot 1.93) + (45.9kN/m² \cdot 2.01) + (0.5 \cdot 18kN/m³ \cdot 2m \cdot 1.6)

129.2229 = (4.23 \cdot 1.93) + (45.9 \cdot 2.01) + (0.5 \cdot 18 \cdot 2 \cdot 1.6)

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Loading Intensity using Bearing Capacity Factors Solution

Follow our step by step solution on how to calculate Loading Intensity using Bearing Capacity Factors?

FIRST Step Consider the formula

q b = (C \cdot N c) + (σ s \cdot N q) + (0.5 \cdot γ \cdot B \cdot N γ)

Next Step Substitute values of Variables

∴

q b = (4.23kPa \cdot 1.93) + (45.9kN/m² \cdot 2.01) + (0.5 \cdot 18kN/m³ \cdot 2m \cdot 1.6)

Next Step Convert Units

∴

q b = (4230Pa \cdot 1.93) + (45900Pa \cdot 2.01) + (0.5 \cdot 18000N/m³ \cdot 2m \cdot 1.6)

Next Step Prepare to Evaluate

∴

q b = (4230 \cdot 1.93) + (45900 \cdot 2.01) + (0.5 \cdot 18000 \cdot 2 \cdot 1.6)

Next Step Evaluate

∴

q b = 129222.9Pa

LAST Step Convert to Output's Unit

∴

q b = 129.2229kPa

Loading Intensity using Bearing Capacity Factors Formula Elements

Variables

Loading Intensity with Bearing Capacity Factors

Loading Intensity with Bearing Capacity Factors is the load per unit area applied to the foundation of a structure, considering the bearing capacity of the soil.

Symbol: q_b

Measurement: PressureUnit: kPa

Note: Value should be greater than 0.

Formulas to find Loading Intensity with Bearing Capacity Factors

Cohesion

Cohesion 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.

Symbol: C

Measurement: PressureUnit: kPa

Note: Value should be between 0 to 50.

Formulas to find Cohesion

Bearing Capacity Factor dependent on Cohesion

Bearing Capacity Factor dependent on Cohesion is a constant whose value depends upon the cohesion of soil.

Symbol: N_c

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Bearing Capacity Factor dependent on Cohesion

Effective Surcharge (KN/m2)

Effective Surcharge (KN/m2) 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: σ_s

Measurement: PressureUnit: kN/m²

Note: Value should be greater than 0.

Formulas to find Effective Surcharge (KN/m2)

Bearing Capacity Factor dependent on Surcharge

Bearing Capacity Factor dependent on Surcharge is a constant whose value depends upon surcharge.

Symbol: N_q

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Bearing Capacity Factor dependent on Surcharge

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.

Formulas to find Unit Weight of Soil

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.

Formulas to find Width of 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.

Symbol: N_γ

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Bearing Capacity Factor dependent on Unit Weight

Other formulas in Bearing Capacity of Soil by Terzaghi's Analysis category

Go Downward Force on Wedge

R v = q \cdot B + (\frac{γ \cdot B^{2} \cdot \tan (φ) \cdot (\frac{π}{180})}{4})

Go Width of Footing given Load Intensity

B = \frac{- q + \sqrt{{(q)}^{2} + R v \cdot γ \cdot \tan (φ)}}{\frac{γ \cdot \tan (φ)}{2}}

How to Evaluate Loading Intensity using Bearing Capacity Factors?

Loading Intensity using Bearing Capacity Factors evaluator uses Loading Intensity with Bearing Capacity Factors = (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) to evaluate the Loading Intensity with Bearing Capacity Factors, The Loading Intensity using Bearing Capacity Factors formula is defined as the value of load per unit area applied to the foundation of a structure, considering the bearing capacity of the soil, when we have prior information of soils bearing capacity factors. Loading Intensity with Bearing Capacity Factors is denoted by q_b symbol.

How to evaluate Loading Intensity using Bearing Capacity Factors using this online evaluator? To use this online evaluator for Loading Intensity using Bearing Capacity Factors, enter Cohesion (C), Bearing Capacity Factor dependent on Cohesion (N_c), Effective Surcharge (KN/m2) (σ_s), Bearing Capacity Factor dependent on Surcharge (N_q), Unit Weight of Soil (γ), Width of Footing (B) & Bearing Capacity Factor dependent on Unit Weight (N_γ) and hit the calculate button.

FAQs on Loading Intensity using Bearing Capacity Factors

What is the formula to find Loading Intensity using Bearing Capacity Factors?

The formula of Loading Intensity using Bearing Capacity Factors is expressed as Loading Intensity with Bearing Capacity Factors = (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). Here is an example- 0.159129 = (4230*1.93)+(45900*2.01)+(0.5*18000*2*1.6).

How to calculate Loading Intensity using Bearing Capacity Factors?

With Cohesion (C), Bearing Capacity Factor dependent on Cohesion (N_c), Effective Surcharge (KN/m2) (σ_s), Bearing Capacity Factor dependent on Surcharge (N_q), Unit Weight of Soil (γ), Width of Footing (B) & Bearing Capacity Factor dependent on Unit Weight (N_γ) we can find Loading Intensity using Bearing Capacity Factors using the formula - Loading Intensity with Bearing Capacity Factors = (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).

Can the Loading Intensity using Bearing Capacity Factors be negative?

No, the Loading Intensity using Bearing Capacity Factors, measured in Pressure cannot be negative.

Which unit is used to measure Loading Intensity using Bearing Capacity Factors?

Loading Intensity using Bearing Capacity Factors is usually measured using the Kilopascal[kPa] for Pressure. Pascal[kPa], Bar[kPa], Pound Per Square Inch[kPa] are the few other units in which Loading Intensity using Bearing Capacity Factors can be measured.

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Loading Intensity using Bearing Capacity Factors Formula

Loading Intensity using Bearing Capacity Factors Example

Loading Intensity using Bearing Capacity Factors Solution

Loading Intensity using Bearing Capacity Factors Formula Elements

Other formulas in Bearing Capacity of Soil by Terzaghi's Analysis category

How to Evaluate Loading Intensity using Bearing Capacity Factors?

FAQs on Loading Intensity using Bearing Capacity Factors

Variable Name