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Ultimate Bearing Capacity for Rectangular Footing Formula

GoUltimate Bearing Capacity for Rectangular Footing given Shape Factor Formula

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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. Check FAQs

q fc = ((C \cdot N c) \cdot (1 + 0.3 \cdot (\frac{B}{L}))) + (σ s \cdot N q) + (0.4 \cdot γ \cdot B \cdot N γ)

q_fc - Ultimate Bearing Capacity in Soil?C - Cohesion in Soil as Kilopascal?N_c - Bearing Capacity Factor dependent on Cohesion?B - Width of Footing?L - Length of Footing?σ_s - Effective Surcharge in KiloPascal?N_q - Bearing Capacity Factor dependent on Surcharge?γ - Unit Weight of Soil?N_γ - Bearing Capacity Factor dependent on Unit Weight?

Ultimate Bearing Capacity for Rectangular Footing Example

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Here is how the Ultimate Bearing Capacity for Rectangular Footing equation looks like with Values.

Here is how the Ultimate Bearing Capacity for Rectangular Footing equation looks like with Units.

Here is how the Ultimate Bearing Capacity for Rectangular Footing equation looks like.

128.4435 = ((1.27 \cdot 9) \cdot (1 + 0.3 \cdot (\frac{2}{4}))) + (45.9 \cdot 2.01) + (0.4 \cdot 18 \cdot 2 \cdot 1.6)

128.4435kPa = ((1.27kPa \cdot 9) \cdot (1 + 0.3 \cdot (\frac{2m}{4m}))) + (45.9kN/m² \cdot 2.01) + (0.4 \cdot 18kN/m³ \cdot 2m \cdot 1.6)

128.4435 = ((1.27 \cdot 9) \cdot (1 + 0.3 \cdot (\frac{2}{4}))) + (45.9 \cdot 2.01) + (0.4 \cdot 18 \cdot 2 \cdot 1.6)

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Ultimate Bearing Capacity for Rectangular Footing Solution

Follow our step by step solution on how to calculate Ultimate Bearing Capacity for Rectangular Footing?

FIRST Step Consider the formula

q fc = ((C \cdot N c) \cdot (1 + 0.3 \cdot (\frac{B}{L}))) + (σ s \cdot N q) + (0.4 \cdot γ \cdot B \cdot N γ)

Next Step Substitute values of Variables

∴

q fc = ((1.27kPa \cdot 9) \cdot (1 + 0.3 \cdot (\frac{2m}{4m}))) + (45.9kN/m² \cdot 2.01) + (0.4 \cdot 18kN/m³ \cdot 2m \cdot 1.6)

Next Step Convert Units

∴

q fc = ((1270Pa \cdot 9) \cdot (1 + 0.3 \cdot (\frac{2m}{4m}))) + (45900Pa \cdot 2.01) + (0.4 \cdot 18000N/m³ \cdot 2m \cdot 1.6)

Next Step Prepare to Evaluate

∴

q fc = ((1270 \cdot 9) \cdot (1 + 0.3 \cdot (\frac{2}{4}))) + (45900 \cdot 2.01) + (0.4 \cdot 18000 \cdot 2 \cdot 1.6)

Next Step Evaluate

∴

q fc = 128443.5Pa

LAST Step Convert to Output's Unit

∴

q fc = 128.4435kPa

Ultimate Bearing Capacity for Rectangular Footing Formula Elements

Variables

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: q_fc

Measurement: PressureUnit: kPa

Note: Value should be greater than 0.

Formulas to find Ultimate Bearing Capacity in Soil

Cohesion in Soil as Kilopascal

Cohesion in Soil as Kilopascal 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 in Soil as Kilopascal

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

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

Length of Footing

Length of Footing is the length of the larger dimension of the footing.

Symbol: L

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Length of Footing

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

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

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 to find Ultimate Bearing Capacity in Soil

Go Ultimate Bearing Capacity for Rectangular Footing given Shape Factor

q fc = ((C \cdot N c) \cdot (1 + 0.3 \cdot (\frac{B}{L}))) + (σ s \cdot N q) + ((0.5 \cdot γ \cdot B \cdot N γ) \cdot (1 - 0.2 \cdot (\frac{B}{L})))

Other formulas in Frictional Cohesive Soil category

Go Cohesion of Soil given Ultimate Bearing Capacity for Rectangular Footing

C = \frac{q fc - ((σ s \cdot N q) + (0.4 \cdot γ \cdot B \cdot N γ))}{(N c) \cdot (1 + 0.3 \cdot (\frac{B}{L}))}

Go Bearing Capacity Factor Dependent on Cohesion for Rectangular Footing

N c = \frac{q fc - ((σ s \cdot N q) + (0.4 \cdot γ \cdot B \cdot N γ))}{(C) \cdot (1 + 0.3 \cdot (\frac{B}{L}))}

How to Evaluate Ultimate Bearing Capacity for Rectangular Footing?

