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Lateral Deflection of Pile with Head Free to Move Formula

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Lateral Deflection is the movement of a building structure horizontally resulting from loads. Check FAQs

y = (\frac{A y \cdot P h \cdot (T^{3})}{EI}) + (\frac{B y \cdot M t \cdot (T^{2})}{EI})

y - Lateral Deflection?A_y - Coefficient Ay?P_h - Laterally Applied Load?T - Characteristic Pile Length?EI - Stiffness of Pile?B_y - Coefficient By?M_t - Moment in Soil?

Lateral Deflection of Pile with Head Free to Move Example

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Here is how the Lateral Deflection of Pile with Head Free to Move equation looks like with Values.

Here is how the Lateral Deflection of Pile with Head Free to Move equation looks like with Units.

Here is how the Lateral Deflection of Pile with Head Free to Move equation looks like.

30.7921 = (\frac{2.01 \cdot 9.32 \cdot ({1.746}^{3})}{12}) + (\frac{1.5 \cdot 59 \cdot ({1.746}^{2})}{12})

30.7921 = (\frac{2.01 \cdot 9.32N \cdot ({1.746m}^{3})}{12N/m}) + (\frac{1.5 \cdot 59N*m \cdot ({1.746m}^{2})}{12N/m})

30.7921 = (\frac{2.01 \cdot 9.32 \cdot ({1.746}^{3})}{12}) + (\frac{1.5 \cdot 59 \cdot ({1.746}^{2})}{12})

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Lateral Deflection of Pile with Head Free to Move Solution

Follow our step by step solution on how to calculate Lateral Deflection of Pile with Head Free to Move?

FIRST Step Consider the formula

y = (\frac{A y \cdot P h \cdot (T^{3})}{EI}) + (\frac{B y \cdot M t \cdot (T^{2})}{EI})

Next Step Substitute values of Variables

∴

y = (\frac{2.01 \cdot 9.32N \cdot ({1.746m}^{3})}{12N/m}) + (\frac{1.5 \cdot 59N*m \cdot ({1.746m}^{2})}{12N/m})

Next Step Convert Units

∴

y = (\frac{2.01 \cdot 9.32N \cdot ({1.746m}^{3})}{12N/m}) + (\frac{1.5 \cdot 59J \cdot ({1.746m}^{2})}{12N/m})

Next Step Prepare to Evaluate

∴

y = (\frac{2.01 \cdot 9.32 \cdot ({1.746}^{3})}{12}) + (\frac{1.5 \cdot 59 \cdot ({1.746}^{2})}{12})

Next Step Evaluate

∴

y = 30.7920864199896

LAST Step Rounding Answer

∴

y = 30.7921

Lateral Deflection of Pile with Head Free to Move Formula Elements

Variables

Lateral Deflection

Lateral Deflection is the movement of a building structure horizontally resulting from loads.

Symbol: y

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Lateral Deflection

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.

Formulas to find Coefficient Ay

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.

Formulas to find Laterally Applied Load

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.

Formulas to find Characteristic Pile Length

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.

Formulas to find Stiffness of Pile

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.

Formulas to find Coefficient By

Moment in Soil

Moment in Soil is the bending moment induced within a soil mass or a structural element embedded in soil.

Symbol: M_t

Measurement: EnergyUnit: N*m

Note: Value can be positive or negative.

Formulas to find Moment in Soil

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

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

Lateral Deflection of Pile with Head Free to Move evaluator 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 evaluate the Lateral Deflection, The Lateral Deflection of Pile with Head Free to Move formula is defined as the horizontal displacement experienced by a pile when the top of the pile is not restrained laterally and is free to move horizontally. In geotechnical engineering, piles are often subjected to lateral forces due to various factors such as wind loads, earth pressure, or seismic forces. Lateral Deflection is denoted by y symbol.

How to evaluate Lateral Deflection of Pile with Head Free to Move using this online evaluator? To use this online evaluator 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.

FAQs on Lateral Deflection of Pile with Head Free to Move

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

The formula of Lateral Deflection of Pile with Head Free to Move is expressed as 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). Here is an example- 30.79209 = ((2.01*9.32*(1.746^3))/12)+((1.5*59*(1.746^2))/12).

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

With 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) we can find Lateral Deflection of Pile with Head Free to Move using the formula - 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).

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Lateral Deflection of Pile with Head Free to Move Formula

Lateral Deflection of Pile with Head Free to Move Example

Lateral Deflection of Pile with Head Free to Move Solution

Lateral Deflection of Pile with Head Free to Move Formula Elements

Other formulas in Laterally Loaded Vertical Piles category

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

FAQs on Lateral Deflection of Pile with Head Free to Move

Variable Name