Length of Column for Strut subjected to Compressive Axial and Uniformly Distributed Load Calculator

✖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%
✖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 in Column [M_b]			+10% -10%
✖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%

✖Column Length is the distance between two points where a column gets its fixity of support so its movement is restrained in all directions.ⓘ Length of Column for Strut subjected to Compressive Axial and Uniformly Distributed Load [l_column]

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Length of Column for Strut subjected to Compressive Axial and Uniformly Distributed Load Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Distance of Deflection from End A: 35 Millimeter --> 0.035 Meter (Check conversion here)
Bending Moment in Column: 48 Newton Meter --> 48 Newton Meter No Conversion Required
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)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_column = (((x^2)/2)-((M_b+(P_axial*δ))/q_f))*2/x --> (((0.035^2)/2)-((48+(1500*0.012))/5000))*2/0.035

Evaluating ... ...

l_column = -0.719285714285714

STEP 3: Convert Result to Output's Unit

-0.719285714285714 Meter -->-719.285714285714 Millimeter (Check conversion here)

FINAL ANSWER

-719.285714285714 ≈ -719.285714 Millimeter <-- Column Length

(Calculation completed in 00.020 seconds)

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Home » Physics » Strength of Materials » Column And Struts » Strut With Lateral Load » Mechanical » Strut Subjected to Compressive Axial Thrust and a Transverse Uniformly Distributed Load » Length of Column for Strut subjected to Compressive Axial and Uniformly Distributed Load

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Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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Birsa Institute of Technology (BIT), Sindri

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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))

Length of Column for Strut subjected to Compressive Axial and Uniformly Distributed Load Formula

LaTeX Go

What is Compressive Axial Load?

A Compressive Axial Load is a force applied along the axis of a structural element, such as a column, beam, or strut, which tends to shorten or compress the member. It is a type of load that acts uniformly in the same direction as the longitudinal axis of the element, resulting in compressive stresses throughout the material. This load causes the member to reduce in length, and if the load is high enough, it can lead to failure by crushing, buckling, or other modes of compressive failure.

How to Calculate Length of Column for Strut subjected to Compressive Axial and Uniformly Distributed Load?

Length of Column for Strut subjected to Compressive Axial and Uniformly Distributed Load calculator uses Column Length = (((Distance of Deflection from End A^2)/2)-((Bending Moment in Column+(Axial Thrust*Deflection at Section of Column))/Load Intensity))*2/Distance of Deflection from End A to calculate the Column Length, The Length of Column for Strut subjected to Compressive Axial and Uniformly Distributed Load formula is defined as the maximum length of a strut that can withstand the compressive axial thrust and a transverse uniformly distributed load without buckling or failing, providing a safe and stable structural design. Column Length is denoted by l_column symbol.

How to calculate Length of Column for Strut subjected to Compressive Axial and Uniformly Distributed Load using this online calculator? To use this online calculator for Length of Column for Strut subjected to Compressive Axial and Uniformly Distributed Load, enter Distance of Deflection from End A (x), Bending Moment in Column (M_b), Axial Thrust (P_axial), Deflection at Section of Column (δ) & Load Intensity (q_f) and hit the calculate button. Here is how the Length of Column for Strut subjected to Compressive Axial and Uniformly Distributed Load calculation can be explained with given input values -> -719285.714286 = (((0.035^2)/2)-((48+(1500*0.012))/5000))*2/0.035.

FAQ

What is Length of Column for Strut subjected to Compressive Axial and Uniformly Distributed Load?

The Length of Column for Strut subjected to Compressive Axial and Uniformly Distributed Load formula is defined as the maximum length of a strut that can withstand the compressive axial thrust and a transverse uniformly distributed load without buckling or failing, providing a safe and stable structural design and is represented as l_column = (((x^2)/2)-((M_b+(P_axial*δ))/q_f))*2/x or Column Length = (((Distance of Deflection from End A^2)/2)-((Bending Moment in Column+(Axial Thrust*Deflection at Section of Column))/Load Intensity))*2/Distance of Deflection from End A. 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, 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 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.

How to calculate Length of Column for Strut subjected to Compressive Axial and Uniformly Distributed Load?

The Length of Column for Strut subjected to Compressive Axial and Uniformly Distributed Load formula is defined as the maximum length of a strut that can withstand the compressive axial thrust and a transverse uniformly distributed load without buckling or failing, providing a safe and stable structural design is calculated using Column Length = (((Distance of Deflection from End A^2)/2)-((Bending Moment in Column+(Axial Thrust*Deflection at Section of Column))/Load Intensity))*2/Distance of Deflection from End A. To calculate Length of Column for Strut subjected to Compressive Axial and Uniformly Distributed Load, you need Distance of Deflection from End A (x), Bending Moment in Column (M_b), Axial Thrust (P_axial), Deflection at Section of Column (δ) & Load Intensity (q_f). With our tool, you need to enter the respective value for Distance of Deflection from End A, Bending Moment in Column, Axial Thrust, Deflection at Section of Column & Load Intensity and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Column Length?

In this formula, Column Length uses Distance of Deflection from End A, Bending Moment in Column, Axial Thrust, Deflection at Section of Column & Load Intensity. We can use 1 other way(s) to calculate the same, which is/are as follows -

Column Length = sqrt(((Axial Thrust*Maximum Initial Deflection)-Maximum Bending Moment In Column)*8/(Load Intensity))

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