Shear stress distribution in triangular steel profile

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Discussion Overview

The discussion revolves around calculating the maximum shear stress in a triangular thin wall steel beam, focusing on the challenges of determining the statistical moment for this shape compared to a rectangular profile. Participants explore theoretical aspects and practical implications related to shear stress distribution.

Discussion Character

  • Technical explanation
  • Mathematical reasoning
  • Debate/contested

Main Points Raised

  • One participant outlines a formula for shear stress applicable to rectangular shapes but expresses difficulty in applying it to triangular profiles, particularly regarding the statistical moment.
  • Another participant inquires about the properties of the neutral axis, suggesting its relevance to the discussion.
  • A different participant proposes a formula for maximum shear stress based on the perimeter and wall thickness of the triangle, indicating an alternative approach.
  • One participant admits to a lack of knowledge about the neutral axis and expresses uncertainty about how to graph the shear stress distribution.

Areas of Agreement / Disagreement

Participants do not appear to reach a consensus on the method for calculating shear stress in triangular profiles, with multiple competing views and uncertainties present in the discussion.

Contextual Notes

There are limitations regarding the understanding of the neutral axis and its properties, as well as the challenges in applying known formulas to the triangular shape. The discussion does not resolve these issues.

Ieliepielie
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For my job I have to calculate the maximum shear stress in a triangular thin wall steel beam. I know how to calculate this for a retangular shape.
The general formula is:
tau=Vy*Sza/(b*Iz)
with:
tau= shear stress
Vy=force
Sza = statistical moment
b= width
Iz = moment of Inertia

I just don't see how I could calculate the statistical moment for the triangle. It is a closed profile, therefore there is no point where the shear stress is zero and in contrary to the retangular shape the 'legs' don't have equal direction so it can not just be divided by two. I hope somebody can help me.
Thank you!
 
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What do you know about the neutral axis? its properties?
 
Ieliepielie: My best guess, for maximum shear stress, is currently, tau = 2.0*V/A, where A = s*t, s = triangle perimeter, and t = wall thickness.
 
no idea knowing neutral axis and no properties. Its a random question. Also how to graph the distribution?
Thanks.
 

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