Statics: Point loads on columns

  • #1
hongct9791
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Homework Statement
I've been dealing with point loads on beams, but don't know much about columns. Thank you!
Relevant Equations
N/A
螢幕擷取畫面 (82).png

If it was about beams, I would usually do clockwise and anti-clockwise first, taking moments on A/B, clockwise forces times distance = anti-clockwise forces times distance, since its in equilibrium.
 
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  • #2
Welcome, @hongct9791 !

You may turn the drawing sideways and approach the problem like you do for a beam.
A column is a structural element that works mainly under compression loads that align with its long axis.
Having those three reactions at one end, shows that there is a fixed type of structural support at that point.

Copied from
https://en.m.wikipedia.org/wiki/Structural_support

“Fixed support:

Rigid or fixed supports maintain the angular relationship between the joined elements and provide both force and moment resistance. It exerts forces acting in any direction and prevents all translational movements (horizontal and vertical) as well as all rotational movements of a member.”

The external axial force only contributes to the internal compression of the column and to the reaction Vb, as its line of action goes through the center of the support.
The external forces that are oriented perpendicularly to the column contribute to both reactions at the support, Hb y Mb.

Please, see:
https://www.engineeringtoolbox.com/euler-column-formula-d_1813.html
 
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