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 = ((Ph*(T)^3)/EI)*(Ay-((Aϑ*By)/Bϑ))
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 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 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: 2.39 Meter --> 2.39 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 = ((Ph*(T)^3)/EI)*(Ay-((Aϑ*By)/Bϑ)) --> ((9.32*(2.39)^3)/12)*(2.01-((0.6*1.5)/1.501))
Evaluating ... ...
δ = 14.9544548674889
STEP 3: Convert Result to Output's Unit
14.9544548674889 Meter --> No Conversion Required
FINAL ANSWER
14.9544548674889 14.95445 Meter <-- Lateral Deflection Fixed Head
(Calculation completed in 00.004 seconds)

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
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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 for Fixed Head Pile Case Formula

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

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 is defined as the lateral deflection when the pile head is fixed. 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 (Ph), Characteristic Pile Length (T), Stiffness Of Pile (EI), Coefficient Ay (Ay), Coefficient Aϑ (Aϑ), Coefficient By (By) & Coefficient Bϑ (Bϑ) and hit the calculate button. Here is how the Lateral Deflection for Fixed Head Pile Case calculation can be explained with given input values -> 14.95022 = ((9.32*(2.39)^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 is defined as the lateral deflection when the pile head is fixed and is represented as δ = ((Ph*(T)^3)/EI)*(Ay-((Aϑ*By)/Bϑ)) 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 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 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 is defined as the lateral deflection when the pile head is fixed 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 (Ph), Characteristic Pile Length (T), Stiffness Of Pile (EI), Coefficient Ay (Ay), Coefficient Aϑ (Aϑ), Coefficient By (By) & Coefficient Bϑ (Bϑ). 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.
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