# Statics: Point loads on columns

• Engineering
• hongct9791
hongct9791
Homework Statement
I've been dealing with point loads on beams, but don't know much about columns. Thank you!
Relevant Equations
N/A

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.

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.

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

hongct9791

## What is a point load in the context of statics and columns?

A point load is a concentrated force acting at a specific point on a structure, such as a column. It is assumed to act over a very small area, effectively considered as a single point. This type of load can cause bending, shear, and axial stresses in the column.

## How do you calculate the reactions at the supports of a column with a point load?

To calculate the reactions at the supports of a column with a point load, you need to use the principles of static equilibrium. This involves summing the forces and moments to zero. For a simply supported column, you would set up equations for the sum of vertical forces and the sum of moments about one of the supports to solve for the reactions.

## What are the effects of a point load on a column?

A point load on a column can cause bending moments, shear forces, and axial compression or tension. The bending moment is typically highest at the point of application of the load, and the shear force is constant along the length of the column between the supports. The axial force is distributed along the column's length.

## How do you determine the bending moment in a column subjected to a point load?

The bending moment in a column subjected to a point load can be determined using the moment equation $$M = F \times d$$, where $$F$$ is the magnitude of the point load and $$d$$ is the distance from the point of interest to the location of the load. For a simply supported column, the maximum bending moment usually occurs at the point of load application.

## What safety factors should be considered when designing a column with point loads?

When designing a column with point loads, safety factors such as load factors, material strength, and buckling should be considered. Load factors account for uncertainties in the applied loads, while material strength factors account for variations in material properties. Buckling safety factors are crucial for slender columns to prevent sudden failure due to instability.

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