What gives objects their resistance

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SUMMARY

The discussion focuses on the factors influencing an object's resistance to breaking, specifically emphasizing the roles of shape, mass, and material properties. Key concepts include "tensile strength" and "brittleness," which directly affect how much pressure an object can withstand before failure. The ability to resist breaking scales with the cross-sectional area, and the discussion highlights that no simple formula exists due to the complexity of material properties.

PREREQUISITES
  • Tensile strength concepts
  • Brittleness and ductility definitions
  • Understanding of material properties
  • Basic principles of pressure and force
NEXT STEPS
  • Research "tensile strength" and its calculations
  • Explore the relationship between shape and material resistance
  • Study "brittleness" and its impact on material selection
  • Investigate mathematical models for material failure under load
USEFUL FOR

Engineers, materials scientists, and students studying mechanics or material properties will benefit from this discussion, particularly those interested in understanding how shape and mass influence an object's strength and resistance to breaking.

WavesOfPhysics
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some objects of the same material can be broken applying different amounts of strenght in a certain way, and this goes back directly to their shape and their mass.
and to break any object we have to put an amount of pressure sufficient enough and in the optimum places to get the best results, but how does the mass and the shape of the object influence it's resistance to pressure therefore giving it 'strenght' ?
any mathematical formulas would be of great help besides the literal describtion
 
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In general, the ability to avoid breaking under load scales with the cross-section area.
I think the concepts you are looking for will fall around the idea of "tensile strength" and "brittleness" - go look.

In general - material properties is a complicated field - the strength of an object depends on how it is made as well as what it is made out of and it's shape, for instance. If you are looking for a simple formula - you won't find one.
 

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