Lateral Deflection for Fixed Head Pile Case Calculator

✖Laterally Applied Load is a load that is applied horizontally or laterally to a structural element or soil mass.ⓘ Laterally Applied Load [P_h]			+10% -10%
✖Characteristic Pile Length is the effective length of a pile that provides the necessary load-bearing capacity to support the structure's load.ⓘ Characteristic Pile Length [T]			+10% -10%
✖stiffness of Pile is the ability of a pile to resist deformation under load.ⓘ Stiffness of Pile [EI]			+10% -10%
✖Coefficient Ay is the non-dimensional coefficient of lateral load term.ⓘ Coefficient Ay [A_y]			+10% -10%
✖Coefficient Aϑ is the non dimensional constant.ⓘ Coefficient Aϑ [A_ϑ]			+10% -10%
✖Coefficient By is the non-dimensional coefficient of moment term.ⓘ Coefficient By [B_y]			+10% -10%
✖Coefficient Bϑ is the non-dimensional constant.ⓘ Coefficient Bϑ [B_ϑ]			+10% -10%

✖Lateral Deflection Fixed Head is the movement of a building structure horizontally resulting from loads when the pile head is fixed.ⓘ Lateral Deflection for Fixed Head Pile Case [δ]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Pile Foundations Formulas PDF PDF Image

Lateral Deflection for Fixed Head Pile Case Solution

STEP 0: Pre-Calculation Summary

Formula Used

Lateral Deflection Fixed Head = ((Laterally Applied Load*(Characteristic Pile Length)^3)/Stiffness of Pile)*(Coefficient Ay-((Coefficient Aϑ*Coefficient By)/Coefficient Bϑ))
δ = ((P_h*(T)^3)/EI)*(A_y-((A_ϑ*B_y)/B_ϑ))
This formula uses 8 Variables

Variables Used

Lateral Deflection Fixed Head - (Measured in Meter) - Lateral Deflection Fixed Head is the movement of a building structure horizontally resulting from loads when the pile head is fixed.
Laterally Applied Load - (Measured in Newton) - Laterally Applied Load is a load that is applied horizontally or laterally to a structural element or soil mass.
Characteristic Pile Length - (Measured in Meter) - Characteristic Pile Length is the effective length of a pile that provides the necessary load-bearing capacity to support the structure's load.
Stiffness of Pile - (Measured in Newton per Meter) - stiffness of Pile is the ability of a pile to resist deformation under load.
Coefficient Ay - Coefficient Ay is the non-dimensional coefficient of lateral load term.
Coefficient Aϑ - Coefficient Aϑ is the non dimensional constant.
Coefficient By - Coefficient By is the non-dimensional coefficient of moment term.
Coefficient Bϑ - Coefficient Bϑ is the non-dimensional constant.

STEP 1: Convert Input(s) to Base Unit

Laterally Applied Load: 9.32 Newton --> 9.32 Newton No Conversion Required
Characteristic Pile Length: 1.746 Meter --> 1.746 Meter No Conversion Required
Stiffness of Pile: 12 Newton per Meter --> 12 Newton per Meter No Conversion Required
Coefficient Ay: 2.01 --> No Conversion Required
Coefficient Aϑ: 0.6 --> No Conversion Required
Coefficient By: 1.5 --> No Conversion Required
Coefficient Bϑ: 1.501 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

δ = ((P_h*(T)^3)/EI)*(A_y-((A_ϑ*B_y)/B_ϑ)) --> ((9.32*(1.746)^3)/12)*(2.01-((0.6*1.5)/1.501))

Evaluating ... ...

δ = 5.83055104239866

STEP 3: Convert Result to Output's Unit

5.83055104239866 Meter --> No Conversion Required

FINAL ANSWER

5.83055104239866 ≈ 5.830551 Meter <-- Lateral Deflection Fixed Head

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Civil » Geotechnical Engineering » Pile Foundations » Laterally Loaded Vertical Piles » Lateral Deflection for Fixed Head Pile Case

Credits

Created by Mridul Sharma

Indian Institute of Information Technology (IIIT), Bhopal

Mridul Sharma has created this Calculator and 200+ more calculators!

