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

✖Deflection of Free End is the deflection caused due to crippling load at the free end.ⓘ Deflection at Free End given Moment of Section if One End of Column is Fixed and Other is Free [a]

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

Formula

`"a" = "M"_{"t"}/"P"+"δ"`

Example

`"12.01667mm"="50N*mm"/"3kN"+"12mm"`

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

STEP 0: Pre-Calculation Summary

Formula Used

Deflection of Free End = Moment of Section/Column Crippling Load+Deflection at Section
a = M_t/P+δ
This formula uses 4 Variables

Variables Used

Deflection of Free End - (Measured in Meter) - Deflection of Free End is the deflection caused due to crippling load at the free end.
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.

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)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

a = M_t/P+δ --> 0.05/3000+0.012

Evaluating ... ...

a = 0.0120166666666667

STEP 3: Convert Result to Output's Unit

0.0120166666666667 Meter -->12.0166666666667 Millimeter (Check conversion here)

FINAL ANSWER

12.0166666666667 ≈ 12.01667 Millimeter <-- Deflection of Free End

(Calculation completed in 00.004 seconds)

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< 8 One End of Column is Fixed and Other is Free Calculators

Length of Column given Crippling Load if One End of Column is Fixed and Other is Free

Go Column Length = sqrt((pi^2*Modulus of Elasticity of Column*Moment of Inertia Column)/(4*Column Crippling Load))

Modulus of Elasticity given Crippling Load if One End of Column is Fixed and Other is Free

Go Modulus of Elasticity of Column = (4*Column Length^2*Column Crippling Load)/(pi^2*Moment of Inertia Column)

Moment of Inertia given Crippling Load if One End of Column is Fixed and Other is Free

Go Moment of Inertia Column = (4*Column Length^2*Column Crippling Load)/(pi^2*Modulus of Elasticity of Column)

Crippling Load if One End of Column is Fixed and Other is Free

Go Column Crippling Load = (pi^2*Modulus of Elasticity of Column*Moment of Inertia Column)/(4*Column Length^2)

Moment of Section due to Crippling Load if One End of Column is Fixed and Other is Free

Go Moment of Section = Column Crippling Load*(Deflection of Free End-Deflection at Section)

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

Go Column Crippling Load = Moment of Section/(Deflection of Free End-Deflection at Section)

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

Go Deflection of Free End = Moment of Section/Column Crippling Load+Deflection at Section

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

Go Deflection at Section = Deflection of Free End-Moment of Section/Column Crippling Load

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

Deflection of Free End = Moment of Section/Column Crippling Load+Deflection at Section
a = M_t/P+δ

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

Deflection at Free End given Moment of Section if One End of Column is Fixed and Other is Free calculator uses Deflection of Free End = Moment of Section/Column Crippling Load+Deflection at Section to calculate the Deflection of Free End, The Deflection at free end given moment of section if one end of column is fixed and other is free formula is defined as the degree to which a structural element is displaced under a load (due to its deformation). It may refer to an angle or a distance. Deflection of Free End is denoted by a symbol.

How to calculate Deflection at Free End given Moment of Section if One End of Column is Fixed and Other is Free using this online calculator? To use this online calculator for Deflection at Free End given Moment of Section if One End of Column is Fixed and Other is Free, enter Moment of Section (M_t), Column Crippling Load (P) & Deflection at Section (δ) and hit the calculate button. Here is how the Deflection at Free End given Moment of Section if One End of Column is Fixed and Other is Free calculation can be explained with given input values -> 12016.67 = 0.05/3000+0.012.

FAQ

What is Deflection at Free End given Moment of Section if One End of Column is Fixed and Other is Free?

The Deflection at free end given moment of section if one end of column is fixed and other is free formula is defined as the degree to which a structural element is displaced under a load (due to its deformation). It may refer to an angle or a distance and is represented as a = M_t/P+δ or Deflection of Free End = Moment of Section/Column Crippling Load+Deflection at Section. 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.

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

The Deflection at free end given moment of section if one end of column is fixed and other is free formula is defined as the degree to which a structural element is displaced under a load (due to its deformation). It may refer to an angle or a distance is calculated using Deflection of Free End = Moment of Section/Column Crippling Load+Deflection at Section. To calculate Deflection at Free End given Moment of Section if One End of Column is Fixed and Other is Free, you need Moment of Section (M_t), Column Crippling Load (P) & Deflection at Section (δ). With our tool, you need to enter the respective value for Moment of Section, Column Crippling Load & Deflection at Section and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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