What shape does a deformed body take after being stretched?

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Discussion Overview

The discussion revolves around the deformation of a metal rectangle when subjected to stretching forces. Participants explore the resulting shape of the top and bottom lines of the body, questioning whether it resembles a catenary or a parabola. The conversation touches on theoretical and practical aspects of structural deformation.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested

Main Points Raised

  • One participant inquires about the shape that results from stretching a metal rectangle, suggesting possibilities like a catenary or parabola.
  • Another participant references the "Die Design Handbook" as a potential resource for further reading on the topic.
  • A different participant notes that the deformed shape depends on various factors, including the initial shape, dimensions, material properties, and the applied forces.
  • One participant humorously suggests that one could "punch the hole after stretching," implying a different approach to the problem.

Areas of Agreement / Disagreement

There is no consensus on the specific shape resulting from the deformation, and multiple viewpoints regarding the factors influencing the deformation are presented.

Contextual Notes

The discussion lacks detailed assumptions about the material properties and specific conditions of the applied forces, which may affect the analysis of the deformation.

Vajhe
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Hi, I have a problem that I'm trying to solve and I'm not sure at all how can I proceed.

If we have a metal rectangle (or maybe a rectangle-shaped hole in a piece metal), and we stretch this body a small distance, what is the shape of the top and bottom lines of the body? Can we say it is a catenary? A parabole?

Can anyone lead to me to some good papers or books in the subject?

Thank in advance. :oldsmile:
 
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Die Design Handbook, ASTE (Amer. Soc. of Tool Eng.).
 
@Vajhe

The deformed shape of a plate depends on the initial shape , dimensions and material properties of the plate and on the system of forces applied to it .

There is extensive information available about how to analyse structural deformation problems .

What is the particular problem you want to solve ? Can you draw the plate and show how the forces act on it ?
 
Last edited:
Punch the hole after stretching :-)
 

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