Length of column given max bending moment for strut subjected to uniformly distributed load Calculator

✖The Axial Thrust is the resultant force of all the axial forces (F) acting on the object or material.ⓘ Axial Thrust [P_axial]			+10% -10%
✖Maximum initial deflection is the degree to which a structural element is displaced under a load.ⓘ Maximum initial deflection [C]			+10% -10%
✖Maximum Bending Moment In Column is the absolute value of the maximum moment in the unbraced beam segment.ⓘ Maximum Bending Moment In Column [M]			+10% -10%
✖Load Intensity is defined as load applied per unit area.ⓘ 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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Formula

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Length of column given max bending moment for strut subjected to uniformly distributed load

Formula

l column = \sqrt{((P axial \cdot C) - M) \cdot \frac{8}{q f}}

Example

215.4066 mm = \sqrt{((1500 N \cdot 30 mm) - 16 N*m) \cdot \frac{8}{0.005 MPa}}

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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) - The Axial Thrust is the resultant force of all the axial forces (F) acting on the object or material.
Maximum initial deflection - (Measured in Meter) - Maximum initial deflection is the degree to which a structural element is displaced under a load.
Maximum Bending Moment In Column - (Measured in Newton Meter) - Maximum Bending Moment In Column is the absolute value of the maximum moment in the unbraced beam segment.
Load Intensity - (Measured in Pascal) - Load Intensity is defined as load applied per unit area.

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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< 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

Go Bending Moment in Column = -(Axial Thrust*Deflection at Section)+(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

Go Deflection at Section = (-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

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

Load intensity for strut subjected to compressive axial and uniformly distributed load

Go Load Intensity = (Bending Moment in Column+(Axial Thrust*Deflection at Section))/(((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

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 vertical distance between two floors or between two tie levels. According to a structural point of view length of the column is the distance between two points where a column gets its fixity of support so its movement is restrained in all directions. 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 vertical distance between two floors or between two tie levels. According to a structural point of view length of the column is the distance between two points where a column gets its fixity of support so its movement is restrained in all directions 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)). The Axial Thrust is the resultant force of all the axial forces (F) acting on the object or material, Maximum initial deflection is the degree to which a structural element is displaced under a load, Maximum Bending Moment In Column is the absolute value of the maximum moment in the unbraced beam segment & Load Intensity is defined as load applied per unit area.

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 vertical distance between two floors or between two tie levels. According to a structural point of view length of the column is the distance between two points where a column gets its fixity of support so its movement is restrained in all directions 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))/Load Intensity))*2/Distance of deflection from end A

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