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Length of column in terms of max bending moment for strut subjected to uniformly distributed load Solution

STEP 0: Pre-Calculation Summary
Formula Used
length_of_column = sqrt((-(Axial Thrust*Maximum initial deflection)-Maximum Bending Moment)*8/(Load intensity))
l = sqrt((-(P*C)-M)*8/(q))
This formula uses 1 Functions, 4 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Axial Thrust - The Axial Thrust is the resultant force of all the axial forces (F) acting on the object or material. (Measured in Newton)
Maximum initial deflection - Maximum initial deflection is the degree to which a structural element is displaced under a load. (Measured in Meter)
Maximum Bending Moment - The Maximum Bending Moment is the absolute value of the maximum moment in the unbraced beam segment. (Measured in Newton Meter)
Load intensity - Load intensity is defined as load applied per unit area. (Measured in Kilogram-Force per Square Meter)
STEP 1: Convert Input(s) to Base Unit
Axial Thrust: 50 Newton --> 50 Newton No Conversion Required
Maximum initial deflection: 30 Meter --> 30 Meter No Conversion Required
Maximum Bending Moment: 10 Newton Meter --> 10 Newton Meter No Conversion Required
Load intensity: 10 Kilogram-Force per Square Meter --> 98.0664999999931 Pascal (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
l = sqrt((-(P*C)-M)*8/(q)) --> sqrt((-(50*30)-10)*8/(98.0664999999931))
Evaluating ... ...
l = NaN
STEP 3: Convert Result to Output's Unit
NaN Meter --> No Conversion Required
FINAL ANSWER
NaN Meter <-- Length of column
(Calculation completed in 00.027 seconds)

10+ Strut Subjected To Compressive Axial Thrust And A Transverse Uniformly Distributed Load Calculators

Maximum bending moment for strut subjected to compressive axial and uniformly distributed load
maximum_bending_moment = -Load intensity*(Modulus Of Elasticity*Moment of Inertia/Axial Thrust)*((sec((Length of column/2)*(Axial Thrust/(Modulus Of Elasticity*Moment of Inertia))))-1) Go
Load intensity in terms of max bending moment for strut subjected to uniformly distributed load
load_intensity = Maximum Bending Moment/(Modulus Of Elasticity*Moment of Inertia/Axial Thrust)*((sec((Length of column/2)*(Axial Thrust/(Modulus Of Elasticity*Moment of Inertia))))-1) Go
Bending moment at section for strut subjected to compressive axial and uniformly distributed load
bending_moment = -(Axial Thrust*Deflection at section)+(Load intensity*(((Distance of deflection from end A^2)/2)-(Length of column*Distance of deflection from end A/2))) Go
Deflection at section for strut subjected to compressive axial and uniformly distributed load
deflection_at_section = (-Bending moment+(Load intensity*(((Distance of deflection from end A^2)/2)-(Length of column*Distance of deflection from end A/2))))/Axial Thrust Go
Axial thrust for strut subjected to compressive axial and uniformly distributed load
axial_thrust = (-Bending moment+(Load intensity*(((Distance of deflection from end A^2)/2)-(Length of column*Distance of deflection from end A/2))))/Deflection at section Go
Length of column for strut subjected to compressive axial and uniformly distributed load
length_of_column = (((Distance of deflection from end A^2)/2)-((Bending moment+(Axial Thrust*Deflection at section))/Load intensity))*2/Distance of deflection from end A Go
Load intensity for strut subjected to compressive axial and uniformly distributed load
load_intensity = (Bending moment+(Axial Thrust*Deflection at section))/(((Distance of deflection from end A^2)/2)-(Length of column*Distance of deflection from end A/2)) Go
Load intensity in terms of maximum bending moment for strut subjected to uniformly distributed load
load_intensity = (-(Axial Thrust*Maximum initial deflection)-Maximum Bending Moment)*8/((Length of column^2)) Go
Axial thrust in terms of maximum bending moment for strut subjected to uniformly distributed load
axial_thrust = (-Maximum Bending Moment-(Load intensity*(Length of column^2)/8))/(Maximum initial deflection) Go
Maximum bending moment in terms of max deflection for strut subjected to uniformly distributed load
maximum_bending_moment = -(Axial Thrust*Maximum initial deflection)-(Load intensity*(Length of column^2)/8) Go

Length of column in terms of max bending moment for strut subjected to uniformly distributed load Formula

length_of_column = sqrt((-(Axial Thrust*Maximum initial deflection)-Maximum Bending Moment)*8/(Load intensity))
l = sqrt((-(P*C)-M)*8/(q))

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 in terms of max bending moment for strut subjected to uniformly distributed load?

