Deflection at Section given Moment at Section if Both Ends of Column are 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 given Moment at Section if Both Ends of Column are Hinged [δ]

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Deflection at Section given Moment at Section if Both Ends of Column are Hinged

Formula

`"δ" = -"M"_{"t"}/"P"`

Example

`"-0.016667mm"=-"50N*mm"/"3kN"`

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Deflection at Section given Moment at Section if Both Ends of Column are Hinged Solution

STEP 0: Pre-Calculation Summary

Formula Used

Deflection at Section = -Moment of Section/Column Crippling Load
δ = -M_t/P
This formula uses 3 Variables

Variables Used

Deflection at Section - (Measured in Meter) - Deflection at Section is the lateral displacement at the section of the column.
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

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 = -M_t/P --> -0.05/3000

Evaluating ... ...

δ = -1.66666666666667E-05

STEP 3: Convert Result to Output's Unit

-1.66666666666667E-05 Meter -->-0.0166666666666667 Millimeter (Check conversion here)

FINAL ANSWER

-0.0166666666666667 ≈ -0.016667 Millimeter <-- Deflection at Section

(Calculation completed in 00.004 seconds)

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< 7 Both Ends of Columns are Hinged Calculators

Length of Column given Crippling Load with Both Ends of Column Hinged

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

Modulus of Elasticity given Crippling Load with Both Ends of Column Hinged

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

Moment of Inertia given Crippling Load with Both Ends of Column Hinged

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

Crippling Load when Both Ends of Column are Hinged

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

Deflection at Section given Moment at Section if Both Ends of Column are Hinged

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

Moment due to Crippling Load at Section if Both Ends of Column are Hinged

Go Moment of Section = -Column Crippling Load*Deflection at Section

Crippling Load given Moment at Section if Both Ends of Column are Hinged

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

Deflection at Section given Moment at Section if Both Ends of Column are Hinged Formula

Deflection at Section = -Moment of Section/Column Crippling Load
δ = -M_t/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 at Section given Moment at Section if Both Ends of Column are Hinged?

Deflection at Section given Moment at Section if Both Ends of Column are Hinged calculator uses Deflection at Section = -Moment of Section/Column Crippling Load to calculate the Deflection at Section, The Deflection at section given Moment at section if both ends of column are hinged 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 at Section given Moment at Section if Both Ends of Column are Hinged using this online calculator? To use this online calculator for Deflection at Section given Moment at Section if Both Ends of Column are Hinged, enter Moment of Section (M_t) & Column Crippling Load (P) and hit the calculate button. Here is how the Deflection at Section given Moment at Section if Both Ends of Column are Hinged calculation can be explained with given input values -> -16.666667 = -0.05/3000.

FAQ

What is Deflection at Section given Moment at Section if Both Ends of Column are Hinged?

The Deflection at section given Moment at section if both ends of column are hinged 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 = -M_t/P or Deflection at Section = -Moment of Section/Column Crippling Load. 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 at Section given Moment at Section if Both Ends of Column are Hinged?

The Deflection at section given Moment at section if both ends of column are hinged 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 = -Moment of Section/Column Crippling Load. To calculate Deflection at Section given Moment at Section if Both Ends of Column are Hinged, you need Moment of Section (M_t) & Column Crippling Load (P). With our tool, you need to enter the respective value for 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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