Deflection at Section 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%
✖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%
✖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 One End of Column is Fixed and Other is Hinged [δ]

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

STEP 0: Pre-Calculation Summary

Formula Used

Deflection at Section = (-Moment of Section+Horizontal Reaction*(Column Length-Distance b/w Fixed End and Deflection Point))/Column Crippling Load
δ = (-M_t+H*(l-x))/P
This formula uses 6 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.
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.
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)
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)
Column Crippling Load: 3 Kilonewton --> 3000 Newton (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

δ = (-M_t+H*(l-x))/P --> (-0.05+2000*(5-3))/3000

Evaluating ... ...

δ = 1.33331666666667

STEP 3: Convert Result to Output's Unit

1.33331666666667 Meter -->1333.31666666667 Millimeter (Check conversion here)

FINAL ANSWER

1333.31666666667 ≈ 1333.317 Millimeter <-- Deflection at Section

(Calculation completed in 00.004 seconds)

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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)

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

LaTeX Go

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

Deflection at Section given Moment at Section if One End of Column is Fixed and Other is Hinged calculator uses Deflection at Section = (-Moment of Section+Horizontal Reaction*(Column Length-Distance b/w Fixed End and Deflection Point))/Column Crippling Load to calculate the Deflection at Section, Deflection at Section given Moment at Section if One End of Column is Fixed and Other is Hinged formula is defined as a measure of the lateral displacement of a column section when one end is fixed and the other is hinged, providing insight into the column's structural behavior under load. Deflection at Section is denoted by δ symbol.

How to calculate Deflection at Section 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 Deflection at Section given Moment at Section if One End of Column is Fixed and Other is Hinged, enter Moment of Section (M_t), Horizontal Reaction (H), Column Length (l), Distance b/w Fixed End and Deflection Point (x) & Column Crippling Load (P) and hit the calculate button. Here is how the Deflection at Section given Moment at Section if One End of Column is Fixed and Other is Hinged calculation can be explained with given input values -> 1.3E+6 = (-0.05+2000*(5-3))/3000.

FAQ

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

Deflection at Section given Moment at Section if One End of Column is Fixed and Other is Hinged formula is defined as a measure of the lateral displacement of a column section when one end is fixed and the other is hinged, providing insight into the column's structural behavior under load and is represented as δ = (-M_t+H*(l-x))/P or Deflection at Section = (-Moment of Section+Horizontal Reaction*(Column Length-Distance b/w Fixed End and Deflection Point))/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, 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 & 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 One End of Column is Fixed and Other is Hinged?

Deflection at Section given Moment at Section if One End of Column is Fixed and Other is Hinged formula is defined as a measure of the lateral displacement of a column section when one end is fixed and the other is hinged, providing insight into the column's structural behavior under load is calculated using Deflection at Section = (-Moment of Section+Horizontal Reaction*(Column Length-Distance b/w Fixed End and Deflection Point))/Column Crippling Load. To calculate Deflection at Section given Moment at Section if One End of Column is Fixed and Other is Hinged, you need Moment of Section (M_t), Horizontal Reaction (H), Column Length (l), Distance b/w Fixed End and Deflection Point (x) & Column Crippling Load (P). With our tool, you need to enter the respective value for Moment of Section, Horizontal Reaction, Column Length, Distance b/w Fixed End and Deflection Point & 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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