Calculating volume of an arch dam

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SUMMARY

To calculate the volume of an arch dam, one must first determine the equation of the arc curve that defines the dam's shape. The volume can be calculated by finding the area of the top surface of the dam and multiplying it by the height of the dam. This method assumes the dam has a uniform height and does not account for any angled or curved walls. Precise calculations require accurate measurements of the arc and height.

PREREQUISITES
  • Understanding of geometric principles related to curves and areas
  • Familiarity with calculus for determining the area under curves
  • Knowledge of basic volume calculation methods
  • Ability to interpret mathematical equations related to arch shapes
NEXT STEPS
  • Research methods for calculating areas under curves using calculus
  • Explore geometric properties of arch structures in civil engineering
  • Learn about the specific equations used for arch dam design
  • Investigate software tools for modeling and calculating dam volumes
USEFUL FOR

Civil engineers, students studying structural engineering, and anyone involved in the design and analysis of dam structures will benefit from this discussion.

Idol24
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Homework Statement


How would I calculate the volume of an arch damm?


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The Attempt at a Solution

 
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you need to give more information, but in the general case, if you have the equation of the arc curve, and the height(supposing it isn't an angled/curved wall(height)) find the area of the top and multiply by the height
 

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