What is the center of gravity for different shapes in blanking calculations?

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SUMMARY

The discussion focuses on calculating the center of gravity for specific geometric shapes, particularly an arc and the periphery of a triangle, in the context of blanking calculations. It emphasizes the use of integral calculus to determine these centers, which is essential for calculating blank diameter and center of pressure during blanking operations. The method for the triangle involves calculating the position for each side and then finding the weighted average based on mass. This approach is straightforward and can be referenced in standard textbooks or online resources.

PREREQUISITES
  • Integral calculus for determining centers of gravity
  • Understanding of geometric shapes, specifically arcs and triangles
  • Familiarity with blanking processes in manufacturing
  • Knowledge of weighted averages in mathematical calculations
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  • Research integral calculus applications in mechanical engineering
  • Study the properties of arcs and triangles in geometry
  • Learn about blanking techniques and their calculations
  • Explore weighted average calculations in engineering contexts
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Mechanical engineers, manufacturing professionals, and students studying geometric calculations in engineering applications will benefit from this discussion.

vin300
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what is the centre of gravity of an arc(as opposed to sector) and that of the periphery of triangle(not the area of the triangle)? I'm supposed to use it for calculating blank diameter before drawing and for calculating centre of pressure during blanking.
 
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You can evaluate those shapes with the usual integral for the center of gravity (should be easy to find in any textbook, wikipedia or other web pages). For the triangle, it is easier: Calculate the position for each side, and calculate the weighted average (with mass as weight) of them afterwards.
 

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