Bending Moment at Section for Strut subjected to Compressive Axial and Uniformly Distributed Load Calculator

✖Axial Thrust is the force exerted along the axis of a shaft in mechanical systems. It occurs when there is an imbalance of forces that acts in the direction parallel to the axis of rotation.ⓘ Axial Thrust [P_axial]			+10% -10%
✖Deflection at Section of Column is the lateral displacement at the section of the column.ⓘ Deflection at Section of Column [δ]			+10% -10%
✖Load Intensity is the distribution of load over a certain area or length of a structural element.ⓘ Load Intensity [q_f]			+10% -10%
✖Distance of Deflection from End A is the distance at which the deflection occurs in a beam or column, measured from one end of the beam, designated as End A.ⓘ Distance of Deflection from End A [x]			+10% -10%
✖Column Length is the distance between two points where a column gets its fixity of support so its movement is restrained in all directions.ⓘ Column Length [l_column]			+10% -10%

✖Bending Moment in Column is the reaction induced in a column when an external force or moment is applied to the column, causing it to bend.ⓘ Bending Moment at Section for Strut subjected to Compressive Axial and Uniformly Distributed Load [M_b]

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Bending Moment at Section for Strut subjected to Compressive Axial and Uniformly Distributed Load Solution

STEP 0: Pre-Calculation Summary

Formula Used

Bending Moment in Column = -(Axial Thrust*Deflection at Section of Column)+(Load Intensity*(((Distance of Deflection from End A^2)/2)-(Column Length*Distance of Deflection from End A/2)))
M_b = -(P_axial*δ)+(q_f*(((x^2)/2)-(l_column*x/2)))
This formula uses 6 Variables

Variables Used

Bending Moment in Column - (Measured in Newton Meter) - Bending Moment in Column is the reaction induced in a column when an external force or moment is applied to the column, causing it to bend.
Axial Thrust - (Measured in Newton) - Axial Thrust is the force exerted along the axis of a shaft in mechanical systems. It occurs when there is an imbalance of forces that acts in the direction parallel to the axis of rotation.
Deflection at Section of Column - (Measured in Meter) - Deflection at Section of Column is the lateral displacement at the section of the column.
Load Intensity - (Measured in Pascal) - Load Intensity is the distribution of load over a certain area or length of a structural element.
Distance of Deflection from End A - (Measured in Meter) - Distance of Deflection from End A is the distance at which the deflection occurs in a beam or column, measured from one end of the beam, designated as End A.
Column Length - (Measured in Meter) - Column Length is the distance between two points where a column gets its fixity of support so its movement is restrained in all directions.

STEP 1: Convert Input(s) to Base Unit

Axial Thrust: 1500 Newton --> 1500 Newton No Conversion Required
Deflection at Section of Column: 12 Millimeter --> 0.012 Meter (Check conversion here)
Load Intensity: 0.005 Megapascal --> 5000 Pascal (Check conversion here)
Distance of Deflection from End A: 35 Millimeter --> 0.035 Meter (Check conversion here)
Column Length: 5000 Millimeter --> 5 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

M_b = -(P_axial*δ)+(q_f*(((x^2)/2)-(l_column*x/2))) --> -(1500*0.012)+(5000*(((0.035^2)/2)-(5*0.035/2)))

Evaluating ... ...

M_b = -452.4375

STEP 3: Convert Result to Output's Unit

-452.4375 Newton Meter --> No Conversion Required

FINAL ANSWER

-452.4375 Newton Meter <-- Bending Moment in Column

(Calculation completed in 00.004 seconds)

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< Strut Subjected to Compressive Axial Thrust and a Transverse Uniformly Distributed Load Calculators

Bending Moment at Section for Strut subjected to Compressive Axial and Uniformly Distributed Load

LaTeX Go Bending Moment in Column = -(Axial Thrust*Deflection at Section of Column)+(Load Intensity*(((Distance of Deflection from End A^2)/2)-(Column Length*Distance of Deflection from End A/2)))

Deflection at Section for Strut Subjected to Compressive Axial and Uniformly Distributed Load

LaTeX Go Deflection at Section of Column = (-Bending Moment in Column+(Load Intensity*(((Distance of Deflection from End A^2)/2)-(Column Length*Distance of Deflection from End A/2))))/Axial Thrust

Axial Thrust for Strut Subjected to Compressive Axial and Uniformly Distributed Load

LaTeX Go Axial Thrust = (-Bending Moment in Column+(Load Intensity*(((Distance of Deflection from End A^2)/2)-(Column Length*Distance of Deflection from End A/2))))/Deflection at Section of Column

Load Intensity for Strut Subjected to Compressive Axial and Uniformly Distributed Load

LaTeX Go Load Intensity = (Bending Moment in Column+(Axial Thrust*Deflection at Section of Column))/(((Distance of Deflection from End A^2)/2)-(Column Length*Distance of Deflection from End A/2))

Bending Moment at Section for Strut subjected to Compressive Axial and Uniformly Distributed Load Formula

LaTeX Go

What is Bending Moment?

