Column buckling in a pin jointed structure

In summary, the conversation discusses the concept of column buckling and how bar BC is identified as the critical bar in compression. While it is understood that the bar with the highest compressive force and longer length is typically the critical bar, the conversation raises the question of what would happen if the bar had the highest compressive force but the shortest length. The response explains that in such a scenario, other factors such as the load and the material's compressive stress would need to be considered to determine the critical bar.
  • #1
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<< Mentor Note -- thread moved from the schoolwork forums to the ME forum because it's more of a general question >>

Hi, in these column bucking notes (photo attached below) it says that bar BC will buckle first out of all the other bars in compression, but it does not explain why. I know it has the highest compressive force in it and also the longer length, but what if the bar had the highest comrpessive force but the shortest length? Would it still be the critical bar?
 

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  • #2
It didn't explain why, but you did nicely. If there was a different problem where there were to be a larger force in a compression member with smaller length, you'd have to check that one also to see which controls for the compression case. Or you might have a smaller load and longer length that controls. While in any case not exceeding the yield or breaking or failure compressive stress of the material.
 

1. What is column buckling in a pin jointed structure?

Column buckling in a pin jointed structure is a phenomenon where a column or beam, under compressive load, suddenly bends or collapses due to instability in its structure. This can occur when the compressive force exceeds the critical buckling load of the column.

2. How does the pin joint affect column buckling?

A pin joint, also known as a hinged joint, allows for rotation and movement at the connection point between two structural members. This means that the joint does not provide any resistance to bending, making it more susceptible to column buckling.

3. What factors can influence column buckling in a pin jointed structure?

The critical buckling load of a column is affected by various factors such as its length, cross-sectional area, material properties, and end conditions. A longer column, smaller cross-section, and weaker material will result in a lower critical buckling load.

4. How is column buckling in a pin jointed structure prevented?

To prevent column buckling, engineers can use various methods such as increasing the column's cross-sectional area, using stronger materials, or adding additional support through bracing or cross bracing. The use of fixed or clamped end conditions can also help to prevent buckling.

5. What are the potential consequences of column buckling in a pin jointed structure?

If column buckling occurs, it can lead to structural failure, compromising the safety and stability of the entire structure. This can result in property damage, injuries, and even fatalities. Therefore, it is crucial to consider the risk of column buckling when designing and constructing pin jointed structures.

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