What is the thickness of a steel bar with holes?

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Discussion Overview

The discussion revolves around calculating the thickness of a steel bar that contains holes, with a focus on the geometry involved in determining the overall dimensions based on the arrangement of these holes. Participants explore various methods and considerations related to the calculation, including the implications of the bar's design and features.

Discussion Character

  • Technical explanation
  • Mathematical reasoning
  • Conceptual clarification

Main Points Raised

  • One participant describes the dimensions of the steel bar and the arrangement of holes, suggesting that the overall thickness would be 26mm under certain conditions but is uncertain about the actual thickness due to the pattern of holes.
  • Another participant questions the presence of dimple features on the bar and inquires about the method of hole formation, suggesting that deformation may not be typical for a bar.
  • A different participant proposes that the question may involve calculating distances using trigonometry, asking for clarification on the application of the calculation.
  • Another participant suggests an alternative approach by drawing an equilateral triangle between the centers of three adjacent circles, indicating that known side lengths can help find the height and total width without needing trigonometry.

Areas of Agreement / Disagreement

Participants present differing views on the methods for calculating the thickness and the relevance of trigonometry, indicating that there is no consensus on the best approach to the problem.

Contextual Notes

There are assumptions regarding the geometry of the holes and the bar's design that are not fully detailed, which may affect the calculations. The discussion also lacks clarity on the specific application of the calculations proposed.

GulfOnBoard
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TL;DR
Calculation of thickness.
I’m trying to calculate the thickness of a steel bar with holes. It’s hard to describe so here’s a picture Imgur: The magic of the Internet (the white circles are 10mm holes and the dark grey area are 2mm steel wallthickness).

If the holes would be horizontal inline to each other with 2mm steel between them and also 2mm steel at the outerwalls, the overall thickness would be 26mm, but with the pattern in the picture the thickness will be less, but exactly how much less?
 
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Why does the "bar" have dimple features? Are the holes formed by drilling or by punching? If by drilling, why would a "bar" be deformed?

1579912774155.png
 
Or is your question just one of how to calculate the distances using trigonometry? We can help with that if you haven't had trig yet. What is the application?
 
This doesn't need trigonometry. Draw a triangle between the centers of three adjacent circles. It is an equilateral triangle, you know its side lengths, and you can find its height with the usual formula (or Pythagoras if you want to derive that formula). Add the known distances to the left/right edges and you have the total width.
 
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