A Bending Moment is a measure of the bending effect due to forces acting on a structural element, such as a beam, that causes it to bend. It is defined as the product of a force and the perpendicular distance from the point of interest to the line of action of the force. The bending moment reflects how much a beam or other structural member is likely to bend or rotate due to external forces applied to it.

How to Calculate Bending Moment at Section for Strut subjected to Compressive Axial and Uniformly Distributed Load?

Bending Moment at Section for Strut subjected to Compressive Axial and Uniformly Distributed Load calculator uses Bending Moment in Column = -(Axial Thrust*Deflection at Section of Column)+(Load Intensity*(((Distance of Deflection from End A^2)/2)-(Column Length*Distance of Deflection from End A/2))) to calculate the Bending Moment in Column, The Bending Moment at Section for Strut subjected to Compressive Axial and Uniformly Distributed Load formula is defined as the maximum turning force that occurs at a specific point on a strut when it is subjected to both compressive axial thrust and a transverse uniformly distributed load, causing the strut to bend. Bending Moment in Column is denoted by M_b symbol.

How to calculate Bending Moment at Section for Strut subjected to Compressive Axial and Uniformly Distributed Load using this online calculator? To use this online calculator for Bending Moment at Section for Strut subjected to Compressive Axial and Uniformly Distributed Load, enter Axial Thrust (P_axial), Deflection at Section of Column (δ), Load Intensity (q_f), Distance of Deflection from End A (x) & Column Length (l_column) and hit the calculate button. Here is how the Bending Moment at Section for Strut subjected to Compressive Axial and Uniformly Distributed Load calculation can be explained with given input values -> -452.4375 = -(1500*0.012)+(5000*(((0.035^2)/2)-(5*0.035/2))).

FAQ

What is Bending Moment at Section for Strut subjected to Compressive Axial and Uniformly Distributed Load?

The Bending Moment at Section for Strut subjected to Compressive Axial and Uniformly Distributed Load formula is defined as the maximum turning force that occurs at a specific point on a strut when it is subjected to both compressive axial thrust and a transverse uniformly distributed load, causing the strut to bend and is represented as M_b = -(P_axial*δ)+(q_f*(((x^2)/2)-(l_column*x/2))) or Bending Moment in Column = -(Axial Thrust*Deflection at Section of Column)+(Load Intensity*(((Distance of Deflection from End A^2)/2)-(Column Length*Distance of Deflection from End A/2))). Axial Thrust is the force exerted along the axis of a shaft in mechanical systems. It occurs when there is an imbalance of forces that acts in the direction parallel to the axis of rotation, Deflection at Section of Column is the lateral displacement at the section of the column, Load Intensity is the distribution of load over a certain area or length of a structural element, Distance of Deflection from End A is the distance at which the deflection occurs in a beam or column, measured from one end of the beam, designated as End A & Column Length is the distance between two points where a column gets its fixity of support so its movement is restrained in all directions.

How to calculate Bending Moment at Section for Strut subjected to Compressive Axial and Uniformly Distributed Load?

The Bending Moment at Section for Strut subjected to Compressive Axial and Uniformly Distributed Load formula is defined as the maximum turning force that occurs at a specific point on a strut when it is subjected to both compressive axial thrust and a transverse uniformly distributed load, causing the strut to bend is calculated using Bending Moment in Column = -(Axial Thrust*Deflection at Section of Column)+(Load Intensity*(((Distance of Deflection from End A^2)/2)-(Column Length*Distance of Deflection from End A/2))). To calculate Bending Moment at Section for Strut subjected to Compressive Axial and Uniformly Distributed Load, you need Axial Thrust (P_axial), Deflection at Section of Column (δ), Load Intensity (q_f), Distance of Deflection from End A (x) & Column Length (l_column). With our tool, you need to enter the respective value for Axial Thrust, Deflection at Section of Column, Load Intensity, Distance of Deflection from End A & Column Length 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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