Length of column in terms of max bending moment for strut subjected to uniformly distributed load calculator uses length_of_column = sqrt((-(Axial Thrust*Maximum initial deflection)-Maximum Bending Moment)*8/(Load intensity)) to calculate the Length of column, The Length of column in terms of 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. Length of column and is denoted by l symbol.

How to calculate Length of column in terms of max bending moment for strut subjected to uniformly distributed load using this online calculator? To use this online calculator for Length of column in terms of max bending moment for strut subjected to uniformly distributed load, enter Axial Thrust (P), Maximum initial deflection (C), Maximum Bending Moment (M) and Load intensity (q) and hit the calculate button. Here is how the Length of column in terms of max bending moment for strut subjected to uniformly distributed load calculation can be explained with given input values -> NaN = sqrt((-(50*0.03)-10)*8/(98.0664999999931)).

FAQ

What is Length of column in terms of max bending moment for strut subjected to uniformly distributed load?
The Length of column in terms of 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 = sqrt((-(P*C)-M)*8/(q)) or length_of_column = sqrt((-(Axial Thrust*Maximum initial deflection)-Maximum Bending Moment)*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, The Maximum Bending Moment is the absolute value of the maximum moment in the unbraced beam segment and Load intensity is defined as load applied per unit area.
How to calculate Length of column in terms of max bending moment for strut subjected to uniformly distributed load?
The Length of column in terms of 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 length_of_column = sqrt((-(Axial Thrust*Maximum initial deflection)-Maximum Bending Moment)*8/(Load intensity)). To calculate Length of column in terms of max bending moment for strut subjected to uniformly distributed load, you need Axial Thrust (P), Maximum initial deflection (C), Maximum Bending Moment (M) and Load intensity (q). With our tool, you need to enter the respective value for Axial Thrust, Maximum initial deflection, Maximum Bending Moment and 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 Length of column?
In this formula, Length of column uses Axial Thrust, Maximum initial deflection, Maximum Bending Moment and Load intensity. We can use 10 other way(s) to calculate the same, which is/are as follows -
  • bending_moment = -(Axial Thrust*Deflection at section)+(Load intensity*(((Distance of deflection from end A^2)/2)-(Length of column*Distance of deflection from end A/2)))
  • axial_thrust = (-Bending moment+(Load intensity*(((Distance of deflection from end A^2)/2)-(Length of column*Distance of deflection from end A/2))))/Deflection at section
  • deflection_at_section = (-Bending moment+(Load intensity*(((Distance of deflection from end A^2)/2)-(Length of column*Distance of deflection from end A/2))))/Axial Thrust
  • load_intensity = (Bending moment+(Axial Thrust*Deflection at section))/(((Distance of deflection from end A^2)/2)-(Length of column*Distance of deflection from end A/2))
  • length_of_column = (((Distance of deflection from end A^2)/2)-((Bending moment+(Axial Thrust*Deflection at section))/Load intensity))*2/Distance of deflection from end A
  • maximum_bending_moment = -Load intensity*(Modulus Of Elasticity*Moment of Inertia/Axial Thrust)*((sec((Length of column/2)*(Axial Thrust/(Modulus Of Elasticity*Moment of Inertia))))-1)
  • load_intensity = Maximum Bending Moment/(Modulus Of Elasticity*Moment of Inertia/Axial Thrust)*((sec((Length of column/2)*(Axial Thrust/(Modulus Of Elasticity*Moment of Inertia))))-1)
  • axial_thrust = (-Maximum Bending Moment-(Load intensity*(Length of column^2)/8))/(Maximum initial deflection)
  • load_intensity = (-(Axial Thrust*Maximum initial deflection)-Maximum Bending Moment)*8/((Length of column^2))
  • maximum_bending_moment = -(Axial Thrust*Maximum initial deflection)-(Load intensity*(Length of column^2)/8)
Where is the Length of column in terms of max bending moment for strut subjected to uniformly distributed load calculator used?
Among many, Length of column in terms of max bending moment for strut subjected to uniformly distributed load calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
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