How Does a Thin Plate with a Central Hole React Under Stress?

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Discussion Overview

The discussion revolves around the mechanical behavior of a thin plate with a central hole under stress, specifically focusing on the conditions leading to initial yielding and full plastic collapse. The problem involves concepts from elasticity and plasticity, including stress distribution and deformation analysis.

Discussion Character

  • Homework-related
  • Technical explanation

Main Points Raised

  • One participant presents a problem involving a thin plate with specific material properties and dimensions, asking for help in determining the applied remote stress that causes initial yielding and the stress before full plastic collapse.
  • Another participant requests details on the approach taken so far and suggests having reference material that discusses stress concentrations in infinite plates.
  • A participant expresses uncertainty about how to start solving the problem and indicates they have a textbook that does not cover the specific issue at hand.
  • Another reply emphasizes the need for a textbook or handbook that describes the stress field around a circular hole, noting that this is a common problem in solid mechanics and elasticity.

Areas of Agreement / Disagreement

Participants generally agree on the need for reference materials to address the problem, but there is no consensus on how to approach the solution or the specific methodologies to apply.

Contextual Notes

Participants have not provided specific assumptions or methodologies for solving the problem, and there are indications of missing foundational knowledge regarding stress analysis in plates with holes.

peer
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hiiii its me peer...i need some help to solve dis problem.
A thin plate containing a central hole is made of an elastic and perfectly plastic material with youngs modulus E=200GN/M,Poissons ratio v= 0.3 and yield strength infinity=100MPA, D=0.4M,L=2M,W=1.2M.THE THICKNESS OF PLATE IS 0.01

A. find the applied remote stress (infinity) that leads to the initial yielding of any where in the plate.show the distribution of von mises and deformation of the plate at this applied stress.
B.find the maximum possible stress (infinity) that the plate can carry before full plastic collapse.show the distribution of von mises stress and deformation of the plate immediately before this applied stress is reached.
 
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Please show how you've tried to work the problem so far. Do you have reference material (e.g., a textbook) handy that discusses stress concentrations in infinite plates?
 
i have a textbook with me that deals with stress analysis and deformation...but nothng related or dealing with the problem above...i have nt yet started...totally blind...dont know how to start with...please help me in dis problem...please...thanks a lot for ur previous reply...waiting for d same and kind reply...thanks a lot
 
You're going to need a textbook or handbook that describes the stress field around the circular hole. This is a pretty common problem; many solid mechanics / elasticity texts should cover it.
 

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