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Effective Surcharge for Rectangular Footing given Shape Factor Formula

GoEffective Surcharge for Rectangular Footing 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 fc - (((C \cdot N c) \cdot (1 + 0.3 \cdot (\frac{B}{L}))) + ((0.5 \cdot γ \cdot B \cdot N γ) \cdot (1 - 0.2 \cdot (\frac{B}{L}))))}{N q}

σ_s - Effective Surcharge in KiloPascal?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?γ - Unit Weight of Soil?N_γ - Bearing Capacity Factor dependent on Unit Weight?N_q - Bearing Capacity Factor dependent on Surcharge?

Effective Surcharge for Rectangular Footing given Shape Factor Example

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Here is how the Effective Surcharge for Rectangular Footing given Shape Factor equation looks like with Values.

Here is how the Effective Surcharge for Rectangular Footing given Shape Factor equation looks like with Units.

Here is how the Effective Surcharge for Rectangular Footing given Shape Factor equation looks like.

44.147 = \frac{127.8 - (((1.27 \cdot 9) \cdot (1 + 0.3 \cdot (\frac{2}{4}))) + ((0.5 \cdot 18 \cdot 2 \cdot 1.6) \cdot (1 - 0.2 \cdot (\frac{2}{4}))))}{2.01}

44.147kN/m² = \frac{127.8kPa - (((1.27kPa \cdot 9) \cdot (1 + 0.3 \cdot (\frac{2m}{4m}))) + ((0.5 \cdot 18kN/m³ \cdot 2m \cdot 1.6) \cdot (1 - 0.2 \cdot (\frac{2m}{4m}))))}{2.01}

44.147 = \frac{127.8 - (((1.27 \cdot 9) \cdot (1 + 0.3 \cdot (\frac{2}{4}))) + ((0.5 \cdot 18 \cdot 2 \cdot 1.6) \cdot (1 - 0.2 \cdot (\frac{2}{4}))))}{2.01}

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Effective Surcharge for Rectangular Footing given Shape Factor Solution

Follow our step by step solution on how to calculate Effective Surcharge for Rectangular Footing given Shape Factor?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

σ s = \frac{127.8kPa - (((1.27kPa \cdot 9) \cdot (1 + 0.3 \cdot (\frac{2m}{4m}))) + ((0.5 \cdot 18kN/m³ \cdot 2m \cdot 1.6) \cdot (1 - 0.2 \cdot (\frac{2m}{4m}))))}{2.01}

Next Step Convert Units

∴

σ s = \frac{127800Pa - (((1270Pa \cdot 9) \cdot (1 + 0.3 \cdot (\frac{2m}{4m}))) + ((0.5 \cdot 18000N/m³ \cdot 2m \cdot 1.6) \cdot (1 - 0.2 \cdot (\frac{2m}{4m}))))}{2.01}

Next Step Prepare to Evaluate

∴

σ s = \frac{127800 - (((1270 \cdot 9) \cdot (1 + 0.3 \cdot (\frac{2}{4}))) + ((0.5 \cdot 18000 \cdot 2 \cdot 1.6) \cdot (1 - 0.2 \cdot (\frac{2}{4}))))}{2.01}

Next Step Evaluate

∴

σ s = 44147.0149253731Pa

Next Step Convert to Output's Unit

∴

σ s = 44.1470149253731kN/m²

LAST Step Rounding Answer

∴

σ s = 44.147kN/m²

Effective Surcharge for Rectangular Footing given Shape Factor 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

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

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

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 for Rectangular Footing

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

Other formulas in Frictional Cohesive Soil category

Go Ultimate Bearing Capacity for Rectangular Footing

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)

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}))}

How to Evaluate Effective Surcharge for Rectangular Footing given Shape Factor?

Effective Surcharge for Rectangular Footing given Shape Factor evaluator uses Effective Surcharge in KiloPascal = (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)))+((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)))))/Bearing Capacity Factor dependent on Surcharge to evaluate the Effective Surcharge in KiloPascal, The Effective Surcharge for Rectangular Footing given Shape Factor is defined as the value of effective surcharge when we have prior information of other parameters used. Effective Surcharge in KiloPascal is denoted by σ_s symbol.

How to evaluate Effective Surcharge for Rectangular Footing given Shape Factor using this online evaluator? To use this online evaluator for Effective Surcharge for Rectangular Footing given Shape Factor, enter Ultimate Bearing Capacity in Soil (q_fc), Cohesion in Soil as Kilopascal (C), Bearing Capacity Factor dependent on Cohesion (N_c), Width of Footing (B), Length of Footing (L), Unit Weight of Soil (γ), 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 for Rectangular Footing given Shape Factor

What is the formula to find Effective Surcharge for Rectangular Footing given Shape Factor?

The formula of Effective Surcharge for Rectangular Footing given Shape Factor is expressed as Effective Surcharge in KiloPascal = (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)))+((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)))))/Bearing Capacity Factor dependent on Surcharge. Here is an example- 0.044368 = (127800-(((1270*9)*(1+0.3*(2/4)))+((0.5*18000*2*1.6)*(1-0.2*(2/4)))))/2.01.

How to calculate Effective Surcharge for Rectangular Footing given Shape Factor?

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

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=(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)))+(0.4*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight)))/Bearing Capacity Factor dependent on Surcharge

Can the Effective Surcharge for Rectangular Footing given Shape Factor be negative?

No, the Effective Surcharge for Rectangular Footing given Shape Factor, measured in Pressure cannot be negative.

Which unit is used to measure Effective Surcharge for Rectangular Footing given Shape Factor?

Effective Surcharge for Rectangular Footing given Shape Factor 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 for Rectangular Footing given Shape Factor can be measured.

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Effective Surcharge for Rectangular Footing given Shape Factor Formula

​GoEffective Surcharge for Rectangular Footing Formula

Effective Surcharge for Rectangular Footing given Shape Factor Example

Effective Surcharge for Rectangular Footing given Shape Factor Solution

Effective Surcharge for Rectangular Footing given Shape Factor Formula Elements

Other Formulas to find Effective Surcharge in KiloPascal

Other formulas in Frictional Cohesive Soil category

How to Evaluate Effective Surcharge for Rectangular Footing given Shape Factor?

FAQs on Effective Surcharge for Rectangular Footing given Shape Factor

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GoEffective Surcharge for Rectangular Footing Formula