Length of Column given Moment at Section if One End of Column is Fixed and Other is Hinged Calculator

✖The Moment of Section is an overturning effect (tends to bend or turn the member) created by the force(load) acting on a structural member.ⓘ Moment of Section [M_t]			+10% -10%
✖Column Crippling Load is the load over which a column prefers to deform laterally rather than compressing itself.ⓘ Column Crippling Load [P]			+10% -10%
✖Deflection at Section is the lateral displacement at the section of the column.ⓘ Deflection at Section [δ]			+10% -10%
✖Horizontal Reaction is used to balance the bending moment due to vertical reactions and dead load, live load, etc.ⓘ Horizontal Reaction [H]			+10% -10%
✖Distance b/w Fixed End and Deflection Point is the distance x between the point of deflection at section and fixed point.ⓘ Distance b/w Fixed End and Deflection Point [x]			+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 Moment at Section if One End of Column is Fixed and Other is Hinged [l]

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Length of Column given Moment at Section if One End of Column is Fixed and Other is Hinged Solution

STEP 0: Pre-Calculation Summary

Formula Used

Column Length = (Moment of Section+Column Crippling Load*Deflection at Section)/Horizontal Reaction+Distance b/w Fixed End and Deflection Point
l = (M_t+P*δ)/H+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.
Moment of Section - (Measured in Newton Meter) - The Moment of Section is an overturning effect (tends to bend or turn the member) created by the force(load) acting on a structural member.
Column Crippling Load - (Measured in Newton) - Column Crippling Load is the load over which a column prefers to deform laterally rather than compressing itself.
Deflection at Section - (Measured in Meter) - Deflection at Section is the lateral displacement at the section of the column.
Horizontal Reaction - (Measured in Newton) - Horizontal Reaction is used to balance the bending moment due to vertical reactions and dead load, live load, etc.
Distance b/w Fixed End and Deflection Point - (Measured in Meter) - Distance b/w Fixed End and Deflection Point is the distance x between the point of deflection at section and fixed point.

STEP 1: Convert Input(s) to Base Unit

Moment of Section: 50 Newton Millimeter --> 0.05 Newton Meter (Check conversion here)
Column Crippling Load: 3 Kilonewton --> 3000 Newton (Check conversion here)
Deflection at Section: 12 Millimeter --> 0.012 Meter (Check conversion here)
Horizontal Reaction: 2 Kilonewton --> 2000 Newton (Check conversion here)
Distance b/w Fixed End and Deflection Point: 3000 Millimeter --> 3 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l = (M_t+P*δ)/H+x --> (0.05+3000*0.012)/2000+3

Evaluating ... ...

l = 3.018025

STEP 3: Convert Result to Output's Unit

3.018025 Meter -->3018.025 Millimeter (Check conversion here)

FINAL ANSWER

3018.025 Millimeter <-- Column Length

(Calculation completed in 00.020 seconds)

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Home » Physics » Strength of Materials » Column And Struts » Expressions For Crippling Load » Mechanical » One End of Column is Fixed and Other is Hinged » Length of Column given Moment at Section if One End of Column is Fixed and Other is Hinged

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< One End of Column is Fixed and Other is Hinged Calculators

Deflection at Section given Moment at Section if One End of Column is Fixed and Other is Hinged

LaTeX Go Deflection at Section = (-Moment of Section+Horizontal Reaction*(Column Length-Distance b/w Fixed End and Deflection Point))/Column Crippling Load

Crippling Load given Moment at Section if One End of Column is Fixed and Other is Hinged

LaTeX Go Column Crippling Load = (-Moment of Section+Horizontal Reaction*(Column Length-Distance b/w Fixed End and Deflection Point))/Deflection at Section

Horizontal Reaction given Moment at Section if One End of Column is Fixed and Other is Hinged

LaTeX Go Horizontal Reaction = (Moment of Section+Column Crippling Load*Deflection at Section)/(Column Length-Distance b/w Fixed End and Deflection Point)

Moment at Section if One End of Column is Fixed and Other is Hinged

LaTeX Go Moment of Section = -Column Crippling Load*Deflection at Section+Horizontal Reaction*(Column Length-Distance b/w Fixed End and Deflection Point)

Length of Column given Moment at Section if One End of Column is Fixed and Other is Hinged Formula

LaTeX Go

Column Length = (Moment of Section+Column Crippling Load*Deflection at Section)/Horizontal Reaction+Distance b/w Fixed End and Deflection Point
l = (M_t+P*δ)/H+x

What is buckling or crippling load?

