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Lateral Deflection for Fixed Head Pile Case Formula

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Lateral Deflection Fixed Head is the movement of a building structure horizontally resulting from loads when the pile head is fixed. Check FAQs

δ = (\frac{P h \cdot {(T)}^{3}}{EI}) \cdot (A y - (\frac{A ϑ \cdot B y}{B ϑ}))

δ - Lateral Deflection Fixed Head?P_h - Laterally Applied Load?T - Characteristic Pile Length?EI - Stiffness of Pile?A_y - Coefficient Ay?A_ϑ - Coefficient Aϑ?B_y - Coefficient By?B_ϑ - Coefficient Bϑ?

Lateral Deflection for Fixed Head Pile Case Example

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Here is how the Lateral Deflection for Fixed Head Pile Case equation looks like with Values.

Here is how the Lateral Deflection for Fixed Head Pile Case equation looks like with Units.

Here is how the Lateral Deflection for Fixed Head Pile Case equation looks like.

5.8306 = (\frac{9.32 \cdot {(1.746)}^{3}}{12}) \cdot (2.01 - (\frac{0.6 \cdot 1.5}{1.501}))

5.8306m = (\frac{9.32N \cdot {(1.746m)}^{3}}{12N/m}) \cdot (2.01 - (\frac{0.6 \cdot 1.5}{1.501}))

5.8306 = (\frac{9.32 \cdot {(1.746)}^{3}}{12}) \cdot (2.01 - (\frac{0.6 \cdot 1.5}{1.501}))

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Lateral Deflection for Fixed Head Pile Case Solution

Follow our step by step solution on how to calculate Lateral Deflection for Fixed Head Pile Case?

FIRST Step Consider the formula

δ = (\frac{P h \cdot {(T)}^{3}}{EI}) \cdot (A y - (\frac{A ϑ \cdot B y}{B ϑ}))

Next Step Substitute values of Variables

∴

δ = (\frac{9.32N \cdot {(1.746m)}^{3}}{12N/m}) \cdot (2.01 - (\frac{0.6 \cdot 1.5}{1.501}))

Next Step Prepare to Evaluate

∴

δ = (\frac{9.32 \cdot {(1.746)}^{3}}{12}) \cdot (2.01 - (\frac{0.6 \cdot 1.5}{1.501}))

Next Step Evaluate

∴

δ = 5.83055104239866m

LAST Step Rounding Answer

∴

δ = 5.8306m

Lateral Deflection for Fixed Head Pile Case Formula Elements

Variables

Lateral Deflection Fixed Head

Lateral Deflection Fixed Head is the movement of a building structure horizontally resulting from loads when the pile head is fixed.

Symbol: δ

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Laterally Applied Load

Laterally Applied Load is a load that is applied horizontally or laterally to a structural element or soil mass.

Symbol: P_h

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Characteristic Pile Length

Characteristic Pile Length is the effective length of a pile that provides the necessary load-bearing capacity to support the structure's load.

Symbol: T

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Stiffness of Pile

stiffness of Pile is the ability of a pile to resist deformation under load.

Symbol: EI

Measurement: Surface TensionUnit: N/m

Note: Value should be greater than 0.

Coefficient Ay

Coefficient Ay is the non-dimensional coefficient of lateral load term.

Symbol: A_y

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Coefficient Aϑ

Coefficient Aϑ is the non dimensional constant.

Symbol: A_ϑ

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Coefficient By

Coefficient By is the non-dimensional coefficient of moment term.

Symbol: B_y

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Coefficient Bϑ

Coefficient Bϑ is the non-dimensional constant.

Symbol: B_ϑ

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 Alithea Fernandes

Don Bosco College of Engineering (DBCE), Goa

Alithea Fernandes has verified this Formula and 100+ more formulas!

Other formulas in Laterally Loaded Vertical Piles category

Go Characteristic Pile Length for Laterally Loaded Vertical Piles

T = {(\frac{EI}{n h})}^{0.5}

Go Pile Stiffness given Characteristic Pile Length for Laterally Loaded Piles

EI = ({(T)}^{2}) \cdot n h

See More

How to Evaluate Lateral Deflection for Fixed Head Pile Case?

Lateral Deflection for Fixed Head Pile Case evaluator uses Lateral Deflection Fixed Head = ((Laterally Applied Load*(Characteristic Pile Length)^3)/Stiffness of Pile)*(Coefficient Ay-((Coefficient Aϑ*Coefficient By)/Coefficient Bϑ)) to evaluate the Lateral Deflection Fixed Head, The Lateral Deflection for Fixed Head Pile Case formula is defined as the horizontal displacement or movement of a pile head under lateral loads when the pile is fixed at the head (top) and embedded into the ground. This parameter is crucial in understanding the structural behavior of piles subjected to lateral forces, such as wind or earthquake loads. Lateral Deflection Fixed Head is denoted by δ symbol.

How to evaluate Lateral Deflection for Fixed Head Pile Case using this online evaluator? To use this online evaluator for Lateral Deflection for Fixed Head Pile Case, enter Laterally Applied Load (P_h), Characteristic Pile Length (T), Stiffness of Pile (EI), Coefficient Ay (A_y), Coefficient Aϑ (A_ϑ), Coefficient By (B_y) & Coefficient Bϑ (B_ϑ) and hit the calculate button.

FAQs on Lateral Deflection for Fixed Head Pile Case

What is the formula to find Lateral Deflection for Fixed Head Pile Case?

The formula of Lateral Deflection for Fixed Head Pile Case is expressed as Lateral Deflection Fixed Head = ((Laterally Applied Load*(Characteristic Pile Length)^3)/Stiffness of Pile)*(Coefficient Ay-((Coefficient Aϑ*Coefficient By)/Coefficient Bϑ)). Here is an example- 5.830551 = ((9.32*(1.746)^3)/12)*(2.01-((0.6*1.5)/1.501)).

How to calculate Lateral Deflection for Fixed Head Pile Case?

With Laterally Applied Load (P_h), Characteristic Pile Length (T), Stiffness of Pile (EI), Coefficient Ay (A_y), Coefficient Aϑ (A_ϑ), Coefficient By (B_y) & Coefficient Bϑ (B_ϑ) we can find Lateral Deflection for Fixed Head Pile Case using the formula - Lateral Deflection Fixed Head = ((Laterally Applied Load*(Characteristic Pile Length)^3)/Stiffness of Pile)*(Coefficient Ay-((Coefficient Aϑ*Coefficient By)/Coefficient Bϑ)).

Can the Lateral Deflection for Fixed Head Pile Case be negative?

No, the Lateral Deflection for Fixed Head Pile Case, measured in Length cannot be negative.

Which unit is used to measure Lateral Deflection for Fixed Head Pile Case?

Lateral Deflection for Fixed Head Pile Case is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Lateral Deflection for Fixed Head Pile Case can be measured.

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