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

STEP 0: Pre-Calculation Summary
Formula Used
Deflection at Section = Deflection of Free End-Moment of Section/Column Crippling Load
δ = a-Mt/P
This formula uses 4 Variables
Variables Used
Deflection at Section - (Measured in Meter) - Deflection at Section is the lateral displacement at the section of the column.
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.
STEP 1: Convert Input(s) to Base Unit
Deflection of Free End: 14 Millimeter --> 0.014 Meter (Check conversion here)
Moment of Section: 50 Newton Millimeter --> 0.05 Newton Meter (Check conversion here)
Column Crippling Load: 3 Kilonewton --> 3000 Newton (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
δ = a-Mt/P --> 0.014-0.05/3000
Evaluating ... ...
δ = 0.0139833333333333
STEP 3: Convert Result to Output's Unit
0.0139833333333333 Meter -->13.9833333333333 Millimeter (Check conversion here)
FINAL ANSWER
13.9833333333333 13.98333 Millimeter <-- Deflection at Section
(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 of Section given Moment of Section if One End of Column is Fixed and Other is Free Formula

Deflection at Section = Deflection of Free End-Moment of Section/Column Crippling Load
δ = a-Mt/P

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

Deflection of Section given Moment of Section if One End of Column is Fixed and Other is Free calculator uses Deflection at Section = Deflection of Free End-Moment of Section/Column Crippling Load to calculate the Deflection at Section, The Deflection of section 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 at Section is denoted by δ symbol.

How to calculate Deflection of Section 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 of Section given Moment of Section if One End of Column is Fixed and Other is Free, enter Deflection of Free End (a), Moment of Section (Mt) & Column Crippling Load (P) and hit the calculate button. Here is how the Deflection of Section given Moment of Section if One End of Column is Fixed and Other is Free calculation can be explained with given input values -> 13983.33 = 0.014-0.05/3000.

FAQ

What is Deflection of Section given Moment of Section if One End of Column is Fixed and Other is Free?
The Deflection of section 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 δ = a-Mt/P or Deflection at Section = Deflection of Free End-Moment of Section/Column Crippling Load. Deflection of Free End is the deflection caused due to crippling load at the free end, 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.
How to calculate Deflection of Section given Moment of Section if One End of Column is Fixed and Other is Free?
The Deflection of section 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 at Section = Deflection of Free End-Moment of Section/Column Crippling Load. To calculate Deflection of Section given Moment of Section if One End of Column is Fixed and Other is Free, you need Deflection of Free End (a), Moment of Section (Mt) & Column Crippling Load (P). With our tool, you need to enter the respective value for Deflection of Free End, Moment of Section & Column Crippling Load 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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