Stress Concentration Calculation

[koolraj09]

Hi everyone,

I wanted to know the stress concentration factor (K_t) for a cantilever beam with a fillet at the root with a point load applied at the end. Can I get the stress concentration factor if this beam is a 3D beam (thickness is comparable to length)?
I had a look at Peterson's SCF handbook but this particular geometry is i guess complex to be not listed.
Thanks

 

[SteamKing]

Do you mean that the depth of the beam is comparable to its length?

 

[nvn]

Thickness is the beam width, into the page.

Can I get the stress concentration factor if this beam is a 3D beam (thickness is comparable to length)?

koolraj09: Yes, you could get an approximation, especially if the tip load is consistently applied, per unit width into the page, along the tip of the cantilever.

See the attached figure. It probably comes from Peterson's, or similar. Let us know if the figure is unclear.

 

[koolraj09]

Hi,
Actually I researched Peterson's again and found out the approximate Kt. It is derived from an analogy of stress concentration at the fillet of a gear tooth. Here's the link which I found (The first one in the search). It mentions Kt for short cantilever beams:
https://www.google.com/search?q=Stu...astic+study+of+stresses+in+gear+tooth+fillets