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

STEP 0: Pre-Calculation Summary
Formula Used
Column Crippling Load = (-Moment of Section+Horizontal Reaction*(Column Length-Distance b/w Fixed End and Deflection Point))/Deflection at Section
P = (-Mt+H*(l-x))/δ
This formula uses 6 Variables
Variables Used
Column Crippling Load - (Measured in Newton) - Column Crippling Load is the load over which a column prefers to deform laterally rather than compressing itself.
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.
Deflection at Section - (Measured in Meter) - Deflection at Section is the lateral displacement at the section of the column.
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)
Deflection at Section: 12 Millimeter --> 0.012 Meter (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
P = (-Mt+H*(l-x))/δ --> (-0.05+2000*(5-3))/0.012
Evaluating ... ...
P = 333329.166666667
STEP 3: Convert Result to Output's Unit
333329.166666667 Newton -->333.329166666667 Kilonewton (Check conversion ​here)
FINAL ANSWER
333.329166666667 333.3292 Kilonewton <-- Column Crippling Load
(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)

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

​LaTeX ​Go
Column Crippling Load = (-Moment of Section+Horizontal Reaction*(Column Length-Distance b/w Fixed End and Deflection Point))/Deflection at Section
P = (-Mt+H*(l-x))/δ

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 Crippling Load given Moment at Section if One End of Column is Fixed and Other is Hinged?

Crippling Load given Moment at Section if One End of Column is Fixed and Other is Hinged calculator uses Column Crippling Load = (-Moment of Section+Horizontal Reaction*(Column Length-Distance b/w Fixed End and Deflection Point))/Deflection at Section to calculate the Column Crippling Load, Crippling Load given Moment at Section if One End of Column is Fixed and Other is Hinged formula is defined as the maximum load that a column can withstand without collapsing, considering the moment at a section with one end fixed and the other hinged, which is crucial in structural engineering and building design. Column Crippling Load is denoted by P symbol.

How to calculate Crippling Load 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 Crippling Load given Moment at Section if One End of Column is Fixed and Other is Hinged, enter Moment of Section (Mt), Horizontal Reaction (H), Column Length (l), Distance b/w Fixed End and Deflection Point (x) & Deflection at Section (δ) and hit the calculate button. Here is how the Crippling Load given Moment at Section if One End of Column is Fixed and Other is Hinged calculation can be explained with given input values -> 0.333329 = (-0.05+2000*(5-3))/0.012.

FAQ

What is Crippling Load given Moment at Section if One End of Column is Fixed and Other is Hinged?
Crippling Load given Moment at Section if One End of Column is Fixed and Other is Hinged formula is defined as the maximum load that a column can withstand without collapsing, considering the moment at a section with one end fixed and the other hinged, which is crucial in structural engineering and building design and is represented as P = (-Mt+H*(l-x))/δ or Column Crippling Load = (-Moment of Section+Horizontal Reaction*(Column Length-Distance b/w Fixed End and Deflection Point))/Deflection at Section. 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 & Deflection at Section is the lateral displacement at the section of the column.
How to calculate Crippling Load given Moment at Section if One End of Column is Fixed and Other is Hinged?
Crippling Load given Moment at Section if One End of Column is Fixed and Other is Hinged formula is defined as the maximum load that a column can withstand without collapsing, considering the moment at a section with one end fixed and the other hinged, which is crucial in structural engineering and building design is calculated using Column Crippling Load = (-Moment of Section+Horizontal Reaction*(Column Length-Distance b/w Fixed End and Deflection Point))/Deflection at Section. To calculate Crippling Load given Moment at Section if One End of Column is Fixed and Other is Hinged, you need Moment of Section (Mt), Horizontal Reaction (H), Column Length (l), Distance b/w Fixed End and Deflection Point (x) & Deflection at Section (δ). 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 & Deflection at Section and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Column Crippling Load?
In this formula, Column Crippling Load uses Moment of Section, Horizontal Reaction, Column Length, Distance b/w Fixed End and Deflection Point & Deflection at Section. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Column Crippling Load = (2*pi^2*Modulus of Elasticity of Column*Moment of Inertia Column)/(Column Length^2)
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