In structural engineering, buckling is the sudden change in shape (deformation) of a structural component under loads, such as the bowing of a column under compression or the wrinkling of a plate under shear.

How to Calculate Length of Column given Moment at Section if One End of Column is Fixed and Other is Hinged?

Length of Column given Moment at Section if One End of Column is Fixed and Other is Hinged calculator uses Column Length = (Moment of Section+Column Crippling Load*Deflection at Section)/Horizontal Reaction+Distance b/w Fixed End and Deflection Point to calculate the Column Length, Length of Column given Moment at Section if One End of Column is Fixed and Other is Hinged formula is defined as the distance from the fixed end to the point where the moment is applied, considering the load and deflection of the column. Column Length is denoted by l symbol.

How to calculate Length of Column given Moment at Section if One End of Column is Fixed and Other is Hinged using this online calculator? To use this online calculator for Length of Column given Moment at Section if One End of Column is Fixed and Other is Hinged, enter Moment of Section (M_t), Column Crippling Load (P), Deflection at Section (δ), Horizontal Reaction (H) & Distance b/w Fixed End and Deflection Point (x) and hit the calculate button. Here is how the Length of Column given Moment at Section if One End of Column is Fixed and Other is Hinged calculation can be explained with given input values -> 3E+6 = (0.05+3000*0.012)/2000+3.

FAQ

What is Length of Column given Moment at Section if One End of Column is Fixed and Other is Hinged?

Length of Column given Moment at Section if One End of Column is Fixed and Other is Hinged formula is defined as the distance from the fixed end to the point where the moment is applied, considering the load and deflection of the column and is represented as l = (M_t+P*δ)/H+x or Column Length = (Moment of Section+Column Crippling Load*Deflection at Section)/Horizontal Reaction+Distance b/w Fixed End and Deflection Point. The Moment of Section is an overturning effect (tends to bend or turn the member) created by the force(load) acting on a structural member, Column Crippling Load is the load over which a column prefers to deform laterally rather than compressing itself, Deflection at Section is the lateral displacement at the section of the column, Horizontal Reaction is used to balance the bending moment due to vertical reactions and dead load, live load, etc & Distance b/w Fixed End and Deflection Point is the distance x between the point of deflection at section and fixed point.

How to calculate Length of Column given Moment at Section if One End of Column is Fixed and Other is Hinged?

Length of Column given Moment at Section if One End of Column is Fixed and Other is Hinged formula is defined as the distance from the fixed end to the point where the moment is applied, considering the load and deflection of the column is calculated using Column Length = (Moment of Section+Column Crippling Load*Deflection at Section)/Horizontal Reaction+Distance b/w Fixed End and Deflection Point. To calculate Length of Column given Moment at Section if One End of Column is Fixed and Other is Hinged, you need Moment of Section (M_t), Column Crippling Load (P), Deflection at Section (δ), Horizontal Reaction (H) & Distance b/w Fixed End and Deflection Point (x). With our tool, you need to enter the respective value for Moment of Section, Column Crippling Load, Deflection at Section, Horizontal Reaction & Distance b/w Fixed End and Deflection Point 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 Moment of Section, Column Crippling Load, Deflection at Section, Horizontal Reaction & Distance b/w Fixed End and Deflection Point. We can use 1 other way(s) to calculate the same, which is/are as follows -

Column Length = sqrt((2*pi^2*Modulus of Elasticity of Column*Moment of Inertia Column)/(Column Crippling Load))

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