Plate with hole, mechanics problem

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SUMMARY

The discussion focuses on calculating the maximum stress in a plate with a hole, specifically at the top and bottom of the hole. The average tensile stress in section A is calculated as 1.67 N/mm² using the formula sigma = F/A, where F is the force of 2000N and A is the area adjusted for the hole dimensions. A critical point raised is the need to include the stress concentration factor, which depends on the plate width and hole diameter, to determine the peak stress accurately.

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Dafe
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Hey, I'm trying to solve a little mechanics problem and I'm stuck.

PlateWithHole.jpg


I want to find the maximum stress in the system. I know that it should be at the top and bottom of the hole. The plate is fully constrained at the left edge.

I find the average tensile stress in section A:

sigma = F/A = 2000N/(100-40)*2 = 1,67N/mm^2

I also know that the stress distribution in section A is not even.

Could someone give me a little hint?
Thanks
 
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You're missing a 0 on the thickness for the area calculation. Once that is taken care of, you need the stress concentration factor that will be a function of the width of the plate and the hole diameter. That will multiply the average stress to get your peak stress.
 

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