Max Hole Size for Concrete Pier w/ 2000 People on Top

In summary, using the given dimensions and weight of the structure, as well as the density and compression strength of concrete, the two largest holes that can be drilled without the structure collapsing are both 1.53 ft in diameter. This can be calculated using the equation D = [(2 * 15000 psi * 50 ft * 25 ft) / (2000 people * 200 pounds * 156lb/ft^3)]^(1/2).
  • #1
youssefe
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1. Concrete pier with dimensions of 50' wide 100' tall and 5 feet deep. There are 2000 people standing on top each 200 pounds. Two holes are bore through the concrete one center 25 feet from the top the other 25 feet from the bottom, and it is on the side that is 50 feet wide right in the middle. If the density of the concrete is 156lb/ft^3 and the ultimate compression strength of concrete is 15000 psi, what are the two largest holes that can be drilled without the structure collapsing?


I need help knowing how to approach this problem as this problem was assigned the first day of class and i am a little intimidated by it.
 
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  • #2
The answer should be in the form of two hole diameters. The diameter of the hole at 25ft from the top can be calculated using the equation: D = [(2 * 15000 psi * 50 ft * 25 ft) / (2000 people * 200 pounds * 156lb/ft^3)]^(1/2). This gives us a diameter of 1.53 ft.Similarly, the diameter of the hole at 25ft from the bottom can be calculated using the equation: D = [(2 * 15000 psi * 50 ft * 25 ft) / (2000 people * 200 pounds * 156lb/ft^3)]^(1/2). This gives us a diameter of 1.53 ft as well.Therefore, the two largest holes that can be drilled without the structure collapsing are both 1.53 ft in diameter.
 

1. What is the maximum hole size allowed for a concrete pier with 2000 people on top?

The maximum hole size for a concrete pier with 2000 people on top depends on several factors such as the type of concrete, the strength of the pier, and the load capacity. Generally, the hole size should not exceed 1/3 of the pier's diameter to ensure structural integrity.

2. Why is it important to consider the maximum hole size for a concrete pier with 2000 people on top?

The maximum hole size is crucial because it directly impacts the stability and safety of the structure. A larger hole can weaken the pier and increase the risk of collapse, especially with a heavy load like 2000 people on top.

3. How do you determine the maximum hole size for a concrete pier with 2000 people on top?

The maximum hole size is determined by conducting structural analysis and load calculations. These calculations take into account the strength of the concrete, the design of the pier, and the expected load on the structure. A professional engineer should be consulted to ensure the calculations are accurate.

4. Are there any regulations or standards for the maximum hole size in a concrete pier with 2000 people on top?

Yes, there are building codes and standards that specify the maximum hole size for a concrete pier with a given load. These codes are designed to ensure the safety and stability of structures and must be followed to meet safety requirements.

5. Can the maximum hole size for a concrete pier with 2000 people on top be increased?

The maximum hole size for a concrete pier should not be increased unless approved by a professional engineer. This may require additional reinforcement or other measures to ensure the structural integrity of the pier is not compromised. Any changes should be made under the guidance of a qualified engineer to ensure safety is not compromised.

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