Negative Moment Imposed on Pile Calculator

✖Coefficient Aϑ is the non dimensional constant.ⓘ Coefficient Aϑ [A_ϑ]			+10% -10%
✖Lateral Load is the live load that is applied parallel to the ground.ⓘ Lateral Load [P_t]			+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%
✖Coefficient Bϑ is the non-dimensional constant.ⓘ Coefficient Bϑ [B_ϑ]			+10% -10%
✖Angle of Rotation is the counterclockwise rotation of pile head.ⓘ Angle of Rotation [ϑ_s]			+10% -10%
✖stiffness of Pile is the ability of a pile to resist deformation under load.ⓘ Stiffness of Pile [EI]			+10% -10%

✖Moment Negative tries to turn the body in a clockwise direction.ⓘ Negative Moment Imposed on Pile [M_n]

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Negative Moment Imposed on Pile Solution

STEP 0: Pre-Calculation Summary

Formula Used

Moment Negative = ((Coefficient Aϑ*Lateral Load*Characteristic Pile Length)/Coefficient Bϑ)-((Angle of Rotation*Stiffness of Pile)/(Coefficient Bϑ*Characteristic Pile Length))
M_n = ((A_ϑ*P_t*T)/B_ϑ)-((ϑ_s*EI)/(B_ϑ*T))
This formula uses 7 Variables

Variables Used

Moment Negative - (Measured in Joule) - Moment Negative tries to turn the body in a clockwise direction.
Coefficient Aϑ - Coefficient Aϑ is the non dimensional constant.
Lateral Load - (Measured in Newton) - Lateral Load is the live load that is applied parallel to the ground.
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.
Coefficient Bϑ - Coefficient Bϑ is the non-dimensional constant.
Angle of Rotation - (Measured in Radian) - Angle of Rotation is the counterclockwise rotation of pile head.
Stiffness of Pile - (Measured in Newton per Meter) - stiffness of Pile is the ability of a pile to resist deformation under load.

STEP 1: Convert Input(s) to Base Unit

Coefficient Aϑ: 0.6 --> No Conversion Required
Lateral Load: 1000 Newton --> 1000 Newton No Conversion Required
Characteristic Pile Length: 1.746 Meter --> 1.746 Meter No Conversion Required
Coefficient Bϑ: 1.501 --> No Conversion Required
Angle of Rotation: 1.57 Radian --> 1.57 Radian No Conversion Required
Stiffness of Pile: 12 Newton per Meter --> 12 Newton per Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

M_n = ((A_ϑ*P_t*T)/B_ϑ)-((ϑ_s*EI)/(B_ϑ*T)) --> ((0.6*1000*1.746)/1.501)-((1.57*12)/(1.501*1.746))

Evaluating ... ...

M_n = 690.745917383829

STEP 3: Convert Result to Output's Unit

690.745917383829 Joule -->690.745917383829 Newton Meter (Check conversion here)

FINAL ANSWER

690.745917383829 ≈ 690.7459 Newton Meter <-- Moment Negative

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Geotechnical Engineering » Pile Foundations » Laterally Loaded Vertical Piles » Negative Moment Imposed on Pile

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Created by Mridul Sharma

Indian Institute of Information Technology (IIIT), Bhopal

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National Institute Of Technology (NIT), Hamirpur

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< 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

Negative Moment Imposed on Pile Formula

LaTeX Go

What is Negative Moment?

Negative Moment is the moment that produces compression on the bottom side of a beam and tension on the top side.

How to Calculate Negative Moment Imposed on Pile?

Negative Moment Imposed on Pile calculator uses Moment Negative = ((Coefficient Aϑ*Lateral Load*Characteristic Pile Length)/Coefficient Bϑ)-((Angle of Rotation*Stiffness of Pile)/(Coefficient Bϑ*Characteristic Pile Length)) to calculate the Moment Negative, The Negative Moment Imposed on Pile formula is defined as the moment induced on a pile due to external loading conditions that cause the pile to bend or deflect in the opposite direction of its original orientation. Moment Negative is denoted by M_n symbol.

How to calculate Negative Moment Imposed on Pile using this online calculator? To use this online calculator for Negative Moment Imposed on Pile, enter Coefficient Aϑ (A_ϑ), Lateral Load (P_t), Characteristic Pile Length (T), Coefficient Bϑ (B_ϑ), Angle of Rotation (ϑ_s) & Stiffness of Pile (EI) and hit the calculate button. Here is how the Negative Moment Imposed on Pile calculation can be explained with given input values -> 690.7459 = ((0.6*1000*1.746)/1.501)-((1.57*12)/(1.501*1.746)).

FAQ

What is Negative Moment Imposed on Pile?

The Negative Moment Imposed on Pile formula is defined as the moment induced on a pile due to external loading conditions that cause the pile to bend or deflect in the opposite direction of its original orientation and is represented as M_n = ((A_ϑ*P_t*T)/B_ϑ)-((ϑ_s*EI)/(B_ϑ*T)) or Moment Negative = ((Coefficient Aϑ*Lateral Load*Characteristic Pile Length)/Coefficient Bϑ)-((Angle of Rotation*Stiffness of Pile)/(Coefficient Bϑ*Characteristic Pile Length)). Coefficient Aϑ is the non dimensional constant, Lateral Load is the live load that is applied parallel to the ground, Characteristic Pile Length is the effective length of a pile that provides the necessary load-bearing capacity to support the structure's load, Coefficient Bϑ is the non-dimensional constant, Angle of Rotation is the counterclockwise rotation of pile head & stiffness of Pile is the ability of a pile to resist deformation under load.

How to calculate Negative Moment Imposed on Pile?

The Negative Moment Imposed on Pile formula is defined as the moment induced on a pile due to external loading conditions that cause the pile to bend or deflect in the opposite direction of its original orientation is calculated using Moment Negative = ((Coefficient Aϑ*Lateral Load*Characteristic Pile Length)/Coefficient Bϑ)-((Angle of Rotation*Stiffness of Pile)/(Coefficient Bϑ*Characteristic Pile Length)). To calculate Negative Moment Imposed on Pile, you need Coefficient Aϑ (A_ϑ), Lateral Load (P_t), Characteristic Pile Length (T), Coefficient Bϑ (B_ϑ), Angle of Rotation (ϑ_s) & Stiffness of Pile (EI). With our tool, you need to enter the respective value for Coefficient Aϑ, Lateral Load, Characteristic Pile Length, Coefficient Bϑ, Angle of Rotation & Stiffness of Pile 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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