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Concrete creep refers to the gradual, long-term deformation of concrete under sustained load. This phenomenon occurs due to the internal changes in the microstructure of concrete over time, particularly when it's under constant stress. As concrete creeps, it can lead to additional deflections and changes in the geometry of structural elements, which may ultimately place them at risk of failure.

The consequences of creep can include excessive settlement, changes in the position of structural elements, and the potential for cracking or other forms of distress. If not properly accounted for in design, these factors can lead to compromised structural integrity and, in severe cases, failure under load. For this reason, engineers need to consider creep when designing concrete structures, ensuring that they use appropriate materials and techniques to accommodate or mitigate its effects.

In contrast, the other aspects mentioned, like increased load-bearing capacity, enhanced visual appeal, or reduction in water drainage, do not correlate directly with the phenomenon of concrete creep. Properly designed structures should aim to maintain stability and safety, making awareness of creep's consequences vital for effective engineering practice.