Shear stress distribution in triangular steel profile

[Ieliepielie]

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!

 

[ank_gl]

What do you know about the neutral axis? its properties?

 

[nvn]

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.

 

[curllight]

no idea knowing neutral axis and no properties. Its a random question. Also how to graph the distribution?
Thanks.

 

[alphy]

I understand your concern about calculating the maximum shear stress in a triangular thin wall steel beam. The formula you have provided is for a rectangular shape, which may not be applicable to a triangular profile. In this case, you will need to use a different formula that takes into account the unique geometry of the triangular profile.

One approach could be to break down the triangular profile into smaller rectangular sections and calculate the shear stress for each section using the formula you mentioned. Then, you can sum up the individual shear stresses to get the total shear stress for the entire triangular profile. This method may not give an exact value, but it can provide a reasonable estimate.

Another approach could be to use the shear stress formula for a triangular section, which takes into account the base and height of the triangle. This formula is given as tau = 3V/(2bh), where V is the applied force, b is the base of the triangle, and h is the height. This formula can give a more accurate estimation of the maximum shear stress in a triangular profile.

I would also recommend consulting with a structural engineer or using specialized software to accurately calculate the maximum shear stress in a triangular thin wall steel beam. These professionals and tools have the necessary expertise and capabilities to handle complex geometries and provide precise results. I hope this helps and good luck with your calculations.