Column Problem Help: Calculating Length of Conical Steel Column Under Load

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In summary, the conversation discusses the calculation of the length under load for a straight conical column made of steel. The column has an original length of 1000mm, a head diameter of 90mm, and a ground diameter of 190mm. It is being loaded by a normal force of 1450kN. The question of whether to use the hollow formula for the area or any other methods is also raised. It is suggested to integrate using the formula (force/E) (1/A(x)) dx = d(strain) to find the deformed length. However, clarification is needed on whether the normal force is axial or normal to the member. If it is axial, then the integration method is correct.
  • #1
teng125
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A straight conical column made of steal (original length 1000mm, head diameter 90 mm, ground diameter 190 mm) is loaded by a normal force F = 1450 kN. What is the length under load ?

for this ,the diameter is changing along the column,should i assume is as hollow and use the hollow formula for the area or any other ways??
 
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  • #2
i get (force/E) (1/A(x)) dx = d(strain)

then i integrate to get (F/E) ln[(pi*d^2)/4] = deformed length - original lengh

am i correct??
 
  • #3
When you say normal force, what do you mean? Axial or normal to the member? If it is axial, then yes, you have to integrate.
 

1. How do I calculate the length of a conical steel column under load?

To calculate the length of a conical steel column under load, you will need to know the weight of the load, the material properties of the column, and the load-bearing capacity of the column. Using these values, you can apply the principles of statics and structural analysis to determine the length of the column needed to support the load.

2. What factors affect the calculation of the length of a conical steel column under load?

The length of a conical steel column under load is affected by several factors, including the weight and distribution of the load, the material properties of the column (such as its diameter and thickness), and the type of support or connection at the ends of the column. Additionally, the shape and orientation of the column may also impact the calculation.

3. How does the weight of the load impact the length of a conical steel column?

The weight of the load is a major factor in determining the length of a conical steel column under load. The heavier the load, the more stress it will place on the column, and therefore the longer the column will need to be to support the load without buckling or failing.

4. What are some common mistakes to avoid when calculating the length of a conical steel column under load?

One common mistake when calculating the length of a conical steel column under load is not accounting for all of the relevant factors, such as the weight distribution of the load or the type of support at the ends of the column. It is also important to use accurate and up-to-date material properties for the column to ensure an accurate calculation.

5. Can software be used to calculate the length of a conical steel column under load?

Yes, there are many software programs available that can assist with calculating the length of a conical steel column under load. These programs use complex algorithms and advanced structural analysis methods to provide an accurate and efficient calculation. However, it is still important for the user to have a basic understanding of the principles involved in order to properly interpret and use the results from the software.

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