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 length of pile.ⓘ 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 product of the modulus of elasticity and the element's second moment of area.ⓘ 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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Formula

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Negative Moment Imposed on Pile

Formula

`"M"_{"n"} = (("A"_{"ϑ"}*"P"_{"t"}*"T")/"B"_{"ϑ"})-(("ϑ"_{"s"}*"EI")/("B"_{"ϑ"}*"T"))`

Example

`"950.1114N*m"=(("0.60"*"1000N"*"2.39m")/"1.501")-(("1.57rad"*"12.0N/m")/("1.501"*"2.39m"))`

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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 length of pile.
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 product of the modulus of elasticity and the element's second moment of area.

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: 2.39 Meter --> 2.39 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*2.39)/1.501)-((1.57*12)/(1.501*2.39))

Evaluating ... ...

M_n = 950.111362299611

STEP 3: Convert Result to Output's Unit

950.111362299611 Joule -->950.111362299611 Newton Meter (Check conversion here)

FINAL ANSWER

950.111362299611 ≈ 950.1114 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

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

Verified by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has verified this Calculator and 2500+ 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

Negative Moment Imposed on Pile Formula

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 is defined as the total negative moment imposed and Negative Moment is the moment that produces compression on the bottom side of a beam and tension on the top side. 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 -> 950.7448 = ((0.6*1000*2.39)/1.501)-((1.57*12)/(1.501*2.39)).

FAQ

What is Negative Moment Imposed on Pile?

The Negative Moment Imposed on Pile is defined as the total negative moment imposed and Negative Moment is the moment that produces compression on the bottom side of a beam and tension on the top side 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 length of pile, Coefficient Bϑ is the non-dimensional constant, Angle of Rotation is the counterclockwise rotation of pile head & stiffness of Pile is the product of the modulus of elasticity and the element's second moment of area.

How to calculate Negative Moment Imposed on Pile?

The Negative Moment Imposed on Pile is defined as the total negative moment imposed and Negative Moment is the moment that produces compression on the bottom side of a beam and tension on the top side 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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