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Effective Surcharge given Square Footing and Bearing Capacity Formula

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Effective Surcharge given Square Footing is the additional pressure exerted on the soil due to external loads, such as structures or other surface loads, which are distributed over a square footing. Check FAQs

σ square = \frac{q f - ((1.3 \cdot C \cdot N c) + (0.5 \cdot γ \cdot B \cdot N γ \cdot 0.8))}{N q}

σ_square - Effective Surcharge given Square Footing?q_f - Ultimate Bearing Capacity?C - Cohesion?N_c - Bearing Capacity Factor dependent on Cohesion?γ - Unit Weight of Soil?B - Width of Footing?N_γ - Bearing Capacity Factor dependent on Unit Weight?N_q - Bearing Capacity Factor dependent on Surcharge?

Effective Surcharge given Square Footing and Bearing Capacity Example

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Here is how the Effective Surcharge given Square Footing and Bearing Capacity equation looks like with Values.

Here is how the Effective Surcharge given Square Footing and Bearing Capacity equation looks like with Units.

Here is how the Effective Surcharge given Square Footing and Bearing Capacity equation looks like.

13.1079 = \frac{60 - ((1.3 \cdot 4.23 \cdot 1.93) + (0.5 \cdot 18 \cdot 2 \cdot 1.6 \cdot 0.8))}{2.01}

13.1079kN/m² = \frac{60kPa - ((1.3 \cdot 4.23kPa \cdot 1.93) + (0.5 \cdot 18kN/m³ \cdot 2m \cdot 1.6 \cdot 0.8))}{2.01}

13.1079 = \frac{60 - ((1.3 \cdot 4.23 \cdot 1.93) + (0.5 \cdot 18 \cdot 2 \cdot 1.6 \cdot 0.8))}{2.01}

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Home » Engineering » Civil » Geotechnical Engineering » Effective Surcharge given Square Footing and Bearing Capacity

Effective Surcharge given Square Footing and Bearing Capacity Solution

Follow our step by step solution on how to calculate Effective Surcharge given Square Footing and Bearing Capacity?

FIRST Step Consider the formula

σ square = \frac{q f - ((1.3 \cdot C \cdot N c) + (0.5 \cdot γ \cdot B \cdot N γ \cdot 0.8))}{N q}

Next Step Substitute values of Variables

∴

σ square = \frac{60kPa - ((1.3 \cdot 4.23kPa \cdot 1.93) + (0.5 \cdot 18kN/m³ \cdot 2m \cdot 1.6 \cdot 0.8))}{2.01}

Next Step Convert Units

∴

σ square = \frac{60000Pa - ((1.3 \cdot 4230Pa \cdot 1.93) + (0.5 \cdot 18000N/m³ \cdot 2m \cdot 1.6 \cdot 0.8))}{2.01}

Next Step Prepare to Evaluate

∴

σ square = \frac{60000 - ((1.3 \cdot 4230 \cdot 1.93) + (0.5 \cdot 18000 \cdot 2 \cdot 1.6 \cdot 0.8))}{2.01}

Next Step Evaluate

∴

σ square = 13107.9253731343Pa

Next Step Convert to Output's Unit

∴

σ square = 13.1079253731343kN/m²

LAST Step Rounding Answer

∴

σ square = 13.1079kN/m²

Effective Surcharge given Square Footing and Bearing Capacity Formula Elements

Variables

Effective Surcharge given Square Footing

Effective Surcharge given Square Footing is the additional pressure exerted on the soil due to external loads, such as structures or other surface loads, which are distributed over a square footing.

Symbol: σ_square

Measurement: PressureUnit: kN/m²

Note: Value should be greater than 0.

Ultimate Bearing Capacity

The Ultimate Bearing Capacity is defined as the minimum gross pressure intensity at the base of the foundation at which the soil fails in shear.

Symbol: q_f

Measurement: PressureUnit: kPa

Note: Value should be greater than 0.

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.

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.

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.

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.

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.

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.

Credits

Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

Suraj Kumar has created this Formula and 2100+ more formulas!

Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

Ishita Goyal has verified this Formula and 2600+ more formulas!

Other formulas in Specialization of Terzaghi's Equations category

Go Bearing Capacity depending on Shape Factors

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

Go Cohesion of Soil depending on Shape Factors

C = \frac{q f - ((σ' \cdot N q) + (0.5 \cdot γ \cdot B \cdot N γ \cdot s γ))}{s c \cdot N c}

How to Evaluate Effective Surcharge given Square Footing and Bearing Capacity?

Effective Surcharge given Square Footing and Bearing Capacity evaluator uses Effective Surcharge given Square Footing = (Ultimate Bearing Capacity-((1.3*Cohesion*Bearing Capacity Factor dependent on Cohesion)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight*0.8)))/Bearing Capacity Factor dependent on Surcharge to evaluate the Effective Surcharge given Square Footing, The Effective Surcharge given Square Footing and Bearing Capacity is defined as the additional pressure exerted on the soil due to external loads, such as structures or other surface loads, which are distributed over a square footing, when we have prior information of other parameters used for square footing. Effective Surcharge given Square Footing is denoted by σ_square symbol.

How to evaluate Effective Surcharge given Square Footing and Bearing Capacity using this online evaluator? To use this online evaluator for Effective Surcharge given Square Footing and Bearing Capacity, enter Ultimate Bearing Capacity (q_f), Cohesion (C), Bearing Capacity Factor dependent on Cohesion (N_c), Unit Weight of Soil (γ), Width of Footing (B), Bearing Capacity Factor dependent on Unit Weight (N_γ) & Bearing Capacity Factor dependent on Surcharge (N_q) and hit the calculate button.

FAQs on Effective Surcharge given Square Footing and Bearing Capacity

What is the formula to find Effective Surcharge given Square Footing and Bearing Capacity?

The formula of Effective Surcharge given Square Footing and Bearing Capacity is expressed as Effective Surcharge given Square Footing = (Ultimate Bearing Capacity-((1.3*Cohesion*Bearing Capacity Factor dependent on Cohesion)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight*0.8)))/Bearing Capacity Factor dependent on Surcharge. Here is an example- 0.013108 = (60000-((1.3*4230*1.93)+(0.5*18000*2*1.6*0.8)))/2.01.

How to calculate Effective Surcharge given Square Footing and Bearing Capacity?

With Ultimate Bearing Capacity (q_f), Cohesion (C), Bearing Capacity Factor dependent on Cohesion (N_c), Unit Weight of Soil (γ), Width of Footing (B), Bearing Capacity Factor dependent on Unit Weight (N_γ) & Bearing Capacity Factor dependent on Surcharge (N_q) we can find Effective Surcharge given Square Footing and Bearing Capacity using the formula - Effective Surcharge given Square Footing = (Ultimate Bearing Capacity-((1.3*Cohesion*Bearing Capacity Factor dependent on Cohesion)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight*0.8)))/Bearing Capacity Factor dependent on Surcharge.

Can the Effective Surcharge given Square Footing and Bearing Capacity be negative?

No, the Effective Surcharge given Square Footing and Bearing Capacity, measured in Pressure cannot be negative.

Which unit is used to measure Effective Surcharge given Square Footing and Bearing Capacity?

Effective Surcharge given Square Footing and Bearing Capacity is usually measured using the Kilonewton per Square Meter[kN/m²] for Pressure. Pascal[kN/m²], Kilopascal[kN/m²], Bar[kN/m²] are the few other units in which Effective Surcharge given Square Footing and Bearing Capacity can be measured.

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Effective Surcharge given Square Footing and Bearing Capacity Formula

Effective Surcharge given Square Footing and Bearing Capacity Example

Effective Surcharge given Square Footing and Bearing Capacity Solution

Effective Surcharge given Square Footing and Bearing Capacity Formula Elements

Credits

Other formulas in Specialization of Terzaghi's Equations category

How to Evaluate Effective Surcharge given Square Footing and Bearing Capacity?

FAQs on Effective Surcharge given Square Footing and Bearing Capacity

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