Ultimate Bearing Capacity for Rectangular Footing evaluator uses Ultimate Bearing Capacity in Soil = ((Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)*(1+0.3*(Width of Footing/Length of Footing)))+(Effective Surcharge in KiloPascal*Bearing Capacity Factor dependent on Surcharge)+(0.4*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight) to evaluate the Ultimate Bearing Capacity in Soil, The Ultimate Bearing Capacity for Rectangular Footing is defined as the value of bearing capacity for rectangular footing when we have prior information of other parameters used. Ultimate Bearing Capacity in Soil is denoted by q_fc symbol.

How to evaluate Ultimate Bearing Capacity for Rectangular Footing using this online evaluator? To use this online evaluator for Ultimate Bearing Capacity for Rectangular Footing, enter Cohesion in Soil as Kilopascal (C), Bearing Capacity Factor dependent on Cohesion (N_c), Width of Footing (B), Length of Footing (L), Effective Surcharge in KiloPascal (σ_s), Bearing Capacity Factor dependent on Surcharge (N_q), Unit Weight of Soil (γ) & Bearing Capacity Factor dependent on Unit Weight (N_γ) and hit the calculate button.

FAQs on Ultimate Bearing Capacity for Rectangular Footing

What is the formula to find Ultimate Bearing Capacity for Rectangular Footing?

The formula of Ultimate Bearing Capacity for Rectangular Footing is expressed as Ultimate Bearing Capacity in Soil = ((Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)*(1+0.3*(Width of Footing/Length of Footing)))+(Effective Surcharge in KiloPascal*Bearing Capacity Factor dependent on Surcharge)+(0.4*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight). Here is an example- 0.127984 = ((1270*9)*(1+0.3*(2/4)))+(45900*2.01)+(0.4*18000*2*1.6).

How to calculate Ultimate Bearing Capacity for Rectangular Footing?

With Cohesion in Soil as Kilopascal (C), Bearing Capacity Factor dependent on Cohesion (N_c), Width of Footing (B), Length of Footing (L), Effective Surcharge in KiloPascal (σ_s), Bearing Capacity Factor dependent on Surcharge (N_q), Unit Weight of Soil (γ) & Bearing Capacity Factor dependent on Unit Weight (N_γ) we can find Ultimate Bearing Capacity for Rectangular Footing using the formula - Ultimate Bearing Capacity in Soil = ((Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)*(1+0.3*(Width of Footing/Length of Footing)))+(Effective Surcharge in KiloPascal*Bearing Capacity Factor dependent on Surcharge)+(0.4*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight).

What are the other ways to Calculate Ultimate Bearing Capacity in Soil?

Here are the different ways to Calculate Ultimate Bearing Capacity in Soil-

Ultimate Bearing Capacity in Soil=((Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)*(1+0.3*(Width of Footing/Length of Footing)))+(Effective Surcharge in KiloPascal*Bearing Capacity Factor dependent on Surcharge)+((0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight)*(1-0.2*(Width of Footing/Length of Footing)))

Can the Ultimate Bearing Capacity for Rectangular Footing be negative?

No, the Ultimate Bearing Capacity for Rectangular Footing, measured in Pressure cannot be negative.

Which unit is used to measure Ultimate Bearing Capacity for Rectangular Footing?

Ultimate Bearing Capacity for Rectangular Footing 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 Ultimate Bearing Capacity for Rectangular Footing can be measured.

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Ultimate Bearing Capacity for Rectangular Footing Formula

​GoUltimate Bearing Capacity for Rectangular Footing given Shape Factor Formula

Ultimate Bearing Capacity for Rectangular Footing Example

Ultimate Bearing Capacity for Rectangular Footing Solution

Ultimate Bearing Capacity for Rectangular Footing Formula Elements

Other Formulas to find Ultimate Bearing Capacity in Soil

Other formulas in Frictional Cohesive Soil category

How to Evaluate Ultimate Bearing Capacity for Rectangular Footing?

FAQs on Ultimate Bearing Capacity for Rectangular Footing

Variable Name

GoUltimate Bearing Capacity for Rectangular Footing given Shape Factor Formula