Statics: Point loads on columns

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SUMMARY

This discussion focuses on the analysis of point loads on columns in structural engineering. It emphasizes the importance of understanding fixed supports, which provide both force and moment resistance, preventing translational and rotational movements. The conversation highlights that external axial forces contribute to internal compression and reactions at the support, specifically referencing the Euler column formula for further insights. Key contributors include @hongct9791, who suggests visualizing the problem similarly to beam analysis.

PREREQUISITES
  • Understanding of structural elements, specifically columns and their behavior under compression loads.
  • Familiarity with fixed supports and their role in structural stability.
  • Knowledge of equilibrium principles in static systems.
  • Basic grasp of the Euler column formula and its applications.
NEXT STEPS
  • Study the Euler column formula for detailed calculations on column stability.
  • Explore fixed support mechanisms and their implications in structural design.
  • Learn about equilibrium analysis techniques for static structures.
  • Investigate the differences between point loads and distributed loads on columns.
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Civil engineers, structural analysts, and architecture students seeking to deepen their understanding of column behavior under various loading conditions.

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!
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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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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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