Length of column for strut subjected to compressive axial and uniformly distributed load Calculator

✖Distance of deflection from end A is the distance x of deflection from end A.ⓘ Distance of deflection from end A [x]			+10% -10%
✖Bending Moment in Column is the reaction induced in a structural element when an external force or moment is applied to the element, causing the element to bend.ⓘ Bending Moment in Column [M_b]			+10% -10%
✖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%
✖Deflection at Section is the lateral displacement at the section of the column.ⓘ Deflection at Section [δ]			+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 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

Formula

`"l"_{"column"} = ((("x"^2)/2)-(("M"_{"b"}+("P"_{"axial"}*"δ"))/"q"_{"f"}))*2/"x"`

Example

`"-719.285714mm"=(((("35mm")^2)/2)-(("48N*m"+("1500N"*"12mm"))/"0.005MPa"))*2/"35mm"`

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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))/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 x of deflection from end A.
Bending Moment in Column - (Measured in Newton Meter) - Bending Moment in Column is the reaction induced in a structural element when an external force or moment is applied to the element, causing the element to bend.
Axial Thrust - (Measured in Newton) - The Axial Thrust is the resultant force of all the axial forces (F) acting on the object or material.
Deflection at Section - (Measured in Meter) - Deflection at Section is the lateral displacement at the section of the column.
Load Intensity - (Measured in Pascal) - Load Intensity is defined as load applied per unit area.

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: 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 00.004 seconds)

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Home » Physics » Strength of Materials » Column And Struts » Strut With lateral load » 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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< 25 Strut Subjected To Compressive Axial Thrust And A Transverse Uniformly Distributed Load Calculators

Maximum deflection for strut subjected to compressive axial and uniformly distributed load

Go Maximum initial deflection = (Load Intensity*(Modulus of Elasticity Column*Moment of Inertia Column/(Axial Thrust^2))*((sec((Column Length/2)*(Axial Thrust/(Modulus of Elasticity Column*Moment of Inertia Column))))-1))-(Load Intensity*(Column Length^2)/(8*Axial Thrust))

Load intensity given max deflection for strut subjected to uniformly distributed load

Go Load Intensity = Maximum initial deflection/((1*(Modulus of Elasticity Column*Moment of Inertia Column/(Axial Thrust^2))*((sec((Column Length/2)*(Axial Thrust/(Modulus of Elasticity Column*Moment of Inertia Column))))-1))-(1*(Column Length^2)/(8*Axial Thrust)))

Maximum bending moment for strut subjected to compressive axial and uniformly distributed load

Go Maximum Bending Moment In Column = -Load Intensity*(Modulus of Elasticity Column*Moment of Inertia Column/Axial Thrust)*((sec((Column Length/2)*(Axial Thrust/(Modulus of Elasticity Column*Moment of Inertia Column))))-1)

Load intensity given max bending moment for strut subjected to uniformly distributed load

Go Load Intensity = Maximum Bending Moment In Column/(Modulus of Elasticity Column*Moment of Inertia Column/Axial Thrust)*((sec((Column Length/2)*(Axial Thrust/(Modulus of Elasticity Column*Moment of Inertia Column))))-1)

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

Length of column for strut subjected to compressive axial and uniformly distributed load

Go 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

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))

Moment of inertia given maximum stress for strut subjected to uniformly distributed load

Go Moment of Inertia Column = (Maximum Bending Moment In Column*Distance from Neutral Axis to Extreme Point/((Maximum bending stress-(Axial Thrust/Column Cross Sectional Area))))

Distance of extreme layer from NA given max stress for strut under uniformly distributed load

Go Distance from Neutral Axis to Extreme Point = (Maximum bending stress-(Axial Thrust/Column Cross Sectional Area))*Moment of Inertia Column/(Maximum Bending Moment In Column)

Maximum bending moment given max stress for strut subjected to uniformly distributed load

Go Maximum Bending Moment In Column = (Maximum bending stress-(Axial Thrust/Column Cross Sectional Area))*Moment of Inertia Column/(Distance from Neutral Axis to Extreme Point)

Cross-sectional area given maximum stress for strut subjected to uniformly distributed load

Go Column Cross Sectional Area = Axial Thrust/(Maximum bending stress-(Maximum Bending Moment In Column*Distance from Neutral Axis to Extreme Point/Moment of Inertia Column))

Maximum stress for strut subjected to compressive axial and uniformly distributed load

Go Maximum bending stress = (Axial Thrust/Column Cross Sectional Area)+(Maximum Bending Moment In Column*Distance from Neutral Axis to Extreme Point/Moment of Inertia Column)

Axial thrust given maximum stress for strut subjected to uniformly distributed load

Go Axial Thrust = (Maximum bending stress-(Maximum Bending Moment In Column*Distance from Neutral Axis to Extreme Point/Moment of Inertia Column))*Column Cross Sectional Area

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

Go Column Length = sqrt(((Axial Thrust*Maximum initial deflection)-Maximum Bending Moment In Column)*8/(Load Intensity))

Maximum bending moment given elastic modulus for strut subjected to uniformly distributed load

Go Maximum Bending Moment In Column = (Maximum bending stress-(Axial Thrust/Column Cross Sectional Area))*Modulus of Elasticity Column

Cross-sectional area given elastic modulus for strut subjected to uniformly distributed load

Go Column Cross Sectional Area = Axial Thrust/(Maximum bending stress-(Maximum Bending Moment In Column/Modulus of Elasticity Column))

Maximum stress given elastic modulus for strut subjected to uniformly distributed load

Go Maximum bending stress = (Axial Thrust/Column Cross Sectional Area)+(Maximum Bending Moment In Column/Modulus of Elasticity Column)

Elastic modulus given maximum stress for strut subjected to uniformly distributed load

Go Modulus of Elasticity Column = Maximum Bending Moment In Column/(Maximum bending stress-(Axial Thrust/Column Cross Sectional Area))

Axial thrust given elastic modulus for strut subjected to uniformly distributed load

Go Axial Thrust = (Maximum bending stress-(Maximum Bending Moment In Column/Modulus of Elasticity Column))*Column Cross Sectional Area

Load intensity given maximum bending moment for strut subjected to uniformly distributed load

Go Load Intensity = (-(Axial Thrust*Maximum initial deflection)-Maximum Bending Moment In Column)*8/((Column Length^2))

Maximum deflection given max bending moment for strut subjected to uniformly distributed load

Go Maximum initial deflection = (-Maximum Bending Moment In Column-(Load Intensity*(Column Length^2)/8))/(Axial Thrust)

Axial thrust given maximum bending moment for strut subjected to uniformly distributed load

Go Axial Thrust = (-Maximum Bending Moment In Column-(Load Intensity*(Column Length^2)/8))/(Maximum initial deflection)

Maximum bending moment given max deflection for strut subjected to uniformly distributed load

Go Maximum Bending Moment In Column = -(Axial Thrust*Maximum initial deflection)-(Load Intensity*(Column Length^2)/8)

Length of column for strut subjected to compressive axial and uniformly distributed load Formula

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 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))/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 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 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 (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 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 = (((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))/Load Intensity))*2/Distance of deflection from end A. Distance of deflection from end A is the distance x of deflection from end A, Bending Moment in Column is the reaction induced in a structural element when an external force or moment is applied to the element, causing the element to bend, The Axial Thrust is the resultant force of all the axial forces (F) acting on the object or material, Deflection at Section is the lateral displacement at the section of the column & Load Intensity is defined as load applied per unit area.

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 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 = (((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. 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 (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 & 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 & 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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