Lateral Deflection of Pile with Head Free to Move Calculator

✖Coefficient Ay is the non-dimensional coefficient of lateral load term.ⓘ Coefficient Ay [A_y]			+10% -10%
✖Laterally Applied Load is the live load that is applied parallel to the ground.ⓘ Laterally Applied Load [P_h]			+10% -10%
✖Characteristic Pile Length is the length of pile.ⓘ Characteristic Pile Length [T]			+10% -10%
✖stiffness of Pile is the product of the modulus of elasticity and the element's second moment of area.ⓘ Stiffness Of Pile [EI]			+10% -10%
✖Coefficient By is the non-dimensional coefficient of moment term.ⓘ Coefficient By [B_y]			+10% -10%
✖Moment in Soil is an overturning effect (tends to bend or turn the member) created by the force(load) acting on a structural member.ⓘ Moment in Soil [M_t]			+10% -10%

✖Lateral Deflection is the movement of a building structure horizontally resulting from loads.ⓘ Lateral Deflection of Pile with Head Free to Move [y]

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Formula

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Lateral Deflection of Pile with Head Free to Move

Formula

`"y" = (("A"_{"y"}*"P"_{"h"}*("T"^3))/"EI")+(("B"_{"y"}*"M"_{"t"}*("T"^2))/"EI")`

Example

`"63.43875"=(("2.01"*"9.32N"*(("2.39m")^3))/"12.0N/m")+(("1.50"*"59N*m"*(("2.39m")^2))/"12.0N/m")`

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Lateral Deflection of Pile with Head Free to Move Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
y = ((A_y*P_h*(T^3))/EI)+((B_y*M_t*(T^2))/EI)
This formula uses 7 Variables

Variables Used

Lateral Deflection - Lateral Deflection is the movement of a building structure horizontally resulting from loads.
Coefficient Ay - Coefficient Ay is the non-dimensional coefficient of lateral load term.
Laterally Applied Load - (Measured in Newton) - Laterally Applied Load is the live load that is applied parallel to the ground.
Characteristic Pile Length - (Measured in Meter) - Characteristic Pile Length is the length of pile.
Stiffness Of Pile - (Measured in Newton per Meter) - stiffness of Pile is the product of the modulus of elasticity and the element's second moment of area.
Coefficient By - Coefficient By is the non-dimensional coefficient of moment term.
Moment in Soil - (Measured in Joule) - Moment in Soil is an overturning effect (tends to bend or turn the member) created by the force(load) acting on a structural member.

STEP 1: Convert Input(s) to Base Unit

Coefficient Ay: 2.01 --> No Conversion Required
Laterally Applied Load: 9.32 Newton --> 9.32 Newton No Conversion Required
Characteristic Pile Length: 2.39 Meter --> 2.39 Meter No Conversion Required
Stiffness Of Pile: 12 Newton per Meter --> 12 Newton per Meter No Conversion Required
Coefficient By: 1.5 --> No Conversion Required
Moment in Soil: 59 Newton Meter --> 59 Joule (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

y = ((A_y*P_h*(T^3))/EI)+((B_y*M_t*(T^2))/EI) --> ((2.01*9.32*(2.39^3))/12)+((1.5*59*(2.39^2))/12)

Evaluating ... ...

y = 63.4387482509

STEP 3: Convert Result to Output's Unit

63.4387482509 --> No Conversion Required

FINAL ANSWER

63.4387482509 ≈ 63.43875 <-- Lateral Deflection

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Geotechnical Engineering » Pile Foundations » Laterally Loaded Vertical Piles » Lateral Deflection of Pile with Head Free to Move

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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!

< 7 Laterally Loaded Vertical Piles Calculators

Lateral Deflection of Pile with Head Free to Move

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)

Negative Moment Imposed on Pile

Go Moment Negative = ((Coefficient Aϑ*Lateral Load*Characteristic Pile Length)/Coefficient Bϑ)-((Angle of Rotation*Stiffness Of Pile)/(Coefficient Bϑ*Characteristic Pile Length))

Lateral Deflection for Fixed Head Pile Case

Go Lateral Deflection Fixed Head = ((Laterally Applied Load*(Characteristic Pile Length)^3)/Stiffness Of Pile)*(Coefficient Ay-((Coefficient Aϑ*Coefficient By)/Coefficient Bϑ))

Positive Moment Imposed on Pile

Go Moment Positive = (Coefficient of Lateral Load in Positive Moment*Laterally Applied Load*Characteristic Pile Length)+(Coefficient of Moment term in Positive Moment*Moment in Soil)

Pile Stiffness given Characteristic Pile Length for Laterally Loaded Piles

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

Characteristic Pile Length for Laterally Loaded Vertical Piles

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

Horizontal Subgrade Reaction Coefficient given Characteristic Pile Length

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

Lateral Deflection of Pile with Head Free to Move Formula

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 of Pile with Head Free to Move?

Lateral Deflection of Pile with Head Free to Move calculator uses 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) to calculate the Lateral Deflection, The Lateral Deflection of Pile with Head Free to Move is defined as the lateral load and the moment applied at the ground line calculates the lateral deflection. Lateral Deflection is denoted by y symbol.

How to calculate Lateral Deflection of Pile with Head Free to Move using this online calculator? To use this online calculator for Lateral Deflection of Pile with Head Free to Move, enter Coefficient Ay (A_y), Laterally Applied Load (P_h), Characteristic Pile Length (T), Stiffness Of Pile (EI), Coefficient By (B_y) & Moment in Soil (M_t) and hit the calculate button. Here is how the Lateral Deflection of Pile with Head Free to Move calculation can be explained with given input values -> 63.43875 = ((2.01*9.32*(2.39^3))/12)+((1.5*59*(2.39^2))/12).

FAQ

What is Lateral Deflection of Pile with Head Free to Move?

The Lateral Deflection of Pile with Head Free to Move is defined as the lateral load and the moment applied at the ground line calculates the lateral deflection and is represented as y = ((A_y*P_h*(T^3))/EI)+((B_y*M_t*(T^2))/EI) or 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). Coefficient Ay is the non-dimensional coefficient of lateral load term, Laterally Applied Load is the live load that is applied parallel to the ground, Characteristic Pile Length is the length of pile, stiffness of Pile is the product of the modulus of elasticity and the element's second moment of area, Coefficient By is the non-dimensional coefficient of moment term & Moment in Soil is an overturning effect (tends to bend or turn the member) created by the force(load) acting on a structural member.

How to calculate Lateral Deflection of Pile with Head Free to Move?

The Lateral Deflection of Pile with Head Free to Move is defined as the lateral load and the moment applied at the ground line calculates the lateral deflection is calculated using 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). To calculate Lateral Deflection of Pile with Head Free to Move, you need Coefficient Ay (A_y), Laterally Applied Load (P_h), Characteristic Pile Length (T), Stiffness Of Pile (EI), Coefficient By (B_y) & Moment in Soil (M_t). With our tool, you need to enter the respective value for Coefficient Ay, Laterally Applied Load, Characteristic Pile Length, Stiffness Of Pile, Coefficient By & Moment in Soil and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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