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

STEP 0: Pre-Calculation Summary
Formula Used
Horizontal Reaction = (Moment of Section+Column Crippling Load*Deflection at Section)/(Column Length-Distance b/w Fixed End and Deflection Point)
H = (Mt+P*δ)/(l-x)
This formula uses 6 Variables
Variables Used
Horizontal Reaction - (Measured in Newton) - Horizontal Reaction is used to balance the bending moment due to vertical reactions and dead load, live load, etc.
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.
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
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)
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
H = (Mt+P*δ)/(l-x) --> (0.05+3000*0.012)/(5-3)
Evaluating ... ...
H = 18.025
STEP 3: Convert Result to Output's Unit
18.025 Newton -->0.018025 Kilonewton (Check conversion here)
FINAL ANSWER
0.018025 Kilonewton <-- Horizontal Reaction
(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)

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

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

Horizontal Reaction given Moment at Section if One End of Column is Fixed and Other is Hinged calculator uses Horizontal Reaction = (Moment of Section+Column Crippling Load*Deflection at Section)/(Column Length-Distance b/w Fixed End and Deflection Point) to calculate the Horizontal Reaction, The Horizontal reaction given Moment at section if one end of column is fixed and other is hinged formula is defined as reaction which is used to balance the bending moment due to vertical reactions and dead load, live load, etc. Horizontal Reaction is denoted by H symbol.

How to calculate Horizontal Reaction 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 Horizontal Reaction given Moment at Section if One End of Column is Fixed and Other is Hinged, enter Moment of Section (Mt), Column Crippling Load (P), Deflection at Section (δ), Column Length (l) & Distance b/w Fixed End and Deflection Point (x) and hit the calculate button. Here is how the Horizontal Reaction given Moment at Section if One End of Column is Fixed and Other is Hinged calculation can be explained with given input values -> 1.8E-5 = (0.05+3000*0.012)/(5-3).

FAQ

What is Horizontal Reaction given Moment at Section if One End of Column is Fixed and Other is Hinged?
The Horizontal reaction given Moment at section if one end of column is fixed and other is hinged formula is defined as reaction which is used to balance the bending moment due to vertical reactions and dead load, live load, etc and is represented as H = (Mt+P*δ)/(l-x) or Horizontal Reaction = (Moment of Section+Column Crippling Load*Deflection at Section)/(Column Length-Distance b/w Fixed End and Deflection Point). 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, 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 Horizontal Reaction given Moment at Section if One End of Column is Fixed and Other is Hinged?
The Horizontal reaction given Moment at section if one end of column is fixed and other is hinged formula is defined as reaction which is used to balance the bending moment due to vertical reactions and dead load, live load, etc is calculated using Horizontal Reaction = (Moment of Section+Column Crippling Load*Deflection at Section)/(Column Length-Distance b/w Fixed End and Deflection Point). To calculate Horizontal Reaction given Moment at Section if One End of Column is Fixed and Other is Hinged, you need Moment of Section (Mt), Column Crippling Load (P), Deflection at Section (δ), Column Length (l) & Distance b/w Fixed End and Deflection Point (x). With our tool, you need to enter the respective value for Moment of Section, Column Crippling Load, Deflection at Section, 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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