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Effective Surcharge given Safe Bearing Capacity Formula

GoEffective Surcharge given Bearing Capacity Factor Formula

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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. Check FAQs

σ s = \frac{(q sa \cdot f s) - ((C s \cdot N c) + (0.5 \cdot γ \cdot B \cdot N γ))}{f s + N q - 1}

σ_s - Effective Surcharge in KiloPascal?q_sa - Safe Bearing Capacity?f_s - Factor of Safety?C_s - Cohesion of Soil?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 Safe Bearing Capacity Example

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Here is how the Effective Surcharge given Safe Bearing Capacity equation looks like with Values.

Here is how the Effective Surcharge given Safe Bearing Capacity equation looks like with Units.

Here is how the Effective Surcharge given Safe Bearing Capacity equation looks like.

32.0735 = \frac{(70 \cdot 2.8) - ((5 \cdot 9) + (0.5 \cdot 18 \cdot 2 \cdot 1.6))}{2.8 + 2.01 - 1}

32.0735kN/m² = \frac{(70kN/m² \cdot 2.8) - ((5kPa \cdot 9) + (0.5 \cdot 18kN/m³ \cdot 2m \cdot 1.6))}{2.8 + 2.01 - 1}

32.0735 = \frac{(70 \cdot 2.8) - ((5 \cdot 9) + (0.5 \cdot 18 \cdot 2 \cdot 1.6))}{2.8 + 2.01 - 1}

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Effective Surcharge given Safe Bearing Capacity Solution

Follow our step by step solution on how to calculate Effective Surcharge given Safe Bearing Capacity?

FIRST Step Consider the formula

σ s = \frac{(q sa \cdot f s) - ((C s \cdot N c) + (0.5 \cdot γ \cdot B \cdot N γ))}{f s + N q - 1}

Next Step Substitute values of Variables

∴

σ s = \frac{(70kN/m² \cdot 2.8) - ((5kPa \cdot 9) + (0.5 \cdot 18kN/m³ \cdot 2m \cdot 1.6))}{2.8 + 2.01 - 1}

Next Step Convert Units

∴

σ s = \frac{(70000Pa \cdot 2.8) - ((5000Pa \cdot 9) + (0.5 \cdot 18000N/m³ \cdot 2m \cdot 1.6))}{2.8 + 2.01 - 1}

Next Step Prepare to Evaluate

∴

σ s = \frac{(70000 \cdot 2.8) - ((5000 \cdot 9) + (0.5 \cdot 18000 \cdot 2 \cdot 1.6))}{2.8 + 2.01 - 1}

Next Step Evaluate

∴

σ s = 32073.4908136483Pa

Next Step Convert to Output's Unit

∴

σ s = 32.0734908136483kN/m²

LAST Step Rounding Answer

∴

σ s = 32.0735kN/m²

Effective Surcharge given Safe Bearing Capacity Formula Elements

Variables

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: σ_s

Measurement: PressureUnit: kN/m²

Note: Value should be greater than 0.

Formulas to find Effective Surcharge in KiloPascal

Safe Bearing Capacity

Safe Bearing Capacity is the maximum pressure which the soil can carry safely without risk of shear failure.

Symbol: q_sa

Measurement: PressureUnit: kN/m²

Note: Value should be greater than 0.

Formulas to find Safe Bearing Capacity

Factor of Safety

Factor of Safety expresses how much stronger a system is than it needs to be for an intended load.

Symbol: f_s

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Factor of Safety

Cohesion of Soil

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.

Symbol: C_s

Measurement: PressureUnit: kPa

Note: Value should be greater than 0.

Formulas to find Cohesion of Soil

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

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

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

Other Formulas to find Effective Surcharge in KiloPascal

Go Effective Surcharge given Bearing Capacity Factor

σ s = \frac{q nf - ((C s \cdot N c) + (0.5 \cdot γ \cdot B \cdot N γ))}{N q - 1}

Other formulas in Terzaghi's Analysis in Water Table is Below the Base of Footing category

Go Ultimate Bearing Capacity given Bearing Capacity Factor

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

Go Cohesion of Soil given Depth and Width of Footing

C = \frac{q fc - ((γ \cdot D footing \cdot N q) + (0.5 \cdot γ \cdot B \cdot N γ))}{N c}

How to Evaluate Effective Surcharge given Safe Bearing Capacity?

Effective Surcharge given Safe Bearing Capacity evaluator uses Effective Surcharge in KiloPascal = ((Safe Bearing Capacity*Factor of Safety)-((Cohesion of Soil*Bearing Capacity Factor dependent on Cohesion)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight)))/(Factor of Safety+Bearing Capacity Factor dependent on Surcharge-1) to evaluate the Effective Surcharge in KiloPascal, The Effective Surcharge given Safe Bearing Capacity is defined as surcharge is effective when it stays below the soil's safe bearing capacity, ensuring stable foundation support and preventing failure. Effective Surcharge in KiloPascal is denoted by σ_s symbol.

How to evaluate Effective Surcharge given Safe Bearing Capacity using this online evaluator? To use this online evaluator for Effective Surcharge given 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), 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 Safe Bearing Capacity

What is the formula to find Effective Surcharge given Safe Bearing Capacity?

The formula of Effective Surcharge given Safe Bearing Capacity is expressed as Effective Surcharge in KiloPascal = ((Safe Bearing Capacity*Factor of Safety)-((Cohesion of Soil*Bearing Capacity Factor dependent on Cohesion)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight)))/(Factor of Safety+Bearing Capacity Factor dependent on Surcharge-1). Here is an example- 0.032158 = ((70000*2.8)-((5000*9)+(0.5*18000*2*1.6)))/(2.8+2.01-1).

How to calculate Effective Surcharge given Safe Bearing Capacity?

With Safe Bearing Capacity (q_sa), Factor of Safety (f_s), Cohesion of Soil (C_s), 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 Safe Bearing Capacity using the formula - Effective Surcharge in KiloPascal = ((Safe Bearing Capacity*Factor of Safety)-((Cohesion of Soil*Bearing Capacity Factor dependent on Cohesion)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight)))/(Factor of Safety+Bearing Capacity Factor dependent on Surcharge-1).

What are the other ways to Calculate Effective Surcharge in KiloPascal?

Here are the different ways to Calculate Effective Surcharge in KiloPascal-

Effective Surcharge in KiloPascal=(Net Ultimate Bearing Capacity-((Cohesion of Soil*Bearing Capacity Factor dependent on Cohesion)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight)))/(Bearing Capacity Factor dependent on Surcharge-1)

Can the Effective Surcharge given Safe Bearing Capacity be negative?

No, the Effective Surcharge given Safe Bearing Capacity, measured in Pressure cannot be negative.

Which unit is used to measure Effective Surcharge given Safe Bearing Capacity?

Effective Surcharge given Safe 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 Safe Bearing Capacity can be measured.

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Effective Surcharge given Safe Bearing Capacity Formula

​GoEffective Surcharge given Bearing Capacity Factor Formula

Effective Surcharge given Safe Bearing Capacity Example

Effective Surcharge given Safe Bearing Capacity Solution

Effective Surcharge given Safe Bearing Capacity Formula Elements

Other Formulas to find Effective Surcharge in KiloPascal

Other formulas in Terzaghi's Analysis in Water Table is Below the Base of Footing category

How to Evaluate Effective Surcharge given Safe Bearing Capacity?

FAQs on Effective Surcharge given Safe Bearing Capacity

Variable Name

GoEffective Surcharge given Bearing Capacity Factor Formula