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

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

​LaTeX ​Go
Moment of Section = -Column Crippling Load*Deflection at Section+Horizontal Reaction*(Column Length-Distance b/w Fixed End and Deflection Point)
Mt = -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, Moment at Section if One End of Column is Fixed and Other is Hinged formula is defined as a measure of the turning effect of a force around a pivot point in a column where one end is fixed and the other is hinged, providing insight into the structural integrity of the column under various loads. Moment of Section is denoted by Mt 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?
Moment at Section if One End of Column is Fixed and Other is Hinged formula is defined as a measure of the turning effect of a force around a pivot point in a column where one end is fixed and the other is hinged, providing insight into the structural integrity of the column under various loads and is represented as Mt = -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?
Moment at Section if One End of Column is Fixed and Other is Hinged formula is defined as a measure of the turning effect of a force around a pivot point in a column where one end is fixed and the other is hinged, providing insight into the structural integrity of the column under various loads 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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