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Efficiency Factor for Group of Piles Formula

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Efficiency Factor is the ratio of ultimate group capacity to the sum of the ultimate capacity of each pile in group. Check FAQs

E g = \frac{(2 \cdot f s \cdot (b \cdot L + w \cdot L)) + (b \cdot W g)}{n \cdot Q u}

E_g - Efficiency Factor?f_s - Average Peripheral Friction Stress of Block?b - Thickness of Dam?L - Length of Soil Section?w - Width of Soil Section?W_g - Width of Group?n - Number of Piles?Q_u - Single Pile Capacity?

Efficiency Factor for Group of Piles Example

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With units

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Here is how the Efficiency Factor for Group of Piles equation looks like with Values.

Here is how the Efficiency Factor for Group of Piles equation looks like with Units.

Here is how the Efficiency Factor for Group of Piles equation looks like.

1.7194 = \frac{(2 \cdot 15 \cdot (2.2 \cdot 0.52 + 2.921 \cdot 0.52)) + (2.2 \cdot 8)}{6 \cdot 9.45}

1.7194 = \frac{(2 \cdot 15N/m² \cdot (2.2m \cdot 0.52m + 2.921m \cdot 0.52m)) + (2.2m \cdot 8m)}{6 \cdot 9.45}

1.7194 = \frac{(2 \cdot 15 \cdot (2.2 \cdot 0.52 + 2.921 \cdot 0.52)) + (2.2 \cdot 8)}{6 \cdot 9.45}

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Efficiency Factor for Group of Piles Solution

Follow our step by step solution on how to calculate Efficiency Factor for Group of Piles?

FIRST Step Consider the formula

E g = \frac{(2 \cdot f s \cdot (b \cdot L + w \cdot L)) + (b \cdot W g)}{n \cdot Q u}

Next Step Substitute values of Variables

∴

E g = \frac{(2 \cdot 15N/m² \cdot (2.2m \cdot 0.52m + 2.921m \cdot 0.52m)) + (2.2m \cdot 8m)}{6 \cdot 9.45}

Next Step Convert Units

∴

E g = \frac{(2 \cdot 15Pa \cdot (2.2m \cdot 0.52m + 2.921m \cdot 0.52m)) + (2.2m \cdot 8m)}{6 \cdot 9.45}

Next Step Prepare to Evaluate

∴

E g = \frac{(2 \cdot 15 \cdot (2.2 \cdot 0.52 + 2.921 \cdot 0.52)) + (2.2 \cdot 8)}{6 \cdot 9.45}

Next Step Evaluate

∴

E g = 1.71935802469136

LAST Step Rounding Answer

∴

E g = 1.7194

Efficiency Factor for Group of Piles Formula Elements

Variables

Efficiency Factor

Efficiency Factor is the ratio of ultimate group capacity to the sum of the ultimate capacity of each pile in group.

Symbol: E_g

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Average Peripheral Friction Stress of Block

Average Peripheral Friction Stress of Block is the average stress exerted due to friction along the perimeter of a soil or rock block when it is in contact with another material.

Symbol: f_s

Measurement: PressureUnit: N/m²

Note: Value should be greater than 0.

Thickness of Dam

Thickness of Dam is the vertical dimension of the dam structure, measured perpendicular to the base.

Symbol: b

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Length of Soil Section

Length of Soil Section is the vertical or horizontal extent of soil being analyzed or considered within a specific context.

Symbol: L

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Width of Soil Section

Width of Soil Section is the measurement or extent of something from side to side.

Symbol: w

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Width of Group

Width of Group is the total width of the pile group.

Symbol: W_g

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Number of Piles

The Number of Piles refers to the quantity of structural elements (piles) driven into or cast in the ground to support a foundation.

Symbol: n

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Single Pile Capacity

Single Pile Capacity is the maximum load-carrying capacity that an individual pile can support without causing failure or excessive settlement of the structure it supports.

Symbol: Q_u

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Credits

Creator Image

Created by

Indian Institute of Information Technology (IIIT), Bhopal

Mridul Sharma has created this Formula and 200+ more formulas!

Verifier Image

Verified by Rudrani Tidke

Cummins College of Engineering for Women (CCEW), Pune

Rudrani Tidke has verified this Formula and 50+ more formulas!

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How to Evaluate Efficiency Factor for Group of Piles?

Efficiency Factor for Group of Piles evaluator uses Efficiency Factor = ((2*Average Peripheral Friction Stress of Block*(Thickness of Dam*Length of Soil Section+Width of Soil Section*Length of Soil Section))+(Thickness of Dam*Width of Group))/(Number of Piles*Single Pile Capacity) to evaluate the Efficiency Factor, The Efficiency Factor for Group of Piles formula is defined as the ratio of the actual load capacity of the pile group to the sum of the individual capacities of the piles if they were to act independently. Efficiency Factor is denoted by E_g symbol.

How to evaluate Efficiency Factor for Group of Piles using this online evaluator? To use this online evaluator for Efficiency Factor for Group of Piles, enter Average Peripheral Friction Stress of Block (f_s), Thickness of Dam (b), Length of Soil Section (L), Width of Soil Section (w), Width of Group (W_g), Number of Piles (n) & Single Pile Capacity (Q_u) and hit the calculate button.

FAQs on Efficiency Factor for Group of Piles

What is the formula to find Efficiency Factor for Group of Piles?

The formula of Efficiency Factor for Group of Piles is expressed as Efficiency Factor = ((2*Average Peripheral Friction Stress of Block*(Thickness of Dam*Length of Soil Section+Width of Soil Section*Length of Soil Section))+(Thickness of Dam*Width of Group))/(Number of Piles*Single Pile Capacity). Here is an example- 1.719358 = ((2*15*(2.2*0.52+2.921*0.52))+(2.2*8))/(6*9.45).

How to calculate Efficiency Factor for Group of Piles?

With Average Peripheral Friction Stress of Block (f_s), Thickness of Dam (b), Length of Soil Section (L), Width of Soil Section (w), Width of Group (W_g), Number of Piles (n) & Single Pile Capacity (Q_u) we can find Efficiency Factor for Group of Piles using the formula - Efficiency Factor = ((2*Average Peripheral Friction Stress of Block*(Thickness of Dam*Length of Soil Section+Width of Soil Section*Length of Soil Section))+(Thickness of Dam*Width of Group))/(Number of Piles*Single Pile Capacity).

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