Length of Column given Max Bending Moment for Strut Subjected to 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%
✖Maximum Initial Deflection is the greatest amount of displacement or bending that occurs in a mechanical structure or component when a load is first applied.ⓘ Maximum Initial Deflection [C]			+10% -10%
✖Maximum Bending Moment In Column is the highest amount of bending force that a column experiences due to applied loads, either axial or eccentric.ⓘ Maximum Bending Moment In Column [M]			+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 given Max Bending Moment for Strut Subjected to Uniformly Distributed Load [l_column]

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Length of Column given Max Bending Moment for Strut Subjected to Uniformly Distributed Load Solution

STEP 0: Pre-Calculation Summary

Formula Used

Column Length = sqrt(((Axial Thrust*Maximum Initial Deflection)-Maximum Bending Moment In Column)*8/(Load Intensity))
l_column = sqrt(((P_axial*C)-M)*8/(q_f))
This formula uses 1 Functions, 5 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

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.
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.
Maximum Initial Deflection - (Measured in Meter) - Maximum Initial Deflection is the greatest amount of displacement or bending that occurs in a mechanical structure or component when a load is first applied.
Maximum Bending Moment In Column - (Measured in Newton Meter) - Maximum Bending Moment In Column is the highest amount of bending force that a column experiences due to applied loads, either axial or eccentric.
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

Axial Thrust: 1500 Newton --> 1500 Newton No Conversion Required
Maximum Initial Deflection: 30 Millimeter --> 0.03 Meter (Check conversion here)
Maximum Bending Moment In Column: 16 Newton Meter --> 16 Newton Meter No Conversion Required
Load Intensity: 0.005 Megapascal --> 5000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_column = sqrt(((P_axial*C)-M)*8/(q_f)) --> sqrt(((1500*0.03)-16)*8/(5000))

Evaluating ... ...

l_column = 0.21540659228538

STEP 3: Convert Result to Output's Unit

0.21540659228538 Meter -->215.40659228538 Millimeter (Check conversion here)

FINAL ANSWER

215.40659228538 ≈ 215.4066 Millimeter <-- Column Length

(Calculation completed in 00.004 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 given Max Bending Moment for Strut Subjected to Uniformly Distributed Load

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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 given Max Bending Moment for Strut Subjected to Uniformly Distributed Load Formula

LaTeX Go

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

What is axial thrust?

Axial thrust refers to a propelling force applied along the axis (also called axial direction) of an object in order to push the object against a platform in a particular direction.

How to Calculate Length of Column given Max Bending Moment for Strut Subjected to Uniformly Distributed Load?

Length of Column given Max Bending Moment for Strut Subjected to Uniformly Distributed Load calculator uses Column Length = sqrt(((Axial Thrust*Maximum Initial Deflection)-Maximum Bending Moment In Column)*8/(Load Intensity)) to calculate the Column Length, The Length of Column given Max Bending Moment for Strut Subjected to Uniformly Distributed Load formula is defined as the maximum length of a column that can withstand a given axial compressive thrust and a transverse uniformly distributed load without buckling or failing. Column Length is denoted by l_column symbol.

How to calculate Length of Column given Max Bending Moment for Strut Subjected to Uniformly Distributed Load using this online calculator? To use this online calculator for Length of Column given Max Bending Moment for Strut Subjected to Uniformly Distributed Load, enter Axial Thrust (P_axial), Maximum Initial Deflection (C), Maximum Bending Moment In Column (M) & Load Intensity (q_f) and hit the calculate button. Here is how the Length of Column given Max Bending Moment for Strut Subjected to Uniformly Distributed Load calculation can be explained with given input values -> 215406.6 = sqrt(((1500*0.03)-16)*8/(5000)).

FAQ

What is Length of Column given Max Bending Moment for Strut Subjected to Uniformly Distributed Load?

The Length of Column given Max Bending Moment for Strut Subjected to Uniformly Distributed Load formula is defined as the maximum length of a column that can withstand a given axial compressive thrust and a transverse uniformly distributed load without buckling or failing and is represented as l_column = sqrt(((P_axial*C)-M)*8/(q_f)) or Column Length = sqrt(((Axial Thrust*Maximum Initial Deflection)-Maximum Bending Moment In Column)*8/(Load Intensity)). 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, Maximum Initial Deflection is the greatest amount of displacement or bending that occurs in a mechanical structure or component when a load is first applied, Maximum Bending Moment In Column is the highest amount of bending force that a column experiences due to applied loads, either axial or eccentric & Load Intensity is the distribution of load over a certain area or length of a structural element.

How to calculate Length of Column given Max Bending Moment for Strut Subjected to Uniformly Distributed Load?

The Length of Column given Max Bending Moment for Strut Subjected to Uniformly Distributed Load formula is defined as the maximum length of a column that can withstand a given axial compressive thrust and a transverse uniformly distributed load without buckling or failing is calculated using Column Length = sqrt(((Axial Thrust*Maximum Initial Deflection)-Maximum Bending Moment In Column)*8/(Load Intensity)). To calculate Length of Column given Max Bending Moment for Strut Subjected to Uniformly Distributed Load, you need Axial Thrust (P_axial), Maximum Initial Deflection (C), Maximum Bending Moment In Column (M) & Load Intensity (q_f). With our tool, you need to enter the respective value for Axial Thrust, Maximum Initial Deflection, Maximum Bending Moment In 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 Axial Thrust, Maximum Initial Deflection, Maximum Bending Moment In Column & Load Intensity. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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