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

✖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%
✖Column Length is the distance between two points where a column gets its fixity of support so its movement is restrained in all directions.ⓘ Column Length [l]			+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%

✖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 at Section if One End of Column is Fixed and Other is Hinged [M_t]

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Formula

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

Formula

`"M"_{"t"} = -"P"*"δ"+"H"*("l"-"x")`

Example

`"4E^6N*mm"=-"3kN"*"12mm"+"2kN"*("5000mm"-"3000mm")`

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

STEP 0: Pre-Calculation Summary

Formula Used

Moment of Section = -Column Crippling Load*Deflection at Section+Horizontal Reaction*(Column Length-Distance b/w Fixed End and Deflection Point)
M_t = -P*δ+H*(l-x)
This formula uses 6 Variables

Variables Used

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.
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 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

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)
Column Length: 5000 Millimeter --> 5 Meter (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

M_t = -P*δ+H*(l-x) --> -3000*0.012+2000*(5-3)

Evaluating ... ...

M_t = 3964

STEP 3: Convert Result to Output's Unit

3964 Newton Meter -->3964000 Newton Millimeter (Check conversion here)

FINAL ANSWER

3964000 ≈ 4E+6 Newton Millimeter <-- Moment of Section

(Calculation completed in 00.004 seconds)

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< 9 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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Moment of Section = -Column Crippling Load*Deflection at Section+Horizontal Reaction*(Column Length-Distance b/w Fixed End and Deflection Point)
M_t = -P*δ+H*(l-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 Moment at Section if One End of Column is Fixed and Other is Hinged?

Moment at Section if One End of Column is Fixed and Other is Hinged calculator uses Moment of Section = -Column Crippling Load*Deflection at Section+Horizontal Reaction*(Column Length-Distance b/w Fixed End and Deflection Point) to calculate the Moment of Section, The Moment at section if one end of column is fixed and other is hinged formula is defined as measure of its tendency to cause body to rotate about specific point or axis. Moment of Section is denoted by M_t symbol.

How to calculate Moment at Section if One End of Column is Fixed and Other is Hinged using this online calculator? To use this online calculator for Moment at Section if One End of Column is Fixed and Other is Hinged, enter Column Crippling Load (P), Deflection at Section (δ), Horizontal Reaction (H), Column Length (l) & Distance b/w Fixed End and Deflection Point (x) and hit the calculate button. Here is how the Moment at Section if One End of Column is Fixed and Other is Hinged calculation can be explained with given input values -> 4E+9 = -3000*0.012+2000*(5-3).

FAQ

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

The Moment at section if one end of column is fixed and other is hinged formula is defined as measure of its tendency to cause body to rotate about specific point or axis and is represented as M_t = -P*δ+H*(l-x) or Moment of Section = -Column Crippling Load*Deflection at Section+Horizontal Reaction*(Column Length-Distance b/w Fixed End and Deflection Point). 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, 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 b/w Fixed End and Deflection Point is the distance x between the point of deflection at section and fixed point.

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

The Moment at section if one end of column is fixed and other is hinged formula is defined as measure of its tendency to cause body to rotate about specific point or axis is calculated using Moment of Section = -Column Crippling Load*Deflection at Section+Horizontal Reaction*(Column Length-Distance b/w Fixed End and Deflection Point). To calculate Moment at Section if One End of Column is Fixed and Other is Hinged, you need Column Crippling Load (P), Deflection at Section (δ), Horizontal Reaction (H), Column Length (l) & Distance b/w Fixed End and Deflection Point (x). With our tool, you need to enter the respective value for Column Crippling Load, Deflection at Section, Horizontal Reaction, Column Length & 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.

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