Verified by Alithea Fernandes

Don Bosco College of Engineering (DBCE), Goa

Alithea Fernandes has verified this Calculator and 100+ more calculators!

< Laterally Loaded Vertical Piles Calculators

Lateral Deflection of Pile with Head Free to Move

LaTeX Go Lateral Deflection = ((Coefficient Ay*Laterally Applied Load*(Characteristic Pile Length^3))/Stiffness of Pile)+((Coefficient By*Moment in Soil*(Characteristic Pile Length^2))/Stiffness of Pile)

Pile Stiffness given Characteristic Pile Length for Laterally Loaded Piles

LaTeX Go Stiffness of Pile = ((Characteristic Pile Length)^2)*Coefficient of Horizontal Subgrade

Characteristic Pile Length for Laterally Loaded Vertical Piles

LaTeX Go Characteristic Pile Length = (Stiffness of Pile/Coefficient of Horizontal Subgrade)^0.5

Horizontal Subgrade Reaction Coefficient given Characteristic Pile Length

LaTeX Go Coefficient of Horizontal Subgrade = Stiffness of Pile/(Characteristic Pile Length)^2

Lateral Deflection for Fixed Head Pile Case Formula

LaTeX Go

What is Lateral Deflection?

Lateral deflection is the movement of a building structure horizontally resulting from loads such as wind load, seismic load, cranes, etc. and even small amounts of secondary movement from vertical loads.

How to Calculate Lateral Deflection for Fixed Head Pile Case?

Lateral Deflection for Fixed Head Pile Case calculator uses Lateral Deflection Fixed Head = ((Laterally Applied Load*(Characteristic Pile Length)^3)/Stiffness of Pile)*(Coefficient Ay-((Coefficient Aϑ*Coefficient By)/Coefficient Bϑ)) to calculate 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 calculate Lateral Deflection for Fixed Head Pile Case using this online calculator? To use this online calculator 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. Here is how the Lateral Deflection for Fixed Head Pile Case calculation can be explained with given input values -> 5.830551 = ((9.32*(1.746)^3)/12)*(2.01-((0.6*1.5)/1.501)).

FAQ

What is Lateral Deflection for Fixed Head Pile Case?

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 and is represented as δ = ((P_h*(T)^3)/EI)*(A_y-((A_ϑ*B_y)/B_ϑ)) or Lateral Deflection Fixed Head = ((Laterally Applied Load*(Characteristic Pile Length)^3)/Stiffness of Pile)*(Coefficient Ay-((Coefficient Aϑ*Coefficient By)/Coefficient Bϑ)). Laterally Applied Load is a load that is applied horizontally or laterally to a structural element or soil mass, Characteristic Pile Length is the effective length of a pile that provides the necessary load-bearing capacity to support the structure's load, stiffness of Pile is the ability of a pile to resist deformation under load, Coefficient Ay is the non-dimensional coefficient of lateral load term, Coefficient Aϑ is the non dimensional constant, Coefficient By is the non-dimensional coefficient of moment term & Coefficient Bϑ is the non-dimensional constant.

How to calculate Lateral Deflection for Fixed Head Pile Case?

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 is calculated using Lateral Deflection Fixed Head = ((Laterally Applied Load*(Characteristic Pile Length)^3)/Stiffness of Pile)*(Coefficient Ay-((Coefficient Aϑ*Coefficient By)/Coefficient Bϑ)). To calculate Lateral Deflection for Fixed Head Pile Case, you need 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). With our tool, you need to enter the respective value for Laterally Applied Load, Characteristic Pile Length, Stiffness of Pile, Coefficient Ay, Coefficient Aϑ, Coefficient By & Coefficient Bϑ and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search