Is Compressive Strength of Concrete Inversely Proportional to Surface Area?

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SUMMARY

The compressive strength of concrete is defined by the formula max load applied divided by surface area. While it may seem that compressive strength is inversely proportional to surface area, this is misleading. A concrete mix, such as the typical 4,000 psi mix, maintains consistent compressive strength regardless of surface area due to the inherent properties of the material. Advanced mixtures, like those used in the WTC Freedom Tower, can achieve compressive strengths up to 60,000 psi, demonstrating that strength is not solely dependent on surface area.

PREREQUISITES
  • Understanding of compressive strength in materials science
  • Familiarity with concrete mix design and components
  • Knowledge of psi (pounds per square inch) as a unit of measurement
  • Basic principles of load distribution in structural engineering
NEXT STEPS
  • Research advanced concrete mixtures and their properties
  • Explore the effects of micro fiber reinforcement on concrete strength
  • Learn about the application of admix chemicals in concrete
  • Investigate load distribution techniques in structural design
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Civil engineers, construction professionals, and material scientists interested in concrete performance and structural integrity.

jamesdocherty
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Hi, as the compressive strength of concrete formula is max load applied/ surface area, could you say that the compressive strength of concrete is inversely proportional to it's surface area or this would make no sense as the concrete with a smaller surface would have a smaller max load anyway and hence the compressive strength of concrete for a certain mixture will always be roughly the same, thanks for any help!
 
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A fairly typical concrete mix will support around 4,000 psi, with micro fiber reinforcement and admix chemicals different mixes can achieve far higher strengths, allowing them to do the job, using far less space. Some of the concrete for example in the WTC freedom tower is rated @ 60,000 psi, or a 1 inch cube could hold up 60,000 pounds if the force is applied evenly to one face, and the footing of the cube is strong enough. Using a 4,000 psi formula you would need to displace that force over 15 square inches.
 
jamesdocherty said:
Hi, as the compressive strength of concrete formula is max load applied/ surface area, could you say that the compressive strength of concrete is inversely proportional to it's surface area or this would make no sense as the concrete with a smaller surface would have a smaller max load anyway and hence the compressive strength of concrete for a certain mixture will always be roughly the same, thanks for any help!
Yes, the latter.
 

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